threejs-core-math

threejs-core-math is a skill for Claude Code, Codex from Impertio-Studio/Three.js-Claude-Skill-Package. It costs 130 tokens per session (2,958 once invoked), scanned A, original, MIT.

A reference for the mathematics used to position, rotate, scale, and transform objects in Three.js, a JavaScript library for 3D graphics. It covers vectors, matrices, quaternions, colors, and coordinate systems.

In plain words
What is it for?
Use it when working with positions, directions, transformations, rotations, colors, bounding boxes, or imported models in Three.js.
Why use it?
3D math errors can turn objects the wrong way, mutate shared values, or cause confusing rotations. It explains the relevant Three.js types and common coordinate conversions.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one. Also seen: mentions Claude Code.

Good fit Use it when working with positions, directions, transformations, rotations, colors, bounding boxes, or imported models in Three.js.

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Install with agentmods
npx agentmods add skills/impertio-studio/three.js-claude-skill-package/threejs-core-math
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.

Any agent
npx skills add Impertio-Studio/Three.js-Claude-Skill-Package --skill threejs-core-math
Clone the repo
git clone --depth 1 https://github.com/Impertio-Studio/Three.js-Claude-Skill-Package

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for threejs-core-math

README.md
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Your own site
<a href="https://agentmods.dev/skills/impertio-studio/three.js-claude-skill-package/threejs-core-math"><img src="https://agentmods.dev/badge/skills/impertio-studio/three.js-claude-skill-package/threejs-core-math.svg" alt="Measured on agentmods" height="20"></a>
Per session 130 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 2,958 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
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 5.1 $0.00130 $0.02958
Opus 5 $0.00065 $0.01479
Sonnet 5 $0.00026 $0.00592
Haiku 4.5 $0.00013 $0.00296

Measured 8d ago against content hash bae9c0bcd1ab, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-08, from the pricing page.

Security

Grade A, and why

threejs-core-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 8d 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/source/threejs-core/threejs-core-math/SKILL.md · 259 lines

How it starts

The opening of the file, as written. The whole thing — 259 lines — stays where its author put it; the contents beside it link to each section on GitHub.

threejs-core-math

Quick Reference

Coordinate System

Three.js uses a right-handed coordinate system with Y-up:

Axis Direction Notes
X Right Positive toward screen right
Y Up Positive toward ceiling
Z Toward viewer Positive out of the screen

Import conversion rules:

Source Convention Conversion
Blender Z-up glTF exporter converts automatically
FBX Z-up FBXLoader converts automatically
OBJ No standard ALWAYS verify orientation after loading
IFC Z-up ALWAYS apply -90 degree X rotation or use a converting loader

NEVER assume imported models match Three.js conventions -- ALWAYS verify orientation after loading.

Core Math Classes

Class Purpose Identity/Default
Vector3 Position, direction, scale (0, 0, 0)
Vector2 UV coordinates, 2D positions (0, 0)
Vector4 Homogeneous coordinates, shader data (0, 0, 0, 0)
Matrix4 4x4 transformation matrix Identity matrix
Quaternion Rotation without gimbal lock (0, 0, 0, 1)
Euler Human-readable rotation angles (0, 0, 0, 'XYZ')
Color RGB color (0-1 range) (1, 1, 1) white
Box3 Axis-aligned bounding box Empty (+Inf min, -Inf max)
Sphere Bounding sphere Center origin, radius -1
Plane Infinite plane Normal (1,0,0), constant 0
Ray Origin + direction Origin (0,0,0), direction (0,0,-1)
Frustum 6-plane view frustum --

Critical Warnings

NEVER modify a Vector3/Matrix4/Quaternion that is shared between objects -- most methods mutate in-place. ALWAYS use .clone() before modifying shared instances.

// WRONG: mutates the shared vector
const offset = new Vector3(1, 0, 0);
meshA.position.add(offset);
meshB.position.add(offset); // offset is still (1, 0, 0) BUT if you
                             // had stored meshA.position somewhere,
                             // it would be mutated

// CORRECT: clone before mutation
const pos = sharedPosition.clone().add(offset);

Read the full file on GitHub · 259 lines

Files

What ships with it

4 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

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. 8d ago First seen · 259 lines · 130 tokens per session scan A bae9c0bcd1ab

Subscribe to this mod's changes

threejs-core-math is a skill published in the GitHub repository Impertio-Studio/Three.js-Claude-Skill-Package (12 stars, last pushed 2mo ago), licensed MIT. It adds 130 tokens to every session and 2,958 once invoked, about $0.0006 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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