Neighbourhood Topologies

Page 1



00 BASIC CONCEPT || GAME OF LIFE 01 INITIAL RESEARCH 01.1 SETUP 01.2 RULES -MULTIPLE APPLICATION -MAIN RULES 02 CONTROLLING STRATEGIES 02.1 INNER SYSTEM|| GLIDERS 02.2 OUTER SYSTEM|| ATTRACTORS -CHANGING STATES 03 COMBINED SYSTEMS 03.1 MOVEMENT ACCORDING TO THE CENTER OF GRAVITY|| SIMPLE CUBE 03.2 MOVEMENT ACCORDING TO THE CENTER OF GRAVITY|| GLIDERS 04 GRADIENT OF RULES


SETUP INITIAL RESEARCH

INNER SYSTEMS

GLIDERS

CONTROLLING STRATEGIES RULES

AS GROWTH STRATEGY OUTER SYSTEMS

ATTRACTORS CHANGING STATES


APPLIED ON GLIDER INNER SYSTEM

MOVEMENT ACCORDING TO CENTER OF GRAVITY

COMBINED SYSTEMS APPLIED ON THE SIMPLE CUBE IN RELATION TO THE INNER SYSTEMS

TROUGHT PREDEFINED PATH (APPLIED ON CUBE)

MOVEMENT ACCORDING TO CENTER OF GRAVITY

GRADIENT OF RULES



00 BASIC _CONCEPT || GAME_OF_LIFE CA IS A MODEL BASED IN A REGULAR GRID THAT CONTAINS A SEVERAL NUMBER OF CELLS WITH AN INITIAL ALIVE OR DEAD CONDITION. EACH OF THE VOXELS (CELLS) LOOKS ITS SURROUNDING CELLS AND MAKES DECISIONS BASED ON THE STATE OF THE NEIGHBOURING CELLS. BASIC SET OF RULES: 1) LONELINESS (IF A VOXEL IS ALIVE AND HAS LESS THAN X NUMBER OF NEIGHBOURS ALIVE IT DIES). 2) OVERCROWDED (IF A VOXEL IS ALIVE AND HAS MORE THAN X NUMBER OF NEIGHBOURS ALIVE IT DIES. 3) BIRTH (IF A VOXEL IS DEAD AND HAS X NUMBER OF NEIGHBOURS ALIVE IT IS REBORN). IN THE BOOK NEW KIND OF SCIENCE, STEPHEN WOLFRAM USE CA MODEL TO ESTABLISH THAT DESPITE THE SIMPLICITY OF THEIR RULES, THE BEHAVIOR OF THE PROGRAM WAS OFTEN FAR FROM SIMPLE ANS CAN ACHIEVE REALLY COMPLEX RESULTS.


STATES

0_DEAD

1_ALIVE


00 BASIC _CONSEPT || GAME_OF_LIFE

state==0;

BIRTH

SURVIVAL

NAME

rule _ S 23|

neighb_number==3;

birth_rule

death_


SETUP INNER SYSTEMS INITIAL RESEARCH

GLIDERS

CONTROLLING STRATEGIES

AS GROWTH STRATEGY OUTER SYSTEMS

IN RELATION TO THE INNER SYSTEMS

ATTRACTORS

RULES CHANGING STATES TROUGHT PREDEFINED PATH (APPLIED ON CUBE)


APPLIED ON GLIDER INNER SYSTEM

MOVEMENT ACCORDING TO CENTER OF GRAVITY

COMBINED SYSTEMS

01.1 INITIAL_RESEARCH || SETUP THE PROGRESSION OF THE RESEARCH STARTS WITH VERY SIMPLE 2D RANDOM SETUP AND BASIC RULES IN ORDER TO UNDERSTAND AND DISCOVER REPETITIVE PATTERNS AND CONTROLLED

APPLIED ON THE SIMPLE CUBE

CONDITIONS THAT CAN BE FURTHER USED IN THE FUTURE PROTOTYPES.

