AADRL Design Research Lab Workshop WS2: 'λ:LAMBDA' - Cellular Automata Evaluating the Edge of Chaos

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AADRL WORKSHOP 02 2013|15 CELLULAR AUTOMATA PROGRAMME DIRECTOR theodore spyropoulos COURSE MASTER mostafa el sayed STUDENTS dmytro oleksandrovych aranchii paul clemens bart iris yuqiu jiang flavia ghirotto santos


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

00_ CONTENT

01_ initial research 02_ 2d catalogue 03_ spatial layering 04_ selected case studies (stacking) 05_ differentiation and optimisation 06_ full 3d catalogue 07_ case study evaluation (3d) 08_ visualisations 09_ prototyping



01 |

initial research



ca | key parameters | research agenda

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

rules 23|3

intial voxel

< 2 neighbors | loneliness

= 3 neighbors | newborn minimum input <-> maximum control predictable behaviour <-> emergent qualities

>3 neighbors | overpopulation

complex system


first step to observe changes is scaling of initial pattern slightly, cell by cell, and significantly, changing not necessarily the whole geometry in 2d but each part linearly as well. Pattern fractalizing is also a technique involved into observation. Complexity is achieved by subdividing cells2 and 4 times. Changing of the ruleset is playing certain role in current research. However it is not a primary approach to design the ca in this particular case, just equal branch of exploration. Grid is a source of completely new behavior. From square to hexagonal, from 8 (straight and diagonal) to 6 identical neighbours. During the process of evaluation several separated outlines can be described: butterfly effect, the edge of chaos as a boarder between predictability and stability, population development (in terms of density as tendency to extinct or overcrowd), the direction of development and stable/dynamic type of growth.


ca | research outline | key observations

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

01_ butterfly effect KEY OPERATIONS 01_ scaling of initial pattern

02_transforming of initial pattern initial state

emergent behavior

3x3

5x5

central config.

03_ subdivision of voxel

intial voxel

2x2

translation

rotation

04_ grid resolution

4x4

05_ variation in newborn rules

32x32

64x64

max order

max complexity

03_ population development --

++

extinction

high density

128x128

06_ differentiation in age newborn stable dead

s23 / 3

KEY OBSERVATIONS

02_ the edge of chaos

04_ directional development

s23 / 2

07_ grid geometry

inwards growth

08_ treating the boundary

sprawl

05_ variation

rect

hex

strict boundary

transporting boundary

no boundary stable system

dynamic system



02 |

2d catalogue


ca | generation | initial state | game of life name | initial0 rule | 23|3 end state | blinker symmetry | symmetrical growth | expanding centre | centralized periodicity | 07 generations geometry | snowflake stability | stable

generation0

generation03

generation05

generation07

name | initial0.1 rule | 23|3 end state | extint symmetry | symmetrical growth | stable centre | centralized periodicity | 10 generations geometry | snowflake stability | stable

generation0

generation05

generation08

generation10

name | initial0.2 rule | 23|3 end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 30 generations geometry | snowflake stability | stable

generation0

generation09

generation20

generation30


ca | generation | initial state | cross 02

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name | initial0.3 rule | 23|3 end state | extint symmetry | symmetrical growth | stable centre | centralized periodicity | 10 generations geometry | snowflake stability | stable

generation0

generation05

generation08

generation10

name | initial1 rule | 23|3 end state | extint symmetry | symmetrical growth | expanding / shrinking centre | centralized periodicity | 08 generations geometry | descentralized stability | stable

generation0

generation03

generation05

generation08

name | initial1.1 rule | 23|3 end state | blinker symmetry | symmetrical growth | expanding centre | centralized periodicity | 08 generations geometry | descentralized stability | stable

generation0

generation04

generation06

generation08


ca | generation | initial state | cross 02 name | initial1.2 rule | 23|3 end state | extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 08 generations geometry | descentralized stability | stable

generation0

generation04

generation06

generation08

name | initial1.3 rule | 23|3 end state | stable symmetry | symmetrical growth | expanding centre | centralized periodicity | 08 generations geometry | snowflake stability | stable

generation0

generation03

generation05

generation08

name | initial1.4 rule | 23|3 end state | stable symmetry | symmetrical growth | stable centre | centralized periodicity | 01 generations geometry | concentric stability | stable

generation0

generation02

generation03

generation04


ca | generation | initial state | cross 02

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name | initial2 rule | 23|3 end state | stable symmetry | symmetrical growth | expanding centre | descentralized periodicity | 160 generations geometry | descentralized stability | stable

generation0

generation50

generation104

generation160

name | initial2.1 rule | 23|3 end state | stable growing symmetry | unsymmetrical growth | expanding centre | descentralized periodicity | 49 generations geometry | descentralized stability | stable

generation0

generation10

generation26

generation49

name | initial2.2 rule | 23|3 end state | blinker symmetry | symmetrical growth | expanding centre | centralized periodicity | 12 generations geometry | concentric stability | stable

