The 60 Year Quest for the Perfect Sofa

Comments · 333

• WR

  @WrathofMath · 1 year ago · pinned

  Thanks for watching! I want to apologize for saying &apos;more simpler&apos; and &apos;lavas&apos; near the beginning of the video. Please forgive me. <br><br>Join Wrath of Math to get exclusive videos, lecture notes, and more:<br><a href="https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join">https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join</a><br>More math chats: <a href="https://www.youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO">https://www.youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO</a><br><br>Sources:<br><a href="https://arxiv.org/pdf/2411.19826">https://arxiv.org/pdf/2411.19826</a><br><a href="https://www.math.ucdavis.edu/~romik/movingsofa/">https://www.math.ucdavis.edu/~romik/movingsofa/</a><br><a href="https://www.math.ucdavis.edu/~romik/data/uploads/papers/sofa.pdf">https://www.math.ucdavis.edu/~romik/data/uploads/papers/sofa.pdf</a><br><a href="https://web.archive.org/web/20080107101427/http://mathcad.com/library/constants/sofa.htm">https://web.archive.org/web/20080107101427/http://mathcad.com/library/constants/sofa.htm</a><br><a href="https://blogs.ams.org/visualinsight/2015/01/15/hammersley-sofa/">https://blogs.ams.org/visualinsight/2015/01/15/hammersley-sofa/</a><br><a href="https://arxiv.org/pdf/2407.02587">https://arxiv.org/pdf/2407.02587</a><br><a href="https://www.reddit.com/r/math/comments/1h4om4s/solution_to_the_moving_sofa_problem_claimed/">https://www.reddit.com/r/math/comments/1h4om4s/solution_to_the_moving_sofa_problem_claimed/</a>

  129

• MI

  @MichaelDarrow-tr1mn · 1 year ago

  how did you manage to do a whole video on this without even saying pivot once

  1.3K

• MI

  @MichaelPiz · 1 year ago

  Adding lava pools and piranha pits somewhat complicates the geometry.

  772

• TO

  @tomkerruish2982 · 1 year ago

  How hard was it to avoid saying &quot;Pivot! Pivot!&quot;

  651

• GC

  @gcewing · 1 year ago

  There&apos;s a well-known solution to the sofa moving problem that was published by Douglas Adams. You use your time machine to materialise an extra door in the hallway and open it at the moment the sofa is being moved.

  238

• DA

  @danodet · 1 year ago

  A furniture company should make Jineon Baek a Gerver’s sofa and a moving company should deliver it to him.

  67

• JA

  @jacobryan9403 · 1 year ago

  LMAO the the summoning salt music love to see it. I gave up reading the paper after understanding the definitions, but kudos for the breakdown. great video!

  213

• DM

  @dmdeemer · 1 year ago

  I&apos;m totally going to go to a furniture store and ask for a Gerver Sofa.

  252

• AC

  @ActuallyArbitrary · 1 year ago

  I will put forth the idea of a segmented couch, with square pieces that interlock in the room, allowing for an infinite couch.

  31

• OM

  @OmPatil-zj9uo · 1 year ago

  &quot;A famous math problem was unsolved... until someone solved it&quot;

  37

• AN

  @antoniofigueroa887 · 1 year ago

  Couch companies: make sofas in any shape BUT this

  107

• JJ

  @jjcvip · 1 year ago

  I attended a talk last year regarding the moving sofa problem at Rutgers Camden, in which Gerver himself was in attendance. I forgot the name of the speaker unfortunately, but based on that talk I would guess Gerver&apos;s sofa is optimal. It&apos;s a fun optimization problem

  77