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I have made this too, the top and bottom wouldn't fit on top of each other if you use two equal circles.
Well then show me, i've shown proof that they fit this way. And i can prove they won't fit if you try to make the shape out of concentric circles.
Do keep in mind, that dark red and light red parts are identical, they are duplicates of each other, so they can fit on top of each other just like the video shows. (or else that illusion doesn't work).
What I think you did was create 2 different pieces (with concentric circles) but then they wouldn't fit on top of each other.
Two concentric circles is the only way two circles fit on top of each other, otherwise they wouldn't be the same size/area.
So, how do you explain my image then?
No concentric circles there, and they stack without a gap, and they are identical and fit on top of each other.