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|
%version 31 octobre 2003
%
/tx@3DDict 100 dict def
tx@3DDict begin
/Cube{%
/XA M11 A mul M12 B mul add M13 C mul add CX add def
/YA M21 A mul M22 B mul add M23 C mul add CY add def
/ZA M31 A mul M32 B mul add M33 C mul add CZ add def
/XB M11 A mul neg M12 B mul add M13 C mul add CX add def
/YB M21 A mul neg M22 B mul add M23 C mul add CY add def
/ZB M31 A mul neg M32 B mul add M33 C mul add CZ add def
/XC M11 A mul neg M12 B mul neg add M13 C mul add CX add def
/YC M21 A mul neg M22 B mul neg add M23 C mul add CY add def
/ZC M31 A mul neg M32 B mul neg add M33 C mul add CZ add def
/XD M11 A mul M12 B mul neg add M13 C mul add CX add def
/YD M21 A mul M22 B mul neg add M23 C mul add CY add def
/ZD M31 A mul M32 B mul neg add M33 C mul add CZ add def
/XE M11 A mul M12 B mul add M13 C mul sub CX add def
/YE M21 A mul M22 B mul add M23 C mul sub CY add def
/ZE M31 A mul M32 B mul add M33 C mul sub CZ add def
/XF M11 A mul neg M12 B mul add M13 C mul sub CX add def
/YF M21 A mul neg M22 B mul add M23 C mul sub CY add def
/ZF M31 A mul neg M32 B mul add M33 C mul sub CZ add def
/XG M11 A mul neg M12 B mul sub M13 C mul sub CX add def
/YG M21 A mul neg M22 B mul sub M23 C mul sub CY add def
/ZG M31 A mul neg M32 B mul sub M33 C mul sub CZ add def
/XH M11 A mul M12 B mul sub M13 C mul sub CX add def
/YH M21 A mul M22 B mul sub M23 C mul sub CY add def
/ZH M31 A mul M32 B mul sub M33 C mul sub CZ add def
% Centres des faces : condition de visibilité
% FACE 1
% OC1
/XC1 M13 C mul CX add def
/YC1 M23 C mul CY add def
/ZC1 M33 C mul CZ add def
% Normale à la face 1
/NX1 M13 C mul def
/NY1 M23 C mul def
/NZ1 M33 C mul def
% rayon vers point de vue
/RXvue1 XC1 XpointVue sub def
/RYvue1 YC1 YpointVue sub def
/RZvue1 ZC1 ZpointVue sub def
% produit scalaire
/PS1 RXvue1 NX1 mul RYvue1 NY1 mul add RZvue1 NZ1 mul add def
% FACE 2
% OC2
/XC2 M11 A mul CX add def
/YC2 M21 A mul CY add def
/ZC2 M31 A mul CZ add def
% normale à la face 2
/NX2 M11 A mul def
/NY2 M21 A mul def
/NZ2 M31 A mul def
% rayon vers point de vue
/RXvue2 XC2 XpointVue sub def
/RYvue2 YC2 YpointVue sub def
/RZvue2 ZC2 ZpointVue sub def
% produit scalaire
/PS2 RXvue2 NX2 mul RYvue2 NY2 mul add RZvue2 NZ2 mul add def
% FACE 3
% OC3
/XC3 M13 C neg mul CX add def
/YC3 M23 C neg mul CY add def
/ZC3 M33 C neg mul CZ add def
% normale à la face 3
/NX3 M13 C neg mul def
/NY3 M23 C neg mul def
/NZ3 M33 C neg mul def
% rayon vers point de vue
/RXvue3 XC3 XpointVue sub def
/RYvue3 YC3 YpointVue sub def
/RZvue3 ZC3 ZpointVue sub def
% produit scalaire
/PS3 RXvue3 NX3 mul RYvue3 NY3 mul add RZvue3 NZ3 mul add def
% FACE 4
% OC4
/XC4 M11 A neg mul CX add def
/YC4 M21 A neg mul CY add def
/ZC4 M31 A neg mul CZ add def
% normale à la face 4
/NX4 M11 A neg mul def
/NY4 M21 A neg mul def
/NZ4 M31 A neg mul def
% rayon vers point de vue
/RXvue4 XC4 XpointVue sub def
/RYvue4 YC4 YpointVue sub def
/RZvue4 ZC4 ZpointVue sub def
% produit scalaire
/PS4 RXvue4 NX4 mul RYvue4 NY4 mul add RZvue4 NZ4 mul add def
% FACE 5
% OC5
/XC5 M12 B neg mul CX add def
/YC5 M22 B neg mul CY add def
/ZC5 M32 B neg mul CZ add def
% normale à la face 5
/NX5 M12 B neg mul def
/NY5 M22 B neg mul def
/NZ5 M32 B neg mul def
% rayon vers point de vue
/RXvue5 XC5 XpointVue sub def
/RYvue5 YC5 YpointVue sub def
/RZvue5 ZC5 ZpointVue sub def
% produit scalaire
/PS5 RXvue5 NX5 mul RYvue5 NY5 mul add RZvue5 NZ5 mul add def
% FACE 6
% OC6
/XC6 M12 B mul CX add def
/YC6 M22 B mul CY add def
/ZC6 M32 B mul CZ add def
% normale à la face 6
/NX6 M12 B mul def
/NY6 M22 B mul def
/NZ6 M32 B mul def
% rayon vers point de vue
/RXvue6 XC6 XpointVue sub def
/RYvue6 YC6 YpointVue sub def
/RZvue6 ZC6 ZpointVue sub def
% produit scalaire
/PS6 RXvue6 NX6 mul RYvue6 NY6 mul add RZvue6 NZ6 mul add def
% faceOne
PS1 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YA def
/Zcote ZA def
/Xabscisse XA def
CalcCoordinates
moveto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceOne setrgbcolor
fill
grestore
stroke
} if
% faceTwo
PS2 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
moveto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceTwo setrgbcolor
fill
grestore
stroke
} if
% face three
PS3 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XE def
/Yordonnee YE def
/Zcote ZE def
CalcCoordinates
moveto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceThree setrgbcolor
fill
grestore
stroke
} if
% face four
PS4 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
moveto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceFour setrgbcolor
fill
grestore
stroke
} if
% face five
PS5 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
moveto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceFive setrgbcolor
fill
grestore
stroke
} if
% face six
PS6 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
moveto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceSix setrgbcolor
fill
grestore
stroke
} if
}
def
%
/PointsDie{%
PS6 0 Condition{ %
reduction reduction scale
A 2 div neg A A 2 div {
/XCpoint exch def
C 2 div neg C C 2 div {
/ZCpoint exch def
newpath
/Zpoint Rpoint ZCpoint add def
/Xpoint XCpoint def
/Ypoint B def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Zpoint Rpoint Angle cos mul ZCpoint add def
/Xpoint Rpoint Angle sin mul XCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} for
} for
} if
PS5 0 Condition{ %
reduction reduction scale
newpath
/Ypoint B neg def
/XCpoint A 2 div neg def
/ZCpoint C 2 div def
/Xpoint Rpoint XCpoint add def
/Zpoint ZCpoint def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Zpoint Rpoint Angle sin mul ZCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
%
newpath
