Hexaflexagons!

With my youngest daughter away at a party, I finally had a chance to make hexaflexagons with my eldest, Lulu.

First I showed her two introductory youtube videos: part 1 and part 2 (from the brilliant and inspirational Vi Hart), then we started folding and cutting and coloring and diagramming.

Time was soon up and I had to walk her to a party. But it was groovy stuff. Watch Vi Hart's videos and see if you'd like to make your own hexaflexagons. Richard Feynman did!

lulu with hexaflexagon

feynman diagram

Update, day 2

Here's a Feynman Diagram of one such hexa-hexa-flexagon. Blue arrows show transitions that are possible. Green arrows show similar (but non-identical) faces on the perimeter of the map. Putting pictures onto the corners of each triangle (instead of just colouring the faces) makes it easier to see differences between faces. Click for full image:

feynman diagram of a hexahexaflexagon

Update, day 3

We've been building hexaflexagons continually.

Haven't slept. Haven't eaten. Must traverse the hexaflexagons...

Update, day 5

Researching new forms of cardboard that don't wear out from continual flexing.

Researching the mysterious 8-gon - the tetra-octa-flexagon

Waiting by the letter box, expecting arrival of Build Your Own Polyhedra any day now.

Hypnogogic hallucinations of hexa-flexa-polygonations, fractal tesselations, kirigami tetris tangrams, trominous tetrominoes, Lindenmayer loops, syntomachion strings; see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle?

See the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle? see the cat? see the cradle?

See the cat? See the cradle?

 

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