This Demonstration shows morphing between a plane, a sphere, a torus, a cylinder, a Möbius strip, and a sine surface using a continuous transition function.
For any two surfaces which can be defined by continuous parametrizations
:[
,
,
] →︀
, the transition function can be assigned as: π
)=(1 - τ(
t))
f1+ τ(
t)
f2, where τ(
t) ϵ [0,1] for ∀
t ϵ [0,1].
Also, we multiply a rotation matrix to the result to provide a 360° view of the morphing.
