Packing unit squares in a rectangle.
Nagamochi, Hiroshi (2005)
The Electronic Journal of Combinatorics [electronic only]
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Nagamochi, Hiroshi (2005)
The Electronic Journal of Combinatorics [electronic only]
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Mohanty, Yana (2003)
Algebraic & Geometric Topology
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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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Kearney, Michael J., Shiu, Peter (2002)
The Electronic Journal of Combinatorics [electronic only]
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Ligia-Loretta Cristea, Robert Franz Tichy (2003)
Mathematica Slovaca
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Grannell, M.J., Griggs, T.S., Knor, M. (2009)
The Electronic Journal of Combinatorics [electronic only]
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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...
Bölcskei, Attila (2000)
Beiträge zur Algebra und Geometrie
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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...
Dean, Alice M., Ellis-Monaghan, Joanna A., Hamilton, Sarah, Pangborn, Greta (2008)
The Electronic Journal of Combinatorics [electronic only]
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