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RRosenman

Structural Spiral Studies

four studies of spiraling structures

Preliminary investigations of structural systems of spirals. Working in Rhino, we’re developing scripts that generate surface driven spirals, which become the basis for our structural strategies.

ellipsoid envelope

We begin our investigation with simple surfaces to better understand spiral behavior. Our initial surface is generated by rotating about the z-axis the upper half of an ellipse centered at the origin.

primary

A spiral is specified by a number of rotations over the height of the surface. We cast rays from the central axis to find our defining points. In this example. the spiral completes 2 complete rotations. A second spiral is generated by repeating this sequence in the reverse direction of rotation. This system of mirroring spirals is then copied at 120 degree intervals to uniformly break down the original surface.

secondary structure

We generate a secondary system of spirals in a similar manner but varying the number of revolutions. In this case the number is doubled from 2 to 4. By overlaying the 2 systems, relationships become apparent and inform additional studies.

4 spiral wireframes

By varying the radial offsets between our two systems, as well as the angular points of origin (along the base of the original surface) we can see how the points of overlap respond to changes in frequency and initial base geometry. These overlaps become natural points to exploit in our structural strategies.

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