Concentric 12x12 magic square

To construct a concentric magic square you can put each time a new border around the square to make it larger and larger and so you can construct a 4x4 in 6x6 in 8x8 in 10x10 in ... magic square.

Number + 10 Number + 14 Number + 18

										57	12	52	14	1	3	63	58
				1	6	9	34	32	29	10	15	20	23	48	46	43	55
1	8	13	12	35	11	18	23	22	2	9	49	25	32	37	36	16	56
15	10	3	6	33	25	20	13	16	4	4	47	39	34	27	30	18	61
4	5	16	9	27	14	15	26	19	10	54	41	28	29	40	33	24	11
14	11	2	7	7	24	21	12	17	30	59	21	38	35	26	31	44	6
				8	31	28	3	5	36	60	22	45	42	17	19	50	5
										7	53	13	51	64	62	2	8

Number + 22 = Concentric 12x12 magic square

										134	143	3	141	5	1	22	124	20	126	18	133
92	2	98	4	14	18	84	16	86	91	16	114	24	120	26	36	40	106	38	108	113	129
88	75	30	70	32	19	21	81	76	13	15	110	97	52	92	54	41	43	103	98	35	130
12	28	33	38	41	66	64	61	73	89	131	34	50	55	60	63	88	86	83	95	111	14
90	27	67	43	50	55	54	34	74	11	132	112	49	89	65	72	77	76	56	96	33	13
5	22	65	57	52	45	48	36	79	96	139	27	44	87	79	74	67	70	58	101	118	6
100	72	59	46	47	58	51	42	29	1	128	122	94	81	68	69	80	73	64	51	23	17
8	77	39	56	53	44	49	62	24	93	10	30	99	61	78	75	66	71	84	46	115	135
94	78	40	63	60	35	37	68	23	7	9	116	100	62	85	82	57	59	90	45	29	136
6	25	71	31	69	82	80	20	26	95	137	28	47	93	53	91	104	102	42	48	117	8
10	99	3	97	87	83	17	85	15	9	7	32	121	25	119	109	105	39	107	37	31	138
										12	2	142	4	140	144	123	21	125	19	127	11

Take the 10x10 concentric magic square, add 22 to all numbers and construct the border [see webpage 10x10 in 12x12 (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

12x12, Concentric.xls

Microsoft Excel werkblad 72.0 KB

Download

12x12 magic square