Thursday, March 7, 2013

Hexaflexagon SCRAMBLED

What do I know about hexaflexagons:
  • Made with paper strips
  • Hexagons
  • Are flat
  • Can have 3 sides, 6 sided or 7 sides.
  • Flex them by folding them into a 3-pointed star, then take the center and pull out, flexing out and revealing another side!:D
  • ViHart has 3 funny and cool videos about them
  • You can flex them, vi-flex them, flex them by pulling out the center line and making a square surrounded by 2 triangles . . . which can lead to addicting random flexes . . . which can lead to confusion . . . which can lead to . . .
A scrambled hexaflexagon.

This has happened to me once before, and I have never been able to un-scramble my hexaflexagon.

Today I was flexing it ALL morning, because I was in homeroom for 4 periods before lunchtime. Here's how I used the hexaflexagon to pass my time:

1. Flexed faster.
2. Memorized 1-way pattern to follow.
3. Pretended to be psychic by predicting the next colour I would get in front of other people.
4. Vi-flexed.
5. Vi-flexed twice, thrice, and back.
6. The same to the other hollow pyramid made by the vi-flex.
7. Flexed and vi-flexed.
8. Pulled at the middle parting line, not at all the traditional flexing line.
9. Found that there would be a hollowed-out pyramid shape with two triangle-pyramids on either side.

I don't know WHAT happened next, but the next thing I knew - flex, honk, BLEEP, and AIEEEEEEEEEE!!! My hexagon had FOUR blue triangles and TWO RED ONES!!

Mark my words: they can be scrambled. Big-time. But it's not like the Rubik's Cubes - oh, no. It's five times harder, because hexaflexagons aren't MEANT to be scrambled! They're flat and hexagonal! And they don't necessarily keep their flat and hexagonal shape if you flex and hex them too much.

Trust me.

Anyways, a guy in my class, BH, fixed it for me. I asked him how he did it, but all he could say was that he "did some random stuff." Not very clear, but good enough for me! My hexaflexagon was all right! Along the way, I watched him flex the paper this way and that. At some point, he had a triangular pyramid and a PENTAGON. It was crazy! He literally had a PENTAGON. No joke! I wish I could do that (and not mess the hexaflexagon up again) - it would be so cool!

What about you guys? Did any crazy stuff happen to you with your hexaflexagons? I bet none of you ever had a straight-on, no-flaps-just-a-simple-plain-in-front-of-your-eyes pentagon!! :)

1 comment:

  1. Technically, hexaflexagons can have more than 7 sides, if the material is thin enough. With paper, 7 is about as much as you can do. You can improve the flexing ability of higher-order hexaflexagons (6 or more sides) by cutting circilar holes in each corner.

    ReplyDelete