generation0

generation03

generation08

generation12


ca | generation | initial state | cross 02 name | initial2.3 rule | 23|3 end state | extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 28 generations geometry | concentric stability | stable

generation0

generation09

generation19

generation28

name | initial2.4 rule | 23|3 end state | stable growing symmetry | unsymmetrical growth | expanding centre | centralized periodicity | 135 generations geometry | descentralized stability | stable

generation0

generation30

generation80

generation135


ca | generation | grid | snowflake | growing

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name | initial2 rule | 23|3 end state | instable symmetry | symmetrical growth | expanding centre | centralized periodicity | 81 generations geometry | centralized stability | instable

generation0

generation 15

generation 18

generation 31

name | initial2.1 rule | 23|3 end state | stable symmetry | symmetrical growth | static centre | scentralized periodicity | 52 generations geometry | centralized stability | stable

generation0

generation 08

generation 35

generation 51

name | initial2.2 rule | 23|3 end state | stable symmetry | symmetrical growth | expanding centre | centralized periodicity | 18 generations geometry | concentric stability | stable

generation0

generation 07

generation 12

generation 18


ca | generation | grid | snowflake | growing

generation01

generation01

generation01

generation01

generation08

generation08

generation08

generation08

generation16

generation16

generation16

generation11

rule | 23|3

rule | 33|3

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

stability | stable

stability | stable

generation24

generation01

generation11

generation15

rule | 23|2

rule | 33|2

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

stability | stable

stability | stable

generation24

generation01

generation08

generation16

generation24

rule | 32|2

rule | 22|3

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake stability | stable

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

generation24

generation15

generation08

stability | stable

generation01

generation08

generation16

generation24

rule | 32|3

rule | 22|2

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

stability | stable

stability | stable

generation01

generation08

generation16

generation24


ca | generation | snowflake | grid | no counter

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

rule | 23|3

generation01

generation08

generation16

generation24

rule | 33|3

generation01

generation08

generation16

generation24

rule | 23|2

generation01

generation08

generation16

generation24

rule | 33|2

generation01

generation08

generation16

generation24

rule | 32|2

generation01

generation08

generation16

generation24

rule | 22|3

generation01

generation08

generation16

generation24

rule | 32|3

generation01

generation08

generation16

generation24

rule | 22|2

generation01

generation08

generation16

generation24


ca | generation | snowflake | grid | no counter

rule | 23|3

generation01

generation08

generation16

generation24

rule | 33|3

generation01

generation08

generation16

generation24

rule | 23|2

generation01

generation08

generation16

generation24

rule | 33|2

generation01

generation08

generation16

generation24

rule | 32|2

generation01

generation08

generation16

generation24

rule | 22|3

generation01

generation08

generation16

generation24

rule | 32|3

generation01

generation08

generation16

generation24

rule | 22|2

generation01

generation08

generation16

generation24


ca | generation | snowflake | grid | no counter

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

rule | 23|3

generation01

generation08

generation16

generation24

rule | 33|3

generation01

generation08

generation16

generation24

rule | 23|2

generation01

generation08

generation16

generation24

rule | 33|2

generation01

generation08

generation16

generation24

rule | 32|2

generation01

generation08

generation16

generation24

rule | 22|3

generation01

generation08

generation16

generation24

rule | 32|3

generation01

generation08

generation16

generation24

rule | 22|2

generation01

generation08

generation16

generation24


ca | generation | snowflake | grid | no counter

rule | 23|3

generation01

generation08

generation16

generation24

rule | 33|3

generation01

generation08

generation16

generation24

rule | 23|2

generation01

generation08

generation16

generation24

rule | 33|2

generation01

generation08

generation16

generation24

rule | 32|2

generation01

generation08

generation16

generation24

rule | 22|3

generation01

generation08

generation16

generation24

rule | 32|3

generation01

generation08

generation16

generation24

rule | 22|2

generation01

generation08

generation16

generation24


ca | generation | snowflake | grid | no counter

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

rule | 23|3

generation01

generation08

generation16

generation24

rule | 33|3

generation01

generation08

generation16

generation24

rule | 23|2

generation01

generation08

generation16

generation24

rule | 33|2

generation01

generation08

generation16

generation24

rule | 32|2

generation01

generation08

generation16

generation24

rule | 22|3

generation01

generation08

generation16

generation24

rule | 32|3

generation01

generation08

generation16

generation24

rule | 22|2

generation01

generation08

generation16

generation24


ca | generation | snowflake name | one point rule | 23|13 end state | endless symmetry | central growth | expanding centre | centralized periodicity | geometry | snowflake stability | stable

generation0

generation07

generation14

generation17

name | one point rule | 22|12 end state | endless symmetry | central growth | expanding centre | centralized periodicity | geometry | snowflake stability | stable

