NUMERICAL SPACE / POLYHEDRA

- As I wrote before, M. C. Escher was interested in polyhedra and left many works using them. So I can't avoid polyhedra which are so charming to this site CYBERBUST / NUMERICAL SPACE.

A book describes that the kinks of polyhedra are limited, 5 Platonic polyhedra which are formed with single sort of regular polygon, and 13 Archimedian polyhedra which are formed with several sorts of regular polygons. But I can't accept this because polyhedra are so complex and so various. I tried to show some polyhedra besides them on this page. I enjoyed making polyhedra by POV like a quiz having many stages.

Recently I found a site by Mr. Charly TANAKA which shows various ways of enjoying polyhedra. Really we can play polyhedra as much as we like.

The works on this page are the last present in this millennium. A happy comming millennium to you, 2001!

- These are so said Platonic polyhedra and 13 Archimedian polyhedra.
The 5 polyhedra on the uppest line are Platonic. Scene file : lpplhfrm.txt |

- Seeing this upper image, you may want to categorize them. Of course I did it and got this left image.
I got a family from hexahedron to octahedron which can be expressed by one function. Scene file : lpplhmd4.txt |

- Same with upper hexahedron family, I got another one family from dodecahedron to icosahedron which can be expressed by one function.
Scene file : lpplhmd5.txt |

- There are many other categorizing ways. I show two ways among them and these ways show many polyhedra besides Platonic and Archimedian. I show polyhedra with from triangle to heptagon and triangles or squares. You can see that in this way all polygon can form polyhedra with triangles or squares. But they are similar to drums and not so beautiful.
Scene file : lpplhmdn.txt |

- Plato said that all shapes shall be come into polyhedra. So I composed some shapes with polyhedra. I connected polyhedra at their pentagon surfaces one by one to a chain and got the left image.
Scene file : lpplhchn.txt |

- Like upper I made a radiant from polyhedra by connecting pentagon surfaces with dodecahedra.
Scene file : lpplhrad.txt |

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