A coordinate system defined by the transformation equations x | = | a/Λ cn μ cn ν cos ψ y | = | a/Λ cn μ cn ν sin ψ z | = | a/Λ sn μ dn μ sn ν dn ν, where Λ congruent 1 - dn^2 μ sn^2 ν and for μ element [0, K], ν element [0, K'], and ψ element [0, 2p i).

cap-cyclide coordinates | cyclidic coordinates | flat-ring cyclide coordinates