/XCpoint A 2 div def
/ZCpoint C 2 div neg def
/Xpoint Rpoint XCpoint add def
/Zpoint ZCpoint def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Zpoint Rpoint Angle sin mul ZCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
%
newpath
/XCpoint 0 def
/ZCpoint 0 def
/Xpoint Rpoint XCpoint add def
/Zpoint ZCpoint def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Zpoint Rpoint Angle sin mul ZCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
PS4 0 Condition{ %
reduction reduction scale
C 2 div neg C C 2 div {
/ZCpoint exch def
B 2 div neg B B 2 div {
/YCpoint exch def
newpath
/Zpoint Rpoint ZCpoint add def
/Ypoint YCpoint def
/Xpoint A neg def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Zpoint Rpoint Angle cos mul ZCpoint add def
/Ypoint Rpoint Angle sin mul YCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} for
} for
% le point du milieu
newpath
/Zpoint Rpoint def
/Ypoint 0 def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Zpoint Rpoint Angle cos mul def
/Ypoint Rpoint Angle sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
PS3 0 Condition{ %
reduction reduction scale
A 2 div neg A A 2 div {
/XCpoint exch def
B 2 div neg B 2 div B 2 div {
/YCpoint exch def
newpath
/Xpoint Rpoint XCpoint add def
/Ypoint YCpoint def
/Zpoint C neg def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Ypoint Rpoint Angle sin mul YCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} for
} for
} if
PS2 0 Condition{ %
reduction reduction scale
newpath
/Xpoint A def
/Ypoint Rpoint B 2 div add def
/Zpoint C 2 div neg def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Ypoint Rpoint Angle cos mul B 2 div add def
/Zpoint Rpoint Angle sin mul C 2 div sub def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
newpath
/Xpoint A def
/Ypoint Rpoint B 2 div sub def
/Zpoint C 2 div def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint A def
/Ypoint Rpoint Angle cos mul B 2 div sub def
/Zpoint Rpoint Angle sin mul A 2 div add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
PS1 0 Condition{ %
reduction reduction scale
newpath
/Xpoint Rpoint def
/Ypoint 0 def
/Zpoint C def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul def
/Ypoint Rpoint Angle sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
} def
%
/CalcCoordinates{%
formulesTroisD
Xi 28.45 mul Yi 28.45 mul
}
def
% pour la 3D conventionnelle
/formulesTroisD{%
/xObservateur Xabscisse Sin1 mul neg Yordonnee Cos1 mul add def
/yObservateur Xabscisse Cos1Sin2 mul neg Yordonnee Sin1Sin2 mul sub Zcote Cos2 mul add def
/zObservateur Xabscisse neg Cos1Cos2 mul Yordonnee Sin1Cos2 mul sub Zcote Sin2 mul sub Dobs add def
/Xi DScreen xObservateur mul zObservateur div def
/Yi DScreen yObservateur mul zObservateur div def
}
def
%
/CalculsPointsAfterTransformations{%
/Xabscisse M11 Xpoint mul M12 Ypoint mul add M13 Zpoint mul add CX add def
/Yordonnee M21 Xpoint mul M22 Ypoint mul add M23 Zpoint mul add CY add def
/Zcote M31 Xpoint mul M32 Ypoint mul add M33 Zpoint mul add CZ add def
}
def
%
/SommetsTetraedre{%
/xA RayonBaseTetraedre neg def
/yA 0 def
/zA 0 def
/xB 0.5 RayonBaseTetraedre mul def
/yB RayonBaseTetraedre 0.866 mul neg def
/zB 0 def
/xC xB def
/yC yB neg def
/zC 0 def
/xD 0 def
/yD 0 def
/zD RayonBaseTetraedre 1.414 mul def
% coordonnées centre des faces
/xFaceA xA xB xC add add 3 div def
/yFaceA yA yB yC add add 3 div def
/zFaceA zA zB zC add add 3 div def
/xFaceB xD xA xB add add 3 div def
/yFaceB yD yA yB add add 3 div def
/zFaceB zD zA zB add add 3 div def
/xFaceC xA xD xC add add 3 div def
/yFaceC yA yD yC add add 3 div def
/zFaceC zA zD zC add add 3 div def
/xFaceD xD xB xC add add 3 div def
/yFaceD yD yB yC add add 3 div def
/zFaceD zD zB zC add add 3 div def
% sommets après rotation et translation
/XA M11 xA mul M12 yA mul add M13 zA mul add CX add def
/YA M21 xA mul M22 yA mul add M23 zA mul add CY add def
/ZA M31 xA mul M32 yA mul add M33 zA mul add CZ add def
/XB M11 xB mul M12 yB mul add M13 zB mul add CX add def
/YB M21 xB mul M22 yB mul add M23 zB mul add CY add def
/ZB M31 xB mul M32 yB mul add M33 zB mul add CZ add def
/XC M11 xC mul M12 yC mul add M13 zC mul add CX add def
/YC M21 xC mul M22 yC mul add M23 zC mul add CY add def
/ZC M31 xC mul M32 yC mul add M33 zC mul add CZ add def
/XD M11 xD mul M12 yD mul add M13 zD mul add CX add def
/YD M21 xD mul M22 yD mul add M23 zD mul add CY add def
/ZD M31 xD mul M32 yD mul add M33 zD mul add CZ add def
% centres de faces après transformations
/XFaceA M11 xFaceA mul M12 yFaceA mul add M13 zFaceA mul add CX add def
/YFaceA M21 xFaceA mul M22 yFaceA mul add M23 zFaceA mul add CY add def
/ZFaceA M31 xFaceA mul M32 yFaceA mul add M33 zFaceA mul add CZ add def
/XFaceB M11 xFaceB mul M12 yFaceB mul add M13 zFaceB mul add CX add def
/YFaceB M21 xFaceB mul M22 yFaceB mul add M23 zFaceB mul add CY add def
/ZFaceB M31 xFaceB mul M32 yFaceB mul add M33 zFaceB mul add CZ add def
/XFaceC M11 xFaceC mul M12 yFaceC mul add M13 zFaceC mul add CX add def
/YFaceC M21 xFaceC mul M22 yFaceC mul add M23 zFaceC mul add CY add def
/ZFaceC M31 xFaceC mul M32 yFaceC mul add M33 zFaceC mul add CZ add def
/XFaceD M11 xFaceD mul M12 yFaceD mul add M13 zFaceD mul add CX add def
/YFaceD M21 xFaceD mul M22 yFaceD mul add M23 zFaceD mul add CY add def
/ZFaceD M31 xFaceD mul M32 yFaceD mul add M33 zFaceD mul add CZ add def
% Normales aux faces
/NxA XFaceA XD sub def
/NyA YFaceA YD sub def
/NzA ZFaceA ZD sub def
/NxB XFaceB XC sub def
/NyB YFaceB YC sub def
/NzB ZFaceB ZC sub def
/NxC XFaceC XB sub def
/NyC YFaceC YB sub def
/NzC ZFaceC ZB sub def
/NxD XFaceD XA sub def
/NyD YFaceD YA sub def
/NzD ZFaceD ZA sub def
% Conditions de visibilité
% rayon vers point de vue
