Equally sharing a cake between three people – Numberphile


Numberphile
Published on 26 Sep 2017

Audible (30-day trial, free audio book): https://www.audible.com/numberphile
More links & stuff in full description below ↓↓↓

This video features Dr Hannah Fry.
More videos with Hannah: http://bit.ly/hannah_vids
Hannah’s website: http://www.hannahfry.co.uk
Her book mentioned is “The Mathematics of Love”.

Envy free cake cutting (the paper mentioned): https://arxiv.org/abs/1604.03655

A clarifying note from Hannah: n^n^n^n^n^n is the maximum number of cuts in the n person case.

Something we could have made clearer… Bob’s trimmed piece still carries the status of his “first choice”, so if Charlie leaves it, Bob will (must) pick it… otherwise he’ll pick the one that was his original “second choice”… The upshot of this is that there’s no chance Alice will be left with the trimmed piece after everyone takes their first piece. And Bob remains envy free under these conditions too.

A trilogy of mathematical cake cutting videos… http://bit.ly/CakeCuttingTrilogy

Editing and animation in this video by Pete McPartlan

Discuss this video on Brady’s subreddit: https://redd.it/72jyww

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

Advertisements

About agogo22

Director of Manchester School of Samba at http://www.sambaman.org.uk
This entry was posted in Food and tagged , , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.