Orange Peeling Problem Given any sphere, in this case, the most suitable sphere would be an orange, could you "peel" of an orange such that when it's fully peeled, the orange peel is a genus-1 loop? Is there any conje...--prophetes.ai

Orange Peeling Problem Given any sphere, in this case, the most suitable sphere would be an orange, could you "peel" of an orange such that when it's fully peeled, the orange peel is a genus-1 loop? Is there any conjectures or theories on this type of subject? If using any references, please post them at the bottom.

I took the liberty of implementing Henning Makholm's suggestion. (TL;DR: The answer is "yes.")

!So it begins.

!The cuts.

!Peeling.

!Orange + annulus