Minecraft Sphere Generator

A sphere is built by sending one layer at a time from the bottom to the top, and unlike a circle or cylinder, the layers are not identical. The bottom layer is a small circle, each layer grows wider as it approaches the middle, and then the layers shrink again through the top half.

While building, place one layer exactly as shown and then switch to the next layer grid before continuing, since each one has a different outline. Handling each layer switch carefully keeps the overall shape rounded even if a single layer is slightly off. Checking which height is currently being worked on against the blueprint helps avoid losing track partway through a tall build.

Since the width of each layer changes with height, watching whether a layer has more or fewer cells than the one below it is a useful signal for whether the halfway point has been passed. A layer count that keeps growing means the bottom half is still in progress, and a count that starts shrinking marks the start of the top half.

Sphere only offers the thin style; thick and filled are not available for this shape. Thin keeps only the cells inside the sphere that touch open space in at least one of the six directions, up, down, front, back, left, or right, which produces a hollow shell rather than a solid ball.

The reason slicing a sphere into layers produces circles is that any horizontal slice through a sphere is always a circle, no matter the height. The diameter of that circle is largest at the middle layer and shrinks toward the top and bottom. Stacking these circles bottom to top, each one a different size, is what separates a sphere from a cylinder, which repeats the exact same circle at every layer.

• Why are not thick and filled available for a sphere? Because the diameter changes at every layer, deciding how neighboring layers should connect is more involved than for a flat shape, so only the thin shell is offered for now.
• Why does the block count differ so much between the bottom layer and the middle layer? Each layer has a different diameter, so the smaller cross-sections at the top and bottom use far fewer blocks than the widest cross-section at the middle.
• How is the total block count calculated? It is the sum of every layer count, shown in stacks of 64 with a remainder, so there is no need to add up the per-layer numbers by hand.
• How does the number of layers change with a larger diameter? The diameter is also the number of layers, so doubling the diameter doubles the number of layers to stack, and each layer grid grows by the same ratio.