Question

I am working on triangulations of polygons and need help with this question: How will T(n) change if you ignore the vertices’ distinctness? That is, if you remove the labels, and say two triangulations are identical if one can be transformed into the other via a rotation or a reflection, how does this change T(n) for n = 4, 5, 6, 7, and 8?

Answer 1

4 sides, 2 ways:


5 sides, 5 ways:


6 sides, 14 ways:


7 sides, 42 ways:


8 sides, 132 ways:

Answer 2

This is the equation used to figure out T(6)=(4*6*10*14)/(6-1)!
The answer I got for this was 14. Can anyone help me find the answer to the question I posted?