Nasik 15x15x15 magic cube (Method of Frost)

Use Frost's method to construct a perfect (Nasik) magic 15x15x15 cube.

You need a 15x15 magic square, which is panmagic, symmetric, but not compact.

Use the horizontal shifted versions of the 15x15 magic square: 2-4-6-8-10-12-14-[1]-3-5-7-9-11-13-15 and use it's row or column grid in random order (level 15 up to 1 instead of 1 up to15). Take 1x number from the (horizontal shifted) 15x15 magic square and add 225x number from the row- or column grid.

1x number [level 8] + 225x number [level 8]
48	89	212	208	154	116	61	22	6	143	175	189	105	125	42	3	5	14	13	10	7	4	1	0	9	11	12	6	8	2
159	120	65	27	3	149	167	193	94	131	31	52	81	218	205	10	7	4	1	0	9	11	12	6	8	2	3	5	14	13
7	141	173	190	99	135	35	57	78	224	197	163	109	71	16	0	9	11	12	6	8	2	3	5	14	13	10	7	4	1
103	124	41	46	82	216	203	160	114	75	20	12	138	179	182	6	8	2	3	5	14	13	10	7	4	1	0	9	11	12
87	213	209	152	118	64	26	1	142	171	188	100	129	45	50	5	14	13	10	7	4	1	0	9	11	12	6	8	2	3
115	69	30	5	147	168	194	92	133	34	56	76	217	201	158	7	4	1	0	9	11	12	6	8	2	3	5	14	13	10
136	172	186	98	130	39	60	80	222	198	164	107	73	19	11	9	11	12	6	8	2	3	5	14	13	10	7	4	1	0
122	43	49	86	211	202	156	113	70	24	15	140	177	183	104	8	2	3	5	14	13	10	7	4	1	0	9	11	12	6
215	207	153	119	62	28	4	146	166	187	96	128	40	54	90	14	13	10	7	4	1	0	9	11	12	6	8	2	3	5
68	25	9	150	170	192	93	134	32	58	79	221	196	157	111	4	1	0	9	11	12	6	8	2	3	5	14	13	10	7
176	181	97	126	38	55	84	225	200	162	108	74	17	13	139	11	12	6	8	2	3	5	14	13	10	7	4	1	0	9
44	47	88	214	206	151	112	66	23	10	144	180	185	102	123	2	3	5	14	13	10	7	4	1	0	9	11	12	6	8
210	155	117	63	29	2	148	169	191	91	127	36	53	85	219	13	10	7	4	1	0	9	11	12	6	8	2	3	5	14
21	8	145	174	195	95	132	33	59	77	223	199	161	106	67	1	0	9	11	12	6	8	2	3	5	14	13	10	7	4
184	101	121	37	51	83	220	204	165	110	72	18	14	137	178	12	6	8	2	3	5	14	13	10	7	4	1	0	9	11

*= Perfect (Nasik) 15x15x15 magic cube [level 8]*
723	1214	3362	3133	2404	1691	961	247	6	2168	2650	2889	1455	1925	492
2409	1695	965	252	3	2174	2642	2893	1444	1931	481	727	1206	3368	3130
7	2166	2648	2890	1449	1935	485	732	1203	3374	3122	2413	1684	971	241
1453	1924	491	721	1207	3366	3128	2410	1689	975	245	12	2163	2654	2882
1212	3363	3134	2402	1693	964	251	1	2167	2646	2888	1450	1929	495	725
1690	969	255	5	2172	2643	2894	1442	1933	484	731	1201	3367	3126	2408
2161	2647	2886	1448	1930	489	735	1205	3372	3123	2414	1682	973	244	11
1922	493	724	1211	3361	3127	2406	1688	970	249	15	2165	2652	2883	1454
3365	3132	2403	1694	962	253	4	2171	2641	2887	1446	1928	490	729	1215
968	250	9	2175	2645	2892	1443	1934	482	733	1204	3371	3121	2407	1686
2651	2881	1447	1926	488	730	1209	3375	3125	2412	1683	974	242	13	2164
494	722	1213	3364	3131	2401	1687	966	248	10	2169	2655	2885	1452	1923
3135	2405	1692	963	254	2	2173	2644	2891	1441	1927	486	728	1210	3369
246	8	2170	2649	2895	1445	1932	483	734	1202	3373	3124	2411	1681	967
2884	1451	1921	487	726	1208	3370	3129	2415	1685	972	243	14	2162	2653

See all the grids and all the levels of the 15x15x15 magic cube in the download below.

With method of Frost you can construct a Nasik magic cube of order is odd multiple of 3 from 9x9x9. See on this website the construction of:

9x9x9, 15x15x15, 21x21x21 and 27x27x27

15x15x15, Frost's 15x15x15 perfect (Nasi

Microsoft Excel werkblad 1'021.0 KB

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15x15x15 magic cube