generation0

generation07

generation14

generation17

name | one point rule | 22|13 end state | endless symmetry | central growth | expanding centre | centralized periodicity | geometry | snowflake stability | stable

generation0

generation07

generation14

generation17


ca | generation | snowflake

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name |one point rule | 23|12 end state | endless symmetry | central growth | expanding centre | centralized periodicity | geometry | snowflake stability | stable

generation0

generation07

generation14

generation17

name | one point rule | 32|12 end state | endless symmetry | central growth | expanding centre | centralized periodicity | geometry | snowflake stability | stable

generation0

generation07

generation14

generation17

name | one point rule | 33|12 end state | endless symmetry | central growth | expanding centre | centralized periodicity | geometry | snowflake stability | stable

generation0

generation07

generation14

generation17


ca | generation | grid | snowflake | game of life

generation01

generation01

generation01

generation01

generation03

generation08

generation02

generation02

generation05

generation16

generation03

generation03

rule | 23|3

rule | 33|3

end state | blinker symmetry | symmetrical growth | expanding centre | centralized periodicity | 07 generations geometry | snowflake

end state | extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 02 generations geometry | snowflake

stability | stable

stability | stable

generation07

generation01

generation03

generation04

rule | 23|2

rule | 33|2

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 03 generations geometry | snowflake

stability | stable

stability | stable

generation24

generation01

generation02

generation03

generation04

rule | 32|2

rule | 22|3

end state |extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 03 -generations geometry | snowflake stability | stable

end state | extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 04 generations geometry | snowflake

generation04

generation04

generation02

stability | stable

generation01

generation02

generation03

generation04

rule | 32|3

rule | 22|2

end state | extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 02 generations geometry | snowflake

end state | extint symmetry | symmetrical growth | expanding centre | centralized periodicity | 08 generations geometry | snowflake

stability | stable

stability | stable

generation01

generation04

generation06

generation08


ca | generation | hexgrid |snowflake | growing

generation01

generation01

generation01

generation01

generation08

generation08

generation08

generation08

generation16

generation16

generation16

generation16

rule | 23|3

rule | 33|3

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

stability | stable

stability | stable

generation24

n

generation01

generation08

generation16

generation24

rule | 23|2

rule | 33|2

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

stability | stable

stability | stable

generation24

generation01

generation08

generation16

generation24

rule | 32|2

rule | 22|3

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

stability | stable

stability | stable

generation24

generation24

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

generation01

generation08

generation16

generation24

rule | 32|3

rule | 22|2

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

end state | stable growing symmetry | symmetrical growth | expanding centre | centralized periodicity | 24+ generations geometry | snowflake

stability | stable

stability | stable

generation01

generation08

generation16

generation24


ca | generation | glider

rule life B3/ S23

The glider moves around without changing shape

17 most common objects in randemly generated bit arrays


ca | initial conditions | cross & repetition

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

regular cross | one glider per end of line changes | distances between adjacent glider number of cells | 20,20 initial properties | gliders keep moving in certain regular direction without interraction

initial0

initial0.1

diagonal cross | gliders standing in a line within a fixed distance changes | different angles of gliders movement & the amount of gliders at the intersection number of cells | 80, 70, 80, 70, 80

initial1

initial properties | at first gliders move in the set direction, then most die with only 2 pairs keep moving in a certain direction

initial1.1

initial1.2

initial0.1

initial0.2

repetition | mirror the previous pattern changes | increase the intial pattern horizontally and vertically and more cells are overcrowded number of cells | 10,20,40 initial properties | two gliders generate in symmetrical way and finally stay in static state initial0

initial1.3

initial1.4


ca | initial conditions | repetition & boxes repetition| increase the unit in same way changes | increase the pair of gliders horizontally & some are interrelated and some are not number of cells | 10, 40, 50, 20, 110 initial properties | glider die quickly initial1

initial1.1

initial1.2

initial1.3

initial1.4

initial0.1

initial0.2

initial0.3

initial0.4

initial0.5

initial0.6

initial0.7

boxes | one glider per corner changes | sizes and angles of gliders number of cells | 20, 20, 20, 20, 40, 20, 60, 80 initial properties | gliders move at the corner and die quickly

initial0


ca | initial conditions | lines & glider synthesis

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

single line| combine glides in straight line or diagonal way changes | amounts, angles and distances between every glider number of cells | 20. 20, 30, 40 initial properties | gliders vary in symmetric manner and keep stable in the end

initial0

initial0.1

initial0.2

initial1.1

initial1.2

initial0.1

initial0.2

initial0.3

parallel lines | two vertical lines changes | the position, angles and distances between each glider number of cells | 20, 20, 40 initial properties |gliders move in a regularly directional way

initial1

simple glider synthesis | the least number of gliders combination changes | positions, distances and angles of gliders number of cells | 10, 10, 10, 10, 15 initial properties | gliders move in a regularly directional way initial0

initial0.3

initial0.4


ca | generation | directional motion name | single line initial 0.3 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

