3-4 duoprism

Uniform 3-4 duoprisms

Schlegel diagrams
TypePrismatic uniform polychoron
Schläfli symbol{3}×{4}
Coxeter-Dynkin diagram
Cells3 square prisms,
4 triangular prisms
Faces12 squares,
3 squares,
4 triangles
Edges24
Vertices12
Vertex figure
Digonal disphenoid
Symmetry[3,2,4], order 48
Dual3-4 duopyramid
Propertiesconvex, vertex-uniform

In geometry of 4 dimensions, a 3-4 duoprism, the second smallest p-q duoprism, is a 4-polytope resulting from the Cartesian product of a triangle and a square.

The 3-4 duoprism exists in some of the uniform 5-polytopes in the B5 family.

Images


Net

Related polytopes

The birectified 5-cube, has a uniform 3-4 duoprism vertex figure:

3-4 duopyramid

dual uniform 3-4 duopyramid
Typeduopyramid
Schläfli symbol{3}+{4}
Coxeter-Dynkin diagram
Cells12 digonal disphenoids
Faces24 isosceles triangles
Edges19 (12+3+4)
Vertices7 (3+4)
Symmetry[3,2,4], order 48
Dual3-4 duoprism
Propertiesconvex, facet-transitive

The dual of a 3-4 duoprism is called a 3-4 duopyramid. It has 12 tetragonal disphenoid cells, 24 isosceles triangular faces, 12 edges, and 7 vertices.


Orthogonal projection

Vertex-centered perspective

See also

Notes

    References

    External links

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