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|Bowers style acronym||Tripy|
|Faces||1 equilateral triangle, 3 isosceles triangles|
|Vertex figures||1 triangle|
|3 isosceles triangles|
|Measures (edge lengths b [base], ℓ [lacing])|
|Abstract & topological properties|
|Symmetry||A2×I, order 6|
The triangular pyramid, or tripy, is a type of tetrahedron with 1 equilateral triangle as a base and 3 isosceles triangles as sides. It is a pyramid based on the equilateral triangle.
It generally has 2 edge sizes, the base and side edges.
In vertex figures[edit | edit source]
Triangular pyramids occur as the vertex figures in 8 nonprismatic uniform polychora (including the truncated pentachoron, truncated tesseract, truncated icositetrachoron, truncated hecatonicosachoron, truncated great grand hecatonicosachoron, quasitruncated tesseract, quasitruncated small stellated hecatonicosachoron, and quasitruncated great grand stellated hecatonicosachoron) and 3 polyhedral prisms (the tetrahedral prism, dodecahedral prism, and great stellated dodecahedral prism).