4 Table Howell

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The following list has all the 4 table Howell movements, but as a BS can be balanced in more than one way (ie. by switching different tables) they are not unique, even though the board movements will always be the same.

·   BS (a) 8-1 2-7 3-6 5-4

SS (b) 8-1 6-5 4-2 R 7-3 2R

SS (c) 8-1 2R 6-2 R 7-5 4-3

·   BS (b) 8-1 4-2 3-7 6-5

SS (a) 8-1 2R 6-3 R 2-7 5-4

SS (c) 8-1 2R 7-5 R 4-3 2-6

·   BS (c) 8-1 5-7 2-6 4-3

SS (a) 8-1 5-4 7-2 R 6-3 2R

SS (b) 8-1 3-7 6-5 R 2-4 2R

Further investigation reveals that (b) on (a) is a mirror of (a) on (b) etc., so that the only unique cases are (b) and (c) on (a), and (c) on (b).

It should be noticed that all the 4 table Howell movements are perfect. For 5 or more tables this is not the case.