Sudoku method (3)

Use 2x2 an 8x8 most perfect (Franklin pan)magic square as first grid and a second fixed grid with 4x4 Sudoku pattern to construct a 16x16 most perfect (Franklin pan)magic square.

Take 1x number from 2x2 an 8x8 most perfect (Franklin pan)magic square

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

+ 64x number from 4x4 Sudoku pattern

2	1	3	0	3	0	2	1	3	0	2	1	2	1	3	0
1	2	0	3	0	3	1	2	0	3	1	2	1	2	0	3
0	3	1	2	1	2	0	3	1	2	0	3	0	3	1	2
3	0	2	1	2	1	3	0	2	1	3	0	3	0	2	1
0	3	1	2	1	2	0	3	1	2	0	3	0	3	1	2
3	0	2	1	2	1	3	0	2	1	3	0	3	0	2	1
2	1	3	0	3	0	2	1	3	0	2	1	2	1	3	0
1	2	0	3	0	3	1	2	0	3	1	2	1	2	0	3
0	3	1	2	1	2	0	3	1	2	0	3	0	3	1	2
3	0	2	1	2	1	3	0	2	1	3	0	3	0	2	1
2	1	3	0	3	0	2	1	3	0	2	1	2	1	3	0
1	2	0	3	0	3	1	2	0	3	1	2	1	2	0	3
2	1	3	0	3	0	2	1	3	0	2	1	2	1	3	0
1	2	0	3	0	3	1	2	0	3	1	2	1	2	0	3
0	3	1	2	1	2	0	3	1	2	0	3	0	3	1	2
3	0	2	1	2	1	3	0	2	1	3	0	3	0	2	1

= 16x16 most perfect (Franklin pan)magic square

171	85	256	2	251	5	176	82	235	21	192	66	187	69	240	18
88	170	3	253	8	250	83	173	24	234	67	189	72	186	19	237
1	255	86	172	81	175	6	252	65	191	22	236	17	239	70	188
254	4	169	87	174	84	249	7	190	68	233	23	238	20	185	71
11	245	96	162	91	165	16	242	75	181	32	226	27	229	80	178
248	10	163	93	168	90	243	13	184	74	227	29	232	26	179	77
161	95	246	12	241	15	166	92	225	31	182	76	177	79	230	28
94	164	9	247	14	244	89	167	30	228	73	183	78	180	25	231
43	213	128	130	123	133	48	210	107	149	64	194	59	197	112	146
216	42	131	125	136	122	211	45	152	106	195	61	200	58	147	109
129	127	214	44	209	47	134	124	193	63	150	108	145	111	198	60
126	132	41	215	46	212	121	135	62	196	105	151	110	148	57	199
139	117	224	34	219	37	144	114	203	53	160	98	155	101	208	50
120	138	35	221	40	218	115	141	56	202	99	157	104	154	51	205
33	223	118	140	113	143	38	220	97	159	54	204	49	207	102	156
222	36	137	119	142	116	217	39	158	100	201	55	206	52	153	103

Use this method to construct magic squares of order 2ⁿ (= 4x4, 8x8, 16x16, 32x32, ... magic squares).

16x16, Sudoku method (3).xls

Microsoft Excel werkblad 488.0 KB

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16x16 magic square