|Bowers style acronym||Isot|
|Symmetry||A1×I, order 2|
|Measures (edge lengths b [base], ℓ [legs])|
Its unequal side is often called its base, in analogy to the pyramid construction. Its equal sides are called its legs.
Vertex coordinates[edit | edit source]
Coordinates for an isosceles triangle with base length b and leg length ℓ are given by:
- (±b/2, 0),
- (0, √).
In vertex figures[edit | edit source]
All regular polygonal prisms have an isosceles triangle for a vertex figure. Polyhedra with isosceles vertex figures are sometimes known as truncated regular polyhedra, as they all derive from truncations of other polyhedra.
|Truncated tetrahedron||1, √, √|
|Truncated cube||1, √, √|
|Truncated octahedron||√, √, √|
|Quasitruncated hexahedron||1, √, √|
|Truncated dodecahedron||1, √, √|
|Truncated icosahedron||(√+1)/2, √, √|
|Truncated great dodecahedron||(√–1)/2, √, √|
|Truncated great icosahedron||(√–1)/2, √, √|
|Quasitruncated small stellated dodecahedron||(√+1)/2, √, √|
|Quasitruncated great stellated dodecahedron||1, √, √|
References[edit | edit source]
- McCooey, David I. "Self-Intersecting Truncated Regular Polyhedra".
[edit | edit source]
- Wikipedia Contributors. "Isosceles triangle".