z = a(cos v + ln(tan(v/2))) + bu — Dini's Vase

Dini's Surface Morning Glory

A complex surface of constant negative curvature forming a twisted trumpet loop.

Formula: x = a·cos(u)sin(v), y = a·sin(u)sin(v), z = a(cos(v) + ln(tan(v/2))) + b·u

A mathematically stunning display that naturally resembles a blossoming morning glory flower. Organically rich and incredibly mesmerizing.

Suitable as a powerful dynamic centerpiece.