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For some reason I hadn't thought to create an animated GIF of the continuum. I've put one up on the hat page (https://t.co/MXh2q8k1I9) if anyone wants it.
@GHSMaths @panlepan @mathhombre @Trianglemancsd @tessellationfan @Tom_Ruen @druizaguilera One more version, in which the background geometry is fixed and revealed through the opening irises.