Difference between revisions of "Template:Convex prismatic prisms"

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imported>Jonesey95
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* [[John Horton Conway|John H. Conway]], Heidi Burgiel, Chaim Goodman-Strass, ''The Symmetries of Things'' 2008, {{ISBN|978-1-56881-220-5}} (Chapter 26)
 
* [[John Horton Conway|John H. Conway]], Heidi Burgiel, Chaim Goodman-Strass, ''The Symmetries of Things'' 2008, {{ISBN|978-1-56881-220-5}} (Chapter 26)
  
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[[Category:Polychora]]
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[[Category:4-polytopes]]
 
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Latest revision as of 09:00, 2 March 2020

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)