Unrolling a Cylinder

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This Demonstration shows the unrolling of a cylinder with a printed photograph inside.

Contributed by: Erik Mahieu (October 2015)
Open content licensed under CC BY-NC-SA


Snapshots


Details

A cylinder with radius 1 is tangent to the plane at the line that is the intersection of the two planes and .

Points on the cylinder have coordinates .

Unrolling a point from the cylinder to the plane gives rise to the map

,

where is the angular position of the point on the cylinder, and is the unrolling angle of the cylinder to the plane.



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