Plan

Final Surface

Finally getting there with the general Massing

Section

Shift

Massing

Unit Morphology

Unit Range 2

Unit Range

New Units

Made some good revisions to the units. They are nice and clean now. A few images showing some basic control over the surface.

Test

Surfaces are coming out of gc ok. A little lumpy. The units need some adjustments...

Still in GC

unfortunately...

Symmetries

Skeleton graph is constructed in GC. I hope not to have to use GC but am having some trouble getting the surface built in maya...

Skeletal Graph

The skeletal graph defines the topology. Each of the two continuous spaces formed by the surface can be retracted to the respective skeletal graph while maintaining the symmetry of the system. Grobe-Brauckmann has a good method for constructing the graph in "Gyroids of Constant Mean Curvature", 1997.

1. The system is defined by a rectangular box (dHx2dWx2dL). The box is divided into 4 equal boxes.
2. A first set of 4 points (V+) is located at {(3/4,3/4,1/4)d, (5/4,1/4,1/4)d, (3/4,5/4,3/4)d, (5/4,7/4,3/4)d}.
3. A second set of points (V-) is located at {(1/4,1/4,3/4)d, (7/4,3/4,3/4)d, (1/4,7/4,1/4)d, (7/4,5/4,1/4)d}.
4. Each set of points is connected by straight line segments.
5. Another series of lines are drawn in face diagonal directions at a length of d*(sqRt 2)/4.
6. The entire complex is copied down by distance of d and mirrored about its center.