A Truncated Icosahedron with Sixty Extra Hexagons

A Truncated Icosahedron with Sixty Extra Hexagons

I created this using Stella 4d, which is available (including a free trial download) at http://www.software3d.com/Stella.php. With adjustments in edge lengths to make the bond lengths correct, this would be the shape of a C180 fullerene molecule.

If the thirty-two faces of the truncated icosahedron are hidden, and only the sixty extra hexagons are visible, this polyhedron looks like this:

Dual of Geodesic Trunc Icosa

In “rainbow color mode,” it has an even more interesting appearance:

Dual of Geodesic Trunc Icosa

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. The majority of these things are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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2 Responses to A Truncated Icosahedron with Sixty Extra Hexagons

  1. Tamas Fabian says:

    I like the Truncated Icosahedron with Sixty Extra Hexagons.
    I decided to cut the 12 regular pentagons, 20 regular hexagons and 60 irregular hexagons
    from cardboard..
    Would you help me to send the exact shape of irregular hexagons.
    Thanks

    Like

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