000			03434cam a2200433 i 4500
003			UIASF
005			20240105153909.0
008			210624t20191973nyua b 001 0 eng
010			_a73084364
020			_a9780486614809
020			_a0486614808
035			_a444868
040			_aDLC _bspa _erda _cDLC _dUIASF
050		4	_aQA 691 _bC68.2019
100	1		_aCoxeter, H. S. M. _q(Harold Scott Macdonald), _d1907-2003 _eautor
245	1	0	_aRegular polytopes / _cH.S.M. Coxeter.
250			_aThird edition.
264		1	_aNew York : _bDover Publications, _c2019,
264		4	_c©1973.
300			_axiii, 321 páginas : _bilustraciones ; _c22 cm
336			_atexto _btxt _2rdacontent
337			_asin mediación _bn _2rdamedia
338			_avolumen _bnc _2rdacarrier
490	0		_aDover books on intermediate and advanced mathematics
504			_aIncluye referencias bibliográficas (páginas 306-314) e índice.
505	0		_aPolygons and polyhedra -- Regular and quasi-regular solids -- Rotation groups -- Tessellations and honeycombs -- Kaleidoscope -- Star-polyhedra -- Ordinary polytopes in higher space -- Truncation -- Poincare's proof of euler's formula -- Forms, vectors, and coordinates -- Generalized kaleidoscope -- Generalized petrie polygon -- Sections and projections -- Star-polytopes.
520			_aPolytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite! H.S.M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them. Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study.
650		0	_aPolytopes
650		4	_aPolitopos
650		0	_aPolyhedra
650		4	_aPoliedros
650		4	_aGeometría
650		4	_aConstrucciones geométricas
942			_2lcc _cNEWBFXC1
999			_c696894 _d696894
980			_851 _gRonald RUIZ