/RXvueA XFaceA XpointVue sub def
/RYvueA YFaceA YpointVue sub def
/RZvueA ZFaceA ZpointVue sub def
/RXvueB XFaceB XpointVue sub def
/RYvueB YFaceB YpointVue sub def
/RZvueB ZFaceB ZpointVue sub def
/RXvueC XFaceC XpointVue sub def
/RYvueC YFaceC YpointVue sub def
/RZvueC ZFaceC ZpointVue sub def
/RXvueD XFaceD XpointVue sub def
/RYvueD YFaceD YpointVue sub def
/RZvueD ZFaceD ZpointVue sub def
% produit scalaire
/PSA RXvueA NxA mul RYvueA NyA mul add RZvueA NzA mul add def
/PSB RXvueB NxB mul RYvueB NyB mul add RZvueB NzB mul add def
/PSC RXvueC NxC mul RYvueC NyC mul add RZvueC NzC mul add def
/PSD RXvueD NxD mul RYvueD NyD mul add RZvueD NzD mul add def
}
def
/Tetraedre{%
SommetsTetraedre
% face ABC
PSA 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
moveto
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
lineto
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
lineto
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
lineto
} if
% face DAB
PSB 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
moveto
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
lineto
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
lineto
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
lineto
} if
% face DAC
PSC 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
moveto
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
lineto
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
lineto
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
lineto
} if
% face DBC
PSD 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
moveto
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
lineto
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
lineto
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
lineto
} if
}
def
%
/SommetsPyramide{%
/xA A def
/yA A neg def
/zA 0 def
/xB A def
/yB A def
/zB 0 def
/xC A neg def
/yC A def
/zC 0 def
/xD A neg def
/yD A neg def
/zD 0 def
/xS 0 def
/yS 0 def
/zS Hpyramide def
% coordonnées centre des faces
/Alpha A Hpyramide atan def
/xFaceSAB Hpyramide Alpha dup sin exch cos mul mul def
/yFaceSAB 0 def
/zFaceSAB Hpyramide Alpha sin dup mul mul def
/xFaceSBC 0 def
/yFaceSBC xFaceSAB def
/zFaceSBC zFaceSAB fracHeight mul def
/xFaceSCD xFaceSAB neg def
/yFaceSCD 0 def
/zFaceSCD zFaceSAB fracHeight mul def
/xFaceSDA 0 def
/yFaceSDA xFaceSAB neg def
/zFaceSDA zFaceSAB fracHeight mul def
% sommets après rotation et translation
/XA M11 xA mul M12 yA mul add M13 zA mul add CX add def
/YA M21 xA mul M22 yA mul add M23 zA mul add CY add def
/ZA M31 xA mul M32 yA mul add M33 zA mul add CZ add def
/XB M11 xB mul M12 yB mul add M13 zB mul add CX add def
/YB M21 xB mul M22 yB mul add M23 zB mul add CY add def
/ZB M31 xB mul M32 yB mul add M33 zB mul add CZ add def
/XC M11 xC mul M12 yC mul add M13 zC mul add CX add def
/YC M21 xC mul M22 yC mul add M23 zC mul add CY add def
/ZC M31 xC mul M32 yC mul add M33 zC mul add CZ add def
/XD M11 xD mul M12 yD mul add M13 zD mul add CX add def
/YD M21 xD mul M22 yD mul add M23 zD mul add CY add def
/ZD M31 xD mul M32 yD mul add M33 zD mul add CZ add def
/XS M11 xS mul M12 yS mul add M13 zS mul add CX add def
/YS M21 xS mul M22 yS mul add M23 zS mul add CY add def
/ZS M31 xS mul M32 yS mul add M33 zS mul add CZ add def
% centres de faces après transformations
/XFaceSAB M11 xFaceSAB mul M12 yFaceSAB mul add M13 zFaceSAB mul add CX add def
/YFaceSAB M21 xFaceSAB mul M22 yFaceSAB mul add M23 zFaceSAB mul add CY add def
/ZFaceSAB M31 xFaceSAB mul M32 yFaceSAB mul add M33 zFaceSAB mul add CZ add def
/XFaceSBC M11 xFaceSBC mul M12 yFaceSBC mul add M13 zFaceSBC mul add CX add def
/YFaceSBC M21 xFaceSBC mul M22 yFaceSBC mul add M23 zFaceSBC mul add CY add def
/ZFaceSBC M31 xFaceSBC mul M32 yFaceSBC mul add M33 zFaceSBC mul add CZ add def
/XFaceSCD M11 xFaceSCD mul M12 yFaceSCD mul add M13 zFaceSCD mul add CX add def
/YFaceSCD M21 xFaceSCD mul M22 yFaceSCD mul add M23 zFaceSCD mul add CY add def
/ZFaceSCD M31 xFaceSCD mul M32 yFaceSCD mul add M33 zFaceSCD mul add CZ add def
/XFaceSDA M11 xFaceSDA mul M12 yFaceSDA mul add M13 zFaceSDA mul add CX add def
/YFaceSDA M21 xFaceSDA mul M22 yFaceSDA mul add M23 zFaceSDA mul add CY add def
/ZFaceSDA M31 xFaceSDA mul M32 yFaceSDA mul add M33 zFaceSDA mul add CZ add def
% Normales aux faces
/NxSAB XFaceSAB CX sub def
/NySAB YFaceSAB CY sub def
/NzSAB ZFaceSAB CZ sub def
/NxSBC XFaceSBC CX sub def
/NySBC YFaceSBC CY sub def
/NzSBC ZFaceSBC CZ sub def
/NxSCD XFaceSCD CX sub def
/NySCD YFaceSCD CY sub def
/NzSCD ZFaceSCD CZ sub def
/NxSDA XFaceSDA CX sub def
/NySDA YFaceSDA CY sub def
/NzSDA ZFaceSDA CZ sub def
/NxABCD CX XS sub def
/NyABCD CY YS sub def
/NzABCD CZ ZS sub def
% Conditions de visibilité
% rayon vers point de vue
/RXvueSAB XFaceSAB XpointVue sub def
/RYvueSAB YFaceSAB YpointVue sub def
/RZvueSAB ZFaceSAB ZpointVue sub def
/RXvueSBC XFaceSBC XpointVue sub def
/RYvueSBC YFaceSBC YpointVue sub def
/RZvueSBC ZFaceSBC ZpointVue sub def
/RXvueSCD XFaceSCD XpointVue sub def
/RYvueSCD YFaceSCD YpointVue sub def
/RZvueSCD ZFaceSCD ZpointVue sub def
/RXvueSDA XFaceSDA XpointVue sub def
/RYvueSDA YFaceSDA YpointVue sub def
/RZvueSDA ZFaceSDA ZpointVue sub def
/RXvueABCD CX XpointVue sub def
/RYvueABCD CY YpointVue sub def
/RZvueABCD CZ ZpointVue sub def
/PSAB RXvueSAB NxSAB mul RYvueSAB NySAB mul add RZvueSAB NzSAB mul add def
/PSBC RXvueSBC NxSBC mul RYvueSBC NySBC mul add RZvueSBC NzSBC mul add def
/PSCD RXvueSCD NxSCD mul RYvueSCD NySCD mul add RZvueSCD NzSCD mul add def
/PSDA RXvueSDA NxSDA mul RYvueSDA NySDA mul add RZvueSDA NzSDA mul add def
/PSABCD RXvueABCD NxABCD mul RYvueABCD NyABCD mul add RZvueABCD NzABCD mul add def
}
def
%
/MaillageSphere {
0 increment 360 increment sub {%
