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DF P P&dV D B J K

Truncated tetrahedron T,22v 4v,II-69v 3 35 56 A3 2

Truncated cube 22r 36 61 G2 1

Truncated dodecahedron 21r 76 3

Truncated octahedron 21v 17 38 68 B2,B4 5

Great rhombi-cubo-octahedron 41 88 B6 6

Great rhombi-icosidodecahedron 100 7

Truncated icosahedron (football!) 20v 4v 23 + 81 4

Cubo-octahedron T 4v,II-69v 9 37 58 B6,F1 8

Icosidodecahedron 4v 29 71 D4,F6 9

Rhombi-cubo-octahedron 35 39 64 B6 10

Rhombi-icosidodecahedron 94 D4 11

Snub cube 40 12

Snub dodecahedron 13


NUMBER 5(6) 4 6 7(9) 11 8 13
Richard Buckminster Fuller. Centre spread card version of his Dymaxion World map on the cubo-octahedron. Life (15 Mar 1943). Reproduced in colour, with extended discussion, in: Joachim Krausse & Claude Lichtenstein, eds; Your Private Sky R. Buckminster Fuller The Art of Design Science [book accompanying a travelling exhibition in 2000]; Lars Müller Publishers, Bade, Switzerland, 1999, pp. 250-275. (This quotes a Life article on 1 Mar 1943 and a Fuller article, Fluid Geography, of 1944 -- ??NYS. It also reproduces a 1952 colour example of the icosahedral version.)

Richard Buckminster Fuller. US Patent 2,393,676 -- Cartography. Filed: 25 Feb 1944; granted: 29 Jan 1946. 3pp + 5pp diagrams. His world map on the cubo-octahedron. It was later put on the icosahedron. One page is reproduced in: William Blackwell; Geometry in Architecture; Key Curriculum Press, Berkeley, 1984, p. 157.

J. H. Conway. Four-dimensional Archimedean polytopes. Proc. Colloq. Convexity, Copenhagen, 1965 (1967) 38-39. ??NYS -- cited by Guy, CMJ 13:5 (1982) 290-299.


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