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・ Pinchas Polonsky
・ Pinchas Rosen
・ Pinchas Sadeh
・ Pinchas Sapir
・ Pinchas Steinberg
・ Pinchas Stolper
・ Pinchas Winston
・ Pinchas Zukerman
・ Pinchbeck
・ Pinchbeck (alloy)
・ Pinchbeck Engine
・ Pinchbeck railway station
・ Pinchbeck, Lincolnshire
・ Pinchbottom Burlesque
・ Pinched
Pinched torus
・ Pinchein
・ Pincheira brothers
・ Pinchem, Clark County, Kentucky
・ Pinchem, Kentucky
・ Pinchem, Todd County, Kentucky
・ Pincheon Green
・ Pincher
・ Pincher Creek
・ Pincher Creek (provincial electoral district)
・ Pincher Creek Airport
・ Pincher Creek Echo
・ Pincher Creek Panthers
・ Pincher Creek-Crowsnest
・ Pincher Creek-Macleod


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Pinched torus : ウィキペディア英語版
Pinched torus

In mathematics, and especially topology and differential geometry, a pinched torus (or croissant surface) is a kind of two-dimensional surface. It gets its name from its resemblance to a torus that has been pinched at a single point. A pinched torus is an example of an orientable, compact 2-dimensional pseudomanifold.
== Parametrisation ==

A pinched torus is easily parametrisable. Let us write . An example of such a parametrisation − which was used to plot the picture − is given by where:
:f(x,y) = \left( g(x,y)\cos x , g(x,y)\sin x , \sin\!\left(\frac\right)\sin y \right)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Pinched torus」の詳細全文を読む



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