MOVEMENT ACCORDING TO CENTER OF GRAVITY

GRADIENT OF RULES


Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Setup 0 Rule: B_1; S_0,7,8

Setup 1 Rule: B_1; S_0,7,8

Setup 2 Rule: B_1; S_0,7,8

Setup 3 Rule: B_1; S_0,7,8

Setup 4 Rule: B_1; S_0,7,8


01.1 INITIAL_RESEARCH || SETUP

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Setup 5 Rule: B_1; S_0,7,8

Setup 6 Rule: B_1; S_0,7,8

Setup 7 Rule: B_1; S_0,7,8

Setup 8 Rule: B_1; S_0,7,8

Setup 9 Rule: B_1; S_0,7,8


Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Setup 0 Rule: B_2; S_0, 8

Setup 1 Rule: B_2; S_0, 8

Setup 2 Rule: B_2; S_0, 8

Setup 3 Rule: B_2; S_0, 8

Setup 4 Rule: B_2; S_0, 8


01 .1 INITIAL_RESEARCH || SETUP

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Perspective view Layer hight: 100

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Generation 25 50x50 grid

Setup 5 Rule: B_2; S_0, 8

Setup 6 Rule: B_2; S_0, 8

Setup 7 Rule: B_2; S_0, 8

Setup 8 Rule: B_2; S_0, 8

Setup 9 Rule: B_2; S_0, 8


R_1: R_1: S 08| B 2

S 24578| B3 R_2: S 2| B2 R_3: S 2|


01.1 INITIAL_RESEARCH || RULES || MULTIPLE APPLICATIONS R_1 R_0 R_1 R_0 R_1 R_0 R_1

Generation 10

Generation 20

Generation 30

Generation 50

Generation 70

Generation 90

Generation 10

Generation 20

Generation 30

Generation 50

Generation 70

Generation 90

R_0 50 x 50 grid Layer hight: 100 Rule_0: B_2; S_2 Rule_1: B_1; n number = 1

R_1 R_0 R_1 R_0 R_1 R_0 R_1 R_0 50 x 50 grid Layer hight: 100 Rule_0: B_2; S_2 Rule_1: B_1; n number = 1


SETUP

INNER SYSTEMS INITIAL RESEARCH

GLIDERS

CONTROLLING STRATEGIES

AS GROWTH STRATEGY OUTER SYSTEMS

IN RELATION TO THE INNER SYSTEMS

ATTRACTORS

RULES CHANGING STATES TROUGHT PREDEFINED PATH (APPLIED ON CUBE)


APPLIED ON GLIDER INNER SYSTEM

MOVEMENT ACCORDING TO CENTER OF GRAVITY

01.2 INITIAL_RESEARCH || RULES

COMBINED SYSTEMS

DIFFERENT RULES AND START-UP CONDITIONS WERE USED TO ACHIEVE COMPLETELY OPPOSITE RESULTS, SOME OF THEM WERE MORE SUCCESSFUL IN TERMS OF CONDUCTING A CONTROL GROWTH.

APPLIED ON THE SIMPLE CUBE MOVEMENT ACCORDING TO CENTER OF GRAVITY

GRADIENT OF RULES


1

2

3

4


01.2 INITIAL _RESEARCH || RULES || MAIN _RULES

REPLICANTOR_ S1357 | B1357

1

2

3

4


SERVIETTES_ S1678 | B234

1

2

3

4


01.2 INITIAL _RESEARCH || RULES || MAIN _RULES

CONWAY RULE_ S23 | B3

1

2

3

4



02 CONTROLLING_ STRATEGIES TWO MAIN STRATEGIES TO CONTROL HE BEHAVIOUR OF HE STRUCTURE WERE DEVELOPED: - INNER SYSTEM CONTROL, BASED ON LOCALLY ESTABLISHED DECISIONS OF VOXELS (CA) - OUTER SYSTEM CONTROL, BASED ON DECISIONS MADE BY TOP-DOWN APPROACH AN INNER SYSTEM GIVES THE OPPORTUNITY TO DEVELOP A COMPLEX AND HIGHLY CONTROLLED STRUCTURE BASED ON CONVAL RULE (GLIDERS STRUCTURES). THE OUTER SYSTEM AFFECTS THE INNER ONE BY ADDING MORE COMPLEXITY AND MAKING THE INNER STRUCTURE RESPONSIVE TO THE EXTERNAL ENVIRONMENTAL INFLUENCES (ATTRACTORS).


