How to create an animation of the unfolding of a cone?

IMG_20231124_092840
I am planning to use this animation in a math class with the aim of demonstrating various geometric unfolding diagrams to students for their understanding.
I have completed most of the unfolding animations for the geometry, and currently only the cone has not been completed.
So I am seeking solutions from everyone. thanks

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You can shape UV into the desired shape and transform the object using the geometry node.

fdfg.blend (1.1 MB)

Transforming mesh to its UV map with Geometry Nodes in Blender (interplanety.org)

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Thank you so much!This is a very good idea!However, I noticed that objects undergo abnormal deformation during the process of change. Do you have any ideas about this?

I just tried to change the UV of the object, and now I have perfectly solved this problem.I would like to express my gratitude to you again!

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