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Steiner Surface model, c 1875.

Steiner Surface model, c 1875.
4 0 c m
actual image size: 26cm x 32cm


Jacob Steiner was one of the leading geometers of the mid 19th Century. This plaster surface model was made for Sir Arthur Cayley (1821-1895), another pioneer in the field. It has the equation root x + root y + root z + root w = 0, where x, y, z and w are proportional to the perpendicular distance from the faces of a regular tetrahedron. The surface is scooped down to the centre and intersects itself.

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© Science Museum / Science & Society Picture Library

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