Simple Fractal in Structure Synth

Structure Synth script for some simple fractal . Images are rendered in SunFlow .

Pythagoras Tree // Pythagoras Tree #define displace 0.5 set maxdepth 12 set background white R1 rule R1 maxdepth 11 { { y 1 x displace rz -45 s 0.707 h 40 } R1 { y 1 x -displace rz 45 s 0.707 h 40 } R1 box }

H Fractal //H Fractal #define displace 0.25 1 * {z -0.1 s 50 50 0.1 color #bbb}box set maxdepth 12 set background white 2 * {y -0.75 rz 180}R1 rule R1 maxdepth 7 { { y 0.5 x displace rz -90 s 0.707 h 40 }R1 { y 0.5 x -displace rz 90 s 0.707 h 40 }R1 d } rule d{ {s 0.1 1 0.1 h 40}box }

Dragon Fractal // Dragon Factal #define displace 0.5 set colorpool list:white,skyblue,#0044dd,#0088ee set maxdepth 200 set background black 1 * {z -1 s 20 20 1 color #999}box R1 rule R1 md 10 > R2 { {s 0.707 y 1 x displace rz 45 }R1 {s 0.707 y 1 x -displace rz 45 }R1 } rule R2{ {s 0.707 0.707 1 color random}box }

Levy C Curve //Levy C Curve #define displace 0.5 set maxdepth 200 set colorpool list:white,skyblue,#0044dd,#0088ee set background white 1 * {z -0.0575 s 50 50 0.1 color #666}box R1 rule R1 maxdepth 11 > R2{ { y 0.5 x displace rz -45 s 0.707 h 40 }R1 { y 0.5 x -displace rz 45 s 0.707 h 40 }R1 } rule R2{ {s 2.1 0.2 5 color random}box }

2d Box Fractal //2d Box Fractal #define dis 1 #define siz 1/3 set colorpool list:white,gray,#ddd,#999 set background #000 a2 rule a2 w 3 maxdepth 2 > d { { s siz x 0 y 0 z 0 h 15 } a2 { s siz x dis y dis z 0 h 15 } a2 { s siz x dis y -dis z 0 h 15 } a2 { s siz x -dis y dis z 0 h 15 } a2 { s siz x -dis y -dis z 0 h 15 } a2 } rule a2 w 3 maxdepth 3 > d { { s siz x 0 y 0 z 0 h 15 } a2 { s siz x dis y dis z 0 h 15 } a2 { s siz x dis y -dis z 0 h 15 } a2 { s siz x -dis y dis z 0 h 15 } a2 { s siz x -dis y -dis z 0 h 15 } a2 } rule d { { color random } box }

3d Box Fractal //3D Box Fractal #define dis 1 #define siz 1/3 set colorpool list:white,skyblue,#0044dd,#0088ee set background #000 a2 rule a2 w 5 maxdepth 3 > d { { s siz x 0 y 0 z 0 h 15 } d { s siz x dis y dis z dis h 15 } a2 { s siz x dis y -dis z dis h 15 } d { s siz x -dis y dis z dis h 15 } d { s siz x -dis y -dis z dis h 15 } d { s siz x dis y dis z -dis h 15 } d { s siz x dis y -dis z -dis h 15 } d { s siz x -dis y dis z -dis h 15 } d { s siz x -dis y -dis z -dis h 15 } d } rule d { { color random } box }

Sierpinski Pyramid //Sierpinski Pyramid set background #fff #define dis 0.5 #define off 0.866 #define gap 1 r1 rule r1 md 4 > p1 { { x 0 z 0.433 s 0.5 h 40 } r1 { x 0.25 y 0.25 s 0.5 h 40 } r1 { x -0.25 y -0.25 s 0.5 h 40 } r1 { x -0.25 y 0.25 s 0.5 h 40 } r1 { x 0.25 y -0.25 s 0.5 h 40 } r1 } rule p1 { { z 0.5 h 50 } pyramid1 } rule pyramid1 { triangle[0,0,0;1,0,0;0.5,0.5,off] triangle[1,0,0;1,1,0;0.5,0.5,off] triangle[1,1,0;0,1,0;0.5,0.5,off] triangle[0,1,0;0,0,0;0.5,0.5,off] }

Inverted Sierpinski Pyramid //Inverted Sierpinski Pyramid set background #fff #define dis 0.5 #define off 0.866 #define gap 1 r1 rule r1 md 5 { { x 0 z 0.433 s 0.5 h 40 } r1 { x 0.25 y 0.25 s 0.5 h 40 } r1 { x -0.25 y -0.25 s 0.5 h 40 } r1 { x -0.25 y 0.25 s 0.5 h 40 } r1 { x 0.25 y -0.25 s 0.5 h 40 } r1 { z 0.25 } p2 } rule p2 { { s 0.5 } pyramid2 } rule pyramid2 { triangle[0.5,0.5,0 ;0,0,off;1,0,off] triangle[0.5,0.5,0 ;1,0,off;1,1,off] triangle[0.5,0.5,0 ;1,1,off;0,1,off] triangle[0.5,0.5,0 ;0,1,off;0,0,off] triangle[0,0,off;1,0,off;1,1,off] triangle[1,1,off;0,1,off;0,0,off] }

