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Geometric Model by A. Harry Wheeler, Moebius Polyhedron (Polyhedron of Musical Chords)
CC0 · no rights reserved

Geometric Model by A. Harry Wheeler, Moebius Polyhedron (Polyhedron of Musical Chords)

Wheeler, Albert Harry · ca 1940 · plastic (overall material)

From the collection of National Museum of American History. Free to download, adapt and use — no permission needed.

About this work

This plastic model is in roughly the shape of a torus. All the faces are triangles. Twelve are turquoise and twelve white, with the colors alternating. The surface has thirty-six edges and twelve vertices. This would give an Euler characteristic of vertices – edges + faces = 12 – 36 + 24 = 0, which is appropriate for a surface with one hole. Four of the white triangles are numbered. Face 1 also has a tag that reads: 739. Another tag on this side reads: A. Harry Wheeler. Another mark on this side reads: MP. Face 2 is a congruent white triangle on the lower left side, face 3 is a white triangle on the bottom of the back, and face 4 is a triangle on the bottom of the right side.

National Museum of American History’s own description
Credit lineGeometric Model by A. Harry Wheeler, Moebius Polyhedron (Polyhedron of Musical Chords). ca 1940. Wheeler, Albert Harry. National Museum of American History, Gift of Helen M. Wheeler. CC0.

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