Category:Green and violet skeletons of regular polyhedra
The images in this set show the regular polyhedra and their Petrie polygons.
Solids with a horizontal edge in front are shown in violet. Those with a vertical edge in front in green.
Those shown below have the same edge radius, chosen so that the biggest solid still fits in the image. There are also images with bigger midspheres, but not for all solids.
This category is partitioned into Green and violet Platonic skeletons and Green and violet Kepler-Poinsot skeletons.
These images have been raytraced with POV-Ray, and the source code can be found here: https://github.com/watchduck/polyhedron_skeletons
| dual compounds | ||||
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| Platonic | Kepler–Poinsot | |||
| tetrahedron tetrahedron |
cube octahedron |
dodecahedron icosahedron |
stell. dodecahedron great dodecahedron |
great icosahedron great stell. dodecahedron |
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| solids with icosahedral symmetry | ||
|---|---|---|
 icosahedron |
 great dodecahedron |
 great stellated dodecahedron |
 dodecahedron |
 stellated dodecahedron |
 great icosahedron |
| related sets | |||
|---|---|---|---|
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Skeletons of rhombic triacontahedra (mostly blue) contains the hulls of the icosahedral compounds. | |||
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Stellated dodecahedron cells (red, magenta, blue, green, yellow) shows sD and gsD in a similar way, but as augmentations. | |||
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For the Platonic solids violet and green correspond to red and yellow in Platonic solids with direction colors. For the K-P solids such a correspondence is not possible, because gD and sD have both red faces. See Kepler-Poinsot solids with direction colors. The 4-fold view of cube and octahedron differs, so that the Petrie polygon can be shown symmetrically: | |||
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Small in great rhombi (renderings of Archimedean solids) uses the same colors. | |||
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Pages in category "Category:Green and violet skeletons of regular polyhedra"
- Category:Green and violet skeletons of regular polyhedra; by convexity
- Category:Green and violet skeletons of regular polyhedra; by midradius
- Category:Green and violet skeletons of regular polyhedra; by name
- Category:Green and violet skeletons of regular polyhedra; by style
- Category:Green and violet skeletons of regular polyhedra; compounds
- Category:Green and violet skeletons of regular polyhedra; with midsphere
- Category:Green and violet skeletons of regular polyhedra; with Petrie polygon
- File:Relationship among regular star polyhedra (green and violet).png
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