[SEARCH] [AUTHOR ID] [JOURNAL ID] [CLASS ID] [RESOURCES] [MSN HOME PAGE] [SEND MAIL] [HELP]
This query took 0.91 seconds


Matches for: Title=(magic square)

[PREV [CURR [NEXT Items: 1 - 184 of 184

Get marked items as:

[1] 1 490 287 Müller, Wolfgang Group actions on magic squares. Sém. Lothar. Combin. 39 (1997), Art. B39b, 14 pp. (electronic). 05B15

[2] 9 8g:01020 Sesiano, Jacques L'{\it Abrégé enseignant la disposition harmonieuse des nombres}, un manuscrit arabe anonyme sur la construction des carrés magiques. (French) [The Primer on the harmonious disposition of numbers, an anonymous Arab manuscript on the construction of magic squares] From Baghdad to Barcelona/De Bagdad a Barcelona, Vol. I, II (Zaragoza, 1993), 103--157, Anu. Filol. Univ. Barc., XIX B-2, Univ. Barcelona, Barcelona, 1996. (Reviewer: Victor J. Katz) 01A30

[3] 9 8f:05031 Padmakumar, T. V. Strongly magic squares. Fibonacci Quart. 35 (1997), no. 3, 198--205. (Reviewer: Rong Si Chen)05B15

[4] 9 8e:01007 Sesiano, Jacques Un traité médiéval sur les carrés magiques. (French) [A medieval treatise on magic squares] De l'arrangement harmonieux des nombres. [On the harmonious arrangement of numbers] Annotated edition and translation of an anonymous Arabic text describing various modes of construction. Presses Polytechniques et Universitaires Romandes, Lausanne, 1996. vi+208 pp. ISBN: 2-88074-310-9 (Reviewer: Julio Samsó-Moya) 01A30 (05-03)

[5] 9 8c:05034 Xu, Cheng-Xu; Lu, Zhun-Wei Pandiagonal magic squares. Computing and combinatorics (Xi'an, 1995), 388--391, Lecture Notes in Comput. Sci., 959, Springer, Berlin, 1995. 05B15

[6] 9 7k:41024 Jia, Rong-Qing Symmetric magic squares and multivariate splines. Linear Algebra Appl. 250 (1997), 69--103. (Reviewer: Ewald Quak) 41A 15 (05B15 05C78 41A63)

[7] 9 7k:05038 Robertson, John P. Magic squares of squares. Math. Mag. 69 (1996), no. 4, 289--293. (Reviewer: Rong Si Chen) 05B15

[8] 9 7h:20069 Cozar, Lionel Le semi-groupe libre des carrés magiques. (French) [The free semigroup of magic squares] J. Théor. Nombres Bordeaux 8 (1996), no. 1, 243--249. (Reviewer: Elena Bro\v zíková) 20M05 (05B15)

[9] 9 7f:01007 Sesiano, Jacques Herstellungsverfahren magischer Quadrate aus islamischer Zeit. III. (German) [Methods of construction of magic squares in medieval Islamic countries. III] Sudhoffs Arch. 79 (1995), no. 2, 193--226. (Reviewer: Y. Dold) 01A30

[10] 96g:05027 Feng, Gong Ji; Tong, Zi Rong; Xin, Zhu Ding Magic squares of order $4\sp n$ and dual matrices. Combinatorics and graph theory (Hefei, 1992), 5--13, World Sci. Publishing, River Edge, NJ, 1993. 05B15

[11] 96c:90152 Taylor, Alan; Zwicker, William Simple games and magic squares. J. Combin. Theory Ser. A 71 (1995), no. 1, 67--88. 90D12 (05B15)

[12] 96c:01017 Sesiano, Jacques Quelques méthodes arabes de construction des carrés magiques impairs. (French) [Some Arabic methods for constructing magic squares of odd order] Bull. Soc. Vaud. Sci. Nat. 83 (1994), no. 1, 51--76. (Reviewer: Victor J. Katz) 01A30 (05-03 05B15)

[13] 96b:05037 Feng, Gong Ji; Tong, Zi Rong; Xin, Zhu Ding Matrix translation products and strong magic squares. (Chinese) J. Hangzhou Univ. Natur. Sci. Ed. 21 (1994), no. 4, 374--382. (Reviewer: Rong Si Chen) 05B15

[14] 96b:05036 Bóna, Miklós There are a lot of magic squares! Stud. Appl. Math. 94 (1995), no. 4, 415--421. (Reviewer: Rong Si Chen) 05B15

[15] 95m:05049 Padmakumar, T. V. A juxtaposition property for the $4\times 4$ magic square. Fibonacci Quart. 32 (1994), no. 4, 290--292. (Reviewer: D. P. Roselle) 05B15

[16] 95m:05048 Lin, Peng Cheng A uniform construction for magic squares with even order. J. Math. Study 27 (1994), no. 2, 26--32. (Reviewer: Ren Ding) 05B15

[17] 95b:05035 Abe, Gakuh\=o Unsolved problems on magic squares. Graph theory and applications (Hakone, 1990). Discrete Math. 127 (1994), no. 1-3, 3--13. (Reviewer: Rong Si Chen) 05B15

[18] 94m:05042 Lu, Xian; Li, Xiuo Fen The structure of magic squares of even order. (Chinese) J. Yiyang Teachers College 10 (1993), no. 6, 16--22, 65. (Reviewer: Rong Si Chen) 05B15

