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duo_decahedron
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Comment by Michael Grove on July 28, 2011 at 22:33

The Treasure, Unveiled!

THIS is a composition of the Platonic solids, the five polyhedra whose faces are all identical. They're fundamental to understanding order and symmetry in 3D space, and also dripping with golden ratios." 

“They're arranged in three concentric spherical shells. The outer hull, the most complex, is the dodecahedron (bronze) and icosahedron (silver). The solids are in dual position, showing that they have the same symmetry, and sized so their vertices all lie on the same sphere.  The second hull is the cube (bronze) and octahedron (silver), arranged likewise.  And the innermost is two tetrahedra, one in each metal, showing that this four-sided solid is self-dual.  This makes it twice as excellent as any other Platonic solid.”

For more in-depth information on the subject of triangular pyramidstetrahedral numbers

and duo/do-decahedrons - just follow those links and explore away with Wolfram|Alpha.

Comment by Michael Grove on February 7, 2012 at 14:31

PERCEPTION IS indeed THE MEDIUM

Bridget Riley is about the changes - progressive, sometimes abrupt, sometimes apparently disastrous - that can take place in a given situation.

The situation is presented in the simplest possible terms

            John Russell - Sunday Times - September 1963


One of the most distinctive characteristics of Bridget Riley's art is that it "insists" with such concentration that it changes sensory response into something else.

The experience which Riley offers is closely related to the expression of emotion or, more exactly, to the creation of visual analogues for sharply particularized states of
mind.

The very intensity of the assault which her painting makes on the eye drives it, as it were, past the point at which it is merely a matter of optical effect.

It becomes acute physical sensation, apprehended kinesthetically as mental tension or mental release, anxiety or exhileration, heightened self-awareness or heightened awareness of unfamiliar or even alien states of being.

                                                    Bridget Riley Catalogue introduction - David Thompson
                                                                                            Venice Biennale, June 1968

Comment by Michael Grove on October 17, 2012 at 14:32

The Sacrament of the Last Supper by Salvador Dali (1904-1989) is painted inside a golden rectangle.

Golden proportions were used for positioning the figures. Part of an enormous dodecahedron floats above     the table.

The polyhedron consists of 12 regular pentagons and has fundamental golden connections.

At the age of six I wanted to be a cook. At seven I wanted to be Napoleon.

And my ambition has been growing steadily ever since.“  - Salvador Dali

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