Each coordinate of a closed outline has its own real Fourier series: x(t) = ∑ (aₖ cos kt + bₖ sin kt), and the same for y.
A cosine and sine of frequency k make one arm of length √(aₖ² + bₖ²) turning k times per lap. One chain sets x, one sets y, and the pen sits where their guides cross. With N harmonics per axis the knight is off by 30.2 % of its height at N = 1, 0.70 % at N = 50.
At N = 1 both coordinates are pure sinusoids: an ellipse.
@tailopez It is also possible to be stuck due to decision paralysis, seen opportunities everywhere but not knowing which one is the best long term will slow kill overthinkers
https://t.co/sRyO7OigQ7 is our new home for developers building with Claude.
You'll find engineering deep dives, Claude Code and API guides, tips from the teams building Claude, and some fun easter eggs.
Happy Programmer’s Day. 💻
Day 256 of the year — 2⁸.
A fitting day to celebrate the people who turn:
ideas → logic
logic → code
code → products
products → possibilities
To everyone building, debugging, learning and shipping:
keep creating. 🚀
#ProgrammersDay
I’ve been analyzing these growth trends in @RixCraftsDS. While follow-for-follow threads look tempting, the data shows they mostly benefit the publisher’s algorithm, not the participant. Check out our breakdown! 👇
Ever seen those X posts promising mutual follows to hit a follower goal? 🤔 "Say hello" and they'll follow back, right? These #FollowForFollow threads are everywhere, but what's really going on when you engage? Let's break it down. #XGrowth#SocialMediaTips — by @RixCraftsDS
Just followed @aiTransparency — solid account breaking down how algorithms (esp. YouTube) shape what we see, biases & all.
As an entrepreneur & builder, understanding these systems is key to navigating info overload and building smarter. Worth a follow if you’re into growth 🚀