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// These LSystems are designed to be run from FRACTINT. No compilation is |
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// necessary, just copy this file to the FRACTINT directory and run FRACTINT. |
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// Select the lsystem fractal type and press F6 to select a file. |
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// This is the old ColorPenrose1 with three changes. |
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// 1. A brighter red and green |
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// 2. The name was changed to group the Penrose tilings together |
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// 3. The comment was corrected. |
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|
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ruleset ( // by Herb Savage |
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// based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers", |
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// Roger Penrose's rhombuses |
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// Uses color to show similar lines |
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|
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Penrose_color(n) => attr (delta, 360/10) +WF--XF---YF--ZF, n; |
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W => YF++ZF----XF[-YF----WF]++; |
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X => +YF--ZF[---WF--XF]+; |
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Y => -WF++XF[+++YF++ZF]-; |
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Z => --YF++++WF[+ZF++++XF]--XF; |
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F => ; |
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) |
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|
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// This tiling actually does what the old comment for ColorPenrose1 said |
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// it did. |
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|
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ruleset ( // by Herb Savage |
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// based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers", |
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// Roger Penrose's rhombuses |
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// Uses color to show the edge matching rules to force nonperiodicy |
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|
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Penrose_forced(n) => attr (delta, 360/10) +WFF--XFF---YFF--ZFF, n; |
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W => YFF++ZFF----XFF[-YFF----WFF]++; |
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X => +YFF--ZFF[---WFF--XFF]+; |
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Y => -WFF++XFF[+++YFF++ZFF]-; |
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Z => --YFF++++WFF[+ZFF++++XFF]--XFF; |
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F => ; |
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) |
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|
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ruleset ( // by Herb Savage |
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// based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers", |
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// Roger Penrose's kites and darts |
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|
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Kites_and_darts(n) => attr (delta, 360/10) Wf+Xf+Wf+Xf+Wf+Xf+Wf+Xf+Wf+X, n; |
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W => [F][++ attr (distance, distance*01.618033989) F][++f--- attr (distance, distance*0.618033989) f|X-Y|f|W]; |
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X => [F+++ attr (distance, distance*01.618033989) F][++ attr (distance, distance*0.618033989) fZ|X|-f|W]; |
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Y => [+F][ attr (distance, distance*01.618033989) F][+f attr (distance, distance*0.618033989) |Y+X]; |
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Z => [-F][ attr (distance, distance*01.618033989) F][ attr (distance, distance*0.618033989) f--Wf|+Z]; |
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F => ; |
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) |
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|
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ruleset ( // by Herb Savage |
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// based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers", |
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// Roger Penrose's kites and darts |
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|
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Kites_and_darts_color(n) => attr (delta, 360/10) Wf+Xf+Wf+Xf+Wf+Xf+Wf+Xf+Wf+X, n; |
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W => [F][++ attr (distance, distance*01.618033989) F][++f--- attr (distance, distance*0.618033989) f|X-Y|f|W]; |
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X => [F+++ attr (distance, distance*01.618033989) F][++ attr (distance, distance*0.618033989) fZ|X|-f|W]; |
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Y => [+F][ attr (distance, distance*01.618033989) F][+f attr (distance, distance*0.618033989) |Y+X]; |
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Z => [-F][ attr (distance, distance*01.618033989) F][ attr (distance, distance*0.618033989) f--Wf|+Z]; |
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F => ; |
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) |
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|
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ruleset ( // by Herb Savage |
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// based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers" |
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|
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Spiral_tile(n) => attr (delta, 360/16) X++X++X++X++|f|X++X++X++X, n; |
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X => [FX+++++ attr (distance, distance*0.7653668647) F attr (distance, distance/0.7653668647) [-----Y]+++++F]; |
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Y => [F+++++ attr (distance, distance*0.7653668647) F attr (distance, distance/0.7653668647) [-----Y]+++++F]; |
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) |
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|
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ruleset ( // by Herb Savage |
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// based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers", |
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// A spiral tiling by Heinz Voderberg |
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|
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Voderberg_tile(n) => attr (delta, 360/30) -(84.1) A -(96) attr (distance, distance*04.783386117) f attr (distance, distance/04.783386117) +(96) A, n; |
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A => X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) X -(12) Z; |
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X => [F -(78) F -(46.37236) attr (distance, distance*03.393427) F attr (distance, distance/03.393427) +(46.37236) F -(114) [ -(168) X -(24) Y]F -(78) F -(46.37236) attr (distance, distance*03.393427) F attr (distance, distance/03.393427) +(46.37236) F +(78) F]; |
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Y => [F -(78) F -(46.37236) attr (distance, distance*03.393427) F attr (distance, distance/03.393427) +(46.37236) F +(78) F -(168) [ -(192) Y]F -(78) F -(46.37236) attr (distance, distance*03.393427) F attr (distance, distance/03.393427) +(46.37236) F]; |
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Z => [F -(78) F -(46.37236) attr (distance, distance*03.393427) F attr (distance, distance/03.393427) +(46.37236) F -(114) F -(78) F -(46.37236) attr (distance, distance*03.393427) F attr (distance, distance/03.393427) +(46.37236) F +(78) F]; |
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) |
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|
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// These two aren't tilings but simple spiral patterns done by my 12 year old |
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// son Morgan that really need the warning from "Fractal Creations" about |
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// color cycling introducing hypnotic states. |
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|
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ruleset ( // by Morgan Savage |
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// Try order 13 and color cycle in both 256 and 16 color modes |
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|
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Vertigo(n) => attr (delta, 360/46) X, n; |
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X => XF+ attr (distance, distance*0.9997) X; |
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) |
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|
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ruleset ( // by Morgan Savage |
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// Try order 13 and color cycle in both 256 and 16 color modes |
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|
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Vertigo1(n) => attr (delta, 360/49) X, n; |
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X => XF+ attr (distance, distance*0.9997) X; |
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) |
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|
