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pyramidoid

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pyramidoid
pyramidoid Geom. rare. (pɪˈræmɪdɔɪd) [ad. mod.L. pȳramidoīdes (sc. schēma): see pyramid and -oid.] A solid figure in form approaching a pyramid, but of which the edges that meet or intersect at the vertex are curves, instead of straight lines as in a pyramid; as the parabolic pyramidoid, in which th... Oxford English Dictionary
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pyramoid
pyramoid Geom. rare—0. (ˈpɪrəmɔɪd) [ad. Gr. πῡραµοειδής pyramid-shaped, f. πῡραµίς pyramid: see -oid.] = pyramidoid (Webster 1864). So pyraˈmoidal a. = pyramidoidal b.1883 Heddle in Encycl. Brit. XVI. 354/2 Producing..in the hexagonal system ‘pyramoidal’ and ‘gyroidal’ forms. Oxford English Dictionary
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constant Cross Ratio of pyramidoid edge projections EDIT1: Can we define a (non-trivial) rigid pyramidoid in 3 space where every projection of a set of four edges $ (OA,OB,OC,OD)$ meeting at a vertex $O$ have the sam...
Let the edges be the lines $OA$, $OB$, $OC$, $OD$. We may assume that $A$, $B$, $C$, $D$ are in the plane we project onto. If $O'$ is the projection of $O$ on their plane, then the cross-ratio of the projections is $O'A$, $O'B$, $O'C$, $O'D$. So in plane our problem is the following: _are there four...
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parabolic
parabolic, a. and n. (pærəˈbɒlɪk) [ad. late L. parabolicus, a. late Gr. παραβολικός figurative (Clemens Alex.), f. παραβολή parable; in mod. use referred also to parabola; cf. F. parabolique (14th c. in Littré).] A. adj. 1. a. Of, pertaining to, or of the nature of a parable; ‘expressed by parable’ ... Oxford English Dictionary
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