INFINITE SERIES

Scholars studied the relationship between fine art and mathematics. They learned how fractals such as the Sierpinksi Triangle and the Apollonian Gasket, as well as triangulation, measurement, and equilateral triangles could be used to create very interesting geometric designs.

They started things off by watching a video about infinite series by Vi Hart called "Doodling in Math Class: Infinity Elephants." 

Next, they got out their sketchbooks and practiced a few of the exercises shown in the video involving binary Apollonian gaskets, Sierpinski's triangle, and a technique involving three dots being used to draw a perfect circle.

Then they learned about horizon lines, vanishing points, scale, perspective, and repetition in an exercise that involved utilizing an infinite series.

Here is the math behind the scenes:

In this extensive study on geometric art involving fractals, triangulation, and infinite series, the classes were next required to create either a Sierpinski triangle or an Apollonian gasket on grid paper.

In preparation for their final piece, the classes were given inspiration by artwork that anchors itself around properties involving infinite series. In particular, students were shown the paintings of Alex Grey.

And finally, the students created their own finished pieces.