Implementation is more important than ideas.

Beautiful

The fix was to be smarter about avoiding this extra bookkeeping in cases that we can determine it won't be used.

We recently added some extra bookkeeping that's designed to make higher order derivatives faster. However, in this graph, which evaluates a first derivative at many many different points, the calculator was spending all its time on this new bookkeeping.

This should be fixed now. Thank you for reporting!

Good news: this should be fixed now. Thanks for reporting Luke!

Makes me really happy that this doesn’t feel too onerous just do again when you want it again.

Amazing! Thank you.

We learned today that WebKit/Safari has special behavior for desmos.com hard coded in. Guess we’re in the big leagues! github.com/WebKit/WebKit/blo…

Forgot about the amnesia, eh?

Michael Crichton called this “Gell-Mann Amnesia.” See “Why Speculate?” in en.wikipedia.org/wiki/Michae…

You can write this as a linear transformation of (p, 1), and then take the nth power of that matrix: wolframalpha.com/input?i=%7B… I think the result is T^m(p) = exp(inm)p + (exp(in)a+b)(exp(inm)-1)/(exp(in)-1)

Ouch

My first grade teacher taught us Chisanbop, which allows counting to 9 on one hand or 99 on two hands by assigning different place values to different fingers. I still use it all the time. en.m.wikipedia.org/wiki/Chis…

The logarithmic spiral has a closed form arc length parameterization too. In general, I think curves with simple polar coordinate representations are good candidates for having closed form arc length parameterizations. desmos.com/calculator/1gzwmf…

That is a mouthful.

The tractrix has a simple invertible arc length formula that could be used to parametrize it by arc length: en.m.wikipedia.org/wiki/Trac…