Template:Convex prismatic prisms

From blackwiki
Jump to navigation Jump to search

In 4-dimensional geometry, there is an infinite sequence of uniform 4-p duoprisms: (p≥3), with Coxeter diagrams CDel node 1.pngCDel p.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png, containing p cubes and 4 p-gonal prism cells. The second polytope in the series is a lower symmetry of the regular tesseract, {4}×{4}.

Convex p-gonal prismatic prisms
Name {3}×{4} {4}×{4} {5}×{4} {6}×{4} {7}×{4} {8}×{4} {p}×{4}
Coxeter
diagrams
CDel node 1.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 4.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 6.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 7.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 8.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel p.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
Image 3-4 duoprism.png
4-3 duoprism.png
4-4 duoprism.png 4-5 duoprism.png
5-4 duoprism.png
4-6 duoprism.png
6-4 duoprism.png
4-7 duoprism.png
7-4 duoprism.png
4-8 duoprism.png
8-4 duoprism.png
Cells 3 {4}×{} Hexahedron.png
4 {3}×{} Triangular prism.png
4 {4}×{} Hexahedron.png
4 {4}×{} Tetragonal prism.png
5 {4}×{} Hexahedron.png
4 {5}×{} Pentagonal prism.png
6 {4}×{} Hexahedron.png
4 {6}×{} Hexagonal prism.png
7 {4}×{} Hexahedron.png
4 {7}×{} Prism 7.png
8 {4}×{} Hexahedron.png
4 {8}×{} Octagonal prism.png
p {4}×{} Hexahedron.png
4 {p}×{}
Net 4-3 duoprism net.png 8-cell net.png 5-4 duoprism net.png 6-4 duoprism net.png 7-4 duoprism net.png 8-4 duoprism net.png

References

  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 26)