SFF DREAMS

Visions of Models that we would like to build ...

Below are some pictures and plans for models that we also would like to build -- but which we have not yet done the detailed design or the formal description in a common format.


Geometrical Models


"Tabby2 -- with and without a Frame"

A schematic representation of the "Tabby" weaving pattern.
This is an exercise in design and as a test case for machining feature recognition.
Need to remove anti-parallel coinciding surfaces.



"Cubist Chinese Button Knot"

A rectilinear, tight version of this famous knot.
Need to remove anti-parallel coinciding surfaces.



"Arabic Icosahedron"

Twenty interlocking clover leaves on the surface of an icosahedron.
Need to test for intersections and smooth out the clover leaves.



"Boy's Surface"

A famous finite model of the projective plane.
Need to find a nice and regular tessellation with 3-fold symmetry.



"Shell"

An experiment from a new generator.



"Moebius3"

This is a "belt" with a total twist of 540 degrees before its two ends are joined.

Part Description and Generator Specs


"Other Scherk-Collins Toroids"

Part Descriptions and Generator Specs


"Minimum Variation Surfaces"

The genus 2 through 5 surfaces of a particular symmetry group that minimize the surface integral over the square of the derivative of curvature.
Need to generate the properly optimized surface descriptions -- perhaps as subdivision surfaces...


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