Truncated Icosidodecahedron
The truncated icosidodecahedron is made up of 30 square faces, 20 regular hexagonal faces, 12 regular decagonal faces, 120 vertices and 180 edges. The dihedral angles for this Archimedean solid are as follows:
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between a hexagonal face and a decagonal face: 142.62 degrees (6-10)
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between a square face and a decagonal face: 148.28 degrees (4-10)
- between a square face and a hexagonal face: 159.095 degrees (4-6)
This shape was made entirely using logo. The code is as follows:
CS RESET FACE PCOFF ; variables MAKE "a610 142.62 ; dihedral angle 6-10 MAKE "a410 148.28 ; dihedral angle 4-10 MAKE "a46 159.095 ; dihedral angle 4-6 ; methods TO polygon :side PD REPEAT :side [FD 1 RT 360/:side] PU END TO square PD SETMAT 0 5 TL 180 + :a410 polygon 4 TR 180 + :a410 PU END TO hexagon PD SETMAT 0 25 TR 180 - :a610 polygon 6 TL 180 - :a610 PU END TO decagon PD SETMAT 0 9 polygon 10 PU END TO dec_move FD 1 LT 36 END TO dec_move_r FD 1 RT 36 END TO reposition RT 90 RD 180 - :a410 FD 1 RD 180 - :a410 LT 90 ; repositioning turtle decagon END TO ring :faces REPEAT :faces [square dec_move hexagon dec_move] END ; main construction CLEAN HOME FACE PCOFF decagon RT 180 ; orients turtle in correct direction RU 180 ; ring 5 REPEAT 2 [ RT 90 RD 180 - :a410 FD 1 RD 180 - :a410 LT 90 ; repositioning turtle decagon RT 180 - 36 FD 1 LT 36 ring 3 square] RT 180 + 36 REPEAT 2 [dec_move_r] FD 1 LT 90 - 36 RD 180 - :a410 FD 1 RD 180 - :a410 LT 90 - 36 decagon RT 180 - 36 REPEAT 2 [dec_move] ring 3 square reposition RT 180 - 36 dec_move ring 1 square reposition RT 180 - 36 dec_move ring 2 square reposition RT 180 - 36 dec_move ring 1 square reposition RT 180 - 36 dec_move ring 2 square reposition RT 180 - 36 dec_move square reposition RT 180 - 36 dec_move ring 1 square reposition REPEAT 2 [dec_move_r] RT 180 BK 1 ring 1 RT 90 RD 180 - :a410 FD 1 RD 180 - :a410 RT 90 - 36 dec_move square reposition
Below is the 3D model.
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Comments
Bravo...
Wow, this is a very good looking "truncated" "icosidodecahedron". The name is facinating. I wonder what the name "icosidodecaheron" means and where it came from. Is it related to any Platonic solids?
I guess that you will be putting up the 3D model soon... can't wait to rotate the 3D model and even walk into the "icosidodecahedron".