generation0

generation12

generation15

generation23

name | parallel lines initial 1.2 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

generation0

generation11

generation34

generation64

name | simple line initial 0.2 rule | 23|3 end state | endless | repetition growth | expanding centre | no centralized | irregular stability | chaotic

generation0

generation19

generation27

generation35


ca | generation | symmetry

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name | boxes initial 0.2 rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | centralized

generation 0

generation 25

generation 77

generation 84

name | single line intial 0.1 rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | no centralized

generation 0

generation 61

generation 129

generation 286

name | boxes initial 0.6 rule | 23|3 end state | stable | symmetry | central | mirror growth | expanding centre | centralized

generation 0

generation 39

generation 77

generation 147


ca | generation | irregularity | directional motion name | diagonal cross initial 1.2 rule | 23|3 end state | stable growth | expanding centre | no centralized | irregular stability | chaotic

generation 0

generation 62

generation 148

generation 196

name | single line initial 0.3 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

generation 0

generation 12

generation 15

generation 23

name | complex glider synthesis initial 0.3 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

generation 0

generation 24

generation 96

generation 128


ca | generation | directional motion

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name | single line initial 0.3 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

generation0

generation12

generation15

generation23

name | parallel lines initial 1.2 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

generation0

generation11

generation34

generation64

name | boxes initial 0.7 rule | 23|3 end state | all die growth | translating | symmetry | central | mirror centre | centralized

generation0

generation10

generation21

generation37



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

03 |

2d stacking case study evaluation


ca | spatial layering | p23 diagonal rect name | diagonal rectangle

glider

rule | 23|3 end state | stable | symmetry | mirror growth | stable centre | centralized

initial0

stable

generation 128

growth

extinction

persp01_end condition

persp02_initial setup

persp03_emerging simples


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata initial setup

continuous glider continuous growth

blinker

stable end configuration


ca | spatial layering | subdivision of patterning name | branching rule | 23|3 end state | stable | symmetry | mirror growth | static centre | centralized

initial0 RES 32x32 RESZ 128

generation 128

subdivision of voxel

intial voxel

2x2

grid resolution

32x32

64x64

name | branching rule | 23|3 end state | stable | symmetry | mirror growth | static centre | centralized

initial0 RES 64x64 RESZ 128

generation 128


ca | spatial layering | decentral initial

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name | off-centre cross

linear expansion

rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

initial0 RES 64x64 RESZ 128

generation 128

growth

stable

persp01_initial setup

persp02_elevation

persp03_emerging simples


ca | spatial layering | volumes & frames name | cross diagonal rule | 23|3 end state | stable | symmetry | mirror growth | static centre | centralized

initial0 RES 64x64 RESZ 128

generation 128

name | rectangle scaled rule | 23|3 end state | stable | symmetry | mirror growth | static centre | centralized

initial0 RES 64x64 RESZ 128

generation 128


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

initial0

generation 128

initial0

generation 128


ca | spatial layering | curved brackets

initial0 pattern012

generation 128

initial0 pattern008

generation 128


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

initial0 pattern012

generation 128

initial0

generation 128


ca | spatial layering | diagonal patterning

initial0 pattern020

generation 128

initial0 pattern021

generation 128


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

initial0 pattern012

generation 128

initial0 pattern008

generation 128


ca | spatial layering | p24 diagonal arrow

initial0 pattern028

generation 128

initial0 pattern028

generation 128


ca | spatial layering | parallel lines

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

initial0 pattern012

generation 128

initial0 pattern010

generation 128


ca | spatial layering | simple glider array name | single line initial 0.3 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

initial0 RES 32x32 RESZ 128

generation 128

name | complex glider synthesis initial 0.3 rule | 23|3 end state | endless growth | translating centre | no centralized repetition movement

initial0 RES 32x32 RESZ 128

generation 128


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

name | boxes initial 0.2 rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | centralized

initial0 RES 64x64 RESZ 128

generation 256

name | single line intial 0.1 rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | no centralized

initial0 RES 64x64 RESZ 128

generation 128


ca | spatial layering | simple glider array

initial0

generation 128

initial0

generation 128


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

initial0

generation 128

initial0

generation 128



04 |

2d stacking case study evaluation


ca | spatial layering | volumetric treatment grid resolution 64x64

initial0 RES: 32x32x64

subdivision of voxel 1x1

generations 64


ca | spatial layering | parameter based evaluation total age of cells: 22192 sum of alive cells: 7564 sum of new cells: 2560 overall fittness: 11.54 [percentage occupied] mutation rate: 0.34 [total new cells/total alive cells] average age of cells: 2.93

