This is a Clifford torus. In geometric topology, it is the simplest and most symmetric flat embedding of the Cartesian product of two circles \(\color{#6ab825}{S^1_a}\) and \(\color{#6ab825}{S^1_b}\) (in the same sense that the surface of a cylinder is "flat"). It is named after William Kingdon Clifford. A normal torus is basically a a tube shape that looks like a doughnut or an inner tube, created by revolving a circle in the \(\color{#6ab825}{3rd}\) dimension around a circle, which is why a torus is a "surface of revolution. Here🔗 is a link to a Desmos page that you can play with it. When you change the 3D properties (\(\color{#6ab825}{X}\), \(\color{#6ab825}{Y}\) and \(\color{#6ab825}{Z}\)), you can just see the doughnut rotating. But when you play with the \(\color{#6ab825}{4th}\) dimension (\(\color{#6ab825}{W}\)), your doughnut seems to lose its 3D form, meaning, you can't 'imagine' what's going on physically. However, Before playing...
