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[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
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