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{| class="wikitable" align="right" style="margin-left:10px" width="250" |bgcolor=#e7dcc3 colspan=2 align=center|Set of uniform duoprisms |- |bgcolor=#e7dcc3|Type||Prismatic uniform 4-polytopes |- |bgcolor=#e7dcc3|Schläfli symbol|| |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagram|| |- |bgcolor=#e7dcc3|Cells||-gonal prisms,-gonal prisms |- |bgcolor=#e7dcc3|Faces|| squares,-gons,-gons |- |bgcolor=#e7dcc3|Edges|| |- |bgcolor=#e7dcc3|Vertices|| |- |bgcolor=#e7dcc3|Vertex figure||100pxdisphenoid |- |bgcolor=#e7dcc3|Symmetry||, order |- |bgcolor=#e7dcc3|Dual|| duopyramid |- |bgcolor=#e7dcc3|Properties||co

~11 min read

Encyclopedic overview

14 sections
Contents
  • Nomenclature
  • Example 16-16 duoprism
  • Geometry of 4-dimensional duoprisms
  • Nets
  • Perspective projections
  • Orthogonal projections
  • Related polytopes
  • Duoantiprism
  • Ditetragoltriates
  • Double antiprismoids
  • k<sub>22</sub> polytopes
  • See also
  • Notes
  • References

{| class="wikitable" align="right" style="margin-left:10px" width="250" |bgcolor=#e7dcc3 colspan=2 align=center|Set of uniform duoprisms |- |bgcolor=#e7dcc3|Type||Prismatic uniform 4-polytopes |- |bgcolor=#e7dcc3|Schläfli symbol||{{math|{p}×{q} }} |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagram|| |- |bgcolor=#e7dcc3|Cells||-gonal prisms,-gonal prisms |- |bgcolor=#e7dcc3|Faces|| squares,-gons,-gons |- |bgcolor=#e7dcc3|Edges|| |- |bgcolor=#e7dcc3|Vertices|| |- |bgcolor=#e7dcc3|Vertex figure||100pxdisphenoid |- |bgcolor=#e7dcc3|Symmetry||, order |- |bgcolor=#e7dcc3|Dual|| duopyramid |- |bgcolor=#e7dcc3|Properties||convex, vertex-uniform |- |colspan=2|&nbsp; |- |bgcolor=#e7dcc3 colspan=2 align=center|Set of uniform p-p duoprisms |- |bgcolor=#e7dcc3|Type||Prismatic uniform 4-polytope |- |bgcolor=#e7dcc3|Schläfli symbol||{{math|{p}×{p} }} |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagram|| |- |bgcolor=#e7dcc3|Cells||-gonal prisms |- |bgcolor=#e7dcc3|Faces|| squares,-gons |- |bgcolor=#e7dcc3|Edges|| |- |bgcolor=#e7dcc3|Vertices|| |- |bgcolor=#e7dcc3|Symmetry|| order |- |bgcolor=#e7dcc3|Dual|| duopyramid |- |bgcolor=#e7dcc3|Properties||convex, vertex-uniform, Facet-transitive |} thumb|320px|A close up inside the 23-29 duoprism projected onto a 3-sphere, and perspective projected to 3-space. As and become large, a duoprism approaches the geometry of duocylinder just like a -gonal prism approaches a cylinder.

In geometry of 4 dimensions or higher, a double prism or duoprism is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions or higher. The Cartesian product of an -polytope and an -polytope is an -polytope, where and are dimensions of 2 (polygon) or higher.

Excerpted from Wikipedia’s “duoprism” article, available under the CC BY-SA 4.0 licence.

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