Dennis Bromley, Samantha Pezzimenti, Marina Skyers
Samantha Pezzimenti and Marina Skyers teach mathematics at Penn State
Brandywine. They are interested in the ways artistic representations
and physical models can help students understand abstract mathematical
concepts. Dennis Bromley is an Actuarial Science student at Penn State
Brandywine and a long-time crocheter. He enjoys exploring ways that
mathematical properties can be represented through crochet and can
always be counted on to bring the whimsical ideas of his professors to
fruition.
These three pieces each represent a different sequence of numbers.
Each color represents a digit (0=Purple, 1=Pink, 2=Red, 3=Orange,
4=Gold, 5=Light Green, 6=Dark Green, 7=Aqua, 8=Blue, 9=Teal). The
sphere contains digits of $\pi$; the shape chosen due to $\pi$’s
relevance in the sphere’s geometry. The trumpet-shape contains
digits of the number $e$; the shape chosen to represent
exponential growth. The rectangle contains digits of the golden
ratio, $\phi$; the dimensions of squares making up the rectangle
follow the Fibonacci sequence, whose digits limit to the golden
ratio.