[19] 94j:05030 Dénes, József; Mullen, Gary L. Additional conjectures concerning magic squares. Pure Math. Appl. Ser. A 3 (1992), no. 3-4, 155--160 (1993). (Reviewer: Rong Si Chen) 05B15

[20] 94i:05019 Uko, Livinus U. Magic squares and magic formulae. Math. Sci. 18 (1993), no. 2, 67--72. 05B30

[21] 93d:05028 Shapiro, Daniel B. A replication property for magic squares. Math. Mag. 65 (1992), no. 3, 175--181. (Reviewer: Rong Si Chen) 05B15

[22] 93c:05031 Sammons, William A. Magic squares and groups. Bull. Inst. Math. Appl. 27 (1991), no. 8-9, 161--172. 05B15

[23] 93c:01012 Sesiano, Jacques An Arabic treatise on the construction of bordered magic squares. Dual English-Arabic text. Historia Sci. No. 42 (1991), 13--31. (Reviewer: Qaiser Mushtaq) 01A30

[24] 93b:01013 Datta, Bibhutibhusan; Singh, Awadhesh Narayan Magic squares in India. Revised by Kripa Shankar Shukla. Indian J. Hist. Sci. 27 (1992), no. 1, 51--120. (Reviewer: A. I. Volodarski\u\i) 01A32

[25] 92m:05039 Liang, Pei Ji; Sun, Rong Guo; Ku, Tunghsin; Zhu, Lie A construction of addition-multiplication magic squares using orthogonal diagonal Latin squares. J. Combin. Math. Combin. Comput. 11 (1992), 173--181. 05B15

[26] 92k:17040 Arcuri, Regina C. Conformal and critical embeddings, infinite magic square, and a new Clifford product. J. Math. Phys. 32 (1991), no. 7, 1890--1899. (Reviewer: Edward P. Osipov) 17B67 (15A66)

[27] 92h:05024 Li, Li Using orthogonal Latin squares to construct double magic squares. (Chinese) Nei Mongol Daxue Xuebao Ziran Kexue 22 (1991), no. 4, 440--446. (Reviewer: Wen Li Chen) 05B15

[28] 92d:05039 Tang, Yu Ming A proof of an algorithm for adding sides to bordered magic squares. (Chinese) Acta Sci. Natur. Univ. Jilin. 1990, no. 3, 22--26. 05B30

[29] 92d:05037 Henrich, Christopher J. Magic squares and linear algebra. Amer. Math. Monthly 98 (1991), no. 6, 481--488. (Reviewer: Hugo S. Sun) 05B30 (15A03 51E30)

[30] 92c:05034 Lakhany, A. M. Method of duplication for developing magic squares of even order. Bull. Inst. Math. Appl. 27 (1991), no. 4, 85--88. 05B15

[31] 92b:05012 Eckhardt, Donald H. Cyclic groups and the generation of La Loubère magic squares. Math. Mag. 63 (1990), no. 5, 315--320. (Reviewer: Heiko Harborth) 05B15 (11B39)

[32] 91k:05024 Peters, James V. Iteration by literation and magic squares. Internat. J. Math. Ed. Sci. Tech. 21 (1990), no. 1, 81--85. 05B15

[33] 91h:05027 Sun, Hugo S. H.; Wen, Yi Xin The magic group MG and its action on magic squares of order $4$. (Chinese) Sichuan Daxue Xuebao 26 (1989), Special Issue, 80--85. (Reviewer: Ji Zhong) 05B15

[34] 91c:05041 van den Essen, Arno Magic squares and linear algebra. Amer. Math. Monthly 97 (1990), no. 1, 60--62. (Reviewer: Heiko Harborth) 05B15 (15-01)

[35] 91b:05045 Qian, Jian Ping A short proof of the existence of magic squares. Ars Combin. 28 (1989), 252--257. (Reviewer: Ji Zhong) 05B15

[36] 90k:05041 Mahdihassan, S. Comparing the designs of "nine-square" and the corresponding magic square. Proc. Pakistan Acad. Sci. 25 (1988), no. 4, 365--370. 05B15

[37] 90j:05038 Huang, Da Hai Four algorithms for constructing magic squares. (Chinese) J. Southeast Univ. 19 (1989), no. 2, 66--74. (Reviewer: Ji Zhong) 05B15 (68R05)

[38] 90h:05029 Li, Li The fastest method for constructing best snowflake magic squares of the second class of order $4n$. (Chinese) Chinese Quart. J. Math. 3 (1988), no. 4, 62--68. (Reviewer: Hugo S. Sun) 05B15

[39] 90g:05053 Stock, Daniel L. Merlin's magic square revisited. Amer. Math. Monthly 96 (1989), no. 7, 608--610. (Reviewer: Dieter Jungnickel) 05B15 (90D42)

[40] 90f:05026 Sun, Rong Guo On existence of pandiagonal magic squares. Ars Combin. 27 (1989), 56--60. (Reviewer: Heiko Harborth) 05B15

[41] 90f:05024 Ou yang, Lu Magic squares of even order. (Chinese) Hunan Jiaoyu Xueyuan Ziran Kexue Xuebao 6 (1988), no. 2, 1--18. (Reviewer: Hugo S. Sun) 05B15

