Wolfram Research

Mathematica MathWorld Wolfram Science More »

HOME

Surface Morphing

Continuous morphing between two parametric surfaces in 3D.

Contributed by: Yu-Sung Chang

Show Initialization Code

(35 lines omitted)

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.

Spherical Coordinates (Wolfram MathWorld)

Torus (Wolfram MathWorld)

Cylinder (Wolfram MathWorld)

Möbius Strip (Wolfram MathWorld)

Sine Surface (Wolfram MathWorld)

"Surface Morphing" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SurfaceMorphing/

Contributed by: Yu-Sung Chang

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Browse all topics

Browse all education topics

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

Wolfram Research

Site Index

RSS

Atom