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Table 9

Example cuts of bodies for odd m = 3, 5, 9, 27.

di-knives SS-cuts SSC-cuts VS-cuts VSC-cuts VV-cuts VVC-cuts
m = 2·1 + 1
dm = 3 3-knives 4 6 7 6 0 0 k = 1
7
d1 = 1 1-knife 2 2 2 2 0 0
m = 2·2+1
dm = 5 5-knives 6 10 11 10 11 0 k = 2
11 16
16
d 1  = 1 1-knife 2 2 2 2 2 0
m = 2·4 + 1
dm = 9 9-knives 10 18 19 10 19 0 k = 4
19 28 28
28 37 37
37 46
46
d2 = 2·1+1 3-knives 4 6 4 6 4 0 k1 = 1
7 7 7
d1 = 1 1-knife 2 2 2 2 2 0
m = 2·13+1
dm = 27 27-knives 28, 55, 82, 109, 136, 163, 190, 217, 244, 271, 298, 325, 351, 379 54 55, 82, 109, 136, 163, 190, 217, 244, 271, 298, 325, 351, 379 54 55, 82, 109, 136, 163, 190, 217, 244, 271, 298, 325, 351 0 k = 13
d3 = 9 2·4 + 1 9-knives 10, 19, 28, 37, 46 18 10, 19, 28, 37, 46 18 10, 19, 28, 37, 46 0 k1 = 4
d2 = 3 2·1+1 3-knives 4, 7 6 4, 7 6 4, 7 0 k2 = 1
d1 = 1 1-knife 2 2 2 2 2 except m = 3 0