/theta exch def
departPhi increment 90 increment sub {%
/phi exch def
% newpath
/Xpoint Rsphere theta cos mul phi cos mul def
/Ypoint Rsphere theta sin mul phi cos mul def
/Zpoint Rsphere phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
% Centre de la facette
/Xpoint Rsphere theta increment 2 div add cos mul phi increment 2 div add cos mul def
/Ypoint Rsphere theta increment 2 div add sin mul phi increment 2 div add cos mul def
/Zpoint Rsphere phi increment 2 div add sin mul def
CalculsPointsAfterTransformations
/xCentreFacette Xabscisse def
/yCentreFacette Yordonnee def
/zCentreFacette Zcote def
% normale à la facette
/nXfacette xCentreFacette CX sub def
/nYfacette yCentreFacette CY sub def
/nZfacette zCentreFacette CZ sub def
% rayon vers point de vue
/RXvue xCentreFacette XpointVue sub def
/RYvue yCentreFacette YpointVue sub def
/RZvue zCentreFacette ZpointVue sub def
% test de visibilité
/PSfacette RXvue nXfacette mul
RYvue nYfacette mul add
RZvue nZfacette mul add
def
condition {
theta 1 theta increment add {%
/theta1 exch def
/Xpoint Rsphere theta1 cos mul phi cos mul def
/Ypoint Rsphere theta1 sin mul phi cos mul def
/Zpoint Rsphere phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
phi 1 phi increment add {
/phi1 exch def
/Xpoint Rsphere theta increment add cos mul phi1 cos mul def
/Ypoint Rsphere theta increment add sin mul phi1 cos mul def
/Zpoint Rsphere phi1 sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
theta increment add -1 theta {%
/theta1 exch def
/Xpoint Rsphere theta1 cos mul phi increment add cos mul def
/Ypoint Rsphere theta1 sin mul phi increment add cos mul def
/Zpoint Rsphere phi increment add sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
phi increment add -1 phi {
/phi1 exch def
/Xpoint Rsphere theta cos mul phi1 cos mul def
/Ypoint Rsphere theta sin mul phi1 cos mul def
/Zpoint Rsphere phi1 sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
} if
} for
} for
} def
%
/CylinderThreeD{
reduction reduction scale
1 setlinejoin
0 incrementANGLE 360 {%
/theta exch def
0 incrementHAUTEUR Hcylindre incrementHAUTEUR sub {%
/H exch def
% newpath
/X1 Rcylindre theta cos mul def
/Y1 Rcylindre theta sin mul def
/Z1 H def
/Xpoint X1 def
/Ypoint Y1 def
/Zpoint Z1 def
CalculsPointsAfterTransformations
/Xfacette Xabscisse def
/Yfacette Yordonnee def
/Zfacette Zcote def
CalcCoordinates
moveto
% coordonnées du centre de la facette
/Xpoint Rcylindre theta incrementANGLE 2 div add cos mul def
/Ypoint Rcylindre theta incrementANGLE 2 div add sin mul def
/Zpoint H incrementHAUTEUR 2 div add def
CalculsPointsAfterTransformations
% Point sur l'axe du cylindre
% à la même hauteur que M1
/Zpoint Z1 def
/Xpoint 0 def
/Ypoint 0 def
CalculsPointsAfterTransformations
% normale à la facette
/nXfacette Xfacette Xabscisse sub def
/nYfacette Yfacette Yordonnee sub def
/nZfacette Zfacette Zcote sub def
% rayon vers point de vue
/RXvue Xfacette XpointVue sub def
/RYvue Yfacette YpointVue sub def
/RZvue Zfacette ZpointVue sub def
% test de visibilité
/PSfacette nXfacette RXvue mul
nYfacette RYvue mul add
nZfacette RZvue mul add
def
PSfacette 0 le {
theta 1 theta incrementANGLE add {%
/theta1 exch def
/Xpoint Rcylindre theta1 cos mul def
/Ypoint Rcylindre theta1 sin mul def
/Zpoint H def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H 1 H incrementHAUTEUR add {
/H1 exch def
/Xpoint Rcylindre theta incrementANGLE add cos mul def
/Ypoint Rcylindre theta incrementANGLE add sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
theta incrementANGLE add -1 theta {%
/theta1 exch def
/Xpoint Rcylindre theta1 cos mul def
/Ypoint Rcylindre theta1 sin mul def
/Zpoint H incrementHAUTEUR add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H incrementHAUTEUR add -1 H {
/H1 exch def
/Xpoint Rcylindre theta cos mul def
/Ypoint Rcylindre theta sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
} if
} for
} for
% Face supérieure
% centre de la face supérieure
/Xpoint 0 def
/Zpoint Hcylindre def
/Ypoint 0 def
CalculsPointsAfterTransformations
/CxFaceSup Xabscisse def
/CyFaceSup Yordonnee def
/CzFaceSup Zcote def
% centre de la face inférieure
/CxFaceInf CX def
/CyFaceInf CY def
/CzFaceInf CZ def
% Normale à la face supérieure
/nXFaceSup CxFaceSup CxFaceInf sub def
/nYFaceSup CyFaceSup CyFaceInf sub def
/nZFaceSup CzFaceSup CzFaceInf sub def
% rayon vers point de vue verd la face inférieure
/RXvueInf CxFaceInf XpointVue sub def
/RYvueInf CyFaceInf YpointVue sub def
/RZvueInf CzFaceInf ZpointVue sub def
% rayon vers point de vue verd la face supérieure
/RXvueSup CxFaceSup XpointVue sub def
/RYvueSup CyFaceSup YpointVue sub def
/RZvueSup CzFaceSup ZpointVue sub def
% Visibilité face supérieure
/PSfaceSup RXvueSup nXFaceSup mul
RYvueSup nYFaceSup mul add
RZvueSup nZFaceSup mul add def
% Visibilité face inférieure
/PSfaceInf RXvueInf nXFaceSup neg mul
RYvueInf nYFaceSup mul sub
RZvueInf nZFaceSup mul sub def
PSfaceSup 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/Xpoint Rcylindre theta cos mul def
/Ypoint Rcylindre theta sin mul def
/Zpoint Hcylindre def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
% face inférieure
PSfaceInf 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/Xpoint Rcylindre theta cos mul def
/Ypoint Rcylindre theta sin mul def
/Zpoint 0 def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
} def
%
%
/ConeThreeD{
/AngleCone Rcone Hcone atan def
/TanAngleCone AngleCone dup sin exch cos div def
/incrementANGLE 10 def
/incrementHAUTEUR Hcone fracHeight mul 5 div def
1 setlinejoin
newpath
0 incrementANGLE 360 {%
/theta exch def
0 incrementHAUTEUR Hcone fracHeight mul incrementHAUTEUR sub {%
/H exch def
% normale à la facette
