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area calculation

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Model Perspective
Model Perspective
Oct 11, 2023 · Fundamentals

Unlocking Lattice Geometry: How Pick’s Theorem Calculates Polygon Areas

Pick’s Theorem offers a surprisingly simple way to compute the area of any simple lattice polygon by counting its boundary and interior integer points, and this article explains the theorem’s statement, proof sketch, and a step‑by‑step rectangle example illustrating its practical use.

Pick's theoremarea calculationgeometry
0 likes · 3 min read
Unlocking Lattice Geometry: How Pick’s Theorem Calculates Polygon Areas
Python Programming Learning Circle
Python Programming Learning Circle
May 25, 2020 · Fundamentals

Using Python to Compute the Shaded Area of a Sixth‑Grade Geometry Problem

The article demonstrates how to solve a sixth‑grade geometry problem by programmatically drawing the figure with Python, randomly sampling points inside a rectangle, and estimating the shaded region's area through Monte‑Carlo simulation, achieving results close to the exact answer.

Monte Carloalgorithmarea calculation
0 likes · 3 min read
Using Python to Compute the Shaded Area of a Sixth‑Grade Geometry Problem