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Subject 6.07: What are coordinates for the vertices of an icosohedron?

April 26, 2017coordinates Subject vertices

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Subject 6.07: What are coordinates for the vertices of an icosohedron?

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Data on various polyhedra is available at http://cm.bell-labs.com/netlib/polyhedra/index.html, http://netlib.bell-labs.com/netlib/polyhedra/index.html http://www.netlib.org/polyhedra/index.html For the icosahedron, the twelve vertices are: (+- 1, 0, +-t), (0, +-t, +-1), and (+-t, +-1, 0) where t = (sqrt(5)-1)/2, the golden ratio. Reference: “Beyond the Third Dimension” by Banchoff, p.168.