Bicupola
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In geometry, a bicupola is a solid formed by connecting two cupolae on their bases. Here, two classes of bicupola are included because each cupola (bicupola half) is bordered by alternating triangles and squares. If similar faces are attached together the result is an orthobicupola; if squares are attached to triangles it is a gyrobicupola.
Forms
Set of orthobicupolae
| Symmetry | Picture | Description |
|---|---|---|
| D3h [2,3] *223Script error: No such module "Check for unknown parameters". |
File:Triangular orthobicupola.png | Triangular orthobicupola (J27Script error: No such module "Check for unknown parameters".): 8 triangles, 6 squares.Template:R Its dual is the trapezo-rhombic dodecahedron |
| D4h [2,4] *224Script error: No such module "Check for unknown parameters". |
File:Square orthobicupola.png | Square orthobicupola (J28Script error: No such module "Check for unknown parameters".): 8 triangles, 10 squares.Template:R |
| D5h [2,5] *225Script error: No such module "Check for unknown parameters". |
File:Pentagonal orthobicupola.png | Pentagonal orthobicupola (J30Script error: No such module "Check for unknown parameters".): 10 triangles, 10 squares, 2 pentagons.Template:R |
| Dnh [2,n] *22nScript error: No such module "Check for unknown parameters". |
Template:Mvar-gonal orthobicupola: 2nScript error: No such module "Check for unknown parameters". triangles, 2nScript error: No such module "Check for unknown parameters". rectangles, 2 Template:Mvar-gons |
Set of gyrobicupolae
A Template:Mvar-gonal gyrobicupola has the same topology as a Template:Mvar-gonal rectified antiprism, Conway polyhedron notation, aAnScript error: No such module "Check for unknown parameters"..
| Symmetry | Picture | Description |
|---|---|---|
| D2d [2+,4] 2*2Script error: No such module "Check for unknown parameters". |
File:Gyrobifastigium.png | Gyrobifastigium (J26Script error: No such module "Check for unknown parameters".) or digonal gyrobicupola: 4 triangles, 4 squares.Script error: No such module "Unsubst". |
| D3d [2+,6] 2*3Script error: No such module "Check for unknown parameters". |
File:Cuboctahedron.png | Triangular gyrobicupola or cuboctahedron: 8 triangles, 6 squares.Template:R Its dual is the rhombic dodecahedron. |
| D4d [2+,8] 2*4Script error: No such module "Check for unknown parameters". |
File:Square gyrobicupola.png | Square gyrobicupola (J29Script error: No such module "Check for unknown parameters".): 8 triangles, 10 squares.Template:R Its dual is the elongated tetragonal trapezohedron |
| D5d [2+,10] 2*5Script error: No such module "Check for unknown parameters". |
File:Pentagonal gyrobicupola.png | Pentagonal gyrobicupola (J31Script error: No such module "Check for unknown parameters".): 10 triangles, 10 squares, 2 pentagons.Template:R Its dual is the elongated pentagonal trapezohedron |
| Dnd [2+,2n] 2*nScript error: No such module "Check for unknown parameters". |
Template:Mvar-gonal gyrobicupola: 2nScript error: No such module "Check for unknown parameters". triangles, 2nScript error: No such module "Check for unknown parameters". rectangles, 2 Template:Mvar-gons. |
References
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