SETUP INNER SYSTEMS INITIAL RESEARCH

GLIDERS

CONTROLLING STRATEGIES

AS GROWTH STRATEGY OUTER SYSTEMS

IN RELATION TO THE INNER SYSTEMS

ATTRACTORS

RULES CHANGING STATES TROUGHT PREDEFINED PATH (APPLIED ON CUBE)


APPLIED ON GLIDER INNER SYSTEM

MOVEMENT ACCORDING TO CENTER OF GRAVITY

COMBINED SYSTEMS

02.1 CONTROLLING_ STRATEGIES || INNER SYSTEM || GLIDERS

AN INNER SYSTEM GIVES THE OPPORTUNITY TO DEVELOP A COMPLEX AND HIGHLY CONTROLLED STRUCTURE BASED ON CONVAL RULE (GLIDERS STRUCTURES).

APPLIED ON THE SIMPLE CUBE MOVEMENT ACCORDING TO CENTER OF GRAVITY

GRADIENT OF RULES


START CONDITIONS

CA. BEHAVIOUR

VECTOR

DISPLACEMENT


CONWAY RULE_ S23 | B3 Layer number : 200 neighb==2

02.1 CONTROLLING_ STRATEGIES ||INNER SYSTEM || GLIDERS


Youngest Oldest

n_ neighb ==2


02.1 CONTROLLING_ STRATEGIES ||INNER SYSTEM || GLIDERS


SETUP

INNER SYSTEMS INITIAL RESEARCH

GLIDERS

CONTROLLING STRATEGIES

AS GROWTH STRATEGY OUTER SYSTEMS

IN RELATION TO THE INNER SYSTEMS

ATTRACTORS

RULES CHANGING STATES TROUGHT PREDEFINED PATH (APPLIED ON CUBE)


02.2 CONTROLLING_ STRATEGIES || OUTER SYSTEM || ATTRACTORS APPLIED ON GLIDER INNER SYSTEM

MOVEMENT ACCORDING TO CENTER OF GRAVITY

COMBINED SYSTEMS

ATTRACTORS WERE USED IN TWO DIFFERENT APPROACHES TO DIFFER AND CONTROL THE GROWTH OF AN INNER SYSTEM. FIRSTLY, AS A BUILDING STRATEGY WHERE EVERYTHING OUTSIDE THE ATTRACTING AREA IS DEAD, AND EVERYTHING INSIDE THE AREA CONTINUES TO GROW.

APPLIED ON THE SIMPLE CUBE MOVEMENT ACCORDING TO CENTER OF GRAVITY

GRADIENT OF RULES

THIS SYSTEM WAS CONSTRAINED BECAUSE IT PREDEFINES THE OVERALL GEOMETRY IN A WAY THAT THE STRUCTURE LOSES ITS CA CHARACTERISTICS. SECONDLY, ATTRACTORS WERE USED IN A MORE SUBTLE WAY, AS A DIFFERING AGENTS WHICH CHANGE RULES OF THE INITIAL FORM. IN THIS CASE, THE INITIAL GEOMETRY IS A CUBE WHERE THE STATE OF ALL VOXELS IS ALIVE. THE ATTRACTOR USE A PREDIFINED VECTOR PATHS TO MOVE ALONG GEOMETRY OF A SOLID CUBE.


Grid : 50 x 50 Layers : 100

rule_S 23| 1 Dis: 400, 400 dis1<100||dis2<100

n_ neighb > 2

rule_ S 12| 2 Dis: 400, 400 dis1<100||dis2<100


02.2 CONTROLLING_ STRATEGIES || OUTER SYSTEM || ATTRACTORS

rule_ S 23 | 2 Dis: 400, 400 dis1<100||dis2<100|| dis3<100 || dis4<100

rule_ S 23 | 2 Dis: 400, 400 dis1<150||dis2<50|| dis3<150 || dis4<50

rule_ S 23 | 2 Dis: 400, 400 dis1<150||dis2<50|| dis3<150 || dis4<50


rule_S 12342| B 1234

Dis: 400, 400 dis1<50||dis2<50|| dis3<30 || dis4<30 Att1= new att(200,10,90); Att2= new att(200,10,0); Att3= new att(200,1,30); Att4= new att(200,1,270); x=r*cos((TWO_PI/180)*(i+startAng))+width/2; y=(r/2)*sin((TWO_PI/100)*(i+startAng))+height/2; ellipse(x, y, 50, 10);

rule_S 12342| B 1234

Dis: 400, 400 dis1<50||dis2<50|| dis3<70 || dis4<70

rule_S 12342| B 1234

Dis: 400, 400 dis1<50||dis2<50|| dis3<70 || dis4<70

Att1= new att(200,10,90); Att2= new att(200,5,0); Att3= new att(200,10,30); Att4= new att(200,1,270);

