Truncated Icosahedron. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.
Drag the slider t to show the truncation the faces of the polyhedron. Extreme distribution: click a button to find the maximum value of the average distance between the vertices of a polyhedron.
The case the largest mean distance between the vertices of a truncated polyhedron
![The case the largest mean distance between the vertices of a truncated polyhedron](https://stage.geogebra.org/resource/crpzdpbx/0008YKZ4jePzGSyt/material-crpzdpbx.png)
The case of regular pentagons and hexagons on the faces of a truncated polyhedron.
![The case of regular pentagons and hexagons on the faces of a truncated polyhedron.](https://stage.geogebra.org/resource/cabdnjrr/4vtmKZUUTuMznyUo/material-cabdnjrr.png)
Properties of the distribution polyhedrons vertices
![Properties of the distribution polyhedrons vertices](https://stage.geogebra.org/resource/cxqtgjjp/ZWpSWpzVKOLJ4c3Q/material-cxqtgjjp.png)
Truncated Icosahedron
![Truncated Icosahedron](https://stage.geogebra.org/resource/zzx7vhpx/ZHbeLDSESgFhKREM/material-zzx7vhpx.png)