Properties
inlaid

10	18	1	14	22
4	12	25	8	16
23	6	19	2	15
17	5	13	21	9
11	24	7	20	3

15	16	4	7	23
21	14	17	3	10
9	22	13	20	1
2	8	25	11	19
18	5	6	24	12

example 1

14	25	2	16	8
10	12	21	3	19
17	6	13	24	5
1	18	9	15	22
23	4	20	7	11

example 2

6	17	15	3	24
5	23	9	16	12
19	11	2	25	8
22	10	18	14	1
13	4	21	7	20

example 3

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Example 2

This magic square of order 7 with magic sum S₇=175 has two different inlays. You will find another magic square of order 5 with magic sum S₅=125 and a third-order inlaid diamond with S₃=75.

28	8	6	49	36	2	46
29	9	20	32	27	37	21
45	38	17	40	19	11	5
7	26	34	25	16	24	43
15	39	31	10	33	12	35
47	13	23	18	30	41	3
4	42	44	1	14	48	22

28	8	6	49	36	2	46
29	9	20	32	27	37	21
45	38	17	40	19	11	5
7	26	34	25	16	24	43
15	39	31	10	33	12	35
47	13	23	18	30	41	3
4	42	44	1	14	48	22

28	8	6	49	36	2	46
29	9	20	32	27	37	21
45	38	17	40	19	11	5
7	26	34	25	16	24	43
15	39	31	10	33	12	35
47	13	23	18	30	41	3
4	42	44	1	14	48	22

28	8	6	49	36	2	46
29	9	20	32	27	37	21
45	38	17	40	19	11	5
7	26	34	25	16	24	43
15	39	31	10	33	12	35
47	13	23	18	30	41	3
4	42	44	1	14	48	22