In geometry of 4 dimensions, a **10-10 duoprism** is a polygonal duoprism, a 4-polytope resulting from the Cartesian product of two decagons.

## Contents

It has 100 vertices, 200 edges, 120 faces (100 squares, and 20 decagons), in 20 decagonal prism cells. It has Coxeter diagram , and symmetry [[10,2,10]], order 800.

## Images

The uniform *10-10 duoprism* can be constructed from [10]×[10] or [5]×[5] symmetry, order 400 or 100, with extended symmetry doubling these with a 2-fold rotation that maps the two orientations of prisms together.

## Related complex polygons

The regular complex polytope _{10}{4}_{2}, , in
_{10}{4}_{2} has 100 vertices, and 20 10-edges. Its symmetry is _{10}[4]_{2}, order 200.

It also has a lower symmetry construction, , or _{10}{}×_{10}{}, with symmetry _{10}[2]_{10}, order 100. This is the symmetry if the red and blue 10-edges are considered distinct.

## 10-10 duopyramid

The dual of a *10-10 duoprism* is called a **10-10 duopyramid**. It has 100 tetragonal disphenoid cells, 200 triangular faces, 120 edges, and 20 vertices.

Orthogonal projection

## Related complex polygon

The regular complex polygon _{2}{4}_{10} has 20 vertices in

The vertices and edges makes a complete bipartite graph with each vertex from one decagon is connected to every vertex on the other.