gm_basic_geometry

Geometry Module - Basic Geometry Example

This example demonstrates fundamental geometric operations using VSL's Geometry Module (gm).

Overview

The example showcases:

• Creating and working with 3D points
• Distance calculations between points
• Working with segments and vectors
• Vector mathematics (dot product, norms, angles)
• Vector arithmetic operations
• Point displacement and cloning
• Segment scaling operations

Features Demonstrated

🔹 3D Points and Distances

• Creating points in 3D space
• Calculating Euclidean distances between points
• Working with special geometric configurations (unit cube, 3-4-5 triangle)

🔹 Segments and Vectors

• Creating line segments between points
• Converting segments to vectors
• Vector operations and calculations

🔹 Vector Mathematics

• Dot product calculations
• Vector norm computation
• Angle calculations between vectors using dot product formula

🔹 Vector Arithmetic

• Vector addition and scaling
• Linear combinations of vectors
• Vector scaling operations

🔹 Point Operations

• Point displacement in 3D space
• Point cloning and manipulation

🔹 Segment Operations

• Segment scaling (shortening/lengthening)
• Segment properties and transformations

Usage

v run main.v

Expected Output

The example produces detailed output showing:

• Point coordinates and relationships
• Distance calculations with mathematical verification
• Vector components and properties
• Angle measurements in degrees
• Results of various geometric operations

Educational Value

This example is perfect for:

• Learning basic 3D geometry concepts
• Understanding vector mathematics
• Exploring geometric relationships
• Getting familiar with VSL's geometry module API

Mathematical Concepts

• Euclidean distance formula: √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²)
• Dot product: a·b = |a||b|cos(θ)
• Vector norm: |v| = √(x² + y² + z²)
• Angle between vectors: θ = arccos((a·b)/(|a||b|))