Mark Dow

Geek art

Simple recursive systems and fractal patterns

Triangular periodic tilings

Mixed symmetries notes

    Construction notes for the Mixed symmetries animations and images:

MATLAB notes:

See Programs and code for all required resources.

MATLAB command to generate a single triangular element (see header and hardcoding to generate the three required elements):

>> EC_radial_MS( 256, 512, 1.0 );

with hardcoded

flTwist = 5/3.0

flPhase = 0/3.0, 1/3.0, 2/3.0 and

 ->Edge_contrast_1D.m

ndegPhase = ndegPhase + 280 (I don't know why)

Space Software notes:

File | Open

set Volume | Volume info | Origin x, y and z (n*128 + n, 0, m*256)

Repeat after:

Generate mirror: 

Overlays | Duplicate

Volume | Change Coordinate Axes | X' = -X, Y' = -Y, Z' = -Z

AND

Add another phase shifted animation:

Overlays |  Open Overlay

The background is now generated within EC_radial_MS.m (above), but originally this was done manually (only roughly, as edge pixels aren't logically merged properly) with this procedure:

Overlays | Duplicate

Overlays | Move Down

Reduce  Colors | Brightness

Colors  | Apply Color Transformations to Values

Overlays | Merge  All