You know how bees make their honeycomb with all those perfect six sided shapes? For thousands of years, smart mathematicians actually argued about why! They called it the Honeycomb Conjecture (a fancy name for a really old mystery).

It turns out, the hexagon is the absolute best shape for saving material while holding the most stuff. Think of it like this: for the least amount of wax (the walls of the cell), the bees get the biggest possible space inside to store their honey.

Its the same smart idea you see in nature with bubbles or water drops, which are round. A sphere is the best shape to hold the most liquid with the least amount of skin.

So, these tiny bees, without any math classes, somehow figured out a super clever trick that took humans ages to understand. Pretty amazing, right? It just shows that sometimes, the simplest things in nature are the smartest.

#HoneycombConjecture

Kicking off day 2 of AoC

Day 2 done, solutions are added to the repo

Advent of Code 2025 – Day 2 Summary

The puzzle involved identifying invalid product IDs in a series of numerical ranges. Invalid IDs are defined as numbers formed by repeating a block of digits.

Part 1

An ID is invalid if a block repeats exactly twice. Examples include 11, 6464, and 123123. Instead of iterating over every number, I generated candidate IDs using a repeated-block formula and verified whether they fell within the specified ranges.

Part 2

The criteria expanded: an ID is now invalid if a block repeats two or more times. Examples include 12341234, 123123123, and 1111111. I checked all numbers in the ranges against possible block lengths to identify invalid IDs.

#AdventOfCode #AoC2025 #RustLang

No AoC. No coding. No reading. No nothing

My pc just drowned in water💔

10 liters of water btw🙂

Accurate🤣

Hmh🤔

):

Anddd, he sacrifices the ROOOOK (in GothamChess voice)