Channel: PBS Infinite Series

Category: Education

Tags: three dimensionshypercubeeducationmathematicslinepascalhigher dimensional4 dimensionstetrahedrontrianglepointtesseracthigher dimensionssciencegeometrymathfour dimensionspascal's trianglestemdimensions

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: 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 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 youtube.com/watch?v=dQXVn7pFsVI Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (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 maa.org/sites/default/files/pdf/upload_library/22/Allendoerfer/1992/0025570x.di021171.02p0016b.pdf Challenge Winner: Asthmen youtube.com/watch?v=dQXVn7pFsVI&lc=z132hl040ozfc3q4i04cchci1suscbwg5ik Comments answered by Kelsey: Tehom youtube.com/watch?v=dQXVn7pFsVI&lc=z133jzax0tansbqh504cedgq1mfvs1wjsyo0k Badplayz youtube.com/watch?v=dQXVn7pFsVI&lc=z12dchu4qtfwshkmv231elxqsnuudjt2y