Open Access
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 |
![]() |
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 |