Media Summary: This method was discovered by Derek Hacon in mid-1970s(?). A I originally held off on releasing this one, because I believed YouTube's compression lowered the quality of the video. However ... This week's video is about the beautiful mathematics you encounter when you try to turn ghostlike closed surfaces inside out.

Sphere Eversion Using Thurston S - Detailed Analysis & Overview

This method was discovered by Derek Hacon in mid-1970s(?). A I originally held off on releasing this one, because I believed YouTube's compression lowered the quality of the video. However ... This week's video is about the beautiful mathematics you encounter when you try to turn ghostlike closed surfaces inside out.

Photo Gallery

Sphere Eversion: Thurston's Corrugations
Sphere eversion using Thurston's corrugations.
Sphere Eversion: Boy's Surface
Sphere Eversion with Transparency
Turn a Sphere Inside Out - Interactive Web App - (Thurston's sphere eversion)
Sphere Eversion: Ruled Surface
Sphere Eversion: Hacon's Half Torus
[HD Upscale @ 60 FPS] Outside In - How to Turn a Sphere Inside Out
Torus eversion: turning the torus inside out
Sphere Eversion, Ben-Zvi/Headrick. Audio mangled
How to Turn a Sphere Inside Out
Smale's inside out paradox
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Sphere Eversion: Thurston's Corrugations

Sphere Eversion: Thurston's Corrugations

Recreating animations in https://www.youtube.com/watch?v=sKqt6e7EcCs Made

Sphere eversion using Thurston's corrugations.

Sphere eversion using Thurston's corrugations.

Sphere eversion using Thurston's

Sphere Eversion: Boy's Surface

Sphere Eversion: Boy's Surface

See also:

Sphere Eversion with Transparency

Sphere Eversion with Transparency

Turning a

Turn a Sphere Inside Out - Interactive Web App - (Thurston's sphere eversion)

Turn a Sphere Inside Out - Interactive Web App - (Thurston's sphere eversion)

Try it Yourself: https://josephmfaulkner.github.io/

Sphere Eversion: Ruled Surface

Sphere Eversion: Ruled Surface

Reference: Analytic

Sphere Eversion: Hacon's Half Torus

Sphere Eversion: Hacon's Half Torus

This method was discovered by Derek Hacon in mid-1970s(?). A

[HD Upscale @ 60 FPS] Outside In - How to Turn a Sphere Inside Out

[HD Upscale @ 60 FPS] Outside In - How to Turn a Sphere Inside Out

I originally held off on releasing this one, because I believed YouTube's compression lowered the quality of the video. However ...

Torus eversion: turning the torus inside out

Torus eversion: turning the torus inside out

Like the

Sphere Eversion, Ben-Zvi/Headrick. Audio mangled

Sphere Eversion, Ben-Zvi/Headrick. Audio mangled

Sphere Eversion

How to Turn a Sphere Inside Out

How to Turn a Sphere Inside Out

Turning a

Smale's inside out paradox

Smale's inside out paradox

This week's video is about the beautiful mathematics you encounter when you try to turn ghostlike closed surfaces inside out.

[CPP'23] Formalising the h-principle and sphere eversion

[CPP'23] Formalising the h-principle and sphere eversion

[CPP'23] Formalising the h-principle and