Going to look for unique caterpillars on 5 taxa for betweenness. First, generating all possible 120 permutations of 5 taxa... Found 120 permutations. Starting search for uniquely defined caterpillars. THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 02314 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 1 2 3 1 2 4 1 3 2 1 3 4 2 1 4 2 3 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 02341 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 1 4 3 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 02413 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 0 4 3 1 2 3 1 2 4 1 3 4 1 4 2 2 1 3 2 3 4 2 4 3 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 02431 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 0 4 3 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 03124 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 2 3 1 2 4 1 3 4 2 1 3 2 3 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 03142 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 2 1 2 3 1 2 4 1 3 4 1 4 2 2 1 3 2 3 4 2 4 3 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 03214 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 2 3 1 2 4 1 3 4 2 1 4 2 3 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 03241 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 1 2 3 1 2 4 1 3 4 1 4 2 1 4 3 2 3 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 03412 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 1 2 3 1 2 4 1 3 4 1 4 3 2 1 3 2 1 4 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 03421 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 1 2 3 1 2 4 1 3 4 1 4 3 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 04123 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 1 4 2 3 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 04132 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 2 1 3 4 2 1 4 2 3 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 04213 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 1 3 2 3 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 04231 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 2 1 3 4 2 3 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 04312 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 1 3 2 1 4 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 04321 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 12304 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 3 4 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 12340 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 12403 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 3 2 0 3 2 3 4 2 4 3 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 12430 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 1 2 3 1 2 4 1 3 4 1 4 3 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 13024 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 1 0 2 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 2 0 3 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 13042 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 0 4 2 1 0 2 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 2 0 3 2 3 4 2 4 3 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 13204 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 2 0 4 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 13240 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 2 1 3 4 2 3 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 13402 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 0 4 3 1 0 2 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 2 0 3 2 0 4 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 13420 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 0 4 3 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 14023 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 1 0 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 2 1 4 3 2 0 4 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 14032 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 0 4 1 1 0 2 1 0 3 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 1 4 3 2 0 4 2 3 4 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 14203 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 1 0 3 1 2 3 1 2 4 1 3 4 1 4 2 1 4 3 2 0 3 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 14230 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 1 2 3 1 2 4 1 3 4 1 4 2 1 4 3 2 3 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 14302 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 1 0 2 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 1 4 3 2 0 3 2 0 4 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 14320 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 1 4 3 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 20314 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 1 0 2 1 2 3 1 2 4 1 3 2 1 3 4 2 0 3 2 0 4 2 1 4 2 3 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 20341 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 1 0 2 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 1 4 3 2 0 3 2 0 4 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 20413 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 0 4 3 1 0 2 1 2 3 1 2 4 1 3 4 1 4 2 2 0 3 2 0 4 2 1 3 2 3 4 2 4 3 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 20431 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 0 4 1 0 4 3 1 0 2 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 2 0 3 2 0 4 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 21304 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 1 3 2 1 4 2 3 4 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 21340 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 1 3 2 1 4 2 3 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 21403 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 3 2 0 3 2 1 3 2 1 4 2 3 4 2 4 3 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 21430 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 1 0 4 2 1 2 3 1 2 4 1 3 4 1 4 3 2 1 3 2 1 4 2 3 4 2 4 3 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 23014 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 1 0 2 1 0 3 1 2 3 1 2 4 1 3 2 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 23041 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 0 4 1 1 0 2 1 0 3 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 1 4 3 2 0 4 2 3 4 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 23104 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 23140 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 2 1 3 4 2 1 4 2 3 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 24013 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 2 1 0 2 1 0 4 1 2 3 1 2 4 1 3 4 1 4 2 2 0 3 2 1 3 2 3 4 2 4 3 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 24031 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 0 4 2 1 0 2 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 1 4 2 2 0 3 2 3 4 2 4 3 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 24103 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 2 2 0 3 2 1 3 2 3 4 2 4 3 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 24130 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 0 4 2 1 2 3 1 2 4 1 3 4 1 4 2 2 1 3 2 3 4 2 4 3 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 30124 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 3 1 2 3 1 2 4 1 3 4 2 0 3 2 1 3 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 30142 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 2 2 0 3 2 1 3 2 3 4 2 4 3 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 30214 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 1 0 3 1 2 3 1 2 4 1 3 4 2 0 3 2 1 4 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 30241 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 1 0 3 1 2 3 1 2 4 1 3 4 1 4 2 1 4 3 2 0 3 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 30412 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 3 2 0 3 2 1 3 2 1 4 2 3 4 2 4 3 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 30421 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 3 2 0 3 2 3 4 2 4 3 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 31024 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 2 1 0 4 1 2 3 1 2 4 1 3 4 2 0 3 2 1 3 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 31042 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 2 1 0 2 1 0 4 1 2 3 1 2 4 1 3 4 1 4 2 2 0 3 2 1 3 2 3 4 2 4 3 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 31204 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 1 3 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 31240 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 1 3 2 3 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 31402 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 0 4 3 1 0 2 1 2 3 1 2 4 1 3 4 1 4 2 2 0 3 2 0 4 2 1 3 2 3 4 2 4 3 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 31420 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 0 4 1 0 4 3 1 2 3 1 2 4 1 3 4 1 4 2 2 1 3 2 3 4 2 4 3 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 32014 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 2 1 0 3 1 2 3 1 2 4 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 32041 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 1 0 2 1 0 3 1 2 3 1 2 4 1 3 4 1 4 2 1 4 3 2 0 4 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 32104 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 32140 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 0 4 1 0 4 2 0 4 3 1 2 3 1 2 4 1 3 4 2 1 4 2 3 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 40123 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 40132 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 40213 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 1 3 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 40231 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 2 0 4 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 40312 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 1 3 2 1 4 2 3 4 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 40321 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 0 4 1 2 3 1 2 4 1 3 4 2 0 4 2 3 4 3 0 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 41023 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 2 1 0 3 1 2 3 1 2 4 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 41032 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 2 0 3 4 1 0 2 1 0 3 1 2 3 1 2 4 1 3 2 1 3 4 2 0 4 2 1 4 2 3 4 3 0 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 41203 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 4 1 0 3 1 2 3 1 2 4 1 3 4 2 0 3 2 1 4 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 41230 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 2 3 1 2 4 1 3 4 2 1 4 2 3 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 41302 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 1 0 2 1 2 3 1 2 4 1 3 2 1 3 4 2 0 3 2 0 4 2 1 4 2 3 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 41320 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 1 0 2 3 0 2 4 0 3 1 0 3 4 1 2 3 1 2 4 1 3 2 1 3 4 2 1 4 2 3 4 3 1 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 42013 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 2 1 0 4 1 2 3 1 2 4 1 3 4 2 0 3 2 1 3 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 42031 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 4 1 0 2 1 0 4 1 2 3 1 2 4 1 3 2 1 3 4 2 0 3 2 3 4 3 0 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 42103 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 0 3 1 2 3 1 2 4 1 3 4 2 0 3 2 1 3 2 3 4 3 0 4 3 1 4 3 2 4 THE FOLLOWING TWO CATERPILLARS ARE UNIQUELY DEFINED (UP TO INVERSION SYMMETRY)! 01234 42130 -- betweenness Triplets -- -- Format (a,b,c) which means that b should be between a and c. 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 1 0 3 2 0 3 4 1 2 3 1 2 4 1 3 4 2 1 3 2 3 4 3 1 4 3 2 4