Dr. Benjamin Franklin is popularly known for his creation of the lightning
rod, bifocals, and many discoveries regarding electricity. He also
participated in the fundamental foundations of the United States of
America including co-writing the Declaration of Independence. To avoid
weariness in congressional debates, Franklin used his intellect to create
both magic squares and magic circles. Franklin Magic Circles are whole
numbers arranged in concentric circles such that when added in specific
patterns the sum will be the same. Franklin believed his discovery to
be trivial and that "no one desired [him] to show [them his] method of
disposing the numbers. It seems they wish rather to investigate it themselves."
In our presentation, we will discuss the re-creation, enumeration,
and symmetry operations of Franklin’s original magic circle, as well as a
new, unique Franklin Magic Circle. We will use algebraic techniques to
unravel the mysteries of Franklin’s creation while revealing the fascinating
characteristics that define Franklin Magic Circles.