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 almost 7 years ago
Hate to be the spoil sport, but each face should be an equilateral triangle, not a hexagon.
zenguyuno almost 7 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 almost 7 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 almost 7 years ago
A Bucky-snowball? A snow-Buckyball?
Milady Meg almost 7 years ago
I have to say icosahedron carefully or it comes out isocahedron. Bad bad bad for a language geek.
ron almost 7 years ago
“Master” is about to learn about sublimation.
Richard S Russell Premium Member almost 7 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 almost 7 years ago
I say! Rather clever of Young Master!
Good on you, Sedgwick. Pater will be pleased, should Jarvis inform him….