The images


Isometric embedding of the square flat torus in ambient space


Wide-angle global view
Interior view (The tokamak)
Another interior view (Guts and tripe)

Journey to the Center of the Earth
The bobsleigh track
Cinq colonnes à la une

Arches
By night !

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Two movies : Flying around an isometric embedding of the square flat torus


Download the video
Download the video

HD pictures from the first movie


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HD pictures from the second movie


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From the torus of revolution to an isometric embedding of the square flat torus


The initial torus
The torus of revolution after one convex integration
The torus of revolution after two convex integration

The torus of revolution after three convex integration
Isometric embedding of the square flat torus in the limit

Four magnified succesive convex integrations


A close-up of the initial torus
A close-up of the initial torus after one convex integrations
A close-up of the initial torus after two convex integrations

A close-up of the initial torus after three convex integrations
A close-up of the initial torus after four convex integrations

Reduction of the metric distortion


Image of a regular grid on the torus of revolution
Close view of the initial torus after one convex integration
...after two convex integrations
...after three convex integrations
Licence Creative Commons

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Credits for images and videos : V. Borrelli, S. Jabrane, F. Lazarus, D. Rohmer, B. Thibert.