Truncated Dodecahedron. 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://beta.geogebra.org/resource/cgm8wpvv/yZ5BasyIZj5LoXaq/material-cgm8wpvv.png)
The case of regular decagons on the faces of a truncated polyhedron.
![The case of regular decagons on the faces of a truncated polyhedron.](https://beta.geogebra.org/resource/pwevqqzj/tOVEYij7ucqTfeyQ/material-pwevqqzj.png)
Properties of the distribution polyhedrons vertices
![Properties of the distribution polyhedrons vertices](https://beta.geogebra.org/resource/fr3tukjb/S4BkqiVLzlgtAzjX/material-fr3tukjb.png)
Truncated Dodecahedron
![Truncated Dodecahedron](https://beta.geogebra.org/resource/uspfngsy/soTJFV0Ldftv8aU5/material-uspfngsy.png)