The tautochrone property is really neat to see. It's also fascinating that there are these connections to geometry and physics: the rolled circle cycloid describes the path light would take through a medium which becomes continuously denser.
I wonder if atmospheric density could make light follow a (not incomprehensibly large) cycloid.
I also recommend the 3blue1brown channel, he has wonderfully visual and intuitive explanations of mathy concepts.
The tautochrone property is really neat to see. It's also fascinating that there are these connections to geometry and physics: the rolled circle cycloid describes the path light would take through a medium which becomes continuously denser.
I wonder if atmospheric density could make light follow a (not incomprehensibly large) cycloid.
I also recommend the 3blue1brown channel, he has wonderfully visual and intuitive explanations of mathy concepts.
The tautochrone property is really neat to see. It's also fascinating that there are these connections to geometry and physics: the rolled circle cycloid describes the path light would take through a medium which becomes continuously denser.
I wonder if atmospheric density could make light follow a (not incomprehensibly large) cycloid.
I also recommend the 3blue1brown channel, he has wonderfully visual and intuitive explanations of mathy concepts.