Freya Holméryou've heard of sine and cosine
now get ready for uh squine and cosquare
j_bertolotti@acegikmo AKA as "sine and cosine in the taxicab metric" 😃
TobyBartels@j_bertolotti @acegikmo : The circle in the taxicab metric (l¹) is a diagonal square with half this size. This is the circle in the l^∞ metric (which doesn't have a cute name as far as I can remember).
Andrew@TobyBartels @j_bertolotti @acegikmo i think it's sometimes called the chessboard metric, as it's kind of "distance in king's moves"?
@TobyBartels @andrewt @j_bertolotti I've usually hear it called Chebyshev distance, but idk how commonly used it is!
or max-norm or something of the kind
there's also rectilinear distance but I always forget if that's taxicab or chebyshev
@acegikmo @TobyBartels @j_bertolotti I think I did use it in my PhD but only really to speed up a calculation, it wasn't actually *better* for anything
space slut 
@acegikmo @TobyBartels @andrewt @j_bertolotti when i studied maths (in german) it was called supremum norm, but i've also heard it be called chebyshev distance
@spacekatia @acegikmo @andrewt @j_bertolotti : Both ‘max’ and ‘supremum’ strike me as straightforward descriptions, not fun names like ‘Manhattan’ and ‘chessboard’, while ‘Chebyshev’ lies in between. (But it makes a counterpart to ‘Euclidian’, so now I want to know who to name the l¹ metric after.)
@TobyBartels @acegikmo @andrewt @j_bertolotti doctor manhattan of course (minkowsky already has too many metrices named after him)
jokes aside, you could probably name it after frigyes riesz, who first considered it as a distance metric at the same time as minkowsky
@TobyBartels @acegikmo @andrewt @j_bertolotti also i always found manhattan metric a nice illustratine example of why you'd consider metrics besides euclidean even in day to day life tbh
@spacekatia @TobyBartels @acegikmo @j_bertolotti oh yeah, dr manhattan, the guy who invented the bomb, i think they named a street after him or something
PlasmaGryphon@j_bertolotti @acegikmo for a square with sides parallel to axes it would be Chebyshev or L_inf metric. Taxicab/Manhattan/L_1 metric gives a square 45 degrees from axes (a diamond) for points equidistant from origin.