Yana Mohanty
Publications
Construction of a 3/4-ideal hyperbolic tetrahedron out of ideal tetrahedra. Discrete and Computational Geometry 32:117-128 (2004). [ps] [pdf]
The Regge symmetry is a scissors congruence in hyperbolic space. Algebraic and Geometric Topology (3), 2003, pp. 1-31.[link to all formats]
Unpublished papers
Hyperbolic tetrahedra: volumes and scissors congruence. Ph.D. Thesis, University of California, San Diego. June 2002. [abstract] [pdf] [ps]
A new formula for the volume of a hyperbolic tetrahedron. 2001.[pdf] [ps]
A geometric proof that the stereographic projection of a circle is a circle. (This is one of the notorious $50 problems of Peter Doyle's. The solution was written up during the summer before I entered grad school. Alas, I didn't know what a sphere inversion was at the time.) 1997. [html]