Thanks Mark, both of those are really good ways to think about this. The circular track is still a circle but definitely not the same circle, and the ball vs same-size bead is a great way to look at this.

]]>Also, your post shows that rolling and sliding are the same, apart from rolling being slower. The curve to get from A to B fastest is the same for rolling and sliding as long as the ball size is the same and both balls sit on top the track.

]]>yeah, that’s probably stretching it a little far ðŸ™‚

Here’s a twitter thread where I was exploring this a little more with python

Note that targets zero through ~seven have a near 50% chance with any plate!

]]>10= log_{a}(12) + 3,

where a=(12)^(1/7).

It also stretches what we usually mean by “operation.”

]]>I’ve looked at them before (when they were called something else) and I really like the idea of user-friendly latex with good organization, but I’m currently stuck on needing to have a local repository. I’m so wedded to my chromebook for everything so I’m constantly looking for full web implementations. I know that’s a weird requirement, but it’s where I’m stuck currently.

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