a perspective on mathematics, the pattern, and the abstract

Posts tagged: patternstream

from patternstream

This was asked to patternstream so i will only answer in regards to that.

As mentioned in the last question, i don’t really consider myself making the patterns.

The time it takes Mathematica to create each .gif varies for different patterns. This time mostly depends on the content of the graphics and how many frames each .gif animation consists of, which is generally anywhere from 15-30 frames. The time is largely dependent on the degree of rotational symmetry that the pattern exhibits. This directly corresponds to the amount of ‘ripples’ present in the space.

All the patterns posted on the stream thus far have all resulted from the same code. The algorithm is straightforward enough that it was constructed in no more than 30 minutes. **My computer equipped with a 2.4 GHz Intel Core i5 processor takes anywhere between 15 to 45 seconds for the average pattern.** I expect this time could be sped up at least a little if the algorithm was optimized, and if a lot of the trigonometric functions (Sins and Cosines) were calculated in advance.