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Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation.
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE.
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE.
Speyer and Sturmfels associated Grobner toric degenerations Gr¨2(Cn)T of Gr2(Cn) witheach trivalent tree T having n leaves. These degenerations induce toric degenerations Mr T of Mr, the space of n or...
The Symplectic Geometry of Polygons in Euclidean Space.
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE.
Abstract: We study the Hamiltonian vector field $v=(-\partial f/\partial w,\partial f/\partial z)$ on $\mathbb C^2$, where $f=f(z,w)$ is a polynomial in two complex variables, which is non-degenerate ...
Counting Euclidean triangulations with vertices in a finite set C of the convex hull Conv(C ) of C is difficult in general, both algorithmically and theoretically. The aim of this paper is to describ...
The aim of this paper is to study quasi-rational polygon related to outer billiard. We give a new characterisation of this class of polygons,and characterize the quasi-rational quadrilaterals.
We present explicit filtration/backprojection-type formulae for the inversion of the spherical (circular) mean transform with the centers lying on the boundary of some polyhedra (or polygons, in 2D). ...
Formulas about the side lengths, diagonal lengths or radius of the circumcircle of a cyclic polygon in Euclidean geometry, hyperbolic geometry or spherical geometry can be unified.

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