Can You Solve This 'Impossible' Puzzle?

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

#math #brithemathguy #complexanalysis

[BriTheMathGuy]

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[Matthew_Klepadlo]

Instructions unclear: ended up getting detention and $2, 345, 012.83 from the federal government.

[rohitrathi]

Could you have solved this problem without using complex numbers but using only the Cartesian coordinate system and vectors?

[yahya.m]

Imagine whoever wrote that in the textbook was just joking

[rogerkearns]

Do you know where the treasure is?
Aye.
Where's the treasure?
i.
No, seriously, where's the treasure?
.
.
.
;)

[JustAnotherCommenter]

The treasure wasn't there, it was only imaginary.

[hydra]

One can solve the problem purely geometrically: let the Shed be at S, Pine and Willow at P and W while their respective markings at P' and W'. Moreover let W'' and P'' be such that PWP''W'' is a clockwise square. Consider the clockwise 90 degrees rotation around W composed with the clockwise 90 degrees rotation around P. The transformation in total rotates the plane about 180 degrees and thus must be a point symmetry around some point X. Since the first transformation moves W' to S and the second moves S to P' their composition moves W' to P' and thus X is our point of interest - midpoint of P'W'. But the first transformation leaves W intact while the second moves it to W'' so that W moves to W'' in the composition. So X must also be the midpoint of WW'' i.e. the center of the square. But the square can be constructed just based on the points P and W alone which is what we were after.

[xyz.ijk.]

There is a similar puzzle in George Gameau‘s 1, 2, 3 …Infinity. I remember reading that many many years ago. You brought back a wonderful memory. And of course I learned something new today as well. Thank you.

[frogsta]

Does that mean the treasure is also imaginary or simply one unit above the midpoint of the trees?

[pierretchamitchian]

There are some people saying "hey we can also do this by useing geometry" but on of the points of complex numbers is doing geometry with an easier to manipulate language.

[minimath]

The real treasure was the math we learned on the way

[God-ldll]

hypothetically would be cool if there was some kind of class assignment as a physical analogue to this problem.

[NumberNinjaDave]

This is a super awesome way to story tell around the complex plane. Great video, Brian! 🎉

[jonahrosenbloom]

What teachers think the real world will be like:

[TrimutiusToo]

That is one way for complex numbers professor to make student interested... Shed was always imaginary to begin with!

[themathsgeek]

This was a great video, thank you Brian!!

[Games_Era]

But How Can we sure that the Distance Between Both tree is 2unit??

[orisphera]

You can just imagine the shed at some point and hope its position doesn't matter — that's true, but you don't need to prove that

[mcalkis]

Now just count i steps from the mid point of the trees.

[SuperYoonHo]

Thanks for the wonderful video Brian! (I think that was your name... or was it?!)