Open Access
Table 3
GML cutting with moving knives.
n = km (full rotation) |
Smallest divisor dm = 1 |
||||
---|---|---|---|---|---|
m-odd | All different variants of cutting “SS” (side to side) | All different variants of cutting “VS” (vertex to side) | All different variants of cutting “VV” (vertex to vertex) | ||
3 | 1 | 1 | 0 | ||
5 | 2 | 2 | 1 | ||
7 | 3 | 3 | 2 | ||
9 | 4 | 4 | 3 | ||
11 | 5 | 5 | 4 | ||
2k + 1 |
k
|
k
|
k – 1 |
||
n = km + j (gcd(m, j) = 1 − m-knife |
Largest divisor dm = m
|
||||
m-odd |
All different variants of cutting “SS” (side to side) |
All different variants of cutting “VS” (vertex to side) |
All different variants of cutting “VV” (vertex to vertex) |
||
3 | 5 | 1 | 1 | 0 | |
5 | 3 + 5 | 2 | 1 | 1 | |
7 | 3 + 3 + 5 | 3 | 1 | 2 | |
9 | 3 + 3 + 3 + 5 | 4 | 1 | 3 | |
11 | 3 + 3 + 3 + 3 + 5 | 5 | 1 | 4 | |
2k + 1 |
3·(k − 1) + 5 |
k
|
1 |
k – 1 |
|
n = km (full rotation) |
Smallest divisor dm = 1 |
||||
m-even |
All different variants of cutting “SS” (side to side) |
All different variants of cutting “VS” (vertex to side) |
All different variants of cutting “VV” (vertex to vertex) |
||
2 | “1” | 0 | |||
4 | 2 | 1 | 1 | ||
6 | 3 | 2 | 2 | ||
8 | 4 | 3 | 3 | ||
10 | 5 | 4 | 4 | ||
2k
|
k
|
k-1
|
k-1
|
||
n = km + j (gcd(m, j) = 1 (m-knife) |
Largest divisor dm = m
|
||||
m-even |
All different variants of cutting “SS” (side to side) |
All different variants of cutting “VS” (vertex to side) |
All different variants of cutting “VV” (vertex to vertex) |
||
2 | 1 | 1 | 0 | 0 | |
4 | 3 + 1 | 1 | 1 | 0 | 1 |
6 | 3 + 3 + 1 | 1 | 2 | 1 | 1 |
8 | 3 + 3 + 3 + 1 | 1 | 3 | 2 | 1 |
10 | 3 + 3 + 3 + 3 + 1 | 1 | 4 | 3 | 1 |
2k | 3·(k − 1) + 1 | 1 | k – 1 | k – 2 | 1 |