Uniform 3-4 duoprisms![]() ![]() Schlegel diagrams | |
---|---|
Type | Prismatic uniform polychoron |
Schläfli symbol | {3}×{4} |
Coxeter-Dynkin diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Cells | 3 square
prisms, 4 triangular prisms |
Faces | 3+12
squares, 4 triangles |
Edges | 24 |
Vertices | 12 |
Vertex figure |
![]() Digonal disphenoid |
Symmetry | [3,2,4], order 48 |
Dual | 3-4 duopyramid |
Properties | convex, 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.
![]() Net |
![]() 3D projection with 3 different rotations |
![]() Skew orthogonal projections with primary triangles and squares colored |
The quasiregular
complex polytope 3{}×4{}, , in has a real representation as a 3-4
duoprism in 4-dimensional space. It has 12 vertices, and 4 3-edges and 3 4-edges. Its symmetry is 3[2]4, order 12.
[1]
The
birectified 5-cube, has a uniform 3-4 duoprism
vertex figure:
3-4 duopyramid | |
---|---|
Type | duopyramid |
Schläfli symbol | {3}+{4} |
Coxeter-Dynkin diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Cells | 12 digonal disphenoids |
Faces | 24 isosceles triangles |
Edges | 19 (12+3+4) |
Vertices | 7 (3+4) |
Symmetry | [3,2,4], order 48 |
Dual | 3-4 duoprism |
Properties | convex, facet-transitive |
The dual of a 3-4 duoprism is called a 3-4 duopyramid. It has 12 digonal disphenoid cells, 24 isosceles triangular faces, 12 edges, and 7 vertices.
![]() Orthogonal projection |
![]() Vertex-centered perspective |