Magic Squares: inlaid squares

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

inlaid

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 1

This is a magic square of order n=5 by David M. Collison with magic sum S₅=65. Embedded in this square is a diamond, which can be viewed as a square, rotated by 45°. The magic sum of the inlaid diamond is S₃=39.

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