When the Deformation is Spherically Symmetrical
You draw a triangle on a surface of a sheet of circular shaped paper.
You swirl and twist it by two perpendicular logarithmic spiral
one of them is twisted around the axis which is in the center of the circle and the other one is around an axis which is a radius of the circle.

As the deformation is spherically symmetrical, the vertices of the triangle are preserving the ratio of the original triangle.
The original triangle is laying on a 2D paper, but the third triangles is "laying" in the embedding physical 3D space.

You swirl and twist it by two perpendicular logarithmic spiral
one of them is twisted around the axis which is in the center of the circle and the other one is around an axis which is a radius of the circle.

As the deformation is spherically symmetrical, the vertices of the triangle are preserving the ratio of the original triangle.
The original triangle is laying on a 2D paper, but the third triangles is "laying" in the embedding physical 3D space.







