The icosahedron is the last of the 5 Platonic regular solids:
• 4-sided tetrahedron (triangles)
• 6-sided cube (squares)
• 8-sided octahedron (triangles)
• 12-sided dodecahedron (pentagons)
• 20-sided icosahedron (triangles)
It’s been demonstrated mathematically that this roster, known since the time of the ancient Greeks (thus the name “Platonic”) is an exhaustive list. There are no others.
No solid with faces of different sizes/shapes qualifies as a “regular” solid. Nothing with 24 faces qualifies as an icosahedron of any sort, since by definition those are 20-sided objects.
“Games are very educational. Scrabble teaches spelling, Monopoly teaches cash-flow management, and D&D teaches us to loot the bodies.” —Steve Jackson, game entrepreneur, Dangerous Games, p. 99. Steve neglected to mention that D&D also teaches us about polyhedral dice.
Plumbob Wilson about 6 years ago
Hate to be the spoil sport, but each face should be an equilateral triangle, not a hexagon.
zenguyuno about 6 years ago
I am impressed! That would be difficult to make. (But it’s not drawn right, some of the faces should be pentagons.)
Sephten about 6 years ago
Very tricky to draw! I haven’t done one since the eighties — too much trouble, and nobody appreciates your hard work!
pschearer Premium Member about 6 years ago
A Bucky-snowball? A snow-Buckyball?
Meg: All Seriousness Aside about 6 years ago
I have to say icosahedron carefully or it comes out isocahedron. Bad bad bad for a language geek.
ron about 6 years ago
“Master” is about to learn about sublimation.
Richard S Russell Premium Member about 6 years ago
The icosahedron is the last of the 5 Platonic regular solids:
• 4-sided tetrahedron (triangles)
• 6-sided cube (squares)
• 8-sided octahedron (triangles)
• 12-sided dodecahedron (pentagons)
• 20-sided icosahedron (triangles)
It’s been demonstrated mathematically that this roster, known since the time of the ancient Greeks (thus the name “Platonic”) is an exhaustive list. There are no others.
No solid with faces of different sizes/shapes qualifies as a “regular” solid. Nothing with 24 faces qualifies as an icosahedron of any sort, since by definition those are 20-sided objects.
“Games are very educational. Scrabble teaches spelling, Monopoly teaches cash-flow management, and D&D teaches us to loot the bodies.” —Steve Jackson, game entrepreneur, Dangerous Games, p. 99. Steve neglected to mention that D&D also teaches us about polyhedral dice.
Sisyphos about 6 years ago
I say! Rather clever of Young Master!
Good on you, Sedgwick. Pater will be pleased, should Jarvis inform him….