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
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
|
; These LSystems are designed to be run from FRACTINT. No compilation is
; necessary, just copy this file to the FRACTINT directory and run FRACTINT.
; Select the lsystem fractal type and press F6 to select a file.
; This is the old ColorPenrose1 with three changes.
; 1. A brighter red and green
; 2. The name was changed to group the Penrose tilings together
; 3. The comment was corrected.
Penrose1Color { ; by Herb Savage
; based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers",
; Roger Penrose's rhombuses
; Uses color to show similar lines
Angle 10
Axiom +WC10F--XC12F---YC12F--ZC10F
W=YC12F++ZC10F----XC12F[-YC12F----WC10F]++
X=+YC12F--ZC10F[---WC10F--XC12F]+
Y=-WC10F++XC12F[+++YC12F++ZC10F]-
Z=--YC12F++++WC10F[+ZC10F++++XC12F]--XC12F
F=
}
; This tiling actually does what the old comment for ColorPenrose1 said
; it did.
Penrose1Forced { ; by Herb Savage
; based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers",
; Roger Penrose's rhombuses
; Uses color to show the edge matching rules to force nonperiodicy
Angle 10
Axiom +WC10FC12F--XC11FC10F---YC10FC11F--ZC12FC10F
W=YC10FC11F++ZC12FC10F----XC11FC10F[-YC10FC11F----WC10FC12F]++
X=+YC10FC11F--ZC12FC10F[---WC10FC12F--XC11FC10F]+
Y=-WC10FC12F++XC11FC10F[+++YC10FC11F++ZC12FC10F]-
Z=--YC10FC11F++++WC10FC12F[+ZC12FC10F++++XC11FC10F]--XC11FC10F
F=
}
KitesAndDarts { ; by Herb Savage
; based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers",
; Roger Penrose's kites and darts
Angle 10
Axiom WG+XG+WG+XG+WG+XG+WG+XG+WG+X
W=[F][++@1.618033989F][++G---@.618033989G|X-Y|G|W]
X=[F+++@1.618033989F][++@.618033989GZ|X|-G|W]
Y=[+F][@1.618033989F][+G@.618033989|Y+X]
Z=[-F][@1.618033989F][@.618033989G--WG|+Z]
F=
}
KitesAndDartsColor { ; by Herb Savage
; based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers",
; Roger Penrose's kites and darts
Angle 10
Axiom WG+XG+WG+XG+WG+XG+WG+XG+WG+X
W=[C10F][++@1.618033989C12F][++G---@.618033989G|X-Y|G|W]
X=[C10F+++@1.618033989C12F][++@.618033989GZ|X|-G|W]
Y=[+C10F][@1.618033989C12F][+G@.618033989|Y+X]
Z=[-C10F][@1.618033989C12F][@.618033989G--WG|+Z]
F=
}
SpiralTile { ; by Herb Savage
; based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers"
angle 16
axiom X++X++X++X++|G|X++X++X++X
X=[C12FX+++++@.7653668647C10F@I.7653668647[-----Y]+++++C12F]
Y=[C12F+++++@.7653668647C10F@I.7653668647[-----Y]+++++C12F]
}
VoderbergTile { ; by Herb Savage
; based on Martin Gardner's "Penrose Tiles to Trapdoor Ciphers",
; A spiral tiling by Heinz Voderberg
angle 30
axiom \84.1A\96@4.783386117M@I4.783386117/96A
A=X\12X\12X\12X\12X\12X\12X\12X\12X\12X\12X\12X\12X\12X\12X\12Z
X=[D\78D\46.37236@3.393427D@I3.393427/46.37236D\114[\168X\24Y]D\78D\46.37236@3.393427D@I3.393427/46.37236D/78D]
Y=[D\78D\46.37236@3.393427D@I3.393427/46.37236D/78D\168[\192Y]D\78D\46.37236@3.393427D@I3.393427/46.37236D]
Z=[D\78D\46.37236@3.393427D@I3.393427/46.37236D\114D\78D\46.37236@3.393427D@I3.393427/46.37236D/78D]
}
; These two aren't tilings but simple spiral patterns done by my 12 year old
; son Morgan that really need the warning from "Fractal Creations" about
; color cycling introducing hypnotic states.
Vertigo1 { ; by Morgan Savage
; Try order 13 and color cycle in both 256 and 16 color modes
Angle 46
Axiom X
X=X>1F+@.9997X
}
Vertigo2 { ; by Morgan Savage
; Try order 13 and color cycle in both 256 and 16 color modes
Angle 49
Axiom X
X=X>1F+@.9997X
}
|
