cross-cap


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cross-cap

[′krȯs ‚kap]
(mathematics)
The self-intersecting surface that results when a Möbius band is deformed so that its boundary is a circle.
References in periodicals archive ?
His "Torus with Cross-Cap and Vector Field" -- a 550-pound, gracefully textured and smoothly contoured sculpture in pure white marble -- stands at the headquarters of the American Mathematical Society in Providence, R.
Both the cross-cap and the Klein bottle offer somewhat more complicated examples of nonorientable surfaces.
Ferguson's dusty basement studio is filled with the results of his dialogues between materials and mathematical theorems -- sculpted geometrical forms that go by exotic names: Klein bottles, trefoil knots, cross-caps, horned spheres and tori.