Saturday, February 6, 2016

Folded paper "snowflakes" with different symmetries

I like to play with folder paper cutouts and making paper snowflakes.  Recently I have been experimenting with trying to get different symmetries, that is, making snowflakes with different numbers of mirror planes as folds.  The picture below shows the result: objects ranging from one to ten mirror planes. (The first object is a paper heart rather than snowflake since it so obviously has just one mirror plane.)  The hardest folding to figure out was the snowflake with the seven mirror planes. If you closely examine each folded figure I hope you see that I incorporated a number into each pattern that matches the number of mirror planes in each pattern.
Update 2-14-16: Here are snowflakes with eleven and twelve mirror planes.



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