Gamma Function: Visualization for Complex Arguments

Live math show: dev streams a trippy Gamma curve, dares the internet to judge

TLDR: A dev launched a live Gamma-function visualizer and asked for feedback. Early viewers seem curious, with a likely split between “fun, CC0 code” and “prove accuracy and usefulness” — a tiny tool poised to spark big math-nerd debate.

The internet just got a front-row seat to a live math spectacle: a real-time animation of the Gamma function, with a blue line for the “real” part and a purple line for the “imaginary” part, sweeping back and forth like science ASMR. The creator says it’s an early version and invites feedback, which is basically Reddit’s Bat-Signal for opinions. The code behind it, vanilla_gamma from zeta-calculator.com, is released under a no-strings CC0 license, so anyone can copy, remix, and deploy it. Press X to jump back into the demo; press the ζ icon to visit the mothership — yes, that ζ stands for zeta, the famous math function with a cult following.

With the dev openly asking for a roast, the community mood is already primed for fireworks. Expect the classic split: the “wow, it’s mesmerizing” crowd versus the “show me error bounds and benchmarks” skeptics. Open-source fans are likely to cheer the CC0 release, while educators will eye it for lesson pizzazz. Meanwhile, the memes basically write themselves: blue-team vs purple-team, “math lava lamp,” and “press X to science.” If you’ve ever watched a visualizer ignite a debate over beauty vs. rigor, you know exactly what storm is brewing here — and this one’s just getting started.

Key Points

  • The app visualizes the Euler gamma function Γ(x + i·c), plotting real (blue) and imaginary (purple) parts as c varies.
  • At c = 0, the graph shows the classical real gamma function Γ(x); as c changes, Γ takes complex values.
  • When c becomes large, it resets to 0 and then sweeps into negative values; the imaginary part mirrors across the x-axis during the negative sweep while the real part remains unchanged.
  • The program, “vanilla-gamma-graph,” uses a JavaScript function, vanilla_gamma(), adapted from vanilla_zeta() originally for the Riemann zeta function.
  • vanilla_gamma() is available on zeta-calculator.com under the CC0 license, with instructions for application and reuse.

Hottest takes

"Early version. Comments and feedback welcome." — cpuXguy
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