![]() ![]() Take a look at evidence of hyperbolic space in nature. The points at infinity are the circumference. Rockmore summarizes the three different geometries discussed in this video. Visualizing Hyperbolic Geometry (05:00)īack in the studio, Rockmore and Taimina discuss hyperbolic geometry. ![]() Styner discusses insight provided when approaching his work with non-Euclidean geometry. Take a look as he and a colleague study the brain to develop tools for medical analysis. Martin Styner describes his work in neuroimaging. They show the problems that ancient mapmakers encountered. Rockmore interviews Daina Taimina to discuss the difference between flat and curved space. Janos Bolyai and Nikolai Lobachevsky come up with "absolute geometry," working without Euclid's fifth postulate. Battle cosmic space-invading spiders across curved landscapes where bullets hug the terrain while the horizon drops sharply out of sight. Rockmore describes the work of Carl Friedrich Gauss. The film garnered many accolades, including nominations for the Academy Award for Best Art Direction and the Golden Globe Award for Best Original Score. Product Description Curved Space is an intense arcade-style twin-stick shooter that takes the classic formula and plunges it into the weirdest reaches of space. Years later, the film became a cult-classic for cinephiles and sci-fi fanatics. Mathematicians challenge the fifth postulate as early as the 5th century, but it is not until the 19th century that there is proof that it is independent from the other four. 2001: A Space Odyssey (1968) In 1968, Stanley Kubriks 2001: A Space Odyssey debuted to underwhelming reviews. Host Dan Rockmore explains that geometry is used to describe physical space. ![]()
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