[42] 90f:05023 Li, Li All-symmetric magic squares of order $4n$ constructed from blocks of equivalent all-symmetric magic squares of order $4$ of the first class. (Chinese) Chinese Quart. J. Math. 2 (1987), no. 3, 76--81. (Reviewer: Ren Ding) 05B15

[43] 90d:05045 Chia, Gek Ling A construction for magic squares of composite order. Menemui Mat. 11 (1989), no. 1, 1--9. (Reviewer: Sharad S. Sane) 05B15

[44] 89j:05024 Li, Li A very fast method for constructing totally symmetric magic squares of order $4n$. (Chinese) Adv. in Math. (Beijing) 17 (1988), no. 1, 85--90. (Reviewer: Siu Lun Ma) 05B30

[45] 89j:05021 Li, Li The fastest method of constructing best snowflake magic squares of order $4n$. (Chinese) Neimenggu Daxue Xuebao 19 (1988), no. 1, 1--8. (Reviewer: Ding Zhu Du) 05B15

[46] 89i:05062 Small, Charles Magic squares over fields. Amer. Math. Monthly 95 (1988), no. 7, 621--625. (Reviewer: E. J. F. Primrose) 05B15 (05B20 15A03)

[47] 89i:05059 Li, Li The fastest method of constructing all-symmetric magic squares of the fourth kind of order $4n$. (Chinese) Neimenggu Daxue Xuebao 19 (1988), no. 1, 9--18. (Reviewer: Ding Zhu Du) 05B15

[48] 89g:05033 Hanafi, A. R. Some generalizations of magic squares. Riazi J. Karachi Math. Assoc. 9 (1987), 9--22. (Reviewer: Heiko Harborth) 05B15

[49] 89e:01010 Sesiano, Jacques Herstellungsverfahren magischer Quadrate aus islamischer Zeit. II\cprime. (German) [Methods from Islamic times for the construction of magic squares. II ] Sudhoffs Arch. 71 (1987), no. 1, 78--89. (Reviewer: Y. Dold) 01A30

[50] 88m:05017 Chia, G. L. A note concerning the number of odd-order magic squares. Fibonacci Quart. 24 (1986), no. 4, 328--331. (Reviewer: D. A. Klarner) 05B15 (05A15)

[51] 88m:01013 Mahdihassan, S. The origin and significance of the "magic square" in Islamic alchemy. Proc. Pakistan Acad. Sci. 24 (1987), no. 3, 261--275. (Reviewer: Jan P. Hogendijk) 01A30

[52] 88k:01016 Hayashi, Takao Var\=ahamihira's pandiagonal magic square of the order four. Historia Math. 14 (1987), no. 2, 159--166. (Reviewer: A. I. Volodarski\u\i) 01A32

[53] 88j:05009 Ollerenshaw, Kathleen On "most perfect" or "complete" $8\times 8$ pandiagonal magic squares. Proc. Roy. Soc. London Ser. A 407 (1986), no. 1833, 259--281. (Reviewer: R. A. Brualdi) 05B15

[54] 88i:01020 Singh, Parmanand N\=ar\=aya\d na's treatment of magic squares. Indian J. Hist. Sci. 21 (1986), no. 2, 123--130. (Reviewer: A. I. Volodarski\u\i) 01A32

[55] 88h:05029 Ku, Y. H.; Chen, Nan-Xian On systematic procedures for constructing magic squares. J. Franklin Inst. 321 (1986), no. 6, 337--350. 05B15

[56] 88f:62108 Hedayat, A. On a statistical optimality of magic squares. Statist. Probab. Lett. 5 (1987), no. 3, 191--192. (Reviewer: Ryoh Fuji-Hara) 62K05 (05B15)

[57] 88a:05030 Pelletier, Don Merlin's magic square. Amer. Math. Monthly 94 (1987), no. 2, 143--150. (Reviewer: D. A. Klarner) 05B15

[58] 88a:05028 Ku, Y. H.; Chen, Nan-Xian Some theorems on construction of magic squares. J. Franklin Inst. 322 (1986), no. 5-6, 253--266. (Reviewer: D. A. Klarner) 05B15

[59] 87j:05043 Li, Lì Completely symmetric magic squares of order $4n$ constructed using equivalent completely symmetric magic square building blocks of order $4$ of the fourth kind. (Chinese) Neimenggu Daxue Xuebao 16 (1985), no. 4, 501--506. 05B15

[60] 87g:05048 Li, Lì Some interesting magic squares. (Chinese) Exploration Nature 3 (1984), no. 4, 179--181. 05B15

[61] 87g:05046 Hanafi, A. R. Construction of a large number of magic squares of odd order. (Urdu) Tehqique 1 (1983), no. 1, 39--48. 05B15

[62] 87e:17028 Truini, P.; Olivieri, G.; Biedenharn, L. C. The Jordan pair content of the magic square and the geometry of the scalars in $N=2$ supergravity. Lett. Math. Phys. 9 (1985), no. 3, 255--261. (Reviewer: Ji\v rí Niederle) 17C 40 (53C35 53C80 83E50)

[63] 87e:17012 Yokota, Ichiro Nonsymmetry of the Freudenthal's magic square. J. Fac. Sci. Shinshu Univ. 20 (1985), no. 1, 13. 17B25 (22E60)