dynamic fields

cell age newborn 1 gen 2 gen 3 gen 4 gen 5 gen

permanent stables

6 gen 7 gen 8 gen 9 gen 10+ gen

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata


ca | spatial layering | sections

initial0 RES: 32x32x64

section gen24

section gen48

section gen96


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

cross section


ca | spatial layering | volumetric treatment grid resolution 64x64

initial0 RES64x64x64

subdivision of voxel 2x2

generations 64


ca | spatial layering | parameter based evaluation total age of cells: 71360 sum of alive cells: 18216 sum of new cells: 8456 overall fitness: 6.94 [percentage occupied] mutation rate: 0.46 [total new cells/total alive cells] average age of cells: 3.91

dynamic fields

cell age newborn 1 gen 2 gen 3 gen 4 gen 5 gen

permanent stables

6 gen 7 gen 8 gen 9 gen 10+ gen

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata


ca | spatial layering | volumetric treatment grid resolution 32x32

initial0 RES32x32x128

continuous glider

subdivision of voxel 1x1

generations 128

section gen24

section gen48

continuous growth

section gen72

stable end configuration

section gen96

section gen112

blinker

number of alive cells

0 initial state

generation 128


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata cell history

dynamic fields

cell age newborn 1 gen 2 gen 3 gen 4 gen 5 gen

permanent stables

6 gen 7 gen 8 gen 9 gen 10+ gen

total age of cells: 178036 sum of alive cells: 10920 sum of new cells: 3324 overall fitness: 8.33 [percentage occupied] mutation rate: 0.30 [total new cells/total alive cells] average age of cells: 16.30



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



05 |

differentiation and optimisation


ca | research agenda | extraction in subsystems primary structure stable space-frame minimal network of cores

stable system

linear constellation

optimization extract existing qualities _overall organisation _global probability of clustering

high average age

dynamic system

volumetric constellation volumetric shell clustering around route

secondary structure low average age


ca | key operations | deployment to optimization

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

01_2d rules

02_stacking

03_routing

04_full 3d ruleset

deployment of initial pattern

searching for most stable route, extracting of central core as primary structure

searching for most stable route, extracting of central core as primary structure

optimization trough re-configuration and re-animation of secondary structure withfull 26 neighbors 3D ruleset

criteria

gen02

gen01 gen02 initial pattern

I_most direct route

6

6

2

4

II_age of neighboring cells

III_amount of neighbors

max n = 26


ranking | stacking evaluation

high population

volumetric monoblock

too boxy results

highly connected routes

low population

range of interest

too thinned-out results


ca | fitness of results | relation of primary to secondary structure

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

initial0 RES: 64x64x128

initial0 RES: 64x64x128

stacking rules

stacking rules

total [cells]

total [cells]

46344

route [cells] 6203 shell [cells] 55877 connectivity[%] 9.99

route [cells] 3073 shell [cells] 43271 connectivity[%] 6.63

initial0 RES: 64x64x128

initial0 RES: 64x64x128

initial0 RES: 64x64x128

stacking rules

stacking rules

stacking rules

total [cells]

36044

population | number of alive cells

route [cells] 1986 shell [cells] 34076 connectivity[%] 5.46

total [cells]

38276

route [cells] 2448 shell [cells] 35828 connectivity[%] 6.39

total [cells]

34400

route [cells] 2738 shell [cells] 31662 connectivity[%] 7.95

initial0 RES: 64x64x128

initial0 RES: 64x64x128

stacking rules

stacking rules

total [cells]

24368

route [cells] 2206 shell [cells] 22162 connectivity[%] 9.05

initial0 RES: 64x64x128

initial0 RES: 64x64x128

initial0 RES: 64x64x128

stacking rules

stacking rules

stacking rules

total [cells]

18964

route [cells] 1112 shell [cells] 17852 connectivity[%] 5.86

connectivity | ratio core to shell

total [cells]

12316

744 route [cells] shell [cells] 11572 connectivity[%] 6.04

62080

total [cells]

14124

route [cells] 1243 shell [cells] 12881 connectivity[%] 8.80

total [cells]

21588

route [cells] 2830 shell [cells] 18758 connectivity[%]13.10



7 gen

5 gen 4 gen 3 gen 2 gen 1 gen root

dynamic fields

8 gen

newborn 1 gen 2 gen 3 gen 4 gen 5 gen 6 gen

permanent stables

9 gen

secondary structure

branching routing

10+ gen

6 gen

stable routing

primary structure

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

7 gen 8 gen 9 gen 10+ gen



06 |

full 3d rule catalogue



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

3d ruleset legend:

stable state

rule 8 15 | 10 1

2

3

4

5

6

7

8

9

10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

> underpopulation

number of alive neighbors

< overpopulation

stable state neighbour count: 24

distinction newborn

adaptable ruleset trough local probability: rule 8 (-1,1) 15 (0,2) | 10 (-1,0) 1

2

3

4

5

6

local change of newborn 7

8

10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

adaptive range of survival

number of alive neighbors

adaptive range of survival

variable ruleset

observations location of survival range:

high probability of survival

medium probability of survival

low probability of survival

high probability of dynamic system

balanced system

high probability of stable system


ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 14 | 10

rule | 5 7 | 6

rule | 8 15 | 10

initial0 RES: 32x32x128

name | glider array stacking rule | 23|3 end state | stable | symmetry | mirror growth | translating centre | centralized

growth | min growth

growth | med growth

growth | med growth

end state | stable

end state | instable

end state | stable

distribution | clustered

distribution | even

distribution | centered


ca | full 3d rulesets | global rule variations

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 14 | 10

rule | 5 7 | 6

rule | 8 15 | 10

initial0 RES: 64x64x128

name | glider array stacking rule | 23|3 end state | stable | symmetry | mirror growth | translating centre | centralized

growth | med growth

growth | med growth

growth | min growth

end state | stable

end state | instable

end state | stable

distribution | clustered

distribution | even

distribution | clustered


ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 4 6 | 5

rule | 5 7 | 6

rule | 8 14 | 10

initial0 RES: 32x32x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | min growth

growth | med growth

growth | med growth

end state | blinking

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


ca | surface treatment | full 3d ruleset

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 15 | 10

rule | 8 22 | 15

rule | 14 17 | 15

initial0 RES: 32x32x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | min growth

growth | med growth

growth | med growth

end state | blinking

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 4 6 | 5

rule | 5 7 | 6

rule | 8 14 | 10

initial0 RES: 32x32x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | min growth

growth | med growth

growth | med growth

end state | blinking

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


ca | surface treatment | full 3d ruleset

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 15 | 10

rule | 8 22 | 15

rule | 14 17 | 15

initial0 RES: 32x32x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | min growth

growth | med growth

growth | med growth

end state | blinking

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 4 6 | 5

rule | 5 7 | 6

rule | 8 14 | 10

initial0 RES: 32x32x64

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | max growth

growth | med growth

growth | min growth

end state | instable

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 15 | 10

rule | 8 22 | 15

rule | 14 17 | 15

initial0 RES: 32x32x64

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | med growth

growth | med growth

growth | extint

end state | stable

end state | stable

end state | stable

distribution | clustered

distribution | clustered

distribution | even


ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 4 6 | 5

rule | 5 7 | 6

rule | 8 14 | 10

initial0 RES: 64x64x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | max growth

growth | med growth

growth | med growth

end state | instable

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 15 | 10

rule | 8 22 | 15

rule | 14 17 | 15

initial0 RES: 64x64x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | med growth

growth | med growth

growth | extint

end state | stable

end state | stable

end state | stable

distribution | even

distribution | clustered

distribution | even


ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 4 6 | 5

rule | 5 7 | 6

rule | 8 14 | 10

initial0 RES: 64x64x128

name | branching stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | centralized

growth | max growth

growth | med growth

growth | min growth

end state | instable

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 15 | 10

rule | 8 22 | 15

rule | 14 17 | 15

initial0 RES: 64x64x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | med growth

growth | med growth

growth | extint

end state | stable

end state | stable

end state | stable

distribution | clustered

distribution | even

distribution | even


ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 4 6 | 5

rule | 5 7 | 6

rule | 8 14 | 10

initial0 RES: 32x32x64

name | branching stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | centralized

growth | max growth

growth | med growth

growth | med growth

end state | instable

end state | instable

end state | stable

distribution | even

distribution | even

distribution | even


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ca | surface treatment | full 3d ruleset ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 15 | 10

rule | 8 22 | 15

rule | 14 17 | 15

initial0 RES: 32x32x64

name | branching stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | centralized

growth | max growth

growth | med growth

growth | extint

end state | stable

end state | stable

end state | stable

distribution | even

distribution | clustered

distribution | even


ca | full 3d rulesets | global rule variations ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 7 16 | 15

rule | 5 7 | 6

rule | 8 15 | 10

initial0 RES: 64x64x128

name | diagonal rectangle stacking rule | 23|3 end state | stable | symmetry | mirror growth | stable centre | centralized

growth | max growth

growth | med growth

growth | med growth

end state | stable

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


ca | surface treatment | full 3d ruleset

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 10 | 10

rule | 5 7 | 6

rule | 8 15 | 10

initial0 RES: 32x32x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | min growth

growth | med growth

growth | med growth

end state | blinking

end state | instable

end state | stable

distribution | even

distribution | even

distribution | clustered


ca | full 3d rulesets | global rule variations ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 22 | 15

rule | 5 7 | 6

rule | 8 15 | 10

initial0 RES: 64x64x128

name | off-centre cross stacking rule | 23|3 end state | stable | symmetry | mirror growth | expanding centre | decentralized

growth | min growth

growth | med growth

growth | med growth

end state | stable

end state | instable

end state | stable

distribution | clustered

distribution | even

distribution | clustered


ca | full 3d rulesets | local probability

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 8 15 10 | -2 -1

rule | 8 15 10 | -1 0

rule | 8 15 10 | -2 1

initial0 RES: 32x32x60

name | diagonal rectangle stacking rule | 23|3 end state | stable | symmetry | mirror growth | stable centre | centralized