Pythagoras Tree 2 //Pythagoras Tree 2 #define displace 0.51 set maxdepth 200 set background white 1 * {y -0.6 s 150 0.1 150 color #999}box R1 rule R1 maxdepth 9 { { y 1.1 x displace rz -45 s 0.707 h 40 } R1 { y 1.1 x -displace rz 45 s 0.707 h 40 } R1 { color #fff } frame { } d } rule d{ { s 0.1 0.9 0.9 x 5 } box { s 0.1 0.9 0.9 x -5 } box { s 0.9 0.1 0.9 y 5 } box { s 0.9 0.1 0.9 y -5 } box { s 0.9 0.9 0.1 z 5 } box { s 0.9 0.9 0.1 z -5 } box } rule frame { { s 0.1 1.1 0.1 x 5 z 5 } box { s 0.1 1.1 0.1 x 5 z -5 } box { s 0.1 1.1 0.1 x -5 z 5 } box { s 0.1 1.1 0.1 x -5 z -5 } box { s 1 0.1 0.1 y 5 z 5 } box { s 1 0.1 0.1 y 5 z -5 } box { s 1 0.1 0.1 y -5 z 5 } box { s 1 0.1 0.1 y -5 z -5 } box { s 0.1 0.1 1 y 5 x 5 } box { s 0.1 0.1 1 y 5 x -5 } box { s 0.1 0.1 1 y -5 x 5 } box { s 0.1 0.1 1 y -5 x -5 } box }

3D Frames //3D Frames #define dis 0.55 set colorpool list:white,#ee0,#e0e,#0ee set background #000 a2 rule a2 w 3 maxdepth 6 > d { { s 0.5 0.5 0.5 x dis y dis z dis } a2 { s 0.5 0.5 0.5 x -dis y dis z dis } d { s 0.5 0.5 0.5 x dis y -dis z dis } d { s 0.5 0.5 0.5 x -dis y -dis z dis } d { s 0.5 0.5 0.5 x dis y dis z -dis } d { s 0.5 0.5 0.5 x -dis y dis z -dis } d { s 0.5 0.5 0.5 x dis y -dis z -dis } d { s 0.5 0.5 0.5 x -dis y -dis z -dis } a2 } rule d w 2 { { s 1 1 1 color random } frame } rule frame { { s 0.1 1.1 0.1 x 5 z 5 } box { s 0.1 1.1 0.1 x 5 z -5 } box { s 0.1 1.1 0.1 x -5 z 5 } box { s 0.1 1.1 0.1 x -5 z -5 } box { s 1 0.1 0.1 y 5 z 5 } box { s 1 0.1 0.1 y 5 z -5 } box { s 1 0.1 0.1 y -5 z 5 } box { s 1 0.1 0.1 y -5 z -5 } box { s 0.1 0.1 1 y 5 x 5 } box { s 0.1 0.1 1 y 5 x -5 } box { s 0.1 0.1 1 y -5 x 5 } box { s 0.1 0.1 1 y -5 x -5 } box }

Fractal Box 2 //Fractal Box 2 #define size 0.5 #define offset 0.5 set colorpool list:white,white,blue,#ee0000,#00ee00 set background #fff R1 rule R1 md 5{ { z offset s size } R1 { y offset s size } R1 { x offset s size} R1 { z -offset s size } R1 { y -offset s size } R1 { x -offset s size } R1 { color random } box }

Fractal Box 3 //Fractal Box 3 set colorpool list:white,#ee0,#e0e,#0ee set background #fff #define size 0.4 #define offset 0.5 set maxdepth 7 R1 rule R1 md 6 { { x offset y offset z offset s size } R1 { x offset y -offset z offset s size } R1 { x -offset y -offset z offset s size } R1 { x -offset y offset z offset s size } R1 { x offset y offset z -offset s size } R1 { x offset y -offset z -offset s size } R1 { x -offset y -offset z -offset s size } R1 { x -offset y offset z -offset s size } R1 { color random } box }

Frame Frame 1 // Frame Frame 1 set colorpool list:blue,#0088ff,magenta,white set background #fff #define size 0.25 #define offset 0.3125 set maxdepth 7 R1 rule R1 md 4 { { x offset y offset z offset s size } R1 { x offset y -offset z offset s size } R1 { x -offset y -offset z offset s size } R1 { x -offset y offset z offset s size } R1 { x offset y offset z -offset s size } R1 { x offset y -offset z -offset s size } R1 { x -offset y -offset z -offset s size } R1 { x -offset y offset z -offset s size } R1 { color random } frame } rule frame { { s 0.1 1.1 0.1 x 5 z 5 } box { s 0.1 1.1 0.1 x 5 z -5 } box { s 0.1 1.1 0.1 x -5 z 5 } box { s 0.1 1.1 0.1 x -5 z -5 } box { s 1 0.1 0.1 y 5 z 5 } box { s 1 0.1 0.1 y 5 z -5 } box { s 1 0.1 0.1 y -5 z 5 } box { s 1 0.1 0.1 y -5 z -5 } box { s 0.1 0.1 1 y 5 x 5 } box { s 0.1 0.1 1 y 5 x -5 } box { s 0.1 0.1 1 y -5 x 5 } box { s 0.1 0.1 1 y -5 x -5 } box }