[64] 87e:05031 Li, Lì Ways of constructing diabolic magic squares of order $6m± 1$. (Chinese) Neimenggu Daxue Xuebao 16 (1985), no. 2, 143--169. (Reviewer: Ding Zhu Du) 05B15

[65] 86k:05024 Hanafi, A. R. Magic squares of even orders. Riazi J. Karachi Math. Assoc. 6 (1984), 17--24. (Reviewer: D. A. Klarner) 05B15

[66] 86e:05017 Cong, Ji Quan Generation of magic squares of order $2\sp m$. (Chinese) Math. Practice Theory 1984, no. 1, 26--34. (Reviewer: Frank K. Hwang) 05B15

[67] 86d:05021 Chia, Gek Ling CDS-matrices and magic squares. Menemui Mat. 6 (1984), no. 3, 117--127. (Reviewer: Robert Girse) 05B15

[68] 86c:05041 Li, Lì Three theorems on completely symmetric magic squares. (Chinese) Neimenggu Daxue Xuebao 15 (1984), no. 3, 251--263. (Reviewer: Hugo S. Sun) 05B15

[69] 86a:05024 Johnson, Allan William, Jr. On pandiagonal symmetrical magic squares of order $6$. J. Recreational Math. 16 (1983/84), no. 4, 263--267. (Reviewer: Robert Girse) 05B15

[70] 85m:83077 Günaydin, M.; Sierra, G.; Townsend, P. K. Exceptional supergravity theories and the magic square. Phys. Lett. B 133 (1983), no. 1-2, 72--76. 83E50 (17C40)

[71] 85h:01002 Schaaf, William L. Early books on magic squares. J. Recreational Math. 16 (1983/84), no. 1, 1--6. 01A 05 (00A08 00A15 05B15)

[72] 85g:05040 Tao, Zhao Min General methods for constructing even order magic squares and odd order orthogonal Latin squares. (Chinese) Acta Math. Appl. Sinica 6 (1983), no. 3, 276--281. (Reviewer: A. C. Liu) 05B15

[73] 85g:05036 Li, Li Three theorems on magic squares. (Chinese) Neimenggu Daxue Xuebao 13 (1982), no. 1, 1--19. (Reviewer: A. C. Liu) 05B15

[74] 85e:05032 Chee, P. S.; Chia, G. L. Construction of magic squares by composition. Menemui Mat. 5 (1983), no. 2, 51--62. (Reviewer: A. R. Hanafi) 05B15

[75] 85d:05059 Hanafi, A. R. Magic squares of odd order. Riazi J. Karachi Math. Assoc. 4 (1982), 49--53. 05B15

[76] 85d:05054 Chia, Gek Ling Compositions of magic squares and pandiagonality. Menemui Mat. 5 (1983), no. 3, 111--121. (Reviewer: A. R. Hanafi) 05B15

[77] 85b:05041 Proskurowski, W\l odzimierz; Proskurowski, Andrzej Construction of pandiagonal magic squares from circulant pandiagonal matrices. Ars Combin. 15 (1983), 153--162. (Reviewer: J. Dénes) 05B15

[78] 85a:05018 Borkovitz, D.; Hwang, F. K. Multiplicative magic squares. Discrete Math. 47 (1983), no. 1, 1--11. (Reviewer: A. R. Hanafi) 05B15

[79] 84i:05031 Ollerenshaw, Kathleen; Bondi, Hermann Magic squares of order four. Philos. Trans. Roy. Soc. London Ser. A 306 (1982), no. 1495, 443--532. (Reviewer: D. A. Klarner) 05B15 (01A99)

[80] 84h:05025 Kuo, Tien Tao The construction of doubly-even magic squares. J. Recreational Math. 15 (1982/83), no. 2, 94--104. (Reviewer: A. R. Hanafi) 05B15

[81] 84g:05032 Ashakiran, Y. C. On the construction of singly magic squares of order $4$. Math. Ed. (Siwan) 16 (1982), no. 4, 63--64. 05B15 (01A32)

[82] 84g:01019 Singh, Parmanand Total number of perfect magic squares: N\=ar\=aya\d na's rule. Math. Ed. (Siwan) 16 (1982), no. 2, 32--37. (Reviewer: A. I. Volodarski\u \i) 01A32 (05B15)

[83] 84d:05046 Johnson, Allan William, Jr. A sixth-order prime magic square. J. Recreational Math. 15 (1982/83), no. 3, 199. 05B15

[84] 84b:05031 Liang, Pei Ji Doublemagic squares. (Chinese) J. Math. Res. Exposition 2 (1982), no. 2, 14. 05B15

[85] 83j:05016 Chee, P. S. Magic squares. Menemui Mat. 3 (1981), no. 1, 15--40. (Reviewer: A. R. Hanafi) 05B15 (05-03)

[86] 83i:01019 Folkerts, Menso Zur Frühgeschichte der magischen Quadrate in Westeuropa. (German) [On the early history of magic squares in Western Europe] Sudhoffs Arch. 65 (1981), no. 4, 313--338. (Reviewer: H. L. L. Busard) 01A35 (01A40 05B15)

[87] 83i:01016b Sesiano, Jacques Herstellungsverfahren magischer Quadrate aus islamischer Zeit. II. (German) [Methods from Islamic times for the construction of magic squares. II] Sudhoffs Arch. 65 (1981), no. 3, 251--265. (Reviewer: Y. Dold) 01A30 (05B15)

