3 ms·
Interesting. It's probably not worth defining a new constant for exp(2π), but this is a further demonstration of the Tau Manifesto's argument that 2π is much mo
by orangecat 3y ago
Interesting. It's probably not worth defining a new constant for exp(2π), but this is a further demonstration of the Tau Manifesto's argument that 2π is much more of a fundamental value than π.
- garbagecoder 3y agoFundamental sounds like a value judgment. Pi is transcendental. 2 isn't. That's really the distinction. Unless there were other finite factors in pi, that is the number that's always going to have to be approximated in computation.
- ohwellhere 3y ago"Tau is transcendental. 0.5 isn't." It's definitely a value judgment. But the value judgment is: Is the radius or the diameter more fundamental to a circle?
- BlueTemplar 3y agoAs the Tau manifesto points out, tau/4 = pi/2 = lambda is pretty fundamental too ! (The "orthogonality constant" ?)
- garbagecoder 3y agoGeometry isn't the only application of pi. Nor is the geometric interpretation the only way to determine what is "fundamental." Why not use Darians? http://proper-pi-manifesto.com http://proper-pi-manifesto.com
- bmacho 3y agoFundamental sounds meaningless to me. Talking about statements and words with meaning I am sure, that Tau is the more useful circle constant out of these two: less symbols, conceptually clearer equations. Also turn is generally a more useful measurement unit for angle than radian or degree, but radian has its own merits, and not disposable, unlike pi.