Open Access

## Table 14

Various cuts of m-polygons and bodies with di-knives for odd and even m.

m = 2k + 1 di-knives SS SSC VS VSC VV VVC
dm = 2k + 1 m-knives j·m + 1 where j = 1, 2, …, k + 1 2·m j·m+1 where j=2,…, k+1 2·m j·m+1 where j=2,…, k 0
di = 2ki + 1 di-knives j·di + 1 where j = 1, 2, …, ki + 1 2·di j· di+1 where j = 1,2,…, ki+1 2·di j· di+1 where j = 1,2,…, ki+1, 0 i = 1, 2, …, N
d1 = 1 1-knife 2 2 2 2 2, except m = 3 2
m = 2k di-knives SS SSC  VS VSC VV VVC Remarks
dm = 2k m-knives j·m + 1 where j = 1, 2, …, k 0 j·m + 1 where j = 2,…, k 0 j·m+1 where j = 2,…, k−1 0
di = m/2 2k1 + 1 m/2-knives j· d1 + 1 where j = 1, 2, …, k1 + 1 2·d1=m j· d1+1 where j = 1, 2, …, k1 + 1 2·d1 = m j· d1+1 where j = 1, 2, …, k1 0 m/2 is odd
d1 = m/2 = 2k1 j· di+1 where j = 1,2,…, k1 j· di + 1 where j = 1, 2, …, k1 j· di+1 where j = 1,2,…, k1 m/2 is even
di = 2ki + 1 di -knives j· di+1 where j = 1,2,…, ki+1 2·di j· di+1 where j = 1, 2, …, ki + 1 j· di+1 where j = 1,2,…, ki+1 2·di di is odd
di = 2k1 j di + 1 where j = 1, 2,…, ki 2·di* j· di+1 where j = 1,2,…, ki j· di+1 where j = 1,2,…, ki 2·di* di is even
d1 = 1 1-knives 2 2 2 2 2 2

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