growth | max growth

growth | med growth

growth | max growth

end state | stable

end state | stable

end state | stable

distribution | even

distribution | even

distribution | even


ca | full 3d rulesets | octahedron grid


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

cube 3d neighbours total number | 26 6 [face] + 12 [edge] + 8 [vertex] current layer | 8 4 [face] + 4 [vertex] previous || next layer | 9 1 [face] + 4 [edge] + 4 [vertex] previous && next layer | 18 2 [face] + 8 [edge] + 8 [vertex]

octahedron 3d neighbours total number | 14 6 [face] + 12 [quad] + 8 [hex] current layer | 6 2 [quad face] + 4 [hex face] previous || next layer | 4 2 [quad face] + 2 [edge face] previous && next layer | 8 4 [quad face] + 4 [edge face]

faces | 6 edges | 12

cube topology

vertex | 8

faces | 14

edges | 36

vertex | 24

octahedron topology

current layer | 6 neighbours 2 [quad face] + 4 [hex face]

previous || next layer | 4 2 [quad face] + 2 [edge face]

current layer | 8 neighbours 4 [face] + 4 [vertex]

previous || next layer | 9 1 [face] + 4 [edge] + 4 [vertex]


ca | full 3d rulesets | octahedron grid ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 5 7 | 7

rule | 5 9 | 7

rule | 7 7 | 7

initial0 RES: 32x32x60

name | single hexagon stacking rule | 15|1 growth | stable centre | centralized

growth | min growth

growth | med growth

growth | min growth

end state | instable

end state | stable

end state | stable

distribution | even

distribution | even

distribution | even


ca | full 3d rulesets | octahedron grid

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

rule | 5 7 | 7

rule | 5 9 | 7

rule | 7 7 | 7

initial0 RES: 32x32x60

name | hexagon stacking rule | 15|1 end state | stable | symmetry | growth | stable

growth | min growth

growth | med growth

growth | min growth

end state | stable

end state | stable

end state | stable

distribution | even

distribution | even

distribution | even


ranking | full 3d ruleset evaluation

additive development

dynamic configuration

static configuration

substractive development


additive development

aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

64x64x128 3d s6 9/4 total [cells] average age

8540 0.03

route [cells] 625 shell [cells] 7915 connectivity[%] 7.31 new [g191] static [g127] mutation rate

1206 1205 1.00

64x64x128 3d s8 15/10 total [cells] average age

33827 41

26526 46

total [cells] average age

26740 54

route [cells] 1968 shell [cells] 24558 connectivity[%] 7.41

route [cells] 2448 shell [cells] 24292 connectivity[%] 9.15

new [g191] 33943 static [g127] 34400 mutation rate 0.98

new [g191] 26544 static [g127] 36044 mutation rate 0.73

new [g191] 26251 static [g127] 38276 mutation rate 0.68

64x64x128 3d s8 14/10

64x64x128 3d s8 15/10

11523 2

total [cells] average age

7351 46

total [cells] average age

18379 52

route [cells] 1884 shell [cells] 5467 connectivity[%] 25.62

route [cells] 1884 shell [cells] 16495 connectivity[%] 10.25

new [g191] 11447 static [g127] 24368 mutation rate 0.46

new [g191] 7494 static [g127] 21588 mutation rate 0.34

new [g191] 13194 static [g127] 21588 mutation rate 0.61

stable

route [cells] 2206 shell [cells] 9317 connectivity[%] 19.14

64x64x128 3d s5 7/6 total [cells] average age

substractive development

rate of change | ratio cells alive gen191 to stacking

total [cells] average age

64x64x128 3d s8 15/10

route [cells] 2738 shell [cells] 31089 connectivity[%] 8.09

64x64x128 3d s5 7/6 total [cells] average age

64x64x128 3d s8 15/10

13801 2

64x64x128 3d s8 14/10 total [cells] average age

6677 40

64x64x128 3d s8 14/10 total [cells] average age

3454 42

route [cells] 2448 shell [cells] 11353 connectivity[%] 17.73

route [cells] 2206 shell [cells] 4471 connectivity[%] 33.03

route [cells] 744 shell [cells] 2710 connectivity[%] 21.54

new [g191] 13922 static [g127] 38276 mutation rate 0.36

new [g191] 6835 static [g127] 24368 mutation rate 0.28

new [g191] 3450 static [g127] 12316 mutation rate 0.28

64x64x128 3d s5 7/6

64x64x128 3d s8 14/10

total [cells] average age

4331 2

total [cells] average age

route [cells] 1968 shell [cells] 6995 connectivity[%] 21.95

new [g191] 4309 static [g127] 12316 mutation rate 0.34

new [g191] 9063 static [g127] 36044 mutation rate 0.25

average age | at gen 191

total [cells] average age

14006 58

route [cells] 1884 shell [cells] 12122 connectivity[%] 13.45 new [g191] 11669 static [g127] 21588 mutation rate 0.54

