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All issues Volume 3 (2020) 4open, 3 (2020) 7 Full HTML
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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