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 | |||||||||