Dissecting Hypercubes with Pascal's Triangle | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What does the inside of a tesseract look like? Pascal’s Triangle can tell us. Start your 60 day free trial of CuriosityStream by going to https://curiositystream.com/infinite/ and using the promo code ā€œinfinite.ā€ Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Devil’s Staircase    • TheĀ Devil'sĀ StaircaseĀ |Ā InfiniteĀ SeriesĀ Ā  Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com) What shape is formed by taking a diagonal slice of a 4-dimensional cube? Or, a 10-dimensional cube? It turns out that a very familiar mathematical object - Pascal’s triangle - can help us answer this question. Further Resources: Cube Slices, Pictoral Triangles and Probability http://www.maa.org/sites/default/file... Challenge Winner: Asthmen    • TheĀ Devil'sĀ StaircaseĀ |Ā InfiniteĀ SeriesĀ Ā  Comments answered by Kelsey: Tehom    • TheĀ Devil'sĀ StaircaseĀ |Ā InfiniteĀ SeriesĀ Ā  Badplayz    • TheĀ Devil'sĀ StaircaseĀ |Ā InfiniteĀ SeriesĀ Ā