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Minecraft Pyramid Block Calculator

Plan a centered square Minecraft pyramid from its height or base width, compare solid and hollow construction, and inspect the dimensions and material count of every tier.

Minecraft stepped-pyramid dimensions

A centered square pyramid becomes two blocks narrower on every higher tier: one block is removed from each side. A one-block summit gives an odd base width; a 2-by-2 summit gives an even base width.

For height h, the base is 2h−1 blocks wide with a one-block summit or 2h blocks wide with a 2-by-2 summit.

Solid and hollow block counts

Solid mode fills every square tier. Hollow mode counts only each tier's one-block perimeter, leaving the interior open. Floors, rooms, supports, lighting, and decoration need additional blocks.

Formula variables

hh
Height in tiers
ss
Summit width, 1 or 2
wnwₙ
Width of tier n
Base width
b=s+2(h1)b=s+2(h-1)
Solid tier
Bn=wn2B_n=w_n^2
Hollow tier
Bn=4wn4B_n=4w_n-4
Total
B=sumn=1hBnB=sum_{n=1}^{h}B_n

Examples

20-tier hollow monument

Input

Height 20; 1 × 1 summit; hollow

Show result

Result

39 × 39 base and 1,521 blocks

50-tier solid pyramid

Input

Height 50; 1 × 1 summit; solid

Show result

Result

99 × 99 base and 166,650 blocks

Frequently Asked Questions

How wide is the base for a 100-block-tall pyramid?

With a one-block summit it is 199 × 199. With a 2 × 2 summit it is 200 × 200.

Does hollow mode include a floor?

No. It counts only the perimeter ring of each stepped tier.

References

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