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.
All in all site has a collection of more than 12,000 videos that cover a variety of topics aside from those mentioned above. The collection includes other sciences such as Physics, Engineering, Astronomy, and Computer Science. Social Sciences videos are also available.
In addition to the 5000 videos that I have shared to you last year, I have recently discovered more than 1500 links to mathematics video lectures in Pinterest. The links cover a wide variety of topics which include K-12 Mathematics, Math Interviews and Humor, Famous Mathematicians, Student Lectures, and many more.
The collection also includes undergraduate and graduate content topics such as Abstract Algebra, Graph Theory, Topology, Number Theory, Optimization, etc.
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.
If you are a lover of numbers, Numberphile might be a good site to visit. Numberphile contains videos about number facts, trivia, and applications. The video below about leap years is one of my favorites.