MPMSolutions: The Meta-Stack-Folding Challenge

This is the solution for MPMP: The Stack Folding Challenge
https://www.youtube.com/watch?v=GpClxF41ugg
https://www.think-maths.co.uk/foldingchallenge

All details about Matt Parker's Maths Puzzles are on the Think Maths website:
https://www.think-maths.co.uk/maths-puzzles

These were the most popular answers:

ANS FREQ
40 138
22 63
24 41
16 40
96 29
39 25
32 24
8 20
19 17
5040 16
20 15
12 14
18 12
36 14
38 14

Bennett Bernardoni folding all 40 options.
https://www.youtube.com/watch?v=NKHf51Jxz-8

Sean Mooney's video explaining their logic.
https://www.youtube.com/watch?v=1VRz-7a2T6s

Robin Houston's tweet.
https://twitter.com/robinhouston/status/1271817919912194051

Map folding problem on Wikipedia
https://en.wikipedia.org/wiki/Map_folding

Видео MPMSolutions: The Meta-Stack-Folding Challenge канала Matt_Parker_2