Mathematical & Logical Puzzles -A6

21.     The Knight’s Tour (1)

1	10	35	28	3	12
18	27	2	11	34	29
9	36	17	30	13	4
26	19	8	33	22	31
7	16	21	24	5	14
20	25	6	15	32	23

There are numerous solutions to this problem.  The solution given here is just one of them to prove to those who gave up that it is possible.  The numbers indicate the order of the moves starting at 1 and finishing at 36.  Note that the solution given here is a circular tour where the knight finishes on a cell exactly a knight’s move from where it started.

22.     The Knight’s Tour (2)

1	14	63	40	3	24	57	42
62	39	2	13	60	41	4	23
15	64	61	36	25	56	43	58
38	33	12	55	52	59	22	5
11	16	37	26	35	54	51	44
32	29	34	53	50	47	6	21
17	10	27	30	19	8	45	48
28	31	18	9	46	49	20	7

The numbers show the 63 moves in numerical order.  There are many more solutions to this problem.  The solution shown here is a circular tour where the knight finishes on a cell exactly a knight’s move away from where it started.

23.     Alice In Wonderland

The Jub-Jub lives in a Tum-Tum tree, the Bandersnatch is an animal, and the Jabberwock has four wings and feeds on Toves.  This problem yields readily to a little trial and error.

24.     The Spider And The Fly

  

The easiest way to solve this puzzle is to imagine the room as a carboard box and to open it out flat as shown in the diagram above.  The shortest walking path for the fly to be reached is exactly 40 metres.  The spider crawls along the straight dotted line labelled 40m in the diagram of the unfolded room above.

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