Purposes of arithmetic, particularly geometry, to electoral redistricting and the problem of combatting gerrymandering is a present subject of examine amongst many mathematicians, pioneered by Professor Moon Duchin of Tufts University. A number of gerrymandering instances have been heard lately by the Supreme Court docket, and shaping district boundaries has social, political, and financial impacts on society.
Mathematically, gerrymandering touches on an outdated mathematical downside referred to as the isoperimetric downside, which relates the perimeter of a area to its space. College students studied this downside, in addition to other ways one can mathematically assess gerrymandering. They took a hands-on method to gerrymandering and explored software program that allowed them to aim to equalize illustration amongst present districts of their state.
To spotlight a number of fashionable purposes of geometry, Taback organized a sequence of particular lectures given by consultants from MIT, Colby, and different establishments.
The primary, by YouTuber CodeParade, was on implementing a hyperbolic world in a online game context.
The second, by MIT professor Octavian Ganea, described cutting-edge work in machine studying utilizing hyperbolic geometry to acquire embeddings of hierarchical knowledge units.
The third, by Colby School professor Scott Taylor, mentioned how hyperbolic geometry can be utilized to mannequin giant knowledge units, such because the router connections underlying the world extensive net.
Lastly, curator Kevin Adkisson from the Cranbrook Heart for Collections and Analysis gave an inspiring speak on geometry in structure. This lecture was delivered from a Frank Lloyd Wright home, and Adkisson was in a position to tour the home over Zoom, highlighting Wright’s revolutionary use of geometry in actual time.
A few of Taback’s college students from Math 2404 shared their impressions of the course: