Divisible tilings in the hyperbolic plane.
Broughton, S.Allen, Haney, Dawn M., McKeough, Lori T., Smith Mayfield, Brandy (2000)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “Properties of triangulations obtained by the longest-edge bisection”
Divisible tilings in the hyperbolic plane.
Tilings of the sphere with right triangles. II: The , subfamily.
Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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Tilings of the sphere with right triangles. I: The asymptotically right families.
Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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Hyperbolization of Euclidean ornaments.
von Gagern, Martin, Richter-Gebert, Jürgen (2009)
The Electronic Journal of Combinatorics [electronic only]
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Characterizing the Delaunay decompositions of compact hyperbolic surfaces.
Leibon, Gregory (2002)
Geometry & Topology
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The Regge symmetry is a scissors congruence in hyperbolic space.
Mohanty, Yana (2003)
Algebraic & Geometric Topology
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Tilings of the sphere with right triangles. III: The asymptotically obtuse families.
Dawson, Robert J.Macg., Doyle, Blair (2007)
The Electronic Journal of Combinatorics [electronic only]
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Octahedral Noncompact Hyperbolic Space Forms With Finite Volume
Marica Šarac (1997)
Matematički Vesnik
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Andreev’s Theorem on hyperbolic polyhedra
Roland K.W. Roeder, John H. Hubbard, William D. Dunbar (2007)
Annales de l’institut Fourier
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In 1970, E.M.Andreev published a classification of all three-dimensional compact hyperbolic polyhedra (other than tetrahedra) having non-obtuse dihedral angles. Given a combinatorial description of a polyhedron, , Andreev’s Theorem provides five classes of linear inequalities, depending on , for the dihedral angles, which are necessary and sufficient conditions for the existence of a hyperbolic polyhedron realizing with the assigned dihedral angles. Andreev’s Theorem also shows that...
The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.
Miguel de Guzmán (2001)
RACSAM
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A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.
Metric distorsion and triangle maps.
Bonk, Mario, Cherry, William (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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