/nXfacette Hcone AngleCone dup sin exch cos mul theta incrementANGLE 2 div add cos mul
mul def
/nYfacette Hcone AngleCone dup sin exch cos mul theta incrementANGLE 2 div add sin mul
mul def
/nZfacette Hcone AngleCone sin dup mul mul def
/Xpoint nXfacette def
/Ypoint nYfacette def
/Zpoint nZfacette def
CalculsPointsAfterTransformations
/nXfacette Xabscisse CX sub def
/nYfacette Yordonnee CY sub def
/nZfacette Zcote CZ sub def
%
/OK Hcone H sub TanAngleCone mul def
/Xpoint OK theta cos mul def
/Ypoint OK theta sin mul def
/Zpoint H def
CalculsPointsAfterTransformations
/Xfacette Xabscisse def
/Yfacette Yordonnee def
/Zfacette Zcote def
CalcCoordinates
moveto
% coordonnées du centre de la facette
/OK Hcone H incrementHAUTEUR 2 div add sub TanAngleCone mul def
/Xpoint OK theta incrementANGLE 2 div add cos mul def
/Ypoint OK theta incrementANGLE 2 div add sin mul def
/Zpoint H incrementHAUTEUR 2 div add def
CalculsPointsAfterTransformations
/XcentreFacette Xabscisse def
/YcentreFacette Yordonnee def
/ZcentreFacette Zcote def
% rayon vers point de vue
/RXvue XcentreFacette XpointVue sub def
/RYvue YcentreFacette YpointVue sub def
/RZvue ZcentreFacette ZpointVue sub def
% test de visibilité
/PSfacette nXfacette RXvue mul
nYfacette RYvue mul add
nZfacette RZvue mul add
def
PSfacette 0 le {
theta 1 theta incrementANGLE add {%
/theta1 exch def
/OK Hcone H sub TanAngleCone mul def
/Xpoint OK theta1 cos mul def
/Ypoint OK theta1 sin mul def
/Zpoint H def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H 1 H incrementHAUTEUR add {
/H1 exch def
/OK Hcone H1 sub TanAngleCone mul def
/Xpoint OK theta incrementANGLE add cos mul def
/Ypoint OK theta incrementANGLE add sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
theta incrementANGLE add -1 theta {%
/theta1 exch def
/OK Hcone H incrementHAUTEUR add sub TanAngleCone mul def
/Xpoint OK theta1 cos mul def
/Ypoint OK theta1 sin mul def
/Zpoint H incrementHAUTEUR add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H incrementHAUTEUR add -1 H {
/H1 exch def
/OK Hcone H1 sub TanAngleCone mul def
/Xpoint OK theta cos mul def
/Ypoint OK theta sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
} if
} for
} for
% centre de la base inférieure après transformations
/CxFaceInf CX def
/CyFaceInf CY def
/CzFaceInf CZ def
% modification du 16/11/2002
% /Xpoint CxFaceInf def
% /Ypoint CyFaceInf def
% /Zpoint CzFaceInf def
/Xpoint 0 def
/Ypoint 0 def
/Zpoint 0 def
% fin modification du 16/11/2002
CalculsPointsAfterTransformations
/CxBaseInf Xabscisse def
/CyBaseInf Yordonnee def
/CzBaseInf Zcote def
% centre de la base supérieure avant transformations
/CxFaceSup 0 def
/CyFaceSup 0 def
/CzFaceSup Hcone fracHeight mul def
% Sommet du cone
/Xpoint 0 def
/Ypoint 0 def
/Zpoint Hcone def
CalculsPointsAfterTransformations
/XsommetCone Xabscisse def
/YsommetCone Yordonnee def
/ZsommetCone Zcote def
% Normale extérieure à la base inférieure
/nXBaseInf CxFaceInf XsommetCone sub def
/nYBaseInf CyFaceInf YsommetCone sub def
/nZBaseInf CzFaceInf ZsommetCone sub def
% centre de la base supérieure
/Xpoint CxFaceSup def
/Ypoint CyFaceSup def
/Zpoint CzFaceSup def
CalculsPointsAfterTransformations
/CxBaseSup Xabscisse def
/CyBaseSup Yordonnee def
/CzBaseSup Zcote def
% Normale extérieure à la base supérieure
/nXBaseSup XsommetCone CxFaceSup sub def
/nYBaseSup YsommetCone CyFaceSup sub def
/nZBaseSup ZsommetCone CzFaceSup sub def
% rayon vers point de vue
/RXvueSup CxBaseSup XpointVue sub def
/RYvueSup CyBaseSup YpointVue sub def
/RZvueSup CzBaseSup ZpointVue sub def
/RXvueInf CxBaseInf XpointVue sub def
/RYvueInf CyBaseInf YpointVue sub def
/RZvueInf CzBaseInf ZpointVue sub def
% Visibilité de la base inférieure
/PSbaseInfCone nXBaseInf RXvueInf mul
nYBaseInf RYvueInf mul add
nZBaseInf RZvueInf mul add def
% Visibilité de la base supérieure
/PSbaseSupCone nXBaseSup RXvueSup mul
nYBaseSup RYvueSup mul add
nZBaseSup RZvueSup mul add def
PSbaseInfCone 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/Xpoint Rcone theta cos mul def
/Ypoint Rcone theta sin mul def
/Zpoint 0 def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
%% PSbaseSupCone 0 le {
%% modifié le 31/10/2003
%PSbaseSupCone 0 ge {
PSbaseSupCone 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/OK Hcone 1 fracHeight sub mul TanAngleCone mul def
/Xpoint OK theta cos mul def
/Ypoint OK theta sin mul def
/Zpoint Hcone fracHeight mul def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
} def
/PortionSphere{%
/Xpoint Rsphere psTHETA dTHETA neg add cos mul psPHI dPHI sub cos mul def
/Ypoint Rsphere psTHETA dTHETA neg add sin mul psPHI dPHI sub cos mul def
/Zpoint Rsphere psPHI dPHI sub sin mul def
CalculsPointsAfterTransformations
/xCentreFacette Xabscisse def
/yCentreFacette Yordonnee def
/zCentreFacette Zcote def
% normale à la facette
/nXfacette xCentreFacette CX sub def
/nYfacette yCentreFacette CY sub def
/nZfacette zCentreFacette CZ sub def
% rayon vers point de vue
/RXvue xCentreFacette XpointVue sub def
/RYvue yCentreFacette YpointVue sub def
/RZvue zCentreFacette ZpointVue sub def
% test de visibilité
/PSfacette RXvue nXfacette mul
RYvue nYfacette mul add
RZvue nZfacette mul add
def
PSfacette 0 le {
CalcCoordinates
newpath
moveto
psTHETA dTHETA sub 1 psTHETA dTHETA add {
/Theta exch def
/Xpoint Rsphere Theta cos psPHI dPHI sub cos mul mul def
/Ypoint Rsphere Theta sin psPHI dPHI sub cos mul mul def
/Zpoint Rsphere psPHI dPHI sub sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
psPHI dPHI sub 1 psPHI dPHI add {
/Phi exch def
/Xpoint Rsphere psTHETA dTHETA add cos Phi cos mul mul def
/Ypoint Rsphere psTHETA dTHETA add sin Phi cos mul mul def
