Golden section - Pentagon and Pentagram - Dodecahedron
This page, which is mostly about the oh-so-trendy Golden Ratio (boooooring!!) has a neat animation showing how a dodecahedron (A.K.A. "twelve-sided-dice") may be hinged and transformed into a cube in one smooth motion. Euclid showed that a dodecahedron is related to a cube, and could be constructed by putting "roofs" in each of the faces of the cube.
(The page has a better, bigger animation.)
(The page has a better, bigger animation.)
posted by Derek @ 11:33 PM (permalink)
2 Comments:
At 3/24/2009 2:02 AM,
Anonymous said…
You may want to mention that the volume of the circumscribing dodecahedron is not twice that of the inscribed cube. Do the math.
At 3/24/2009 7:32 PM,
Derek said…
Thanks for the correction, the folded-up dodecahedron wouldn't be solid, there would be gaps in the center.
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