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Triangular cupola

Triangular cupola
Triangular cupola.png
Type Johnson
J2 - J3 - J4
Faces 1+3 triangles
3 squares
1 hexagon
Edges 15
Vertices 9
Vertex configuration 6(3.4.6)
3(3.4.3.4)
Symmetry group C3v
Dual polyhedron -
Properties convex
Net
Triangular cupola net.PNG

In geometry, the triangular cupola is one of the Johnson solids (J3). It can be seen as half a cuboctahedron.

A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.

The following formulae for the volume and surface area can be used if all faces are regular, with edge length a:


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Wikipedia

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