Att1= new att(200,10,90); Att2= new att(200,10,0); Att3= new att(200,11,30); Att4= new att(200,1,270);

x=r*cos((TWO_PI/180)*(i+startAng))+width/2; y=(r/2)*sin((TWO_PI/100)*(i+startAng))+height/2;

x=r*cos((TWO_PI/180)*(i+startAng))+width/2; y=(r/2)*sin((TWO_PI/100)*(i+startAng))+height/2;

ellipse(x, y, 50, 10);

ellipse(x, y, 50, 10);

rule_S 12342| B 1234 Dis: 400, 400 dis1<50||dis2<50|| dis3<70 || dis4<70 Att1= new att(200,59,90); Att2= new att(200,70,0); Att3= new att(200,11,30); Att4= new att(200,1,270); x=r*cos((TWO_PI/180)*(i+startAng))+width/2; y=(r/2)*sin((TWO_PI/100)*(i+startAng))+height/2; ellipse(x, y, 50, 10);

rule_S 12342| B 1234

Dis: 400, 400 dis1<50||dis2<50|| dis3<70 || dis4<70 Att1= new att(200,10,90); Att2= new att(200,5,0); Att3= new att(200,10,30); Att4= new att(200,1,270); x=r*cos((TWO_PI/180)*(i+startAng))+width/2; y=(r/2)*sin((TWO_PI/100)*(i+startAng))+height/2; ellipse(x, y, 50, 10);


02.2 CONTROLLING_ STRATEGIES || OUTER SYSTEM || ATTRACTORS Grid : 50 x 50 Layers : 100

rule_S 12342| B 1234

Dis: 400, 400 dis1<50||dis2<50|| dis3<30 || dis4<30 Att1= new att(200,10,90); Att2= new att(200,10,0); Att3= new att(200,1,30); Att4= new att(200,1,270); x=r*cos((TWO_PI/180)*(i+startAng))+width/2; y=(r/2)*sin((TWO_PI/100)*(i+startAng))+height/2; ellipse(x, y, 50, 10);


SETUP

INNER SYSTEMS INITIAL RESEARCH

GLIDERS

CONTROLLING STRATEGIES

AS GROWTH STRATEGY OUTER SYSTEMS

IN RELATION TO THE INNER SYSTEMS

ATTRACTORS

RULES CHANGING STATES TROUGHT PREDEFINED PATH (APPLIED ON CUBE)


APPLIED ON GLIDER INNER SYSTEM

MOVEMENT ACCORDING TO CENTER OF GRAVITY

COMBINED SYSTEMS

02.2.1 CONTROLLING SYSTEMS || OUTER SYSTEM || CHANGING STATES || ATTRACTOR POINT PATHS

APPLIED ON THE SIMPLE CUBE MOVEMENT ACCORDING TO CENTER OF GRAVITY

GRADIENT OF RULES


Attractor vector pathways

Solid cube - all voxels alive


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

PATHS AFFECTING SURFACE AREA:

Vector path 1.1.

Vector path 1.2.

PATHS AFFECTING INSIDE AREA:

Vector path 2.1.

Vector path 2.2.

Vector path 2.3.

Vector path 2.4.


PATHS AFFECTING SURFACE AREA - VECTOR PATH 1.1.

Solid object Attractor path CA rules

_State: all voxels alive (solid cube)

_ Attractor path added

_ Cube affected with attractor - CA area

REPLICANTOR_ S1357 | B1357

SERVIETTES_ S1678 | B234

CONWAY RULE_ S23 | B3


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

REPLICANTOR_ S1357 | B1357 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


SERVIETTES_ S1678 | B234 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

CONWAY RULE_ S23 | B3 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


PATHS AFFECTING SURFACE AREA - VECTOR PATH 1.2.

