Going to look for unique caterpillars on 4 taxa for Pi6.
First, generating all possible 24 permutations of 4 taxa...
Found 24 permutations.
Starting search for uniquely defined caterpillars.
THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED !
Code =0 - 10
0123
1302
-- Pi 6 Triplets --
-- Format (a,b,c) which means: a < min{b,c} OR b < c < a
0 1 2
0 1 3
0 2 1
0 2 3
0 3 1
0 3 2
1 0 2
1 0 3
1 2 0
1 2 3
1 3 0
1 3 2
2 0 1
2 1 0
2 1 3
2 3 0
3 0 1
3 0 2
3 1 2
3 2 0
--------------
0,1,2,
0,1,3,
0,2,1,
0,2,3,
0,3,1,
0,3,2,
1,0,2,
1,0,3,
1,2,0,
1,2,3,
1,3,0,
1,3,2,
2,0,1,
2,1,0,
2,1,3,
2,3,0,
3,0,1,
3,0,2,
3,1,2,
3,2,0,
int: numtrips = 20
THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED !
Code =0 - 13
0123
2031
-- Pi 6 Triplets --
-- Format (a,b,c) which means: a < min{b,c} OR b < c < a
0 1 2
0 1 3
0 2 1
0 2 3
0 3 1
0 3 2
1 0 3
1 2 0
1 2 3
1 3 2
2 0 1
2 0 3
2 1 0
2 1 3
2 3 0
2 3 1
3 0 1
3 0 2
3 1 2
3 2 0
--------------
0,1,2,
0,1,3,
0,2,1,
0,2,3,
0,3,1,
0,3,2,
1,0,3,
1,2,0,
1,2,3,
1,3,2,
2,0,1,
2,0,3,
2,1,0,
2,1,3,
2,3,0,
2,3,1,
3,0,1,
3,0,2,
3,1,2,
3,2,0,
int: numtrips = 20
THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED !
Code =0 - 14
0123
2103
-- Pi 6 Triplets --
-- Format (a,b,c) which means: a < min{b,c} OR b < c < a
0 1 2
0 1 3
0 2 1
0 2 3
0 3 1
0 3 2
1 0 3
1 2 3
1 3 0
1 3 2
2 0 1
2 0 3
2 1 0
2 1 3
2 3 0
2 3 1
3 0 1
3 0 2
3 1 0
3 1 2
3 2 0
3 2 1
--------------
0,1,2,
0,1,3,
0,2,1,
0,2,3,
0,3,1,
0,3,2,
1,0,3,
1,2,3,
1,3,0,
1,3,2,
2,0,1,
2,0,3,
2,1,0,
2,1,3,
2,3,0,
2,3,1,
3,0,1,
3,0,2,
3,1,0,
3,1,2,
3,2,0,
3,2,1,
int: numtrips = 22
THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED !
Code =0 - 16
0123
2301
-- Pi 6 Triplets --
-- Format (a,b,c) which means: a < min{b,c} OR b < c < a
0 1 2
0 1 3
0 2 1
0 2 3
0 3 1
0 3 2
1 2 0
1 2 3
1 3 0
1 3 2
2 0 1
2 0 3
2 1 0
2 1 3
2 3 0
2 3 1
3 0 1
3 0 2
3 1 0
3 1 2
--------------
0,1,2,
0,1,3,
0,2,1,
0,2,3,
0,3,1,
0,3,2,
1,2,0,
1,2,3,
1,3,0,
1,3,2,
2,0,1,
2,0,3,
2,1,0,
2,1,3,
2,3,0,
2,3,1,
3,0,1,
3,0,2,
3,1,0,
3,1,2,
int: numtrips = 20