Archive for June, 2014

A Game of Four-folds, Part 2

June 6, 2014

elements_tetraflexagon_s1elements_tetraflexagon_s2

One way to have all six arrangements of the quadrants for each four-fold card is to make a tetraflexagon for each card. Above are the two sides of a sheet that should be printed out by flipping it on the short edge, so that the upper right corner of the bottom image will end up behind the upper left corner of the top image. Then fold the tetraflexagon by the simple instructions found at the link below. Then you will have all six arrangements of the four-fold for the Four Elements! There are actually seven states for the tetraflexagon, six of which have a valid arrangement on just one side of it, and one that doesn’t have a valid arrangement on either side. Seems like a lot of work, though.

http://home.centurytel.net/cdefreese/foldables/folding_the_geometry_tetraflexagon.htm

[*8.59]

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