The ultimate regular aggrandizement of the hecatonicosachoron is constructed from the great grand hecatonicosachoron {5,5/2,3} by stellating its already huge great-dodecahedral cells into relatively enormous great stellated dodecahedra. The resulting figure, which has 600 vertices instead of the 120...

The terms “stellated,” “great,” and “grand” in the names of the regular star-polychora are commutative : It doesn’t matter in what order they are applied. In the context of the regular star-polytopes (which exist in two, three, and four dimensions), “stellated” refers to the edge-stellation of a reg...

The next regular aggrandizement of the hecatonicosachoron arises by "stellation" (edge-stellation) of the grand hecatonicosachoron, so it is the “stellated grand hecatonicosachoron” or, in keeping with the tradition established by Arthur Cayley in naming the Kepler-Poinsot polyhedra, the grand stell...

Unfortunately, Stella4D gets lost when I try to construct the vertex/cell-regular compounds of ten great stellated hecatonicosachora {5/2,3,5} and ten grand hecatonicosachora {5,3,5/2} from their vertex figures. Perhaps not coincidentally, these two polychora are each other's duals. These would have...

For me, there are "edit" buttons next to the "quote" button in the top right corner of each post. As admin I see these on every post, but I thought other users would still be able to see these on their own posts, provided they are logged in. Is this not the case?. Ah, yes. I see them. Didn't notice...

robertw wrote:Just for your info, you can edit your old posts to correct errors.

Cool, but how? I don't see any "edit your post" buttons.

Incidentally, forum visitors may download for their own use any of my pictures by simply right-clicking on them and then left-clicking on the "save picture as" menu item. They're pretty snazzy when printed on glossy photoprint stock with an inkjet printer.

here is the 0.555 section of the uniform polychoron dual of the E aggrandizement: http://members.aol.com/Dinogeorge/Ehecatonicosachoronduala.gif The uniform polychoron is color-coded to the vertex figure, but the E aggrandizement I left monochromatic. Oops! The color-coding was backward. I have put...

In three-space, to obtain an icosahedron from a great dodecahedron’s surhedron, we simply fill up its 20 equit dimples with 20 flattened equit pyramids. These are not stellachunks of the great dodecahedron, because the “top” faces, opposite the low apex that sinks into the dimples, do not lie in the...

Over the years, a kind of unofficial terminology has evolved among people who play with polytopes. For example, in increasing order of dimensionality, there are four venerable names for the different kinds of polytope elements: vertex (plural: vertices), edge, face, and cell. This series has recentl...

Dinogeorge wrote:And so on. Bruce Chilton has recently found all 57 stellalayers (A through BL) of the hecatonicosachoron.

Make that A through BE. Sorry about the typo!

The great hecatonicosachoron , Schlaefli symbol {5,5/2,5}, is only the second of the nonillions of aggrandizements of the regular hecatonicosachoron. Just as the stellated hecatonicosachoron may be modeled by sticking 120 dodecahedral pyramids onto the hecatonicosachoron’s dodecahedral cells, so the...

After typing this long post twice and completely destroying it twice , just because I accidentally happened to hit a wrong key at the website, I’ve learned my lesson and recomposed it using my word processor . That way I’ll at least have a copy to work on instead of losing the whole thing outright i...

Here's a picture made from another of the cell-regular 4D compounds, the less complicated conjugate of the compound of five great grand stellated hecatonicosachora posted in a previous reply. Its five components are identical ordinary convex regular hecatonicosachora (120-cells), so the compound has...

Here are a shot and a closeup of a 3D vertex-first (same as cell-first) section of the chiral compound of five great grand hecatonicosachora, {5,5/2,3}. The figure has the 600 corners of a hecatonicosachoron (120-cell), and a total of 600 great-dodecahedral cells. The vertex figure is a small stella...