One famous ray-traced image (by Jim Arvo and Dave Kirk, from their 1987 SIGGRAPH paper "Fast Ray Tracing by Ray Classification") shows six stone columns, five of which are surmounted by the platonic solids (tetrahedron, cube, octahedron, dodecahedron, icosahedron) – and the sixth column has a teapot8. The image is titled "The Six Platonic Solids" – which has led some people to call the teapot a "Teapotahedron". This image appeared on the covers of several books and journals. Jim Blinn (in one of his "Project MATHEMATICS!" videos) proves an amusing (but trivial) version of the Pythagorean theorem: Construct a (2D) teapot on each side of a right triangle and the area of the teapot on the hypotenuse is equal to the sum of the areas of the teapots on the other two sides. -Wikipedia

fbharjo commented on the word Teapotahedron

Not to mention the Wyoming cousin 'tempestahedron'

September 6, 2010

bilby commented on the word Teapotahedron

An exemplar of the shortandstoutahedron family.

September 6, 2010

fbharjo commented on the word Teapotahedron

teapotahedron - a computer graphic joking term:

One famous ray-traced image (by Jim Arvo and Dave Kirk, from their 1987 SIGGRAPH paper "Fast Ray Tracing by Ray Classification") shows six stone columns, five of which are surmounted by the platonic solids (tetrahedron, cube, octahedron, dodecahedron, icosahedron) – and the sixth column has a teapot8. The image is titled "The Six Platonic Solids" – which has led some people to call the teapot a "Teapotahedron". This image appeared on the covers of several books and journals. Jim Blinn (in one of his "Project MATHEMATICS!" videos) proves an amusing (but trivial) version of the Pythagorean theorem: Construct a (2D) teapot on each side of a right triangle and the area of the teapot on the hypotenuse is equal to the sum of the areas of the teapots on the other two sides. -

WikipediaSeptember 5, 2010