From Mario Bettini’s Aerarium Philosophiae Mathematicae [Treasury of Mathematics], published in 1648. Bettini (1582 - 1657) was a Jesuit, a mathematician and an astronomer. The book is an encyclopedic collection of mathematical curiosities.
The corners of the cube, center on the faces of the octahedron and vice versa, they have a polarity with each other, in other words, one has six faces and eight corners and the reversed has six corners and eight faces, so they make a pair and the same thing is true for these two [dodecahedron and icosahedron]. They make a pair in the same way. And I believe that this represents a stage of form, being pumped. From Anne Tyng’s lecture, “Beaux Arts Complexity to Bauhaus Simplicity” at the GSD
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All stages of pumping.
All stages of pumping.
Stages of pumping of platonic solids - UPDATE
Stages of pumping: from tetrahedron to dodecahedron.
Wobbling pumping thing. Complete cycle: tetrehedron > cube > octahedron > icosahedron > dodecahedron.
Five wobbling and crawling platonic solids.
Little building by Anne Tyng

Andreas Weininger, who used to play trumpet in the Bauhaus band, showed up at the Guggenheim to talk. He was 85 years old and it was a Saturday night.

He came out and said: “Hi, I’m from the nineteenth century”.

And we go: “Whoa”.

And he said: “You know, we had Saturdays in the nineteenth century too, and what we did was…”.

And he proceeded to describe these insane long-ago evenings. It really seemed so alive and exciting. So wonderful. It was a kind of real continuity, and you really felt that, yes, there have been artists, and there is a long line, and we can learn from each other, and we can go forward, and try to be as generous as possible to each other.

Lauri Anderson about continuity 
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