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2018, ISBN 9789813220478, x, 197 pages
A geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another... 
Freese, Ernest Irving, -1957 | Shapes | Geometric dissections | Mathematical recreations
Book
2018, 1, ISBN 1568812329, 776
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations... 
Geometry | Applied Mathematics | Foundations & Theorems | Twist mappings (Mathematics) | Tessellations (Mathematics) | Combinatorial designs and configurations | Tiling (Mathematics) | Origami-Mathematics
eBook
Discrete & computational geometry, ISSN 1432-0444, 2018, Volume 62, Issue 4, pp. 865 - 878
Journal Article
12/2017, ISBN 1568812329, 756
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations... 
Geometry | STMnetBASE | SCI-TECHnetBASE | assignment | Foundations & Theorems | MATHnetBASE | crease
eBook
Discrete & computational geometry, ISSN 0179-5376, 07/2018, Volume 60, Issue 1, pp. 170 - 199
Journal Article
Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 4/2017, Volume 69, Issue 2, pp. 303 - 331
Journal Article
Journal of computational physics, ISSN 0021-9991, 2016, Volume 312, pp. 175 - 191
Journal Article
11/2018, ISBN 9789813275164, Volume 3
Book
Discrete & Computational Geometry, ISSN 0179-5376, 3/2014, Volume 51, Issue 2, pp. 438 - 461
Given a subset K of the unit Euclidean sphere, we estimate the minimal number m=m(K) of hyperplanes that generate a uniform tessellation of K, in the sense... 
Dimension reduction | Computational Mathematics and Numerical Analysis | Hyperplane tessellations | Mean width | Embedding | Mathematics | Near isometry | Combinatorics | MATHEMATICS | SPACES | COMPUTER SCIENCE, THEORY & METHODS | Geometry | Computational mathematics | Tessellation | Reduction | Mathematical analysis | Hyperplanes | Texts | Distortion | Gaussian | Optimization
Journal Article
Discrete and continuous dynamical systems, ISSN 1078-0947, 09/2018, Volume 38, Issue 9, pp. 4555 - 4570
The quantization scheme in probability theory deals with finding a best approximation of a given probability distribution by a probability distribution that is... 
Cantor set | Probability distribution | Quantization error | Optimal quantizers | MATHEMATICS | MATHEMATICS, APPLIED | quantization error | probability distribution | optimal quantizers | CENTROIDAL VORONOI TESSELLATIONS | QUANTIZERS
Journal Article
The Annals of probability, ISSN 0091-1798, 5/2013, Volume 41, Issue 3, pp. 1115 - 1159
Journal Article
Mathematical problems in engineering, ISSN 1563-5147, 2019, Volume 2019, pp. 1 - 16
In this paper, a problem of packing hexagonal and dodecagonal sensors in a circular container is considered. We concentrate on the sensor manufacturing... 
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | OPTIMIZATION | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | Silicon | Sensors | Formulations | Silicon wafers | Hexagons | Containers | Computer engineering | Computational mathematics | Production costs | Polygons | Mathematical problems | Tessellation | Wireless networks | Apexes | Efficiency | Circularity | Apertures | Manufacturing
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 0027-8424, 3/2013, Volume 110, Issue 12, pp. 4518 - 4523
A classical theorem of MacMahon states that the number of lozenge tilings of any centrally symmetric hexagon drawn on the triangular lattice is given by a... 
Integers | Mathematical theorems | Hexagons | Triangles | Geometric planes | Mathematical lattices | Tiling | Tessellations | Condensation | Vertices | Exact enumeration | Perfect matchings | SYMMETRIES | perfect matchings | exact enumeration | TILINGS | MULTIDISCIPLINARY SCIENCES | CONJECTURE | Theorems (Mathematics) | Research | Mathematics - Combinatorics | Physical Sciences
Journal Article
1974, Pure and applied mathematics; a series of monographs and textbooks, ISBN 0124654509, Volume 61., xiv, 207
Book
Advances in mathematics (New York. 1965), ISSN 0001-8708, 11/2013, Volume 248, pp. 717 - 735
We study the p-independence of spectra of Laplace operators on graphs arising from regular Dirichlet forms on discrete spaces. Here, a sufficient criterion is... 
Regular Dirichlet forms | Cheeger constant | Planar tessellation | Discrete Laplace operator
Journal Article
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