8963 41

route [cells] 744 shell [cells] 3587 connectivity[%] 17.17

dynamic configuration

64x64x128 3d s8 22/15

static configuration



07 |

case study evaluation


ca | case study 01 | behavioural characteristics initial setup

continuous glider continuous growth

blinker

stable end configuration


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

initial0

continuous growth

continuous glider

stable end configuration


case study | 01 ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

stacking rule | 23|3 rule | 4 6 | 5 growth | med growth initial0 RES: 64x64x128

end state | slow expanding

observation based evaluation - finds static state quick - high variety of different geometric and spatial qualities - different densities / clustering logic emerging

parameter based evaluation - increase of alive cells from 2d stacking after 3d ruleset: highly populating rules (4 6 | 5) - high average age and low ratio of new to old: static system - low percentage of routing but high total alive cells: high variation in density and geometry along system


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata


ca | case study 01 | parameter based evaluation gen128_ stacking results


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

gen191_ 3d reconfiguration results


case study | 02 ruleset: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

stacking rule | 23|3 rule | 7 16 | 15 growth | max growth initial0 RES: 64x64x128

end state | stable

observation based evaluation - inwards growing shell from external sitting routes - refers on “hanging” structure within structural frame - balance between stable cluster distribution and “active” neighborhoods with local changes on the surface

parameter based evaluation - stable amount of alive cells from 2d stacking after 3d ruleset but medium ratio of new to old cells: evenly populating rules (7 16 | 15) but not static but re-distributing and re-configuring - high average age and low ratio of old and new: static system - medium percentage of routing and high total alive cells: highest variation in density and geometry along system


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata


ca | case study 02 | parameter based evaluation gen128_ stacking results


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

gen191_ 3d reconfiguration results


case study | 03 ruleset: 1 2 3 4 5 6 7 8 9 10 1112 13 14

stacking rule | 2 3 | 1 3d rule | 6 9 | 4 growth | min growth end state | instable initial0 RES: 64x64x64

observation based evaluation - highly connected network of interconnected branches - fractalization from geometric order in top to rhizome in bottom - active, flickering, moving “shell�, shattered in multiple minimal parts

parameter based evaluation - strong decrease of alive cells from 2d stacking after 3d ruleset trough high percentage of routing: non growing ruleset (6 9 | 4) - minimum average age and high ratio of new to old: highly dynamic system, no clustering, all cells that are not routes are blinking or constantly moving - high percentage of routing:: very highly connected network of routes


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata


ca | case study 03 | parameter based evaluation gen128_ stacking results


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

gen191_ 3d reconfiguration results


ca | case study evaluation | superposition

case study 01

generations

- finds static state quick - high variety of different geometric and spatial qualities - different densities / clustering logic emerging

case study 02

case study 01

case study 02

case study 03

- inwards growing shell from external sitting routes - refers on “hanging” structure within structural frame - balance between stable cluster distribution and “active” neighborhoods with local changes on the surface

case study 03 RES:

64x64x128

64x64x128

64x64x64

23|3

23|3

23|1

3d rule

4 6 | 5 (0 | 1,2 | 1,2)

7 16 | 15

69|4

average age

53

41

1

total [cells]

23184

26544

8540

route [cells]

2830

1968

625

shell [cells]

20354

24576

7915

connectivity[%]

8.19

8.00

7.31

new [g191]

23184

24576

1206

static [g127]

21588

36044

1205

mutation rate

1.07

0.68

1.00

- highly connected network of interconnected branches - fractalization from geometric order in top to rhizome in bottom - active, flickering, moving “shell”, shattered in multiple minimal parts


aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata

alive [sum]

new cells

gen 128

gen 191

stacking evaluation

case study 01 alive cells

- increase of alive cells from 2d stacking after 3d ruleset: highly populating rules (4 6 | 5) - high average age and low ratio of new to old: static system - low percentage of routing but high total alive cells: high variation in density and geometry along system

total age

case study 02 - stable amount of alive cells from 2d stacking after 3d ruleset but medium ratio of new to old cells: evenly populating rules (7 16 | 15) but not static but re-distributing and re-configuring

per stacking generation: gen 0

gen 128

- high average age and low ratio of old and new: static system - medium percentage of routing and high total alive cells: highest variation in density and geometry along system

case study 03 - strong decrease of alive cells from 2d stacking after 3d ruleset trough high percentage of routing: non growing ruleset (6 9 | 4)

3d rule evaluation

- minimum average age and high ratio of new to old: highly dynamic system, no clustering, all cells that are not routes are blinking or constantly moving

route [%]

aver_age

new to old

- high percentage of routing:: very highly connected network of routes



08 |

visualisations



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



09 |

prototypes



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata



aadrl | 2013 | mostafa el sayed workshop2 | cellular autamata





Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.