Bitetradecapeton

The bitetradecapeton or bife, also known as the triangular-disphenoidal hecatontetracontapeton, is a convex noble polypeton with 140 identical triangular disphenoids as peta. It is also the 14-3-5 step prism.

It is also the convex hull of a heptapeton and its central inversion.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt35}{5}$$ ≈ 1:1.18322.

Vertex coordinates
The vertices of a bitetradecapeton, based on two heptapeta of edge length 1, centered at the origin, are given by:
 * ±(±1/2, –$\sqrt{3}$/6, –$\sqrt{6}$/12, –$\sqrt{10}$/20, –$\sqrt{15}$/30, –$\sqrt{21}$/42),
 * ±(0, $\sqrt{3}$/3, –$\sqrt{6}$/12, –$\sqrt{10}$/20, –$\sqrt{15}$/30, –$\sqrt{21}$/42),
 * ±(0, 0, $\sqrt{6}$/4, –$\sqrt{10}$/20, –$\sqrt{15}$/30, –$\sqrt{21}$/42),
 * ±(0, 0, 0, $\sqrt{10}$/5, –$\sqrt{15}$/30, –$\sqrt{21}$/42),
 * ±(0, 0, 0, 0, $\sqrt{15}$/6, –$\sqrt{21}$/42),
 * ±(0, 0, 0, 0, 0, $\sqrt{21}$/7).