Heptagrammic cupola
TypeStar-cupola
Faces7 triangles
7 squares
1 {7/3}
1 {14/3}
Edges35
Vertices21
Schläfli symbol{7/3} || t{7/3}
Symmetry groupC7v, [7], (*77)
Rotation groupC7, [7]+, (77)
Dual polyhedron-

In geometry, the heptagrammic cupola is a star-cupola made from a heptagram, {7/3} and parallel tetradecagram, {14/3}, connected by 7 mutually intersecting equilateral triangles and squares.

{n/d} 4 5 7 8
3
{4/3}
Crossed square
cupola

{5/3}
Crossed pentragrammic
cupola

{7/3}
Heptagrammic
cupola

{8/3}
Octagrammic
cupola
5
{7/5}
Crossed heptagrammic
cupola

{8/5}
Crossed octogrammic
cupola

Crossed heptagrammic cupola

Crossed heptagrammic cupola
TypeStar-cupola
Faces7 triangles
7 squares
1 {7/5}
1 {14/5}
Edges35
Vertices21
Schläfli symbol{7/5} || t{7/5}
Symmetry groupC7v, [7], (*77)
Rotation groupC7, [7]+, (77)
Dual polyhedron-

The crossed heptagrammic cupola is a star-cupola made from a heptagram, {7/5} and parallel tetradecagram, {14/5}, connected by 7 mutually intersecting equilateral triangles and squares.

References

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