The video below by Vi Hart celebrates how the concepts of mathematics such as angles, rotation, prime factorization, and symmetry are used to create beautiful patterns of snowflakes, starflakes, and swirlflakes.
In addition to the list of more than 5000 free mathematics and physics videos and tutorials I shared last year, you may want to add the Vi Hart‘s Math Channel in Youtube. Vi Hart has created recreational math videos and mathematical doodles in fast-paced narration. The channel has more than 200,000 subscribers and has been viewed more than 16 million times as of this writing.
The math video above is the part 1 of 3 of the Fibonacci sequence and Spirals series.
Vi Hart calls herself a recreational mathemusician. She was born Victoria Hart, a music major who is passionate about mathematics. She is currently working at the Khan Academy but continues to maintain her own video blog.