![]() 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. ![]() Years later, the film became a cult-classic for cinephiles and sci-fi fanatics. Alien (1979) R 117 min Horror, Sci-Fi 8.5 Rate 89 Metascore The crew of a commercial spacecraft encounter a deadly lifeform after investigating an unknown transmission. Take a look as he and a colleague study the brain to develop tools for medical analysis. 2001: A Space Odyssey (1968) In 1968, Stanley Kubriks 2001: A Space Odyssey debuted to underwhelming reviews. Director: Ron Howard Stars: Tom Hanks, Bill Paxton, Kevin Bacon, Gary Sinise Votes: 300,914 Gross: 173.84M 4. ![]() 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. When a magnetic field is applied to an electron, it begins to undergo cyclotron orbits due to the Lorentz force. Janos Bolyai and Nikolai Lobachevsky come up with "absolute geometry," working without Euclid's fifth postulate. Rockmore describes the work of Carl Friedrich Gauss. Curved Space is a novel shoot em up that pushes the genre forward with lots of weapons, interesting story twists, and bombastic arcade gameplay. 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. Host Dan Rockmore explains that geometry is used to describe physical space. ![]()
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