There are many mathematical objects that can be made by corrugated weaving.
Deltahedra and equilateral surfaces. Obviously, any surface that is entirely faced by equilateral triangles is ready to be korgomed. (Since korgome is a variety of the universal weaving method, if the faces are suitable in shape, there is no need to worry that the weaving will produce an odd number of crossings.)
Equilateralized triangle meshes. Making all the triangles equilateral severely alters the shape of a mesh (but not completely.)
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