How I Solved Minecraft’s Squashed-Potato Sphere Problem

If you've ever tried to build a sphere in Minecraft, you know the pain. You start with a circle, stack layers, and hope it looks round. But a sphere isn't a stack of circles — it's a continuous surface approximated in a blocky grid. Get the layers wrong, and your sphere looks like a squashed potato.

I built a free, browser‑based Minecraft Sphere Generator that creates perfect voxel spheres with layer‑by‑layer blueprints. The tool is used by thousands of Minecraft builders, server owners, and content creators. But behind that simple interface is an elegant geometric algorithm that solves a surprisingly hard problem: how do you represent a mathematically perfect sphere in a discrete 3D grid of blocks?

This article dives into the math, the code, and the engineering decisions behind it.

The Problem: A Sphere in a Block World

A sphere is defined by the equation:

x² + y² +...

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