( x , y , z ) = tanh ( γ τ ) ( α + ( 1 − τ 2 ) sin ( γ τ 2 − β ) ) , tanh ( γ τ ) ( 1 − τ 2 ) cos ( γ τ 2 − β ) , τ 2 {\displaystyle \left(x,y,z\right)=\tanh \left(\gamma \tau \right)\left(\alpha +\left(1-\tau ^{2}\right)\sin \left(\gamma \tau ^{2}-\beta \right)\right),\tanh \left(\gamma \tau \right)\left(1-\tau ^{2}\right)\cos \left(\gamma \tau ^{2}-\beta \right),\tau ^{2}}
