#poncelet — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #poncelet, aggregated by home.social.
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Triangulate a cyclic polygon. “Japanese theorem”: the sum of inradii of triangles doesn't depend on the triangulation.
Moreover, this sum is constant in the “Poncelet family” of all polygons with the same incircle and circumcircle.
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Triangulate a cyclic polygon. “Japanese theorem”: the sum of inradii of triangles doesn't depend on the triangulation.
Moreover, this sum is constant in the “Poncelet family” of all polygons with the same incircle and circumcircle.
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Triangulate a cyclic polygon. “Japanese theorem”: the sum of inradii of triangles doesn't depend on the triangulation.
Moreover, this sum is constant in the “Poncelet family” of all polygons with the same incircle and circumcircle.
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@ocfnash
http://olivernash.org/2018/07/08/poring-over-poncelet/index.htmlAwesome!
I'd love to find out about #Poncelet generalizations or related results in 3+1 dimensional flat #MinkowskiSpace, with- all relevant edges along light cones (Are those "singular" and perhaps problematic, even in 3+1 D ?), and
- the \(n\)-sided polygon generalized to a #PingCoincidenceLattice (cmp. my sketch https://mathstodon.xyz/@MisterRelativity/109435130217990848 )
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@ocfnash
http://olivernash.org/2018/07/08/poring-over-poncelet/index.htmlAwesome!
I'd love to find out about #Poncelet generalizations or related results in 3+1 dimensional flat #MinkowskiSpace, with- all relevant edges along light cones (Are those "singular" and perhaps problematic, even in 3+1 D ?), and
- the \(n\)-sided polygon generalized to a #PingCoincidenceLattice (cmp. my sketch https://mathstodon.xyz/@MisterRelativity/109435130217990848 )