FOR IMMEDIATE RELEASE
Newswise — New Brunswick, N.J. (Nov. 30, 2020) – The artist M. C. Escher brought complex mathematical ideas to life through dizzying illustrations like Circle Limit IV (Heaven and Hell), in which angels and demons soar through an infinite, bowl-shaped space. Their winged bodies form a pattern that mathematicians call a lattice.
In December, a Rutgers University-New Brunswick mathematician will co-host a workshop, convened by the American Institute of Mathematics and National Science Foundation, to ask, among other things: How would those angels and demons look if Escher’s drawing were 22-dimensional? Or 1,001-dimensional? Or in any number of other dimensions?
Welcome to the world of “hyperbolic reflection groups,” the name for the type of geometric space Escher depicted in his Circle Limit engravings. They represent what you’d see if you placed a single object – say a single angel-devil picture – at the bottom of a bowl and surrounded it by mirrors to make the image reflect itself, over and over, infinitely. “It’s not unlike what you see when you’re surrounded by mirrors in a dressing room or barbershop, but in a barbershop you’re standing on flat ground, not the bowl-shaped hyperbolic space that Escher depicted. That gives a completely different geometry for the ways your reflections will line up with each other and the patterns they’ll create,” said Alex V. Kontorovich, a professor of mathematics at Rutgers-New Brunswick’s School of Arts and Sciences and an organizer of the “Arithmetic Reflection Groups and Crystallographic Packings” workshop which begins Dec. 14.
The full story, with images, is here.
A WikiArt image of Escher’s Circle Limit IV: Heaven and Hell can be found here.
For interviews, contact Neal Buccino at [email protected] or 732-668-8439.
Broadcast interviews: Rutgers University–New Brunswick has broadcast-quality TV and radio studios available for remote live or taped interviews with Rutgers experts. For more information, contact Neal Buccino [email protected]
ABOUT RUTGERS—NEW BRUNSWICK
Rutgers University–New Brunswick is where Rutgers, the State University of New Jersey, began more than 250 years ago. Ranked among the world’s top 60 universities, Rutgers’s flagship university is a leading public research institution and a member of the prestigious Association of American Universities. It is home to internationally acclaimed faculty and has 12 degree-granting schools and a Division I Athletics program. It is the Big Ten Conference’s most diverse university. Through its community of teachers, scholars, artists, scientists, and healers, Rutgers is equipped as never before to transform lives.