000			02800cam a2200457 i 4500
003			OCoLC
005			20221101232644.0
008			950329s1995 si a b 001 0 eng d
010			_a 95160979
011			_aBIB MATCHES WORLDCAT
019			_a814209266
020			_a9810217048
020			_a9789810217044
035			_a(ATU)b16398920
035			_a(OCoLC)32221858
040			_aWU _beng _erda _cGZM _dDLC _dUIU _dBAKER _dBTCTA _dYDXCP _dGEBAY _dOCLCF _dDEBSZ _dOCLCO _dOCLCQ _dATU
042			_alccopycat
043			_af------ _aa------
050	0	4	_aN6260 _b.A23 1995
082	0	4	_a745.4 _223
100	1		_aAbas, S. J., _eauthor. _9914839
245	1	0	_aSymmetries of Islamic geometrical patterns / _cby Syed Jan Abas and Amer Shaker Salman ; with forewords by Ahmed Moustafa and Sir Michael Atiyah.
264		1	_aSingapore ; _aNew Jersey : _bWorld Scientific, _c[1995]
264		4	_c©1995
300			_axxii, 9 leaves of plates, 396 pages : _billustrations (some color) ; _c23 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references (pages 389-393) and index.
505	0		_a1. Islamic patterns and their geometrical structures. 1.1. Islamic patterns: an introduction. 1.2. Geometrical strategies and structures. 1.3. Concluding remarks -- 2. In praise of pattern, symmetry, unity & Islamic art. 2.1. In praise of pattern. 2.2. In praise of unity. 2.3. In praise of Islamic art. 2.4. Concluding remarks -- 3. The gateway from Islamic patterns to invariance and groups. 3.1. An example of symmetries of an Islamic pattern. 3.2. The key property of symmetric objects. 3.3. The symmetry group of an Islamic pattern. 3.4. Symmetry and groups in general. 3.5. The two grand questions and one that is grandest. 3.6. Concluding remarks -- 4. Classification, identification and construction of the seventeen types of two-dimensional periodic patterns. 4.1. Classification of patterns. 4.2. Examples of the seventeen types of patterns from Islamic art. 4.3. Identifying the seventeen pattern types. 4.4. Tile-based algorithms for the seventeen pattern types. 4.5. Concluding remarks -- 5. Islamic patterns and their symmetries. 5.1. Concluding remarks.
650		0	_aIslamic art. _9314034
650		0	_aIslamic art and symbolism. _9319584
650		0	_aArt _xMathematics _9727647
650		0	_aSymmetry (Art) _9324737
650		0	_aRepetitive patterns (Decorative arts) _zIslamic countries _9599736
700	1		_aSalman, Amer Shaker, _eauthor. _9914840
907			_a.b16398920 _b20-03-18 _c18-07-16
942			_cB
945			_a745.4 ABA _g1 _iA117453B _j0 _lcmain _o- _p$0.00 _q- _r- _s- _t0 _u1 _v6 _w0 _x1 _y.i13505269 _z18-07-16
998			_a(3)b _a(3)c _b20-03-18 _cm _da _feng _gsi _h0
999			_c1313568 _d1313568