A response to the PBS Infinite series video "Beyond the Golden Ratio". We show that the golden and silver ratios are the only metallic means which are also ratios of regular polygon diagonals/side lengths. We also enumerate which numbers in a larger class of means have such a representation. A collaboration with Thomas Grubb at University of California, San Diego. arXiv 1910.10325. Final document published in journal Integers, 2021. 

A study on magic squares of squares in the domain of Lunar arithmetic, a semi-ring proposed by David Applegate, Marc LeBrun, and Neil Sloane. Results include a parametric 3x3 magic square of distinct powers, a magic square of squared Lunar primes, and two magic squares of lunar squares whose element-wise sum is also a magic square of squared lunar integers. arXiv 1811.04923. Final document published in the Mathematical Intelligencer, 2019.