Difference between revisions of "Template:Convex prismatic prisms"

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imported>Tomruen
imported>Tomruen
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|-
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!Cells
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![[Cell (geometry)|Cells]]
 
|3 [[Cube|{4}×{}]] [[File:Hexahedron.png|20px]]<BR>4 [[triangular prism|{3}×{}]] [[File:Triangular_prism.png|20px]]
 
|3 [[Cube|{4}×{}]] [[File:Hexahedron.png|20px]]<BR>4 [[triangular prism|{3}×{}]] [[File:Triangular_prism.png|20px]]
 
|4 [[Cube|{4}×{}]] [[File:Hexahedron.png|20px]]<BR>4 [[cube|{4}×{}]] [[File:Tetragonal_prism.png|20px]]
 
|4 [[Cube|{4}×{}]] [[File:Hexahedron.png|20px]]<BR>4 [[cube|{4}×{}]] [[File:Tetragonal_prism.png|20px]]
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|p [[Cube|{4}×{}]] [[File:Hexahedron.png|20px]]<BR>4 [[prism (geometry)|{p}×{}]]
 
|p [[Cube|{4}×{}]] [[File:Hexahedron.png|20px]]<BR>4 [[prism (geometry)|{p}×{}]]
 
|- style="text-align:center;"
 
|- style="text-align:center;"
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!Net
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![[Polyhedral net|Net]]
 
|[[File:4-3 duoprism net.png|50px]]
 
|[[File:4-3 duoprism net.png|50px]]
 
|[[File:8-cell net.png|50px]]
 
|[[File:8-cell net.png|50px]]

Revision as of 11:58, 18 December 2015

In 4-dimensional geometry, there is an infinite sequence of uniform 4-p duoprisms: (p≥3), with Coxeter diagrams File:CDel node 1.pngFile:CDel p.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel 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
File:CDel node 1.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png File:CDel node 1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png
File:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png
File:CDel node 1.pngFile:CDel 5.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png File:CDel node 1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png
File:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png
File:CDel node 1.pngFile:CDel 7.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png File:CDel node 1.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png
File:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png
File:CDel node 1.pngFile:CDel p.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 2.pngFile:CDel node 1.png
Image 50px
50px
50px 50px
50px
50px
50px
50px
50px
50px
50px
Cells 3 {4}×{} 20px
4 {3}×{} 20px
4 {4}×{} 20px
4 {4}×{} 20px
5 {4}×{} 20px
4 {5}×{} 20px
6 {4}×{} 20px
4 {6}×{} 20px
7 {4}×{} 20px
4 {7}×{} 20px
8 {4}×{} 20px
4 {8}×{} 20px
p {4}×{} 20px
4 {p}×{}
Net 50px 50px 50px 50px 50px 50px

References

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