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**WHUPS! Obsolete even as I posted it...** Also 18: dat = FoldList[PolyhedronFaceReflect, a4, {3, 1, 5, 2, 1, 2, 5, 2, 3, 5, 1, 3, 2, 1, 2, 3, 2}]; Graphics3D[{dat, Red, dat[[1]]}, Boxed -> False] ![enter image...
The 35-edge proof you link to is from Parcly Taxel. I'm still working on my proof, which takes a different tack, though I'm sure both ways are valid. --WRSomsky
# Background In 2002, Stewart Hinsley posted a [page][1] illustrating several fractal irreptiles inspired by the [Hokkaido][2][[?]] tiling of Shigeki Akiyama. In Feb 2018, Ed Pegg posted the StackExchange Mathematics query "[Curve of a Fractal...