Islamic Art, Golden Rhombus, Eric Weisstein's
Treasure Troves of Math, Dodeca/Tetra...
22Mar2007 10:17 AM Geometry-Math
Thanks
to Jim H. for pointing out a permanent link to the article
on
advanced math in art/architecture
and Islamic Art
that I mentioned in my
March email bulletin (the one I listed had expired
after a week.)
Thanks also to lucid dream researcher and forum host Ed Kellogg for showing me an interesting book by Shafica Karragula (author of Breakthrough to Creativity: Your Higher Sense Perception which I read a bit of decades ago) and Viola Petitt Neal entitled "Through the Curtain" which contains references to the diamond and other geometric shapes as appropriate for meditation and spiritual resonance. This reminded me of the significance of the diamond (rhombus) shape and the appearance of the Golden Rhombus (the diamond shape you get when you connect the midpoints of the sides of a golden rectangle) in the Rhombic Triacontahedron, also known as Kepler's Solid; I have a fold-up pattern for it on my website here. The conversation Ed & I had about the diamond/rhombus shape also lead to talking about Eric Weisstein's fabulous magnum opus, Eric's Treasure Troves of Math (and Physics and ...) which evolved into his Encyclopedia of Mathematics and the online version, a collaboration with Wolfram which I seem to refer to constantly. Kudos to Eric and all the other contributors which make this such an exemplary gift to humankind's understanding!
Thanks to Luke G. and Michael H. for this neat visual progression from R.W. Gray about dodecahedron/tetrahedron nesting relationships.
Thanks also to lucid dream researcher and forum host Ed Kellogg for showing me an interesting book by Shafica Karragula (author of Breakthrough to Creativity: Your Higher Sense Perception which I read a bit of decades ago) and Viola Petitt Neal entitled "Through the Curtain" which contains references to the diamond and other geometric shapes as appropriate for meditation and spiritual resonance. This reminded me of the significance of the diamond (rhombus) shape and the appearance of the Golden Rhombus (the diamond shape you get when you connect the midpoints of the sides of a golden rectangle) in the Rhombic Triacontahedron, also known as Kepler's Solid; I have a fold-up pattern for it on my website here. The conversation Ed & I had about the diamond/rhombus shape also lead to talking about Eric Weisstein's fabulous magnum opus, Eric's Treasure Troves of Math (and Physics and ...) which evolved into his Encyclopedia of Mathematics and the online version, a collaboration with Wolfram which I seem to refer to constantly. Kudos to Eric and all the other contributors which make this such an exemplary gift to humankind's understanding!
Thanks to Luke G. and Michael H. for this neat visual progression from R.W. Gray about dodecahedron/tetrahedron nesting relationships.
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