/Zpoint Rsphere Phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
psTHETA dTHETA add -1 psTHETA dTHETA sub {
/Theta exch def
/Xpoint Rsphere Theta cos psPHI dPHI add cos mul mul def
/Ypoint Rsphere Theta sin psPHI dPHI add cos mul mul def
/Zpoint Rsphere psPHI dPHI add sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
psPHI dPHI add -1 psPHI dPHI sub {
/Phi exch def
/Xpoint Rsphere psTHETA dTHETA sub cos Phi cos mul mul def
/Ypoint Rsphere psTHETA dTHETA sub sin Phi cos mul mul def
/Zpoint Rsphere Phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
} if
} def
% Dodecahedron : 31 décembre 2003
% datas : Graphisme scientifique R.Dony
% Masson ed. page 240
/Dodecahedron{%
/XA M11 0 mul M12 A 0.607062 mul mul add M13 A mul 0.794655 mul add CX add def
/YA M21 0 mul M22 A 0.607062 mul mul add M23 A mul 0.794655 mul add CY add def
/ZA M31 0 mul M32 A 0.607062 mul mul add M33 A mul 0.794655 mul add CZ add def
/XB M11 A mul -0.5773503 mul M12 A mul 0.1875925 mul add M13 A mul 0.7946545 mul add CX add def
/YB M21 A mul -0.5773503 mul M22 A mul 0.1875925 mul add M23 A mul 0.7946545 mul add CY add def
/ZB M31 A mul -0.5773503 mul M32 A mul 0.1875925 mul add M33 A mul 0.7946545 mul add CZ add def
/XC M11 A mul -0.3568221 mul M12 A mul -0.4911235 mul add M13 A mul 0.7946545 mul add CX add def
/YC M21 A mul -0.3568221 mul M22 A mul -0.4911235 mul add M23 A mul 0.7946545 mul add CY add def
/ZC M31 A mul -0.3568221 mul M32 A mul -0.4911235 mul add M33 A mul 0.7946545 mul add CZ add def
/XD M11 A mul 0.3568221 mul M12 A mul -0.4911235 mul add M13 A mul 0.7946545 mul add CX add def
/YD M21 A mul 0.3568221 mul M22 A mul -0.4911235 mul add M23 A mul 0.7946545 mul add CY add def
/ZD M31 A mul 0.3568221 mul M32 A mul -0.4911235 mul add M33 A mul 0.7946545 mul add CZ add def
/XE M11 A mul 0.5773503 mul M12 A mul 0.1875925 mul add M13 A mul 0.7946545 mul add CX add def
/YE M21 A mul 0.5773503 mul M22 A mul 0.1875925 mul add M23 A mul 0.7946545 mul add CY add def
/ZE M31 A mul 0.5773503 mul M32 A mul 0.1875925 mul add M33 A mul 0.7946545 mul add CZ add def
/XF M11 A mul 0 mul M12 A mul 0.982247 mul add M13 A mul 0.175925 mul add CX add def
/YF M21 A mul 0 mul M22 A mul 0.982247 mul add M23 A mul 0.175925 mul add CY add def
/ZF M31 A mul 0 mul M32 A mul 0.982247 mul add M33 A mul 0.175925 mul add CZ add def
/XG M11 A mul -0.9341724 mul M12 A mul 0.303531 mul add M13 A mul 0.1875925 mul add CX add def
/YG M21 A mul -0.9341724 mul M22 A mul 0.303531 mul add M23 A mul 0.1875925 mul add CY add def
/ZG M31 A mul -0.9341724 mul M32 A mul 0.303531 mul add M33 A mul 0.1875925 mul add CZ add def
/XH M11 A mul -0.5773503 mul M12 A mul -0.7946545 mul add M13 A mul 0.1875925 mul add CX add def
/YH M21 A mul -0.5773503 mul M22 A mul -0.7946545 mul add M23 A mul 0.1875925 mul add CY add def
/ZH M31 A mul -0.5773503 mul M32 A mul -0.7946545 mul add M33 A mul 0.1875925 mul add CZ add def
/XI M11 A mul 0.5773503 mul M12 A mul -0.7946545 mul add M13 A mul 0.1875925 mul add CX add def
/YI M21 A mul 0.5773503 mul M22 A mul -0.7946545 mul add M23 A mul 0.1875925 mul add CY add def
/ZI M31 A mul 0.5773503 mul M32 A mul -0.7946545 mul add M33 A mul 0.1875925 mul add CZ add def
/XJ M11 A mul 0.9341724 mul M12 A mul 0.303531 mul add M13 A mul 0.1875925 mul add CX add def
/YJ M21 A mul 0.9341724 mul M22 A mul 0.303531 mul add M23 A mul 0.1875925 mul add CY add def
/ZJ M31 A mul 0.9341724 mul M32 A mul 0.303531 mul add M33 A mul 0.1875925 mul add CZ add def
/XK M11 A mul 0 mul M12 A mul -0.982247 mul add M13 A mul -0.1875925 mul add CX add def
/YK M21 A mul 0 mul M22 A mul -0.982247 mul add M23 A mul -0.1875925 mul add CY add def
/ZK M31 A mul 0 mul M32 A mul -0.982247 mul add M33 A mul -0.1875925 mul add CZ add def
/XL M11 A mul 0.9341724 mul M12 A mul -0.303531 mul add M13 A mul -0.1875925 mul add CX add def
/YL M21 A mul 0.9341724 mul M22 A mul -0.303531 mul add M23 A mul -0.1875925 mul add CY add def
/ZL M31 A mul 0.9341724 mul M32 A mul -0.303531 mul add M33 A mul -0.1875925 mul add CZ add def
/XM M11 A mul 0.5773503 mul M12 A mul 0.7946545 mul add M13 A mul -0.1875925 mul add CX add def
/YM M21 A mul 0.5773503 mul M22 A mul 0.7946545 mul add M23 A mul -0.1875925 mul add CY add def
/ZM M31 A mul 0.5773503 mul M32 A mul 0.7946545 mul add M33 A mul -0.1875925 mul add CZ add def
/XN M11 A mul -0.5773503 mul M12 A mul 0.7946545 mul add M13 A mul -0.1875925 mul add CX add def
/YN M21 A mul -0.5773503 mul M22 A mul 0.7946545 mul add M23 A mul -0.1875925 mul add CY add def
/ZN M31 A mul -0.5773503 mul M32 A mul 0.7946545 mul add M33 A mul -0.1875925 mul add CZ add def
/XO M11 A mul -0.9341724 mul M12 A mul -0.303531 mul add M13 A mul -0.1875925 mul add CX add def
/YO M21 A mul -0.9341724 mul M22 A mul -0.303531 mul add M23 A mul -0.1875925 mul add CY add def
/ZO M31 A mul -0.9341724 mul M32 A mul -0.303531 mul add M33 A mul -0.1875925 mul add CZ add def
/XP M11 A mul -0.5773503 mul M12 A mul -0.1875925 mul add M13 A mul -0.7946545 mul add CX add def
/YP M21 A mul -0.5773503 mul M22 A mul -0.1875925 mul add M23 A mul -0.7946545 mul add CY add def
/ZP M31 A mul -0.5773503 mul M32 A mul -0.1875925 mul add M33 A mul -0.7946545 mul add CZ add def
/XQ M11 A mul -0.3568221 mul M12 A mul 0.4911235 mul add M13 A mul -0.7946545 mul add CX add def
/YQ M21 A mul -0.3568221 mul M22 A mul 0.4911235 mul add M23 A mul -0.7946545 mul add CY add def
/ZQ M31 A mul -0.3568221 mul M32 A mul 0.4911235 mul add M33 A mul -0.7946545 mul add CZ add def
/XR M11 A mul 0.3568221 mul M12 A mul 0.4911235 mul add M13 A mul -0.7946545 mul add CX add def
/YR M21 A mul 0.3568221 mul M22 A mul 0.4911235 mul add M23 A mul -0.7946545 mul add CY add def
