Twentieth Century Standard Puzzle Book / Three Parts in One Volume

by Unknown

Strip off another border, as is again indicated by the darker lines, and a third Magic Square is left, which adds up to 75.

5
AN OLD ENIGMA
By Hannah More

I’m a strange contradiction: I’m new and I’m old,
I’m sometimes in tatters and sometimes in gold,
Though I never could read, yet letter’d I’m found,
Though blind I enlighten, though free I am bound.

I’m English, I’m German, I’m French, and I’m Dutch;
Some love me too dearly, some slight me too much.
I often die young, though I sometimes live ages,
And no Queen is attended by so many pages.

[Solution]

No. XI.—A LARGER BORDERED MAGIC SQUARE

Here is another example of what is called a “bordered” Magic Square:—

5	80	59	73	61	3	63	12	13
1	20	55	30	57	28	71	26	81
4	14	31	50	29	60	35	68	78
76	58	46	38	45	40	36	24	6
7	65	33	43	41	39	49	17	75
74	64	48	42	37	44	31	18	8
67	10	47	32	53	22	51	72	15
66	56	27	52	25	54	11	62	16
69	2	23	9	21	79	19	70	77

These 81 cells form a complete magic square, in which rows, columns, and diagonals add up to 369. As each border is removed fresh Magic Squares are formed, of which the distinctive numbers are 287, 205, and 123. The central 41 is in every case the greatest common divisor.

No. XII.—A CENTURY OF CELLS