000			02617nam a22003378i 4500
001			CR9780511569371
003			UkCbUP
005			20200124160331.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090520s1983||||enk o ||1 0|eng|d
020			_a9780511569371 (ebook)
020			_z9780521245241 (hardback)
020			_z9780521543255 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA491 _b.W383 1983
082	0	0	_a516/.15 _219
100	1		_aWenninger, Magnus J., _eauthor.
245	1	0	_aDual models / _cMagnus J. Wenninger.
264		1	_aCambridge : _bCambridge University Press, _c1983.
300			_a1 online resource (xii, 156 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aThe five regular convex polyhedra and their duals -- The thirteen semiregular convex pholyhedra and their duals -- Stellated forms of convex duals -- The duals of nonconvex uniform polyhedra -- Some interesting polyhedral compounds.
520			_aIn Dual Models, written in the same enthusiastic style as its predecessors Polyhedron Models and Spherical Models, Magnus J. Wenninger presents the complete set of uniform duals of uniform polyhedral, thus rounding out a significant body of knowledge with respect to polyhedral forms. He begins with the simplest convex solids but then goes on to show how all the more difficult, non convex, uniform polyhedral duals can be derived from a geometric theorem on duality that unifies and systematizes the entire set of such duals. Many of these complex shapes are published here for the first time. Models made by the author are shown in photographs, and these, along with line drawings, diagrams, and commentary, invite readers to undertake the task of making the models, using index cards or tag paper and glue as construction materials. The mathematics is deliberately kept at the high school or secondary level, and hence the book presumes at most some knowledge of geometry and ordinary trigonometry and the use of a scientific type small electronic calculator. The book will be useful as enrichment material for the mathematics classroom and can serve equally well as a source book of ideas for artists and designers of decorative devices or simply as a hobby book in recreational mathematics.
650		0	_aPolyhedra _xModels.
776	0	8	_iPrint version: _z9780521245241
856	4	0	_uhttps://doi.org/10.1017/CBO9780511569371
999			_c522632 _d522630