Concentric

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 = 4x4 in 6x6 in 8x8 in 10x10 MS

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

Take the 8x8 concentric magic square, add 18 to all numbers and construct the border [see webpage most perfect 8x8 in 10x10]

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

10x10, concentric.xls

Microsoft Excel werkblad 57.5 KB

Download

10x10 magic square