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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Displaying similar documents to “Divisible tilings in the hyperbolic plane.”
Tilings of the sphere with right triangles. II: The , subfamily.
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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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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Dihedral f-tilings of the sphere by equilateral and scalene triangles-I
A. M. D'Azevedo Breda, Patrícia S. Ribeiro, Altino F. Santos (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Tilings with the neighborhood property.
Fosnaugh, Linda S., Kramer, Earl S. (1996)
International Journal of Mathematics and Mathematical Sciences
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Properties of triangulations obtained by the longest-edge bisection
Francisco Perdomo, Ángel Plaza (2014)
Open Mathematics
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The Longest-Edge (LE) bisection of a triangle is obtained by joining the midpoint of its longest edge with the opposite vertex. Here two properties of the longest-edge bisection scheme for triangles are proved. For any triangle, the number of distinct triangles (up to similarity) generated by longest-edge bisection is finite. In addition, if LE-bisection is iteratively applied to an initial triangle, then minimum angle of the resulting triangles is greater or equal than a half of the...
Simple polygons with an infinite sequence of deflations.
Fevens, Thomas, Hernandez, Antonio, Mesa, Antonio, Morin, Patrick, Soss, Michael, Toussaint, Godfried (2001)
Beiträge zur Algebra und Geometrie
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Hyperbolas and orthologic triangles.
Čerin, Z. (1997)
Mathematica Pannonica
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Explorations and Discoveries in the Classroom
Judita Cofman (1998)
The Teaching of Mathematics
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On polygons and polyhedra
Siniša Vrećica (2005)
The Teaching of Mathematics
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Blueprint for a classic proof of the 4 colour theorem
Patrick Labarque (2010)
Visual Mathematics
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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...