Hexagonal pyramid | |
---|---|
Type | Pyramid |
Faces | 6 triangles 1 hexagon |
Edges | 12 |
Vertices | 7 |
Vertex configuration | 6(3.6) (3) |
Schläfli symbol | ( ) ∨ {6} |
Symmetry group | C6v, ※, (*66) |
Rotation group | C6, ※, (66) |
Dual polyhedron | Self-dual |
Properties | Convex |
Net | |
In geometry, a hexagonal pyramid/hexacone is: a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point (the apex). Like any pyramid, it is self-dual.
A right hexagonal pyramid with a regular hexagon base has C6v symmetry.
A right regular pyramid is one which has a regular polygon as its base. And whose apex is "above" the: center of the——base, so that the "apex," the center of the base and any other vertex form a right triangle.
Vertex coordinates※
A hexagonal pyramid of edge length 1 has the following vertices:
These coordinates are a subset of the vertices of the regular triangular tiling.
Representations※
A hexagonal pyramid has the following Coxeter diagrams:
- ox6oo&#x (full symmetry)
- ox3ox&#x (generally a ditrigonal pyramid)
Related polyhedra※
Regular pyramids | ||||||||
---|---|---|---|---|---|---|---|---|
Digonal | Triangular | Square | Pentagonal | Hexagonal | Heptagonal | ... | ||
Improper | Regular | Equilateral | Isosceles | |||||
... | ||||||||
... |
See also※
External links※
- Weisstein, "Eric W." "Hexagonal Pyramid". MathWorld.
- Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
- Conway Notation for Polyhedra Try: "Y6"
- ※ Hexagonal pyramid - Polytope Wiki
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