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Parabolic Cyclide, Black Framed & Mounted Print
Parabolic Cyclide, Black Framed & Mounted Print
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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.
Handmade in the UK by specialist picture framers using premium fine art paper with a gently textured surface and satin finish, high-quality wood, and an FSC certified off-white mat. Delivered ready for hanging.
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![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/e61c4985-58c4-4ea4-9723-8a05a69690af.jpg?v=1692371532&width=1445)
![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/e6446ab4-572d-40cc-b164-d2dd4dd78051.jpg?v=1692371532&width=1445)
![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/bfd90070-2d3c-4e50-92b2-fa7ccb79d54a.jpg?v=1692371532&width=1445)
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![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/ad4bb985-90c3-4669-841c-7172c77dcc59.jpg?v=1692371532&width=1445)
![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/a3b6f431-79e3-46c7-ae7a-c395a7f7e13c.jpg?v=1692371532&width=1445)
![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/f1a274d8-339a-48ac-a2d9-d79ea0039bdf.jpg?v=1692371532&width=1445)
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![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/0ad399d1-b560-44a8-9643-89ca198fc84c.jpg?v=1692371532&width=1445)
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![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/f941c846-ba15-4f37-9cef-46250aef26bd.jpg?v=1692371532&width=1445)
![Parabolic Cyclide, Black Framed & Mounted Print](http://diffgeom.com/cdn/shop/products/c338bbae-5dc7-47a7-8e33-73db6c6af1d3.jpg?v=1692371532&width=1445)