Solid object Attractor path CA rules _State: all voxels alive (solid cube)

_ Attractor path added

_ Cube affected with attractor - CA area

REPLICANTOR_ S1357 | B1357

SERVIETTES_ S1678 | B234

CONWAY RULE_ S23 | B3


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

REPLICANTOR_ S1357 | B1357 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


SERVIETTES_ S1678 | B234 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS CONWAY RULE_ S23 | B3 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


PATHS AFFECTING SURFACE AREA - VECTOR PATH 2.1.

Solid object Attractor path CA rules _State: all voxels alive (solid cube)

_ Attractor path added

_ Cube affected with attractor - CA area

REPLICANTOR_ S1357 | B1357

SERVIETTES_ S1678 | B234

CONWAY RULE_ S23 | B3


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

REPLICANTOR_ S1357 | B1357 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


SERVIETTES_ S1678 | B234 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS CONWAY RULE_ S23 | B3 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


PATHS AFFECTING SURFACE AREA - VECTOR PATH 2.2.

Solid object Attractor path CA rules _State: all voxels alive (solid cube)

_ Attractor path added

_ Cube affected with attractor - CA area

REPLICANTOR_ S1357 | B1357

SERVIETTES_ S1678 | B234

CONWAY RULE_ S23 | B3


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

REPLICANTOR_ S1357 | B1357 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


SERVIETTES_ S1678 | B234 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS CONWAY RULE_ S23 | B3 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


REPLICANTOR_ S1357 | B1357 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

SERVIETTES_ S1678 | B234 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


PATHS AFFECTING SURFACE AREA - VECTOR PATH 2.4.

Solid object Attractor path CA rules _State: all voxels alive (solid cube)

_ Attractor path added

_ Cube affected with attractor - CA area

REPLICANTOR_ S1357 | B1357

SERVIETTES_ S1678 | B234

CONWAY RULE_ S23 | B3


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS REPLICANTOR_ S1357 | B1357 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


SERVIETTES_ S1678 | B234 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low


02.2.1 CONTROLLING SYSTEMS|| OUTER SYSTEM|| CHANGING STATES|| ATTRACTOR POINT PATHS

CONWAY RULE_ S23 | B3 Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low



03 COMBINED SYSTEM

IN ORDER TO MAKE THE COMBINATION OF INNER AND OUTER SYSTEM EVEN MORE RESPONSIVE TO EACH OTHER (WHILE THE INNER ONE EXPRESSED THE LOCAL CA CHARACTERISTICS, THE OUTER IS MORE FLEXIBLE AND DEFINED BY INTERNAL FLOWS RATHER THAN PREDEFINED CURVES), TWO STRATEGIES FOR THE IMPLEMENTATION OF THE ATTRACTORS WERE DEVELOPED: 1) SYSTEM WHICH CHANGES THE RULES OF ALIVE VOXELS ACCORDING TO THE MOVEMENT OF TWO ATTRACTORS CIRCLING AROUND THE CENTRE OF GRAVITY OF ALIVE VOXELS ( BOTH APPLIED TO THE CUBE GEOMETRY AND THE CONVAL RULE STRUCTURE). 2) SYSTEM WHICH GRADUALLY CHANGES THE RULES OF ALIVE VOXELS (GRADIENT OF RULES) ACCORDING TO THE MOVEMENT OF TWO ATTRACTORS CIRCLING AROUND THE CENTRE OF GRAVITY OF ALIVE VOXELS ( APPLIED TO THE CUBE GEOMETRY).


APPLIED ON GLIDER INNER SYSTEM

SETUP INNER SYSTEMS INITIAL RESEARCH

CONTROLLING STRATEGIES OUTER SYSTEMS RULES

GLIDERS

COMBINED SYSTEMS

AS GROWTH STRATEGY ATTRACTORS

MOVEMENT ACCORDING TO CENTER OF GRAVITY

IN RELATION TO THE INNER SYSTEMS

APPLIED ON THE SIMPLE CUBE MOVEMENT ACCORDING TO CENTER OF GRAVITY

CHANGING STATES TROUGHT PREDEFINED PATH (APPLIED ON CUBE)

