In differential geometry, the Clifford torus is the standard embedding of the 2-torus as a product of circles in Euclidean space R4 (equivalently C2). For radii a,b>0 it can be written as S1(a) × S1(b) ⊂ R2 × R2 ≅R4, or in complex coordinates as the set of (z1,z2) with | z 1 | = a {\displaystyle |z_{1}|=a} and | z 2 | = b {\displaystyle |z_{2}|=b} .
In differential geometry, the Clifford torus is the standard embedding of the 2-torus as a product of circles in Euclidean space R4 (equivalently C2). For radii a,b>0 it can be written as S1(a) × S1(b) ⊂ R2 × R2 ≅R4, or in complex coordinates as the set of (z1,z2) with | z 1 | = a {\displaystyle |z_{1}|=a} and | z 2 | = b {\displaystyle |z_{2}|=b} .
Source: Wikipedia "Clifford torus" · CC BY-SA 4.0
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