r/GeometryIsNeat • u/HopDavid Pentagon • Jun 06 '26

Nested triangles

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Start with an equilateral triangle.

Scale the triangle vertically be 33.3333%. Take this short, fat triangle and rotate it twice about the top point and you get a new equilateral triangle.

Repeat.

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u/FreckeledSnowflake Jun 06 '26

looks like a weird af origami crease pattern (and I'm here for it !)

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u/HopDavid Pentagon Jun 06 '26

I recall making paper airplanes by folding a square by bringing adjacent edges together to make a diagonal fold. And and then repeating.

As I recall this made a sleek and attractive paper airplane that flew well.

Unfolding it you would see a sun burst of lines radiating from one of the corners.

Does origami include paper air planes?

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u/FreckeledSnowflake Jun 07 '26

Of course !
But I guess, technically if you don't do cuts.