Ultra magic 15x15 square

Use 2x the same of 2 different magic 5x3 (=3x5) rectangles to construct an ultramagic 15x15 square. The ultramagic 15x15 square is panmagic, symmetric, 3x3 and 5x5 compact.

*= 1x number*
6	9	3	4	13	6	9	3	4	13	6	9	3	4	13
14	2	7	12	0	14	2	7	12	0	14	2	7	12	0
1	10	11	5	8	1	10	11	5	8	1	10	11	5	8
6	9	3	4	13	6	9	3	4	13	6	9	3	4	13
14	2	7	12	0	14	2	7	12	0	14	2	7	12	0
1	10	11	5	8	1	10	11	5	8	1	10	11	5	8
6	9	3	4	13	6	9	3	4	13	6	9	3	4	13
14	2	7	12	0	14	2	7	12	0	14	2	7	12	0
1	10	11	5	8	1	10	11	5	8	1	10	11	5	8
6	9	3	4	13	6	9	3	4	13	6	9	3	4	13
14	2	7	12	0	14	2	7	12	0	14	2	7	12	0
1	10	11	5	8	1	10	11	5	8	1	10	11	5	8
6	9	3	4	13	6	9	3	4	13	6	9	3	4	13
14	2	7	12	0	14	2	7	12	0	14	2	7	12	0
1	10	11	5	8	1	10	11	5	8	1	10	11	5	8
*+ 15x number +1*
13	0	8	13	0	8	13	0	8	13	0	8	13	0	8
4	12	5	4	12	5	4	12	5	4	12	5	4	12	5
3	7	11	3	7	11	3	7	11	3	7	11	3	7	11
9	2	10	9	2	10	9	2	10	9	2	10	9	2	10
6	14	1	6	14	1	6	14	1	6	14	1	6	14	1
13	0	8	13	0	8	13	0	8	13	0	8	13	0	8
4	12	5	4	12	5	4	12	5	4	12	5	4	12	5
3	7	11	3	7	11	3	7	11	3	7	11	3	7	11
9	2	10	9	2	10	9	2	10	9	2	10	9	2	10
6	14	1	6	14	1	6	14	1	6	14	1	6	14	1
13	0	8	13	0	8	13	0	8	13	0	8	13	0	8
4	12	5	4	12	5	4	12	5	4	12	5	4	12	5
3	7	11	3	7	11	3	7	11	3	7	11	3	7	11
9	2	10	9	2	10	9	2	10	9	2	10	9	2	10
6	14	1	6	14	1	6	14	1	6	14	1	6	14	1
*= Ultra (pan)magic 15x15 square*
202	10	124	200	14	127	205	4	125	209	7	130	199	5	134
75	183	83	73	181	90	63	188	88	61	195	78	68	193	76
47	116	177	51	114	167	56	117	171	54	107	176	57	111	174
142	40	154	140	44	157	145	34	155	149	37	160	139	35	164
105	213	23	103	211	30	93	218	28	91	225	18	98	223	16
197	11	132	201	9	122	206	12	126	204	2	131	207	6	129
67	190	79	65	194	82	70	184	80	74	187	85	64	185	89
60	108	173	58	106	180	48	113	178	46	120	168	53	118	166
137	41	162	141	39	152	146	42	156	144	32	161	147	36	159
97	220	19	95	224	22	100	214	20	104	217	25	94	215	29
210	3	128	208	1	135	198	8	133	196	15	123	203	13	121
62	191	87	66	189	77	71	192	81	69	182	86	72	186	84
52	115	169	50	119	172	55	109	170	59	112	175	49	110	179
150	33	158	148	31	165	138	38	163	136	45	153	143	43	151
92	221	27	96	219	17	101	222	21	99	212	26	102	216	24

It is also possible to use a different magic 5x3 (=3x5) rectangle to construct the second grid:

9	6	3	13	4
2	14	7	0	12
10	1	11	8	5

Use this method to construct magic squares which are an odd multiple of 3 but no multiple of 9 (21x21, 33x33, 39x39, ... magic square). You can find the necessary symmetric 3x7, 3x11 and 3x13 magic rectangles on the website of Aale de Winkel:

http://www.magichypercubes.com/Encyclopedia/DataBase/RectanglesSymmetric3byX.html

15x15, Ultra magic.xls

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15x15 magic square