Fingertips/Bijections/Exercise
We want to realize as many bijective mappings as possible from the fingertips of the left hand to the fingertips of the right hand, by letting the corresponding (according to the assignment) fingertips touch each other.
- Realize the "natural“ bijection.
- Realize those bijections, where two adjacent fingertips swap their natural counterparts, and where the other three fingertips touch their natural counterparts (adjacent transposition).
- Realize those bijections, where two fingertips swap their natural counterparts, and where the other three fingertips touch their natural counterparts (transposition).
- Realize those bijections, where exactly two fingertips touch their natural counterparts.
- Realize those bijections, where exactly one fingertip touches its natural counterpart.
- Realize those bijections, where no fingertip touches its natural counterpart.