Roll/Unroll a square by diagonal

[submillimetre]

Hello

I am trying to animate the rolling and unrolling of a square something like the infamous page curl transition from PowerPoint The idea is that the diagonal of the flat square becomes a circle when the square is rolled up and the length of the diagonal and the resulting circle are identical.
Is this something easy to achieve?

Thanks

unroll_unsolved_original.gh (14.6 KB)

[HS_Kim]

How to apply rolling surface onto facade

You can also use this(Flow+Polar Array) as a base geometries for Rectangle Mapping. [folding] [Canvas at 00;51;19] Flow & Polar Array_re.gh (16.7 KB)

[submillimetre]

Thank you for your reply! Can this solution be easily adapted such that it follows this rule set:

Basically what I need is to start the motion from a corner a which is fixed and b goes to b, c to c and d to d. In your solution I see that, what would translate to my example as points b and d, are fixed.