/ZR M31 A mul 0.3568221 mul M32 A mul 0.4911235 mul add M33 A mul -0.7946545 mul add CZ add def
/XS M11 A mul 0.5773503 mul M12 A mul -0.1875925 mul add M13 A mul -0.7946545 mul add CX add def
/YS M21 A mul 0.5773503 mul M22 A mul -0.1875925 mul add M23 A mul -0.7946545 mul add CY add def
/ZS M31 A mul 0.5773503 mul M32 A mul -0.1875925 mul add M33 A mul -0.7946545 mul add CZ add def
/XT M11 0 mul M12 A -0.607062 mul mul add M13 A mul -0.794655 mul add CX add def
/YT M21 0 mul M22 A -0.607062 mul mul add M23 A mul -0.794655 mul add CY add def
/ZT M31 0 mul M32 A -0.607062 mul mul add M33 A mul -0.794655 mul add CZ add def
% Centres des faces : condition de visibilité
% FACE 1 pentagone régulier ABCDE
% OC1
/XC1 XA XB add XC add XD add XE add 5 div def
/YC1 YA YB add YC add YD add YE add 5 div def
/ZC1 ZA ZB add ZC add ZD add ZE add 5 div def
% Normale à la face 1
/NX1 XC1 CX sub def
/NY1 YC1 CY sub def
/NZ1 ZC1 CZ sub def
% rayon vers point de vue
/RXvue1 XC1 XpointVue sub def
/RYvue1 YC1 YpointVue sub def
/RZvue1 ZC1 ZpointVue sub def
% produit scalaire
/PS1 RXvue1 NX1 mul RYvue1 NY1 mul add RZvue1 NZ1 mul add def
% FACE 2 pentagone régulier EDILJ
% OC2
/XC2 XE XD add XI add XL add XJ add 5 div def
/YC2 YE YD add YI add YL add YJ add 5 div def
/ZC2 ZE ZD add ZI add ZL add ZJ add 5 div def
% Normale à la face 2
/NX2 XC2 CX sub def
/NY2 YC2 CY sub def
/NZ2 ZC2 CZ sub def
% rayon vers point de vue
/RXvue2 XC2 XpointVue sub def
/RYvue2 YC2 YpointVue sub def
/RZvue2 ZC2 ZpointVue sub def
% produit scalaire
/PS2 RXvue2 NX2 mul RYvue2 NY2 mul add RZvue2 NZ2 mul add def
% FACE 3 pentagone régulier EJMFA
% OC3
/XC3 XE XJ add XM add XF add XA add 5 div def
/YC3 YE YJ add YM add YF add YA add 5 div def
/ZC3 ZE ZJ add ZM add ZF add ZA add 5 div def
% Normale à la face 2
/NX3 XC3 CX sub def
/NY3 YC3 CY sub def
/NZ3 ZC3 CZ sub def
% rayon vers point de vue
/RXvue3 XC3 XpointVue sub def
/RYvue3 YC3 YpointVue sub def
/RZvue3 ZC3 ZpointVue sub def
% produit scalaire
/PS3 RXvue3 NX3 mul RYvue3 NY3 mul add RZvue3 NZ3 mul add def
% FACE 4 pentagone régulier AFNGB
% OC4
/XC4 XA XF add XN add XG add XB add 5 div def
/YC4 YA YF add YN add YG add YB add 5 div def
/ZC4 ZA ZF add ZN add ZG add ZB add 5 div def
% Normale à la face 4
/NX4 XC4 CX sub def
/NY4 YC4 CY sub def
/NZ4 ZC4 CZ sub def
% rayon vers point de vue
/RXvue4 XC4 XpointVue sub def
/RYvue4 YC4 YpointVue sub def
/RZvue4 ZC4 ZpointVue sub def
% produit scalaire
/PS4 RXvue4 NX4 mul RYvue4 NY4 mul add RZvue4 NZ4 mul add def
% FACE 5 pentagone régulier BGOHC
% OC5
/XC5 XB XG add XO add XH add XC add 5 div def
/YC5 YB YG add YO add YH add YC add 5 div def
/ZC5 ZB ZG add ZO add ZH add ZC add 5 div def
% Normale à la face 5
/NX5 XC5 CX sub def
/NY5 YC5 CY sub def
/NZ5 ZC5 CZ sub def
% rayon vers point de vue
/RXvue5 XC5 XpointVue sub def
/RYvue5 YC5 YpointVue sub def
/RZvue5 ZC5 ZpointVue sub def
% produit scalaire
/PS5 RXvue5 NX5 mul RYvue5 NY5 mul add RZvue5 NZ5 mul add def
% FACE 6 pentagone régulier CHKID
% OC6
/XC6 XC XH add XK add XI add XD add 5 div def
/YC6 YC YH add YK add YI add YD add 5 div def
/ZC6 ZC ZH add ZK add ZI add ZD add 5 div def
% Normale à la face 6
/NX6 XC6 CX sub def
/NY6 YC6 CY sub def
/NZ6 ZC6 CZ sub def
% rayon vers point de vue
/RXvue6 XC6 XpointVue sub def
/RYvue6 YC6 YpointVue sub def
/RZvue6 ZC6 ZpointVue sub def
% produit scalaire
/PS6 RXvue6 NX6 mul RYvue6 NY6 mul add RZvue6 NZ6 mul add def
% FACE 7 pentagone régulier KTSLI
% OC7
/XC7 XK XT add XS add XL add XI add 5 div def
/YC7 YK YT add YS add YL add YI add 5 div def
/ZC7 ZK ZT add ZS add ZL add ZI add 5 div def
% Normale à la face 7
/NX7 XC7 CX sub def
/NY7 YC7 CY sub def
/NZ7 ZC7 CZ sub def
% rayon vers point de vue
/RXvue7 XC7 XpointVue sub def
/RYvue7 YC7 YpointVue sub def
/RZvue7 ZC7 ZpointVue sub def
% produit scalaire
/PS7 RXvue7 NX7 mul RYvue7 NY7 mul add RZvue7 NZ7 mul add def
% FACE 8 pentagone régulier LSRMJ
% OC8
/XC8 XL XS add XR add XM add XJ add 5 div def
/YC8 YL YS add YR add YM add YJ add 5 div def
/ZC8 ZL ZS add ZR add ZM add ZJ add 5 div def
% Normale à la face 8
/NX8 XC8 CX sub def
/NY8 YC8 CY sub def
/NZ8 ZC8 CZ sub def
% rayon vers point de vue
/RXvue8 XC8 XpointVue sub def
/RYvue8 YC8 YpointVue sub def
/RZvue8 ZC8 ZpointVue sub def
% produit scalaire
/PS8 RXvue8 NX8 mul RYvue8 NY8 mul add RZvue8 NZ8 mul add def
% FACE 9 pentagone régulier MRQNF
% OC9
/XC9 XM XR add XQ add XN add XF add 5 div def
/YC9 YM YR add YQ add YN add YF add 5 div def
/ZC9 ZM ZR add ZQ add ZN add ZF add 5 div def
% Normale à la face 6
/NX9 XC9 CX sub def
/NY9 YC9 CY sub def
/NZ9 ZC9 CZ sub def
% rayon vers point de vue
/RXvue9 XC9 XpointVue sub def
/RYvue9 YC9 YpointVue sub def
/RZvue9 ZC9 ZpointVue sub def
% produit scalaire
/PS9 RXvue9 NX9 mul RYvue9 NY9 mul add RZvue9 NZ9 mul add def
% FACE 10 pentagone régulier NQPOG
% OC10
/XC10 XN XQ add XP add XO add XG add 5 div def
/YC10 YN YQ add YP add YO add YG add 5 div def
/ZC10 ZN ZQ add ZP add ZO add ZG add 5 div def
% Normale à la face 6
/NX10 XC10 CX sub def
/NY10 YC10 CY sub def
/NZ10 ZC10 CZ sub def
% rayon vers point de vue
/RXvue10 XC10 XpointVue sub def
/RYvue10 YC10 YpointVue sub def
/RZvue10 ZC10 ZpointVue sub def
% produit scalaire
/PS10 RXvue10 NX10 mul RYvue10 NY10 mul add RZvue10 NZ10 mul add def
% FACE 11 pentagone régulier OPTKH
% OC11
/XC11 XO XP add XT add XK add XH add 5 div def
/YC11 YO YP add YT add YK add YH add 5 div def
/ZC11 ZO ZP add ZT add ZK add ZH add 5 div def
% Normale à la face 11
/NX11 XC11 CX sub def
/NY11 YC11 CY sub def
/NZ11 ZC11 CZ sub def
% rayon vers point de vue
/RXvue11 XC11 XpointVue sub def
/RYvue11 YC11 YpointVue sub def
/RZvue11 ZC11 ZpointVue sub def
% produit scalaire
/PS11 RXvue11 NX11 mul RYvue11 NY11 mul add RZvue11 NZ11 mul add def