[88] 83i:01016a Sesiano, Jacques Herstellungsverfahren magischer Quadrate aus islamischer Zeit. I. (German) [Methods from Islamic times for the construction of magic squares. I] Sudhoffs Arch. 64 (1980), no. 2, 187--196. (Reviewer: Y. Dold) 01A30 (05B15)

[89] 83e:05030 Dickerson, Loren L. An expansion of Golubev's $11\times 11$ magic square of primes to its maximum, $21\times 21$. A collection of manuscripts related to the Fibonacci sequence, pp. 52--54, Fibonacci Assoc., Santa Clara, Calif., 1980. 05B30

[90] 83d:01005 Abe, Gakuh\=o Sh\=utar\=o Teramura and the recent progress of studies of magic squares in Japan. (Japanese) Sûgakushi Kenkyû No. 86 (1980), 14--21. (Reviewer: Joong Fang) 01A27 (05-02 05B15)

[91] 83c:05035 Schostack, Günter Magische Quadrate gerader Felderanzahl. I. (German) [Magic squares with even number of fields. I] Praxis Math. 24 (1982), no. 4, 110--112. 05B30 (05-04)

[92] 83b:05046 Trigg, Charles W. Two families of twelfth-order magic squares. A collection of manuscripts related to the Fibonacci sequence, pp. 127--130, Fibonacci Assoc., Santa Clara, Calif., 1980. (Reviewer: G. L. Alexanderson) 05B30

[93] 83b:05029 Peters, J. M. H. Magic squares and matrices. Inverses and cubes. Math. Gaz. 65 (1981), no. 434, 253--254. 05B20

[94] 83a:05038 Reiner, Brian S. Magic squares and matrices. A simple construction. Math. Gaz. 65 (1981), no. 434, 250--252. (Reviewer: A. R. Hanafi) 05B15

[95] 83a:01010 Saidan, A. S. Magic squares in an Arabic manuscript. J. Hist. Arabic Sci. 4 (1980), no. 1, 87--89. (Reviewer: J. L. Berggren) 01A30

[96] 82j:05041 Trigg, Charles W. A family of sixteenth order magic squares. J. Recreational Math. 13 (1980/81), no. 4, 269--273. 05B30 (05B15)

[97] 82b:05029 Bakos, Tibor Magic square of prime numbers. (Hungarian) Mat. Lapok 28 (1980), no. 1-3, 119--120. (Reviewer: J. Dénes) 05B15 (10A25)

[98] 81k:05031 Hanafi, A. R. Magic squares of order seven and eight. Karachi Math. Assoc. Riazi (Souvenir) 3 (1980), 51--56. 05B30

[99] 81j:05042 Spencer, Joel Counting magic squares. Amer. Math. Monthly 87 (1980), no. 5, 397--399. (Reviewer: H. Gupta) 05B30 (05A15)

[100] 81f:05050 Ward, James E., III Vector spaces of magic squares. Math. Mag. 53 (1980), no. 2, 108--111. (Reviewer: K. T. Phelps) 05B30 (05B20)

[101] 81e:05051 Benson, William H. Magic squares composed of consecutive odd prime numbers. J. Recreational Math. 12 (1979/80), no. 4, 248--250. 05B30 (10A99)

[102] 81c:01006 Abe, Gakuh\=o On "Goh\=ojin Hens\=u Jutzu (the methods of transformation of magic squares of order $5$)". (Japanese) Sûgakushi Kenkyû No. 83 (1979), 53--62. (Reviewer: S. Hitotumatu) 01A27 (05-03 05B15)

[103] 80a:05052 Hanafi, A. R. Magic squares of fifth and sixth orders. Karachi Math. Assoc. Riazi (Souvenir) 1978, 44--49. (Reviewer: C. G. Wagner) 05B30

[104] 58 #21037 Takagi, Shigeo The history of the magic square. (Japanese) Sûgakushi Kenkyû No. 55 (1972), 51--68. (Reviewer: S. Hitotumatu) 01A25 (05-03)

[105] 56 #15460 Ratnalikar, D. V. On the use of magic square of order four. Math. Education 11 (1977), no. 3, B47--B48. (Reviewer: J. B. Kelly) 05B05

[106] 56 #2865 Stanley, Richard P. Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings. Duke Math. J. 43 (1976), no. 3, 511--531. (Reviewer: S. G. Hoggar) 05C30 (13H10)

[107] 55 #112 Abe, Gakuh\=o Magic squares that occur in Yang-Hui's mathematics. (Japanese) Sûgakushi Kenkyû No. 70 (1976), 11--32. (Reviewer: S. Hitotumatu) 05-03 (01A25)

[108] 52 #10450 Hahn, H. S. Another property of magic squares. Fibonacci Quart. 13 (1975), no. 3, 205--208. (Reviewer: Heiko Harborth) 05B15

[109] 52 #3033 Trigg, Charles W. Antimagic squares derived from the third-order magic square. Fibonacci Quart. 12 (1974), 387--390. (Reviewer: L. K. Durst) 10A30

[110] 51 #13154 Le gg, David; War d, Joe A generalized magic square. Amer. Math. Monthly 82 (1975), no. 9, 925--926. (Reviewer: James Baumgartner) 04A15 (26A42)

