Dissecting Hypercubes with Pascal's Triangle | Infinite Series

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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.”

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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

Видео Dissecting Hypercubes with Pascal's Triangle | Infinite Series канала PBS Infinite Series