Free · Video games calculators 🎮

Square Ring Pyramid Block Counts

Count odd-square stepped pyramid layers or fit available blocks.

  • Formula & worked example
  • Private in your browser
  • No signup
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

The worked inputs demonstrate the selected model; change a known value or leave an editable unknown empty for a supported inverse.

base=2h−1; total=base²; ring=4side−4 except top=1

Worked example

Enter these known values and leave the other values blank.

Height (number of tiers)
3
n^^th^^ tier
2
Total blocks in inventory
30
Blocks in base (per side)
5
Total blocks needed
25
Blocks per side in n^^th^^ tier
3
Total blocks in n^^th^^ tier
8

Assumptions and limitations

  • Layers are hollow square rings decreasing by two blocks per side, ending in a single top block. This is not a solid sum-of-squares pyramid.
  • Counts and layer indices must be whole positive integers; the base and each ring side are odd.

Common questions

What does this model assume?

Layers are hollow square rings decreasing by two blocks per side, ending in a single top block. This is not a solid sum-of-squares pyramid. Counts and layer indices must be whole positive integers; the base and each ring side are odd.

How do units and inverse calculations work?

Choose compatible units for each quantity. The model converts quantities internally; supported editable fields can be solved from sufficient independent known values. Display rounding does not change the underlying value.

References

Explicit model domains enforce physical bounds and strict whole-count membership where required. Explanatory image content is replaced by original dimension descriptions without changing its visibility.

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