Differential Geometry
Cyclide, Check Sticker
Cyclide, Check Sticker
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In differential geometry, the term "cyclide" refers to a surface whose "lines of curvature" are circles. These surfaces have multiple concrete geometric descriptions related to groups of angle-preserving (or "conformal") transformations on Euclidean three-space. This image was created by rotating a product torus in the unit three-sphere (in Euclidean four-space) one-eighth of a turn so that the north pole (0,0,0,1) lies on the torus, then mapping by stereographic projection from the north pole to Euclidean three-space. This surface cuts three-space into two congruent pieces, each a half-space with a handle, and the pieces' handles are linked.
This high-resolution 3-inch sticker is printed on glossy kiss-cut vinyl. Price includes shipping by first-class mail.
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![Cyclide, Check Sticker](http://diffgeom.com/cdn/shop/files/cyclide_check.png?v=1701911958&width=1445)