Concentric 11x11 magic square - Magisch vierkant

11x11 magic square

Concentric 11x11 magic square

Start with a 3x3 magic square and put a border around the square again and again to get a 3x3 in 5x5 in 7x7 in 9x9 in ... magic square.

Take the 9x9 concentric magic square, add 22 to all numbers and construct the border [see webpage 9x9 in 11x11 (1)]

					2	9	4
					7	5	3
					6	1	8


				22	18	3	2	20
				7	10	17	12	19
				5	15	13	11	21
				25	14	9	16	1
				6	8	23	24	4


			6	1	3	43	41	39	42
			48	34	30	15	14	32	2
			46	19	22	29	24	31	4
			45	17	27	25	23	33	5
			10	37	26	21	28	13	40
			12	18	20	35	36	16	38
			8	49	47	7	9	11	44


		10	81	79	77	9	11	13	15	74
		16	22	17	19	59	57	55	58	66
		14	64	50	46	31	30	48	18	68
		12	62	35	38	45	40	47	20	70
		75	61	33	43	41	39	49	21	7
		76	26	53	42	37	44	29	56	6
		78	28	34	36	51	52	32	54	4
		80	24	65	63	23	25	27	60	2
		8	1	3	5	73	71	69	67	72


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

Take the 9x9 concentric magic square, add 20 to all numbers and construct the border [see webpage ultra 9x9 in 11x11 (1)]

See how the concentric magic square on this website is growing bigger and bigger:

3x3, 4x4, 5x5, 6x6, 7x7, 8x8, 9x9, 10x10, 11x11, 12x12, 13x13, 14x14, 15x15, 16x16, 17x17 18x18, 19x19, 20x20, 21x21, 22x22, 23x23, 24x24, 25x25, 26x26, 27x27, 28x28, 29x29, 30x30, 31x31 and 32x32

11x11, concentric.xls

Microsoft Excel werkblad 96.0 KB

11x11 magic square