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computational-geometry

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NURBS curves and surfaces, mesh geometry, boolean operations, subdivision surfaces, tessellation methods, surface analysis, and point cloud processing for AEC computational design

skills/computational-geometry/SKILL.md

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# Computational Geometry for AEC

This skill encapsulates the full breadth of computational geometry knowledge required for architecture, engineering, and construction workflows. It covers fundamental primitives, advanced surface mathematics, mesh processing, tessellation strategies, point cloud pipelines, and the precise tolerance management that separates prototype-grade geometry from fabrication-ready output.

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## 1. Geometry Type Hierarchy

Every computational design system is built on a layered hierarchy of geometric types. Understanding the properties, capabilities, and conversion paths of each type is essential for selecting the right representation at every stage of a project.

### 1.1 Points, Vectors, Planes, Frames

**Point (Point3d)**
- Definition: A dimensionless location in 3D Euclidean space defined by (x, y, z) coordinates.
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