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A 3-D Analog of Steiner’s Porism
Owen D. Byer and Deirdre L. Smeltzer
Vol. 87, No. 2 (April 2014), pp. 95-99
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/math.mag.87.2.95
Page Count: 5
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Summary Steiner’s Porism, the classical result on chains of circles discovered by Jacob Steiner in the nineteenth century, is treasured for its beauty, for its simplicity, and as one of the great applications of inversion in the plane. In this note, we extend his result to a packing of spheres in 3-space, along with a surprising connection to regular polyhedra.
Copyright the Mathematical Association of America 2014