# Vertices 60. Biscribed Truncated Icosahedron(extreme distribution). Images: A critical points scheme for Generating uniformly distributed points on a sphere.

The applet illustrates the case where 60 vertices of a Biscribed Truncated Icosahedron -extreme distribution "induce" the vertices of two other polyhedra:

**32 ●Pentakis Dodecahedron ←60 ●Biscribed Truncated Icosahedron -extreme distribution →90 ☐ as Rectified truncated icosahedron.**Description are in https://www.geogebra.org/m/y8dnkeuu and https://www.geogebra.org/m/rkpxwceh. Images and explanations of calculating results from applet: Generating two different uniformly distributed points on a sphere using one uniform distribution: Biscribed Truncated Icosahedron V=60:**32 ●Pentakis Dodecahedron ←60 ● Biscribed Truncated Icosahedron -extreme distribution →90 ☐ as Rectified truncated icosahedron**

## Isolines, f'ₓ=0, f'ᵧ=0 and the critical points of the distance sum function over a rectangular region: - π ≤φ ≤ π; -π/2≤θ≤π/2.

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