Grapes/3D 1.21
[Don't Edit]
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UserFunction
0
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Point
22 5 6 13 14 0 2 3 9 10 11 12 0 0 8 0 0 0 0 0 4 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
P
1 3 1
P
k*(M.y/ tan(a) - M.x, 0, (-M.z) / 2)
s 0.1
t 0.1
0 0 0
0 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
Q
1 3 1
Q
k (M.y / tan(a), M.y, M.z / 2)
s 0.1
t 0.1
0 0 0
16711680 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
R
7 3 1
E0
(p,0,q)
0
3
p 0.5
-2
2
q 0.5
0 0 0
16777215 16761087 16761087 1 0 0 1 1 0
3 0 1 1 0 0 0
S
7 3 1
Eα
(p,p*tan(2Pi/n),q)
0
3
p 0.5
-2
2
q 0.5
0 0 0
16777215 16761024 16761024 1 0 0 1 1 0
3 0 1 1 0 0 0
T
0 0 1
U
1 3 1
v{u}
(cos(t), 0, sin(t))
s 0.1
t 0.1
0 0 0
16777215 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
V
1 3 1
v{v}
unit(U&N)
s 0.1
t 0.1
0 0 0
16777215 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
A
1 3 1
A
P-k/Sqrt2*U
s 0.1
t 0.1
0 0 0
16711680 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
B
1 3 1
B
P+k/Sqrt2*U
s 0.1
t 0.1
0 0 0
16711680 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
C
1 3 1
C
Q-k/Sqrt2*V
s 0.1
t 0.1
0 0 0
16711680 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
D
1 3 1
D
Q+k/Sqrt2*V
s 0.1
t 0.1
0 0 0
16711680 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
E
0 0 1
F
0 0 1
G
1 3 1
G
mid(P,Q)
s 0.1
t 0.1
1 0 0
255 16711680 16711680 1 0 0 1 1 0
1 0 1 1 0 0 0
H
0 0 1
I
0 0 1
J
0 0 1
K
0 0 1
L
0 0 1
M
1 3 1
v{w}
-U & V
s 0.1
t 0.1
0 0 0
16777215 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
N
1 3 1
v{nα }
(-sin(a),cos(a),0)
s 0.1
t 0.1
0 0 0
16777215 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
O
1 0 3
O
(0,0,0)
s 0.1
t 0.1
0 0 0
16777215 16711680 16711680 1 0 0 1 1 0
3 0 1 1 0 0 0
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Segments
8
3 0 1 0 0
1 1 16711935 16777215 4
1 1 16711680 16777215 1
0 na
252 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 0 1 0 0
1 1 255 16777215 4
1 1 16711680 16777215 1
0
252 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 0 1 0 0
1 1 16711680 16777215 4
1 1 16711680 16777215 1
0
252 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 0 1 0 0
1 1 4227327 16777215 4
1 1 16711680 16777215 1
0
252 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0
2 1 44975 16777215 2
1 1 16711680 16777215 1
0
1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 0 1 0 1
1 1 52992 12648384 2
1 1 16711680 16777215 1
0
8 9 10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 0 1 0 0
1 1 16711680 65535 1
1 1 16711680 16777215 1
0
1 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 0 1 0 0
1 1 16711680 16777215 1
1 1 16711680 16777215 1
0
2 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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paramater
14
0.62831853 0
1 1 0.1 0 2
1.5 0
1 1 0.1 0 0
1 0
1 1 0.1 1 0
1 0
1 1 0.1 1 0
1.8 0
1 1 0.1 1 4
1 0
1 1 0.1 1 0
10 0
1 1 2 1 1
1 0
1 1 0.1 0 5
1 0
1 1 0.1 0 6
1 0
1 1 0.1 1 0
1 0
1 1 0.1 1 0
0 0
1 1 0.1 1 3
1 0
1 1 0.1 1 0
1 0
1 1 0.1 1 0
1 1 104
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KakuMode LogMode AreaMode
1 2 1 1 0 1 30 1
DrawMode SegmentShowSync
1 0
AfterImageColorNo, CanAImg
2 1
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ScaleS
Vlow,VHigh
-5 5
-5 5
MeshMode , Axiswidth , Sfontsize , Axismode , AxesColor
2 1 12 1 1 1 1
ViewPoint
-10.6543246540642 19.5052493093269 41.1795508633786 14.1529064959268 0 0 0 0 0 (0,0,0)
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ViewPosition
5
30 20 25 30
-70 20 25 30
60 20 25 30
-90 90 25 30
-90 0 25 30
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Panel Position
187 1000 308 56 1000 0 233 1 0 0 1 0 1 0
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MEMO SECTION
Style, Color, BGcolor , Size, PositionX, positionY
3 1 0 14
22
n:カライドサイクルの四面体の数
t:x軸とv{AB}が作る回転角度[rad]
k:PQの長さ(P,QはそれぞれABとCDの中点)
カライドサイクルにおける正四面体の回転
v{nα }は、平面Eα の法線ベクトル
v{u}はv{AB}の単位ベクトル
v{v}はv{CD}の単位ベクトル
v{w}はv{PQ}の単位ベクトル
重心Gは常にxy平面上にある。
#HideScript
#on n,k change
#a:=2Pi/n
#//正四面体の回転
#for t:=0 to 2*Pi step Pi/200
#draw
#next
#t:=0
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11
13 734 0
13 9 0
600 729 0
4 24 0
4 24 0
4 24 0
4 24 0
4 24 0
4 24 0
4 24 0
4 24 0
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Table SECTION
RowNo, ColumnNo
0 10 200
Table Data
60 60 60 60 60 60 60 60 60 60
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SimpleMemo SECTION
3
参考文献
M.C.Escher Kaleidocyles (M.Engel,May 7, 2003)
(http://www.kaleidocycles.de/pdf/kaleidocycles_theory.pdf)
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