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I feel that paper is an underrepresented mechanic in puzzles, so this puzzle explores the many facets of this subject. It's (almost) all lovingly handmade, so please excuse any errors.

  1. Orikami

enter image description here

  1. Transformation

https://i.stack.imgur.com/OFqvd.jpg

enter image description here

  1. Twists and Flips enter image description here

  2. The Main Proof of FACT

https://i.stack.imgur.com/XPMGW.jpg

  1. Cubed

enter image description here

META:

enter image description here

Your final answer should be a single word that describes this puzzle.

(This is my first metapuzzle so constructive criticisms are welcome!)

Hint 1: Still no progress? Perhaps you don't know where to start. Here's ranking of the difficulties of the puzzles from easiest to hardest:

1, 4, 3, 2, 5

noneuclideanisms
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1 Answers1

2

Partial for 3. Twists and Flips:

Folding (dashed lines valley, solid lines mountain) gives the following:

square-twists

Which seems to read:

ROUS
ITST
OEND
THUS

"Sy Chen One Piece Flipper" refers to this(link broken), and I don't know how it relates here. "Square twists" refer to this origami pattern which does occur in this folding pattern.
ACB
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humfuzz
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    I hid the image for you and hid/formatted your block using 
     and 
    .  You could also use , which has slightly different results (you can preview it while editing to see which you prefer).  Hope this is helpful.
    – hagfy Jun 29 '18 at 11:34
  • :D Thanks for trying out my puzzle! An actual paper model might be useful for this one. Some of the letters are kinda wonky because of the constraints so I'll just say that the B should be an R. – noneuclideanisms Jun 30 '18 at 22:35