[111] 50 #4354 Yap, Leonard Y. H. Proof of a conjecture about magic squares. Bull. Singapore Math. Soc. 1972, 45--51. (Reviewer: R. C. Mullin) 05B30

[112] 49 #83 Feser, Victor A nested prime number magic square. Pi Mu Epsilon J. 5, 496. (1974). 05B15

[113] 49 #12 Ionescu, Dan Raul Researches on antic magic squares and cubes. Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 16(64) (1972), no. 2, 173--190 (1973). (Reviewer: E. B. Allen) 01A55 (05B15)

[114] 46 #3353 Johnson, C. R. A matrix theoretic construction of magic squares. Amer. Math. Monthly 79 (1972), 1004--1006. (Reviewer: Morris Newman) 05B99

[115] 45 #3309 Hudson, Carolyn Brauer On pandiagonal magic squares of order $6t± 1$. Math. Mag. 45 (1972), 94--96. 10A45

[116] 41 #6703 Michiwaki, Yoshimasa; Moriyama, Yoshio A note on perfect and magic square. VI. (Japanese) Res. Rep. Nagaoka Tech. College 5 1969 207--214. (Reviewer: A. Kobori) 05.24 (01.00)

[117] 39 #84 Michiwaki, Yoshimasa; Moriyama, Yoshio A note on perfect and magic square. V. (Japanese) Res. Rep. Nagaoka Tech. College 4 1968 123--134 (1968). (Reviewer: K. Yamamoto) 05.24

[118] 39 #83 Michiwaki, Yoshimasa; Moriyama, Yoshio A note on perfect and magic square. IV. (Japanese) Res. Rep. Nagaoka Tech. College 3 1967 19--30 (1967). (Reviewer: A. Kobori) 05.24

[119] 37 #3941 Knuth, D. E. Very magic squares. Amer. Math. Monthly 75 1968 260--264. (Reviewer: J. B. Kelly) 05.24 (10.00)

[120] 37 #134 Freitag, Herta T. A magic square involving Fibonacci numbers. Fibonacci Quart 6 1968 77--80. 10.05 (05.00)

[121] 36 #1044 Phillips, J. P. N. Correction to: "The use of magic squares for balancing and assessing order effects in some analysis of variance designs". Appl. Statist. 15 1966 151. 62.56

[122] 31 #5299 Phillips, J. P. N. The use of magic squares for balancing and assessing order effects in some analysis of variance designs. Appl. Statist. 13 1964 67--73. 62.60 (62.56)

[123] 23 #A156 Ratliff, L. J., Jr. The dimension of the magic square vector space. Amer. Math. Monthly 66 1959 793--795. (Reviewer: C. Davis) 15.05

[124] 22 #10916 Andress, W. R. Basic properties of pandiagonal magic squares. Amer. Math. Monthly 67 1960 143--152; correction, 658. (Reviewer: J. Riordan) 05.00

[125] 22 #7948 Eperson, D. B. Magic square patterns. Math. Gaz. 43 1959 273--274. 05.00

[126] 22 #5582 Andrews, W. S. Magic squares and cubes. With chapters by other writers. 2nd ed., revised and enlarged Dover Publications, Inc., New York 1960 vii+419 pp. 05.00

[127] 20 #3156 Sagle, Arthur A. A relationship between semi-magic squares and permutation matrices. Amer. Math. Monthly 64 1957 658--659. (Reviewer: C. Davis) 15.00

[128] 19,242d Khan, N. A. Characteristic roots of semi-magic square matrices. Amer. Math. Monthly 64 (1957), 261--263. (Reviewer: R. J. Walker) 15.0X

[129] 18,284e Langford, C. Dudley Super magic squares. Math. Gaz. 40 (1956), 86--97. (Reviewer: R. J. Walker) 10.0X

[130] 17,227d Booth, A. D.; Booth, K. H. V. On magic squares. Math. Gaz. 39 (1955), 132--133. (Reviewer: R. J. Walker) 05.0X

[131] 17,227c Horner, Walter W. Addition-multiplication magic square of order $8$. Scripta Math. 21 (1955), 23--27. (Reviewer: R. J. Walker) 05.0X

[132] 16,894i Weiner, L. M. The algebra of semi-magic squares. Amer. Math. Monthly 62, (1955). 237--239. (Reviewer: R. J. Walker) 09.0X

[133] 16,335f Kale, M. N. A note on the magic square of $9$ cells. Math. Student 22, (1954). 144--145. (Reviewer: R. J. Walker) 10.0X

[134] 15,601f Kale, M. N. A note on magic squares of $9$ cells. Math. Student 21 (1953), 107--108 (1954). (Reviewer: R. J. Walker) 10.0X

[135] 13,321m Apostol, T. M.; Zuckerman, Herbert S. On magic squares constructed by the uniform step method. Proc. Amer. Math. Soc. 2, (1951). 557--565. (Reviewer: D. H. Lehmer) 10.0X

[136] 12,804a Watson, G. L. Pandiagonal and symmetrical magic squares. Math. Gaz. 35, (1951). 108--109. 10.0X

[137] 12,10f Leeuwenkuijl, M.; S chuh, Fred Concerning odd magic squares. (Dutch) Nieuw Tijdschr. Wiskunde 37, (1950). 289--294. (Reviewer: H. S. M. Coxeter) 10.0X

