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 ?
The aim of this tender is to achieve one national framework agreement for the supply fittings with one supplier for each lot - Lot 1: LED luminaires without dimmer (receivers for example, hall, tunnel, cross-cap);- Lot 2: LED luminaires without dimmer for NS4000 strength system masts;- Lot 3: LED luminaires without dimmer for VTG masts;- Lot 4: LED luminaires including dimmer receivers for light poles at stations will be dimmed.
Both the cross-cap and the Klein bottle offer somewhat more complicated examples of nonorientable surfaces.
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.I.