2 frequency truncated icosahedron
- To: domesteading at sculptors dot com
- Subject: 2 frequency truncated icosahedron
- From: geoman <geogeo9090 at yahoo dot com>
- Date: Wed, 8 Jan 2003 17:38:40 -0800 (PST)
Thanks all for the response.
The truncated 2fr. icosahedron has 80 hexagons and 12 pentagons for
the sphere. I have been lookin at the lacrosse ball model and see some
things that look like paradox er should i say a pair-a-hex. On the model
there just so happens to be 6 hexagons surrounding a hexagon in the
center. Very impossible unless these surrounding hexagons are not regular
hexagons. As to what shape they have remains to be seen. 20 of the
hexagons have the dodecahedron vertice as the dual. These 20 hexagons look
very much like equilateral type hexagons. The other 60 hexagons have
their duality with the vertices of a 1 frequency truncated icosahedron.
These 60 are definately not equilateral hexagons. All 60 are the same
shape though. For the hemisphere only 30 of the 60 are needed to be
Back to my original idea of making a prepaneled hemispherical dome is
by assembling the entire dome one hexagon at a time. Each hexagon is
ready assembled. It remains only to edge bolt these all together. 30
hexagons get bolted together. This 2 frequency truncation retains the small
edge length that the 4 frequency icosahedron does. For instance a
hexagon with a side length of 5.2 feet will give a dome 40 feet in diameter.
A hexagon this size can be easily handled by one person. For the higher
parts of the dome a small hand operated crane would hoist up the
This eliminates cutting plywood or whatever for hundreds of triangles
also hubs are eliminated.
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