In knot theory, there are different ways to define a limit Posted on 2022/03/15 by Carl Reply In knot theory, there are different ways to define a limit. The "geometric limit" looks at hyperbolic geometry of the knot exterior. The geometry of the exterior of twist knots looks more and more like (ie almost isometric to) the geometry of the exterior of the Whitehead link.— Jessica S Purcell (@JessicaSPurcel1) March 6, 2022

Connecting Artifacts 01 Posted on 2022/03/15 by Carl Reply Connecting Artifacts 01 授業「個と群」をきっかけに協働している割鞘さんが東京大学総長賞を受賞しました！おめでとうございます！https://t.co/sFOCIXysGG pic.twitter.com/rJxAFTdU7u— TachiLab/OrigamiLab (@LabOrigami) March 5, 2022

Cubic puzzle Posted on 2022/03/15 by Carl Reply pic.twitter.com/nXpFcjJJGY— Daniel Piker (@KangarooPhysics) March 5, 2022

If the annual probability for some event is 1%, then the cumulative probability that this event happens within 100 years is 63%. Posted on 2022/03/15 by Carl Reply It's not very intuitive how large the cumulative probability of an event is for which the annual probability is low. So I made this chart.If the annual probability for some event is 1%, then the cumulative probability that this event happens within 100 years is 63%. pic.twitter.com/DIxyurBzpo— Max Roser (@MaxCRoser) March 4, 2022

Why don’t Jigsaw Puzzles have the correct number of pieces? Posted on 2022/03/15 by Carl Reply My latest video introduces a sassy new AI bot that has opinions. It’s named “JIG”, which is pronounced exactly the same as GIF backwards. https://t.co/UdGwfDfs8l— Matt Parker (@standupmaths) March 3, 2022

Primitive Pythagorean triple have the form (m^2 – n^2, 2mn, m^2 + n^2) for positive integers m and n, one odd and one even Posted on 2022/03/15 by Carl Reply Primitive Pythagorean triple have the form (m^2 – n^2, 2mn, m^2 + n^2) for positive integers m and n, one odd and one even.— Algebra Etc. (@AlgebraFact) March 3, 2022

Resources for displaced mathematicians￼ Posted on 2022/03/15 by Carl Reply Resources for displaced mathematicians Resources for displaced mathematicians https://t.co/ALlpYD9zgm— MathFeed (@MathFeed) March 3, 2022

Greek letters Posted on 2022/03/11 by Carl Reply Okay this is preliminary but I believe it is correct to first order. pic.twitter.com/fLpwZcLCfJ— Katie Mack (@AstroKatie) March 2, 2022

T_n( cos(theta) ) = cos(n theta) where T_n is the nth Chebyshev polynomial of the first kind Posted on 2022/03/11 by Carl Reply T_n( cos(theta) ) = cos(n theta) where T_n is the nth Chebyshev polynomial of the first kind.— Algebra Etc. (@AlgebraFact) March 2, 2022