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Unfolding the wormhole

From Analytic sphere eversion using ruled surfaces https://arxiv.org/abs/1711.10466 by Adam Bednorz, Witold Bednorz

Script

n = Slider(2, 5, 1, 1, 150, false, true, false, false) t = Slider(-1.5, 1.5, 0.01, 1, 150, false, true, false, false) q = 2/3 p = 1-abs(q t) fx(x, y) = t cos(x) + p sin((n-1) x) - y sin(x) fy(x, y) = t sin(x) + p cos((n-1) x) + y cos(x) fz(x, y) = y sin(n x) - t/n cos(n x) - q t y surf = Surface(fx(u, v), fy(u, v), fz(u, v), u, -pi, pi, v, -2, 2)