[138] 11,229b Chater, N.; Chater, W. J. On the determinants of pan-magic squares of even order. Math. Gaz. 33, (1949). 94--98. (Reviewer: R. J. Walker) 10.0X

[139] 9,411g Guttman, Solomon Universal magic squares and multigrade equations. Scripta Math. 13, (1947). 187--202. (Reviewer: N. G. W. H. Beeger) 10.0X

[140] 3,267c Vijayaraghavan, T. On Jaina magic squares. Math. Student 9, (1941). 97--102. (Reviewer: R. J. Walker) 10.0X

[141] 3,267b Candy, Albert L. Supplement to Pandiagonal Magic Squares of Prime Order. Albert L. Candy, Lincoln, Neb., 1942. iii+30 pp. (Reviewer: H. S. M. Coxeter) 10.0X

[142] 3,97i McCoy, John Calvin Manuel Moschopoulos's treatise on magic squares. Scripta Math. 8, (1941). 15--26. (Reviewer: O. Neugebauer) 01.0X

[143] 2,247b Candy, Albert L. Pandiagonal Magic Squares of Composite Order. Albert L. Candy, Lincoln, Neb., 1941. x+155 pp. (Reviewer: H. S. M. Coxeter) 10.0X

[144] 1,290h Candy, Albert L. Pandiagonal Magic Squares of Prime Order. Published by the author, Lincoln, Neb., 1940. v + 93 pp. (Reviewer: H. S. M. Coxeter) 10.0X

[145] 1,290g van Driel, M.-J. A Supplement to Magic Squares of $(2n+1)\sp 2$ Cells. Rider & Co., London, 1939. 31 pp. (Reviewer: H. S. M. Coxeter) 10.0X

[146] 1,290f van Driel, M.-J. Magic squares of $(2n+1)\sp 2$ Cells. Rider & Co., London, 1936. 90 pp. (Reviewer: H. S. M. Coxeter) 10.0X

[147] 1,133g Rosser, Barkley; Walker, R. J. The algebraic theory of diabolic magic squares. Duke Math. J. 5, (1939). 705--728. (Reviewer: H. S. M. Coxeter) 10.0X

[148] 1,133f Venkatasubbiah, G. Methods of constructing magic squares. Math. Student 7, (1939). 101--107. (Reviewer: R. J. Walker) 10.0X

[149] 1,65b Stern, Erich General formulas for the number of magic squares belonging to certain classes. Amer. Math. Monthly 46, (1939). 555--581. (Reviewer: D. H. Lehmer) 10.0X

[150] 1,39a Travers, J. Rules for bordered magic squares. Math. Gaz. 23, (1939). 349--351. 10.0X

[151] 1 614 296 Karpenko, Vladimír Tajemství magick\'ych \v ctverc\ocirc u. (Czech) [The secret of magic squares] P\ocirc udorys, Prague, 1997. 200 pp. ISBN: 80-86018-03-2 05B15

[152] 1 613 296 Li, Chao Constructing magic squares of order $mn$ using magic squares of order $m$. (Chinese) Hunan Jiaoyu Xueyuan Xuebao (Ziran Kexue) 15 (1997), no. 5, 116--121. 05B15

[153] 1 604 557 Li, Ying Jie; Pan, Yan Zhong; Chen, Rong Sheng A method for constructing a class of multiplier magic squares of even order with nongeometric progressions. (Chinese) Acta Sci. Natur. Univ. Jilin. 1997, no. 2, 17--21. 05B15

[154] 1 483 223 Bellew, James Counting the number of compound and Nasik magic squares. Math. Today (Southend-on-Sea) 33 (1997), no. 4, 111--118. 05B05

[155] 1 470 306 Chia, G. L. A construction for pandiagonal magic squares using CDS-matrices. Bull. Inst. Combin. Appl. 21 (1997), 59--64. 05B15

[156] 1 456 332 We n, Yihui; Sun , Hugo Note on magic squares and magic cubes on abelian groups. J. Math. Res. Exposition 17 (1997), no. 2, 176--178. 05B15

[157] 1 436 523 Duan, Ying Quan An approach to the construction of magic squares. (Chinese) Guizhou Shifan Daxue Xuebao Ziran Kexue Ban 14 (1996), no. 3, 66--73. 05B15

[158] 1 431 952 Balof, Barry A.; Watkins, John J. Knight's tours and magic squares. Proceedings of the Twenty-seventh Southeastern International Conference on Combinatorics, Graph Theory and Computing (Baton Rouge, LA, 1996). Congr. Numer. 120 (1996), 23--32. 05B15

[159] 1 430 263 Li, Ying Jie; Shen, Che Ming; Chen, Rong Sheng Construction of product magic squares. (Chinese) J. Tianjin Univ. 29 (1996), no. 3, 460--465. 05B15

[160] 1 416 982 Mudge, M. R. Examples of Smarandache magic squares. Smarandache Notions J. 7 (1996), no. 1-3, 83--85. 05B15

[161] 1 407 566 Li, Chao Constructions of orthogonal Latin squares and magic squares using linear congruence transformations. (Chinese) Acta Math. Appl. Sinica 19 (1996), no. 2, 231--238. 05B15

[162] 1 397 540 Zhu, Jiacheng; Sun, Rongguo; Cheng, Murong A construction of addition-multiplication magic square of order $18$. Shanghai Conference Issue on Designs, Codes, and Finite Geometries, Part 2 (Shanghai, 1993). J. Statist. Plann. Inference 51 (1996), no. 3, 331--337. 05B15

