How did you figure out the number of combinations?
Some of them were gathered from the net, but most of them were calculated using "gap".
What are all those lines and arrows that appear when I tap on a face
They show where that face can move and how it gets there (there are cases where there are more than one way to rotate a slice and move one face to another location)
I want more puzzles!
Twisty3dron only provides access to three of the more popular twisty-puzzles. For access to over 40 other puzzles (including various other shapes and slicing styles), check out Twistyhedron