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THE FEUTEX TOOLKIT

Lattice Polygon Area from Point Counts

Find the area of a simple lattice polygon from its interior and boundary lattice points.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
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FormulaArea = i+b/2-1
Sources and model references

Made for real tasks

  • Find the area of a simple lattice polygon from its interior and boundary lattice points.
Explore step-by-step workflows →

Worked example

Inputs

Interior lattice points
12 count
Boundary lattice points
10 count

Expected results

Area
16 grid cell²

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter interior lattice points, boundary lattice points.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "i": 12,
  "b": 10
}

Accuracy and scope

Pick theorem applies to a simple polygon with integer-grid vertices and no holes. Counts must include every boundary lattice point.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.