My decomposition? (Reddit - r/math - new- 5 day ago)
My decomposition? (Reddit - r/math - new- 5 day ago)
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
One day, one decomposition
A001494: Numbers k such that phi(k) = phi(k+2)
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A001494.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A001494.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A001494.html
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
One day, one decomposition
A001481: Numbers that are the sum of 2 squares
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A001481.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A001481.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A001481.html
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
One day, one decomposition
A001463: Partial sums of A001462; also a(n) is the last occurrence of n in A001462
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A001463.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A001463.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A001463.html
One day, one decomposition
A001359: Lesser of twin primes
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/Lesser_twin_primes.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/Lesser_twin_primes.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/Lesser_twin_primes.html
I've been spending time wondering why implementing panning/zooming on a polar #graph was so much more fiddly than I expected
#software #engineering: I wasn't expecting so many weird corner cases, so I reacted to them too late. If I rewrote the code, it would probably be simpler
#math: I think this is really the big one. I was talking with one of the kids and they pointed out that a panned/zoomed cartesian graph is just another cartesian graph, but a panned/zoomed polar graph isn't.
(I *think* what they mean is that pan/zoom are affine transforms in a cartesian graph. Even if the axes are sheared, this is still pretty simple. In polar coordinates this isn't true anymore. But maybe "affine" isn't what I mean or care about. Maybe it's more about self-similarity.)
If that is what's going on, I'm not sure what to do with that information.
What if I converted polar into a wrapped cartesian (i.e. cylindrical) graph, panned/zoomed, then converted back...? That probably doesn't help, since the zoombox also has to transform.
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages https://decompwlj.com
A little more work on axis sizing and controls.
4: The palindromes in base 10 (A002113) https://decompwlj.com/3DgraphGen/Palindromes.html
3: The triangular numbers (A000217) https://decompwlj.com/3DgraphGen/Triangular_numbers.html
2: The prime numbers (A000040) https://decompwlj.com/3DgraphGen/Prime_numbers.html
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
One day, one decomposition
A001102: Numbers k such that k / (sum of digits of k) is a square
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A001102.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A001102.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A001102.html
I covered the results of elections for the US Senate.
https://jasonbeets.blogspot.com/2025/01/republicans-win-senate-control.html
9/x
**Global inequality is the result of two centuries of uneven economic growth**
"_Two hundred years ago, people in all regions were similarly poor. Today, the average incomes of people in Australia, the US, or Denmark are more than 15 times higher than those in Sub-Saharan Africa._"
#Economics #Inequality #Graph #Chart #Data #DataViz @economic
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
One day, one decomposition
A001097: Twin primes
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/Twin_primes.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/Twin_primes.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/Twin_primes.html