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- W4289146207 abstract "In this paper, we discuss centroaffine geometry of polygons in $3$-space. For a polygon $X$ that is locally convex with respect to an origin together with a transversal vector field $U$, we define the centroaffine dual pair $(Y,V)$ similarly to [6]. We prove that vertices of $(X,U)$ correspond to flattening points for $(Y,V)$ and also that constant curvature polygons are dual to planar polygons. As an application, we give a new proof of a known $4$ flattening points theorem for spatial polygons." @default.
- W4289146207 created "2022-08-01" @default.
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- W4289146207 date "2018-12-03" @default.
- W4289146207 modified "2023-09-26" @default.
- W4289146207 title "Centroaffine Duality for Spatial Polygons" @default.
- W4289146207 doi "https://doi.org/10.48550/arxiv.1812.01086" @default.
- W4289146207 hasPublicationYear "2018" @default.
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