Basic key method ( most perfect)

The key to construct a 12x12 magic square is:

1-2 3-4 5-6

Construct the first grid by finishing and copying the key. The second grid is a reflection (= rotated by a quarter to the left) of the first grid.

1x number from first grid + 12x [number -/- 1] = most perfect 12x12 magic square

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

Use this method to construct most perfect magic squares of order is multiple of 4 from 4x4 to infinity. See 4x4, 8x8, 12x12, 16x16, 20x20, 24x24, 28x28, 32x32

12x12, Basic key method (2).xls

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12x12 magic square