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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
I_most direct route 4
gen01 gen02 initial pattern
2 6
6
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 â&#x20AC;&#x153;shellâ&#x20AC;?, 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