GRADIENT OF RULES


03.1 COMBINED SYSTEM || SIMPLE CUBE

Attraction point in relation to the center of alive area

Area influenced by attractor Alive voxels area Center point of alive area Center point of attractor Center point of previous alive area

Two attracting points in relation to the new center of alive area


Center of attracting point

Center of attracting point

Center of gravity

Top view Front view


CONWAY RULE_ S23 | B3

03.1 COMBINED SYSTEM || SIMPLE CUBE

Layer number : 200

Front view

Perspective view

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Density: high

Age: old Density: high

Age : young Density: low

Age: old Density: low



03.2 COMBINED SYSTEM || GLIDERS


APPLIED ON GLIDER INNER SYSTEM

SETUP INNER SYSTEMS INITIAL RESEARCH

CONTROLLING STRATEGIES OUTER SYSTEMS RULES

GLIDERS

COMBINED SYSTEMS

AS GROWTH STRATEGY ATTRACTORS

MOVEMENT ACCORDING TO CENTER OF GRAVITY

IN RELATION TO THE INNER SYSTEMS

APPLIED ON THE SIMPLE CUBE MOVEMENT ACCORDING TO CENTER OF GRAVITY

CHANGING STATES TROUGHT PREDEFINED PATH (APPLIED ON CUBE)

GRADIENT OF RULES


04 GRADIENT OF RULES GRADIENT ATTRACTORS WERE USED TO COMBINE TWO RULES, THE REPLICATOR RULE AND THE CONWAY RULE. BOTH IN ORDER TO AFFECT THE INITIAL FORM MADE OF ALL ALIVED VOXELS (CUBE GEOMETRY). USING GRADIENT STRATEGY FOR COMBINING THE INNER AND THE OUTER ONE GIVES BETTER RESULT IN TERMS OF MAKING TWO SYSTEMS WORKING TOGETHER WHILE PRESERVING CHARACTERISTICS OF EACH ONE. GRADIENT ATTRACTORS ARE MOVING TROUGH GEOMETRY IN RELATION TO THE INNER CENTRE POINT OF ALIVE CELLS WHICH ALLOWS TWO SYSTEMS COMMUNICATE WITHIN EACH OTHER.


Two attracting gradiet areas in relation to the center of alive area

Conway rule: S 23| B 2 Replicator_rule: S Center point of alive area Center point of attractor Front view

Perspective view


+

04 GRADIENT OF RULES

CONWAY RULE_ S23 | B3

REPLICANTOR_ S1357 | B1357 Layer number : 200

Top view - generation 10

Top view - generation 20

Top view - generation 30

Top view - generation 40

Age : young Front view

Perspective view

Age: old



WORKSHOP CONTEXT THE FOLLOWING SET OF WORK WAS DEVELOPED DURING THE SECOND WORKSHOP THAT CONCLUDES PHASE 1 IN THE 16 MONTH POST-PROFESSIONAL DESIGN PROGRAMME OF ARCHITECTURE AND URBANISM MARCH (DRL) IN THE ARCHITECTURAL ASSOCIATION SCHOOL OF ARCHITECTURE LONDON, ENGLAND. THE COURSE WAS LED BY MUSTAFA EL SAYED AND ILYA PEREYASLAVTSEV. ALL THE WORK PRESENTED HERE WAS THE RESULT OF A HIGHLY COMMITTED RESEARCH PERFORMED BY KRISTINA ZUBKO (UKRAINE), NASTAS JAMITROVIC (SERBIA), NICOLAS TORNERO (CHILE) AND QI CAO (CHINA). WHILE THE AIM OF THE FIRST WORKSHOP WAS TO UNDERSTAND THE MATERIAL BEHAVIOUR AND ITS INNER PROPERTIES UNDER PRE-ESTABLISH CONDITIONS. THE SECOND WORKSHOP PRESENTS A SHIFT FROM MATERIAL AND PHYSICAL EXPERIMENTS INTO THE COMPUTATIONAL AND DIGITAL SPACE. AS A FIRST APPROACH INTO THE DIGITAL DESIGNING TOOLS THE FIRST TERM OF THE WORKSHOP WAS COMPLETELY DEDICATED TO LEARN TO CODE AND UNDERSTAND THE BASE PRINCIPLES BEHIND IT..


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