Computer & Data Science
Birthday Paradox
P = 1 − e^(−n²/730)
The odds that two people share a birthday cross 50% at just 23 people — the same quadratic collision growth that governs hash-table and cryptographic birthday attacks.
Computed & rendered in pure C# on the frozen OnlyCSharp 1.8 library — animation baked to GIF with the library's own
Gif encoder (no GPU, no ffmpeg, no external packages).