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Rectified 9-cubes
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In nine-dimensional geometry, a rectified 9-cube is a convex uniform 9-polytope, being a rectification of the regular 9-cube.
There are 9 rectifications of the 9-cube. The zeroth is the 9-cube itself, and the 8th is the dual 9-orthoplex. Vertices of the rectified 9-cube are located at the edge-centers of the 9-orthoplex. Vertices of the birectified 9-cube are located in the square face centers of the 9-cube. Vertices of the trirectified 9-orthoplex are located in the cube cell centers of the 9-cube. Vertices of the quadrirectified 9-cube are located in the tesseract centers of the 9-cube.
These polytopes are part of a family 511 uniform 9-polytopes with BC9 symmetry.
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Rectified 9-cube
Alternate names
- Rectified enneract (Acronym ren) (Jonathan Bowers)[1]
Images
Birectified 9-cube
Alternate names
- Birectified enneract (Acronym barn) (Jonathan Bowers)[2]
Images
Trirectified 9-cube
Alternate names
- Trirectified enneract (Acronym tarn) (Jonathan Bowers)[3]
Images
Quadrirectified 9-cube
Alternate names
- Quadrirectified enneract (Acronym nav) (Jonathan Bowers)[4]
Images
Notes
References
External links
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