This texture was generated in Filter Forge, a Photoshop plugin that allows you to create your own filters.
Creates many semetrical shapes using only curves. No Kaleidoscopes. All kinds of fun stuff you can use this for. I only included a couple curves to start, a lot of other effects can be achieved with other curves both with and without the blend step.
The noise curve needs an additional step that requires the use of a blend, otherwise the patterns are not 'square'.
Curve Shape Semetrical Pattern Simple Noise Star Circle Square Cross Geometric Snipit