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 “infinite.” Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Devil’s Staircase https://www.youtube.com/watch?v=dQXVn7pFsVI 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/files/pdf/upload_library/22/Allendoerfer/1992/0025570x.di021171.02p0016b.pdf Challenge Winner: Asthmen https://www.youtube.com/watch?v=dQXVn7pFsVI&lc=z132hl040ozfc3q4i04cchci1suscbwg5ik Comments answered by Kelsey: Tehom https://www.youtube.com/watch?v=dQXVn7pFsVI&lc=z133jzax0tansbqh504cedgq1mfvs1wjsyo0k Badplayz https://www.youtube.com/watch?v=dQXVn7pFsVI&lc=z12dchu4qtfwshkmv231elxqsnuudjt2y