Frame Frame 2 // Frame Frame 2 #define size 0.4 #define offset 0.5 set colorpool list:yellow,orange,white,red set background #fff R1 rule R1 md 4 { { x offset y offset z offset s size } R1 { x offset y -offset z offset s size } R1 { x -offset y -offset z offset s size } R1 { x -offset y offset z offset s size } R1 { x offset y offset z -offset s size } R1 { x offset y -offset z -offset s size } R1 { x -offset y -offset z -offset s size } R1 { x -offset y offset z -offset s size } R1 { color random } frame } rule frame { { s 0.1 1.1 0.1 x 5 z 5 } box { s 0.1 1.1 0.1 x 5 z -5 } box { s 0.1 1.1 0.1 x -5 z 5 } box { s 0.1 1.1 0.1 x -5 z -5 } box { s 1 0.1 0.1 y 5 z 5 } box { s 1 0.1 0.1 y 5 z -5 } box { s 1 0.1 0.1 y -5 z 5 } box { s 1 0.1 0.1 y -5 z -5 } box { s 0.1 0.1 1 y 5 x 5 } box { s 0.1 0.1 1 y 5 x -5 } box { s 0.1 0.1 1 y -5 x 5 } box { s 0.1 0.1 1 y -5 x -5 } box }

Sierpinski Pyramid Cube //Sierpinski Pyramid Cube #define dis 1 #define off 0.866 set background #fff 1 * {z -0.1 s 50 50 0.1 color #ad6 } box 2 * {x 2 z 2 ry 180 } 4 * {y 2 rx 90 } r1 rule r1 md 3 > p2 { {s 0.5 x 0 y 0 } r1 { s 0.5 x 1 } r1 { s 0.5 x 0 y 1 z 0 } r1 { s 0.5 x 0 y 0 z 1 } r1 } rule r1 md 1 > p2 { {s 0.5 x 0 y 0 } r1 { s 0.5 x 1 } r1 { s 0.5 x 0 y 1 z 0 } r1 { s 0.5 x 0 y 0 z 1 } r1 } rule r1 md 1 > p2 { {s 0.5 x 0 y 0 }r1 { s 0.5 x 1 }r1 { s 0.5 x 0 y 1 z 0 }r1 { s 0.5 x 0 y 0 z 1 }r1 } rule p2{ //{x 0.5 y 0.5 z 0.5 color #b9c}box { x 0.5 y 0.5 z 0.5 color #b9c } pyramid } rule pyramid { triangle[0,0,0;0,1,0;1,0,0] triangle[0,0,0;0,1,0;0,0,1] triangle[0,0,0;1,0,0;0,0,1] triangle[1,0,0;0,1,0;0,0,1] }

Tic Tac Toe // Tic Tac Toe 1 * {z -0.1 s 20 20 0.1 color #eee } box tictactoe rule tictactoe md 2 > mark { { z -0.03 s 0.3 } tictactoe { x 2 y 2 z -0.03 s 0.3 } tictactoe { x -2 y -2 z -0.03 s 0.3 } mark { x 2 y -2 z -0.03 s 0.3 } tictactoe { x -2 y 2 z -0.03 s 0.3 } mark { x -2 y 0 z -0.03 s 0.3 } tictactoe { x 2 y 0 z -0.03 s 0.3 } tictactoe { x 0 y 2 z -0.03 s 0.3 } mark { x 0 y -2 z -0.03 s 0.3 } tictactoe lines } rule tictactoe md 1 > mark { { z -0.03 s 0.3 }tictactoe { x 2 y 2 z -0.03 s 0.3 } tictactoe { x -2 y -2 z -0.03 s 0.3 } mark { x 2 y -2 z -0.03 s 0.3 } tictactoe { x -2 y 2 z -0.03 s 0.3 } mark { x -2 y 0 z -0.03 s 0.3 } tictactoe { x 2 y 0 z -0.03 s 0.3 } tictactoe { x 0 y 2 z -0.03 s 0.3 } mark { x 0 y -2 z -0.03 s 0.3 } tictactoe lines } rule lines{ 1 * { y -3 s 6 0.1 0.1} 2 * { y 20 color #aa4 } box 1 * { x -3 s 0.1 6 0.1} 2 * { x 20 color #aa4 } box } rule mark{} rule mark{} rule mark{ { rz 45 s 3 } xx } rule mark{ { x 2 s 0.3 } oo } rule xx{ { y -0 s 1.5 0.1 0.1 color #48e } box { x -0 s 0.1 1.5 0.1 color #48e } box } rule oo md 50 { { x 0.06 y 0.85 rz 7.5 } oo { s 0.75 1 0.75 } box }