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magwigan

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Last seen: 9 years 35 weeks ago

Joined: 30/03/2015

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Snub Dodecahedron

03/04/2015 - 08:47:15

Snub Dodecahedron

Submitted by magwigan on Fri, 03/04/2015 - 08:47

I have created a snub dodecahedron. The snub dodecahedron is an Archimedean solid. It has 92 regular faces, 80 equilateral triangles and 12 regular pentagons. It has 150 edges and 60 vertices. It has two dihedral angles:

Between two triangular faces: 164.1753° (3-3)
Between triangular and pentagonal faces: 152.9314° (3-5)

Using this information and the logo programming tool I was able to create a 3D model of a snub dodecahedron, as seen below.

Below is my Logo program.

HOME CLEAN RESET
FACE
PCOFF
 
TO triangle_right
PD
REPEAT 3 [ FD 1 RT 120 ]
PU
END
 
TO triangle_left
PD
REPEAT 3 [ FD 1 LT 120 ]
PU
END
 
TO pentagon_right
PD
REPEAT 5 [ FD 1 RT 72 ]
PU
END
 
TO pentagon_left
PD
REPEAT 5 [ FD 1 LT 72 ]
END
pentagon_right
 
TL 180-152.9314
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
FD 1
LT 120
TR 180-152.9314
pentagon_right
TL 180-152.9314
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
FD 1
RT 180
TL 180-164.1753
LT 60
TL 180-164.1753
LT 60
TL 180-152.9314
pentagon_left
FD 1
TR 180-152.9314
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
TR 180-164.1753
FD 1
RT 120
TL 180-152.9314
pentagon_left
TR 180-152.9314
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
TR 180-164.1753
FD 1
RT 120
TL 180-152.9314
pentagon_left
FD 1
TR 180-152.9314
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
TR 180-164.1753
FD 1
RT 120
TL 180-152.9314
pentagon_left
TR 180-152.9314
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
TR 180-164.1753
FD 1
RT 120
TL 180-152.9314
FD 1
LT 72
TR 180-152.9314
RT 60
FD 1
TR 180-164.1753
RT 120
TL 180-152.9314
pentagon_left
FD 1
LT 72
FD 1
TR 180-152.9314
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
FD 1
TR 180-164.1763
RT 120
TL 180-152.9314
pentagon_left
FD 1
TR 180-152.9314
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
FD 1
RT 180
TL 180-164.1753
LT 60
TL 180-152.9314
pentagon_left
FD 1
TR 180-152.9314
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
FD 1
RT 180
TL 180-164.1753
LT 60
TL 180-152.9314
pentagon_left
FD 1
TR 180-152.9314
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
FD 1
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
FD 1
RT 180
TL 180-164.1753
LT 60
TL 180-152.9314
pentagon_left
FD 1
TR 180-152.9314
RT 120
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
LT 60
TL 180-164.1753
triangle_left
TR 180-164.1753
FD 1
RT 120
TL 180-152.9314
pentagon_left

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