THE MAGIC THIRTY-SIX, OR PUZZLE OF ONE HUNDRED AND ELEVEN.

This puzzle is similar in principle to the preceding one, and consists in so arranging the numbers 1 to 36 in six rows that the sum of each row, added together horizontally or vertically, shall be the same (Fig. 6). The sum of the rows will be found to be 111.

There is a still more complicated puzzle of this class to be performed. It is called

A	B	C	D	E	E	D	C	B	A
91	2	3	97	6	95	94	8	9	100	1
20	82	83	17	16	15	14	88	89	81	2
21	72	73	74	25	26	27	78	79	30	3
60	39	38	64	66	65	67	33	32	41	4
50	49	48	57	55	56	54	43	42	51	5
61	59	58	47	45	46	44	53	52	40	5
31	69	68	34	35	36	37	63	62	70	4
80	22	23	24	75	76	77	28	29	71	3
90	12	13	87	86	85	84	18	19	11	2
1	99	98	4	96	5	7	93	92	10	1

Fig. 7.—Plan of the Magic Hundred.

A	B	C	D	E	E	D	C	B	A
91	2	3	97	6	95	94	8	9	100	1
20	82	83	17	16	15	14	88	89	81	2
21	72	73	74	25	26	27	78	79	30	3
60	39	38	64	66	65	67	33	32	41	4
50	49	48	57	55	56	54	43	42	51	5
61	59	58	47	45	46	44	53	52	40	5
31	69	68	34	35	36	37	63	62	70	4
80	22	23	24	75	76	77	28	29	71	3
90	12	13	87	86	85	84	18	19	11	2
1	99	98	4	96	5	7	93	92	10	1

A	B	C	D	E	E	D	C	B	A
91	2	3	97	6	95	94	8	9	100	1
20	82	83	17	16	15	14	88	89	81	2
21	72	73	74	25	26	27	78	79	30	3
60	39	38	64	66	65	67	33	32	41	4
50	49	48	57	55	56	54	43	42	51	5
61	59	58	47	45	46	44	53	52	40	5
31	69	68	34	35	36	37	63	62	70	4
80	22	23	24	75	76	77	28	29	71	3
90	12	13	87	86	85	84	18	19	11	2
1	99	98	4	96	5	7	93	92	10	1

A	B	C	D	E	E	D	C	B	A
91	2	3	97	6	95	94	8	9	100	1
20	82	83	17	16	15	14	88	89	81	2
21	72	73	74	25	26	27	78	79	30	3
60	39	38	64	66	65	67	33	32	41	4
50	49	48	57	55	56	54	43	42	51	5
61	59	58	47	45	46	44	53	52	40	5
31	69	68	34	35	36	37	63	62	70	4
80	22	23	24	75	76	77	28	29	71	3
90	12	13	87	86	85	84	18	19	11	2
1	99	98	4	96	5	7	93	92	10	1