% FACE 12 pentagone régulier PQRST
% OC12
/XC12 XP XQ add XR add XS add XT add 5 div def
/YC12 YP YQ add YR add YS add YT add 5 div def
/ZC12 ZP ZQ add ZR add ZS add ZT add 5 div def
% Normale à la face 12
/NX12 XC12 CX sub def
/NY12 YC12 CY sub def
/NZ12 ZC12 CZ sub def
% rayon vers point de vue
/RXvue12 XC12 XpointVue sub def
/RYvue12 YC12 YpointVue sub def
/RZvue12 ZC12 ZpointVue sub def
% produit scalaire
/PS12 RXvue12 NX12 mul RYvue12 NY12 mul add RZvue12 NZ12 mul add def
% faceOne ABDCE
PS1 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YA def
/Zcote ZA def
/Xabscisse XA def
CalcCoordinates
moveto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
closepath
gsave
0.05 0.1 0.1 0 setcmykcolor
fill
grestore
stroke
} if
% face2 EDILJ
PS2 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YE def
/Zcote ZE def
/Xabscisse XE def
CalcCoordinates
moveto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZI def
/Xabscisse XI def
/Yordonnee YI def
CalcCoordinates
lineto
/Zcote ZL def
/Xabscisse XL def
/Yordonnee YL def
CalcCoordinates
lineto
/Zcote ZJ def
/Xabscisse XJ def
/Yordonnee YJ def
CalcCoordinates
lineto
closepath
gsave
0.05 0.15 0.15 0 setcmykcolor
fill
grestore
stroke
} if
% face3 EJMFA
PS3 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YE def
/Zcote ZE def
/Xabscisse XE def
CalcCoordinates
moveto
/Zcote ZJ def
/Xabscisse XJ def
/Yordonnee YJ def
CalcCoordinates
lineto
/Zcote ZM def
/Xabscisse XM def
/Yordonnee YM def
CalcCoordinates
lineto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
closepath
gsave
0.05 0.2 0.2 0 setcmykcolor
fill
grestore
stroke
} if
% face4 AFNGB
PS4 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YA def
/Zcote ZA def
/Xabscisse XA def
CalcCoordinates
moveto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZN def
/Xabscisse XN def
/Yordonnee YN def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
closepath
gsave
0.05 0.25 0.25 0 setcmykcolor
fill
grestore
stroke
} if
% face5 BGOHC
PS5 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YB def
/Zcote ZB def
/Xabscisse XB def
CalcCoordinates
moveto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZO def
/Xabscisse XO def
/Yordonnee YO def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
closepath
gsave
0.05 0.3 0.3 0 setcmykcolor
fill
grestore
stroke
} if
% face6 CHKID
PS6 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YC def
/Zcote ZC def
/Xabscisse XC def
CalcCoordinates
moveto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZK def
/Xabscisse XK def
/Yordonnee YK def
CalcCoordinates
lineto
/Zcote ZI def
/Xabscisse XI def
/Yordonnee YI def
CalcCoordinates
lineto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
closepath
gsave
0.05 0.35 0.35 0 setcmykcolor
fill
grestore
stroke
} if
% face7 KTSLI
PS7 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YK def
/Zcote ZK def
/Xabscisse XK def
CalcCoordinates
moveto
/Zcote ZT def
/Xabscisse XT def
/Yordonnee YT def
CalcCoordinates
lineto
/Zcote ZS def
/Xabscisse XS def
/Yordonnee YS def
CalcCoordinates
lineto
/Zcote ZL def
/Xabscisse XL def
/Yordonnee YL def
CalcCoordinates
lineto
/Zcote ZI def
/Xabscisse XI def
/Yordonnee YI def
CalcCoordinates
lineto
closepath
gsave
0.05 0.4 0.4 0 setcmykcolor
fill
grestore
stroke
} if
% face8 LSRMJ
PS8 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YL def
/Zcote ZL def
/Xabscisse XL def
CalcCoordinates
moveto
/Zcote ZS def
/Xabscisse XS def
/Yordonnee YS def
CalcCoordinates
lineto
/Zcote ZR def
/Xabscisse XR def
/Yordonnee YR def
CalcCoordinates
lineto
/Zcote ZM def
/Xabscisse XM def
/Yordonnee YM def
CalcCoordinates
lineto
/Zcote ZJ def
/Xabscisse XJ def
/Yordonnee YJ def
CalcCoordinates
lineto
closepath
gsave
0.05 0.45 0.45 0 setcmykcolor
fill
grestore
stroke
} if
% face9 MRQNF
PS9 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YM def
/Zcote ZM def
/Xabscisse XM def
CalcCoordinates
moveto
/Zcote ZR def
/Xabscisse XR def
/Yordonnee YR def
CalcCoordinates
lineto
/Zcote ZQ def
/Xabscisse XQ def
/Yordonnee YQ def
CalcCoordinates
lineto
/Zcote ZN def
/Xabscisse XN def
/Yordonnee YN def
CalcCoordinates
lineto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
closepath
gsave
0.05 0.5 0.5 0 setcmykcolor
fill
grestore
stroke
} if
% face10 NQPOG
PS10 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YN def
/Zcote ZN def
/Xabscisse XN def
CalcCoordinates
moveto
/Zcote ZQ def
/Xabscisse XQ def
/Yordonnee YQ def
CalcCoordinates
lineto
/Zcote ZP def
/Xabscisse XP def
/Yordonnee YP def
CalcCoordinates
lineto
/Zcote ZO def
/Xabscisse XO def
/Yordonnee YO def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
closepath
gsave
0.05 0.55 0.55 0 setcmykcolor
fill
grestore
stroke
} if
% face11 OPTKH
PS11 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YO def
/Zcote ZO def
/Xabscisse XO def
CalcCoordinates
moveto
/Zcote ZP def
/Xabscisse XP def
/Yordonnee YP def
CalcCoordinates
lineto
/Zcote ZT def
/Xabscisse XT def
/Yordonnee YT def
CalcCoordinates
lineto
/Zcote ZK def
/Xabscisse XK def
/Yordonnee YK def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
closepath
gsave
0.05 0.6 0.6 0 setcmykcolor
fill
grestore
stroke
} if
% face12 PQRST
PS12 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YP def
/Zcote ZP def
/Xabscisse XP def
CalcCoordinates
moveto
/Zcote ZQ def
/Xabscisse XQ def
/Yordonnee YQ def
CalcCoordinates
lineto
/Zcote ZR def
/Xabscisse XR def
/Yordonnee YR def
CalcCoordinates
lineto
/Zcote ZS def
/Xabscisse XS def
/Yordonnee YS def
CalcCoordinates
lineto
/Zcote ZT def
/Xabscisse XT def
/Yordonnee YT def
CalcCoordinates
lineto
closepath
gsave
0.05 0.65 0.65 0 setcmykcolor
fill
grestore
stroke
} if
}
def
end
|