Open Access
Table 10
Example cuts of bodies for even m = 4, 6, 8, 10, 24.
di-knives | SS | SSC | VS | VSC | VV | VVC | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
m = 2·2 | ||||||||||||||
dm = 2·2 | 4-knives | 5 ![]() |
0 | 9 ![]() |
0 | 0 | 0 | m = 2k | ||||||
9 ![]() |
||||||||||||||
d2 = 2·1 | 2-knives | 3 ![]() |
4*![]() |
3 ![]() |
0 | 0 | 4* ![]() |
d1 is even and k1 = 1 | ||||||
d1= 1 | 1-knives | 2 | 2 | 2 | 2 | 2 | 2 | |||||||
m = 2·3 | ||||||||||||||
dm = 2·3 | 6-knives | 7 ![]() |
0 | 13 ![]() |
0 | 13 ![]() |
0 | k = 3 | ||||||
13 ![]() |
19 ![]() |
|||||||||||||
19 ![]() |
||||||||||||||
d3 = m/2 = 2·1+1 | 3-knives | 4 ![]() |
6![]() |
4 ![]() |
0 | 4 ![]() |
6 ![]() |
d1 is odd k1 = 1 | ||||||
7 ![]() |
7 ![]() |
|||||||||||||
d2 = 2·1 | 2-knives | 3 ![]() |
2* | 3 ![]() |
0 | 3 ![]() |
2* | d2 is even k2 = 1 | ||||||
d1 = 1 | 1-knives | 2 | 2 | 2 | 2 | 2 | 2 | |||||||
m= 4·2 | ||||||||||||||
dm = 4·1 | 8-knives | 9 ![]() |
0 | 17 ![]() |
0 | 17 ![]() |
0 | k = 4 | ||||||
17,![]() |
25 ![]() |
25 ![]() |
||||||||||||
25 ![]() |
33 ![]() |
|||||||||||||
33 ![]() |
||||||||||||||
d3 = 2·2 | 4-knives | 5 ![]() |
8 ![]() |
5 ![]() |
0 | 5 ![]() |
8 ![]() |
d1 is even k1=2 | ||||||
9 ![]() |
9 ![]() |
9 ![]() |
||||||||||||
d2 = 2·1 | 2-knives | 3 ![]() |
4* ![]() |
3 ![]() |
0 | 3 ![]() |
4* ![]() |
d2 is even k2 = 1 | ||||||
d1 = 1 | 1i-knives | 2 | 2 | 2 | 2 | 2 | 2 | |||||||
m = 2·5 | ||||||||||||||
dm = 2·5 | 10-knives | j·10 + 1 | 0 | j·10 + 1 | 0 | j·10 + 1 | 0 | k = 5 | ||||||
j = 1,2,3,4,5 (11, 21, 31, 41, 51) | j = 2, 3, 4, 5 (21, 31, 41, 51) | j = 2,3,4 (21, 31, 41) | ||||||||||||
d3 = 2·2 + 1 | 5-knives | j·5 + 1 | 10 | j·5 + 1 | 0 | j·5 + 1 | 10 | k1 = 2 | ||||||
j = 1, 2, 3 (6, 11, 16) | j = 1, 2, 3 (6, 11, 16) | j = 1, 2 (6, 11) | ||||||||||||
d2 = 2·1 | 2i-knives | j·2i + 1 | 4* | j·2i + 1 | 0 | j·2i + 1 | 4* | d2 is even k2 = 1 | ||||||
j = 1 (3) | j = 1 (3) | j = 1 (3) | ||||||||||||
d1 = 1 | 1i-knives | 2 | 2 | 2 | 2 | 2 | 2 | |||||||
m = 2·12 | ||||||||||||||
dm = 2·12 | 24-knives | j·24 + 1 where j = 1,2,…,12 | 0 | j·24 + 1 where j = 2,3,…,12 | 0 | j·10 + 1 where j = 2,3,…,11 | 0 | k = 12 | ||||||
d7 = 2·6 | 12-knives | j·12 + 1 where j = 1,2,…,6 | 2·12 | j·12 + 1 where j = 1,2,…,6 | 0 | j·12 + 1 where j = 1,2,…,6 | 2·12 | k1 = 6 | ||||||
d6 = 2·4 | 8-knives | j·8 + 1 where j = 1,2,3,4 | 2·4* | j· 8 + 1 where j = 1,2,3,4 | 0 | j· 8 + 1 where j = 1,2,3,4 | 2·4* | k2 = 4 | ||||||
d5 = 2·3 | 6-knives | j· 6 + 1 where j = 1,2,3 | 2·3* | j· 6 + 1 where j = 1,2,3 | 0 | j· 6 + 1 where j = 1,2,3 | 2·3* | k3 = 3 | ||||||
d4 = 2·2 | 4-knives | j· 4 + 1 where j = 1,2 | 2·4* | j· 4 + 1 where j = 1,2 | 0 | j· 4 + 1 where j = 1,2 | 2·4* | k4 = 2 | ||||||
d3 = 2·1 + 1 | 3-knives | j· 3 + 1 where j = 1,2 | 2·3 | j· 3 + 1 where j = 1,2 | 0 | j· 3 + 1 where j = 1,2 | 2·3 | k5 = 2 | ||||||
d2 = 2·1 | 2-knives | j· 2 + 1 where j = 1 | 4* | j· 2 + 1 where j = 1 | 0 | j· 2 + 1 where j = 1 | 4* | k2 = 1 | ||||||
d1 = 1 | 1i-knives | 2 | 2 | 2 | 2 | 2 | 2 |
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