Sum of odd integers: a generalization (visual proof)

[@spikypichu]

So cool as usually! Keep up the great work!

[@MathVisualProofs]

Thanks!

[@marcoss122]

What is the sum for analogous process in other polygonal arrays? Sum of entries?

[@yurisich]

The color coded nested members of the sequence was great. I wish there were about five or six included to get a better sense of that formation occurring on the left hand side of the resulting k**2 by k**2 area.

[@MathVisualProofs]

Yes. I probably could have done that but the stacks get quite tall and things get smaller to see. Thanks!

[@星苒-r8s]

So amazing video ！！！

[@MathVisualProofs]

Thanks!

[@SuperYoonHo]

SinQ/CosQ VERY MUCH SIR

[@MathVisualProofs]

:)

[@SuperYoonHo]

@@MathVisualProofs :D

[@marcoss122]

@@MathVisualProofshello

[@MathVisualProofs]

@@marcoss122hi 👍

[@星苒-r8s]

Did you make this video with ManimGL?

[@MathVisualProofs]

Yes. I use manimgl for all my videos. Will try to move to manimce one day.

[@ed.puckett]

Thank you once again for a fascinating proof. Unfortunately, I tried to get the mentioned paper, but it is paywalled. I worry for our society :-/ Regardless, thank you for your work.

[@MathVisualProofs]

For people interested in math, I always recommend an MAA membership. The annual dues are reasonable in my opinion and you get access to all of the MAA journals online. That said, I'll find the preprint and link that one as well. Thanks!