Diagonal method of Yang Hui - Magisch vierkant

11x11 magic square

Diagonal method of Yang Hui

A ‘trick’ to construct the 11x11 magic square is the diagonal method of Yang Hui:

										1
									12		2
								23		13		3
							34		24		14		4
						45		35		25		15		5
					56		46		36		26		16		6
				67		57		47		37		27		17		7
			78		68		58		48		38		28		18		8
		89		79		69		59		49		39		29		19		9
	100		90		80		70		60		50		40		30		20		10
111		101		91		81		71		61		51		41		31		21		11
	112		102		92		82		72		62		52		42		32		22
		113		103		93		83		73		63		53		43		33
			114		104		94		84		74		64		54		44
				115		105		95		85		75		65		55
					116		106		96		86		76		66
						117		107		97		87		77
							118		108		98		88
								119		109		99
									120		110
										121

					56	117	46	107	36	97	26	87	16	77	6
					7	57	118	47	108	37	98	27	88	17	67
					68	8	58	119	48	109	38	99	28	78	18
					19	69	9	59	120	49	110	39	89	29	79
					80	20	70	10	60	121	50	100	40	90	30
					31	81	21	71	11	61	111	51	101	41	91
					92	32	82	22	72	1	62	112	52	102	42
					43	93	33	83	12	73	2	63	113	53	103
					104	44	94	23	84	13	74	3	64	114	54
					55	105	34	95	24	85	14	75	4	65	115
					116	45	106	35	96	25	86	15	76	5	66

You can use this method to construct magic squares of odd order from 3x3 to infinite and you get symmetric (but not pan)magic squares.

See 3x3, 5x5, 7x7, 9x9, 11x11, 13x13, 15x15, 17x17, 19x19, 21x21, 23x23, 25x25, 27x27, 29x29 and 31x31

11x11, Diagonal method of Yang Hui.xls

Microsoft Excel werkblad 10.4 KB

11x11 magic square