比利时vs摩洛哥足彩
,
university of california san diego
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math 269 - combinatorics
satyan devadoss
university of san diego
unfolding geometry at burning man
abstract:
a 2-ton interactive sculpture came to life at burning man 2018, the world's most influential large-scale sculpture showcase. rising 12 feet tall with an 18-foot wingspan in the nevada desert, the unfolding dodecahedron was illuminated by 16,000 leds, requiring 6,500 person hours and \$50,000 in funds. its interior, large enough to hold 15 people, was fully lined with massive mirrors, alluding to a possible shape of our universe. the unfolding exterior points to the 500-year-old work of albrecht d$\ddot{\text{u}}$rer, and the tantalizing open problem of discovering a geometric unfolding for every convex polyhedron. we discuss the state-of-the-art, and consider higher-dimensional unfolding analogs, with elegant geometric and combinatorial relationships.
host: brendon rhoades
november 5, 2019
1:00 pm
ap&m 7321
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