“What do you play 4D chess on?”/“A chesseract!”

“Chesseract” (chess + tesseract) is a four-dimensional chess game that was made in 2000. “How do you call friends playing chess? Chess mates? And in 4D? Chesseract mates?” was posted on Twitter by Olaf Doschke on November 8, 2018.
     
A riddle was posted on Reddit—Jokes on February 10, 2021:
     
Q: What do you play 4D chess on?
A: A chesseract!
   
   
Wikipedia: Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.[1] Just as the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells. The tesseract is one of the six convex regular 4-polytopes.
 
Wikipedia: List of four-dimensional games
Chesseract table Jim Aikin, Robert Price 2000 Proprietary zrf 2D section
     
Twitter
I͈̣͒ͯ͠ǩ̻̪̻̺̎ͅeͭ̿̈́
@iellswo
“When I tell people about chesseract nerds will ask ‘how do you play’ while normal people ask ‘why play 4 dimensional chess”
@BlueWales73
7:41 PM · Dec 12, 2013·Twitter Web Client
 
Twitter
Michael Reitz
@MrReitz
@Anna_Chess
Have you tried chesseract? (4d chessboard)
7:08 PM · Sep 9, 2018·Twitter for Android
   
Twitter
Glacken
@SiGlacken
Replying to @luke_morton
What do you call a progressive metal band who love playing strategy board games?
ChesseracT
12:34 PM · Oct 30, 2018·Twitter for iPhone
   
Twitter
Brad Madajczyk
@bradajczyk
Replying to @thephysicsgirl and @AnyTechnology
Tesseract chess sets? I believe he means Chesseract sets
4:39 PM · Nov 8, 2018·Twitter Web Client
   
Twitter
Olaf Doschke
@OlafDoschke
Replying to @thephysicsgirl and @AnyTechnology
How do you call friends playing chess? Chess mates?
And in 4D? Chesseract mates?
This could be something to sell in the pun shop I once wanted to start
How about 4D Boggle on that board?
4:55 PM · Nov 8, 2018·Twitter Web Client
   
Twitter
BPJ
@BPJ_It
I heard some people say I’m playing 4D chess. They’re wrong because it’s actually called the chesseract.
5:31 PM · Aug 29, 2020·Twitter Web App
 
Reddit—Jokes
Posted by u/bourbonic_plague February 10, 2021
What do you play 4D chess on?
A chesseract!