[163] 1 393 139 Liao, Fu Cheng Constructing pandiagonal magic squares of order $sk$ from $s\times k$ matrices. (Chinese) Neimenggu Daxue Xuebao Ziran Kexue 27 (1996), no. 2, 154--159. 05B15

[164] 1 347 043 Ou yang, Lu; Chen, Yi Ze A necessary and sufficient condition for the construction of magic squares using transposition matrices. (Chinese) Hunan Jiaoyu Xueyuan Xuebao (Ziran Kexue) 13 (1995), no. 2, 1--10. 05B15

[165] 1 342 926 Li, Chao Construction of magic squares using ${\rm AB}$ squares and horizontal-vertical exchange charts. (Chinese) J. East China Norm. Univ. Natur. Sci. Ed. 1994, no. 4, 1--9. 05B15

[166] 1 338 705 Li, Chao Construction of magic squares using horizontal and vertical network charts. (Chinese) Hunan Jiaoyu Xueyuan Xuebao (Ziran Kexue) 12 (1994), no. 5, 131--138, 193. 05B15

[167] 1 329 934 Huang, Zheng Hai Some constructions of odd order orthogonal Latin squares and odd order magic squares. (Chinese) Math. Practice Theory 1994, no. 3, 61--69. 05B15

[168] 1 282 421 Zheng, Rong Hui; Lin, Ke Rong; Chen, Rong Si A method for constructing even order magic squares by a common general formula. (Chinese) J. Fuzhou Univ. Nat. Sci. Ed. 21 (1993), no. 4, 104--105. 05B15

[169] 1 282 417 Zheng, Rong Hui; Lin, Ke Rong; Chen, Rong Si A uniform method for constructing magic squares with even order. (Chinese) J. Fuzhou Univ. Nat. Sci. Ed. 21 (1993), no. 4, 9--14. 05B15

[170] 1 282 125 Zheng, Rong Hui; Lin, Ke Rong; Chen, Rong Si A new method for constructing magic squares. (Chinese) J. Fuzhou Univ. Nat. Sci. Ed. 20 (1992), no. 4, 5--9. 05B15

[171] 1 280 166 Feng, Gong Ji; Tong, Zi Rong; Xin, Zhu Ding Dual matrices of order $5\sp n$ satisfying the strong magic condition, and magic squares. (Chinese) J. Hangzhou Univ. Natur. Sci. Ed. 21 (1994), no. 2, 146--152. 15A57 (05B15)

[172] 1 235 745 Hanafi, A. R. Pandiagonal magic squares of even orders. Riazi J. Karachi Math. Assoc. 13 (1991), 37--54. 05B15

[173] 1 219 515 X u, Ya Wu A fast construction of double magic squares. (Chinese) Math. Practice Theory 1993, no. 1, 95--96. 05B15

[174] 1 200 680 Ma rcu, D. On finding magic squares of odd order. Polytech. Inst. Bucharest Sci. Bull. Chem. Materials Sci. 52 (1990), no. 3-4, 11--12. 05B15

[175] 1 198 859 Mahdihassan, S. The magic square of six. Proc. Pakistan Acad. Sci. 29 (1992), no. 4, 319--328. 05B15 (01A99)

[176] 1 197 021 He, Chao; He, Jian Xun A simple and fast method of constructing concentric magic squares of even order. (Chinese) J. Huazhong Univ. Sci. Tech. 20 (1992), no. 4, 185--188. 05B15

[177] 1 180 948 Mahdihassan, S. A comprehensive attempt to establish Jabir's magic square as emanating from the symbol of Venus as an eight-cornered star. Proc. Pakistan Acad. Sci. 29 (1992), no. 2, 179--183. 01A30 (01A17 05B15)

[178] 1 140 675 Mahdihassan, S. The designing and the make-up of the magic square of eight. Proc. Pakistan Acad. Sci. 27 (1990), no. 4, 361--378. 05B15

[179] 1 095 496 Das, Mrinal Kanti On concentric magic squares and magic squares of order $4n+2$. Internat. J. Math. Ed. Sci. Tech. 22 (1991), no. 2, 187--201. 05B15

[180] 1 086 145 Mahdihassan, S. A concise presentation of the magic square of nine. Proc. Pakistan Acad. Sci. 27 (1990), no. 2, 161--174. 05B15

[181] 1 086 144 Mahdihassan, S. An easy method of forming the magic square of nine. Proc. Pakistan Acad. Sci. 27 (1990), no. 2, 153--160. 05B15

[182] 815 739 Günaydin, M. Exceptional supergravity theories, Jordan algebras and the magic square. XIIIth international colloquium on group theoretical methods in physics (College Park, Md., 1984), 478--491, World Sci. Publishing, Singapore, 1984. 83E50 (17C10)

[183] 734 810 Johnson, Allan William, Jr. Pandiagonal prime magic squares of order $4$. J. Recreational Math. 16 (1983/84), no. 3, 193--195. 05B15

[184] 716 240 Abe, Gakuh\=o Irregular perfect magic squares of order $7$. J. Recreational Math. 15 (1982/83), no. 4, 249--250. 05B15


[PREV [CURR [NEXT Items: 1 - 184 of 184

© Copyright American Mathematical Society 1998