What does i^i = ?

2017-09-12

[public] 1.47M views, 47.6K likes, 748 dislikes audio only

Spoiler! Value for i^i is below.

Enjoy some more e^iπ with 3blue1brown's first video:

/youtube/video/F_0yfvm0UoU

Plus the 2017 follow-up video with extra Group Theory:

/youtube/video/mvmuCPvRoWQ

UPDATE: People have pointed out that I've been beaten to the video punch by blackpenredpen! They are also much more thorough about the multiple-value problem.

https://www.youtube.com/watch?v=ABk1HK2AR2E

If you don’t believe my value for i^i, I appeal to Wolfram Alpha.

https://www.wolframalpha.com/input/?i=i%5Ei

For those of you who just want to see the digits, here they are:

i^i = 0.20787957635076190854695561983497877003387784163176960807513588305541987728548213978860027786542603534052177330723502180819061973037466398699991126317864120573171777952006743376649542246381929737430538703760051890663033049700519005556200475866205294351834431843455027479745344769934714172383230815271481800760921074192047151878353489584821890186029582331295662952070823409567696363742039451439394183861901080820897771751705004348176454751714529894341134142...

CORRECTIONS:

None yet. Let me know if you spot anything!

Thanks to my many Patreon supporters! Here is a subset:

Christian Gruber

Emily Dingwell

Jeremy Buchanan

Mauro Cioni

Neil McGovern

Support my videos on Patreon:

https://www.patreon.com/standupmaths

If you’re a Patreon supporter of my channel, you can see the behind the scenes of how I filmed this. I didn’t have much time to film so I used my quick-filming studio set-up. New studio renovations are on their way!

https://www.patreon.com/posts/14340392

Music by Howard Carter

Design by Simon Wright

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

Maths book: http://makeanddo4D.com/

Nerdy maths toys: http://mathsgear.co.uk/