PascalTriangle \LaTeX{} Package

PascalTriangle is a \LaTeX{} package that provides a simple and highly customizable way to generate and visualize Pascal's triangle using TikZ. It supports both rectangular and hexagonal layouts, modular coloring patterns, and factorial display.

📦 Repository: https://github.com/HubertMisonia/PascalTriangle

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🚀 Installation

You can install PascalTriangle.sty by downloading it directly into your project folder (no move needed):

MacOS / Linux (using curl or wget)

curl -O https://raw.githubusercontent.com/HubertMisonia/PascalTriangle/main/PascalTriangle.sty

or

wget https://raw.githubusercontent.com/HubertMisonia/PascalTriangle/main/PascalTriangle.sty

Windows (PowerShell)

Invoke-WebRequest -Uri "https://raw.githubusercontent.com/HubertMisonia/PascalTriangle/main/PascalTriangle.sty" -OutFile "PascalTriangle.sty"

Then, in your .tex file:

\usepackage{PascalTriangle}

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✨ Features

• Draw Pascal’s triangle in rectangular or hexagonal form
• Highlight divisibility patterns using modular arithmetic
• Show factorial formulas for each binomial coefficient
• Fully configurable style: radius, margin, font size, etc.

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📐 Options

All options are passed to the \PascalTriangle command as key-value pairs:

Option	Type	Description
rows	integer	Number of rows to render (default: 6)
radius	float	Size of each hexagon or rectangle (default: 1.0)
fontSize	float	Text scaling factor (default: 0.7)
margin	float	Inner spacing inside shapes (default: 0)
nodeType	string	hex or rect (default: hex)
pattern	string	none or divisibility (default: none)
divisor	integer	Used when pattern=divisibility to color entries divisible by this number
showFormula	boolean	true or false — whether to show binomial formula below each value

⚠️ Note: To avoid parsing errors, all options must be written on the same line. Do not use line breaks or trailing commas.

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📊 Usage Examples

Basic Hexagonal Triangle

\PascalTriangle

Rectangular Triangle

\PascalTriangle[rows=6, nodeType=rect, radius=0.8, margin=0.08, fontSize=0.7]

Divisibility by 3 (Hexagonal with Formula)

\PascalTriangle[pattern=divisibility, divisor=3, radius=0.9, margin=0.04, fontSize=0.7, showFormula=true]

Multiple Divisibility Visualizations

\PascalTriangle[rows=13, pattern=divisibility, divisor=5, radius=0.5, margin=0.03, fontSize=0.7]

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📄 License

This project is currently not under any license. Please contact Hubert Misonia before using it for commercial or redistribution purposes.

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View Documentation (PDF)

👨🏾‍💻 Author

Hubert Misonia — @HubertMisonia on GitHub