geometry-and-math

A guide to Phaser 4 tools for coordinates, shapes, vectors, distances, angles, intersections, random values, and smooth value changes.

In plain words
What is it for?
Use it for checking whether shapes overlap, finding distances or angles, moving along directions, generating random values, and limiting or interpolating values.
Why use it?
It provides reusable calculations and shape tests so game code does not need to implement common geometry and math itself.

Skill for Claude CodeCodex

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

agentmods
npx agentmods add skills/phaserjs/phaser/geometry-and-math
Any agent
npx skills add phaserjs/phaser --skill geometry-and-math
Clone the repo
git clone --depth 1 https://github.com/phaserjs/phaser

Made for: Claude Code, Codex.

Per session 64 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 6,722 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. Scan, not verified.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5 $0.00064 $0.06722
Opus 5 $0.00032 $0.03361
Sonnet 5 $0.00013 $0.01344
Haiku 4.5 $0.00006 $0.00672

Measured 2d ago against content hash b03b95ae172a, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

geometry-and-math scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 2d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/geometry-and-math/SKILL.md · 498 lines

How it starts

The opening of the file, as written. The whole thing — 498 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Phaser 4 — Geometry and Math

Geom classes (Circle, Ellipse, Line, Polygon, Rectangle, Triangle), intersection tests, and Math utilities (Vector2, Vector3, Matrix4, angles, distances, interpolation, easing, random, snap, clamp).

Related skills: graphics-and-shapes.md, physics-arcade.md


Quick Start

// Create geometry objects (these are data only, not renderable)
const rect = new Phaser.Geom.Rectangle(10, 20, 200, 100);
const circle = new Phaser.Geom.Circle(400, 300, 50);
const line = new Phaser.Geom.Line(0, 0, 100, 100);

// Point containment
rect.contains(50, 50);    // true
circle.contains(410, 310); // true

// Intersection test
Phaser.Geom.Intersects.CircleToRectangle(circle, rect); // boolean

// Math utilities
const v = new Phaser.Math.Vector2(3, 4);
v.length();      // 5
v.normalize();   // {x: 0.6, y: 0.8}

const dist = Phaser.Math.Distance.Between(0, 0, 100, 100);
const angle = Phaser.Math.Angle.Between(0, 0, 100, 100);
const clamped = Phaser.Math.Clamp(150, 0, 100); // 100

Core Concepts

Geometry objects are pure data containers holding coordinates and dimensions. They are NOT game objects and cannot be added to the display list. To render geometry, use the Graphics game object or Shape game objects (see graphics-and-shapes.md).

Every geom class has a type property set to a Phaser.Geom constant for fast type checks.

All geom classes share a common instance method pattern:

  • contains(x, y) -- point-in-shape test
  • getPoint(position, output?) -- point at normalized position (0-1) on perimeter
  • getPoints(quantity, stepRate?, output?) -- evenly spaced points on perimeter
  • getRandomPoint(output?) -- random point inside the shape
  • setTo(...) -- reset all properties
  • setEmpty() -- zero out the shape
  • setPosition(x, y) -- move origin/center

Each geom type also has a folder of static helper functions (e.g., Phaser.Geom.Rectangle.Contains, Phaser.Geom.Circle.Area).


Geometry Classes

Class Namespace Constructor Key Properties
Circle Phaser.Geom.Circle (x, y, radius) x, y, radius, diameter, left, right, top, bottom
Ellipse Phaser.Geom.Ellipse (x, y, width, height) x, y, width, height, left, right, top, bottom
Line Phaser.Geom.Line (x1, y1, x2, y2) x1, y1, x2, y2, left, right, top, bottom
Polygon Phaser.Geom.Polygon (points) area, points (array of Vector2Like)
Rectangle Phaser.Geom.Rectangle (x, y, width, height) x, y, width, height, left, right, top, bottom, centerX, centerY
Triangle Phaser.Geom.Triangle (x1, y1, x2, y2, x3, y3) x1, y1, x2, y2, x3, y3

Read the full file on GitHub · 498 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 2d ago First seen · 498 lines · 64 tokens per session scan A b03b95ae172a

Subscribe to this mod's changes

geometry-and-math is a skill published in the GitHub repository phaserjs/phaser (40,246 stars, last pushed 12d ago), licensed MIT. It adds 64 tokens to every session and 6,722 once invoked, about $0.0003 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.

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