⟨F⟩ Fibonacci Generator

A premium dark-themed desktop application built with Python and Tkinter that provides a complete suite of Fibonacci sequence tools — all in one elegant GUI.

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🖼️ Features

Tab	Description
🔢 Generate Series	Generate the first N Fibonacci numbers with live stat pills (count, sum, largest, even count)
🔍 Check Number	Check if any number is a Fibonacci number; shows nearest lower & upper Fibonacci
📍 Nth Term	Find the exact Fibonacci number at any position (0-indexed)
📊 Statistics	Full breakdown — sum, average, golden ratio, even/odd numbers
🔄 Reverse Series	Display the Fibonacci series in descending order
📈 Visualizer	Animated color bar chart of the series (up to 30 terms)
ℹ️ About	App information and project details

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🚀 Getting Started

Prerequisites

• Python 3.x (Tkinter is included by default)

Run the App

git clone https://github.com/YOUR_USERNAME/HexSoftwares_Fibonacci_Generator.git
cd HexSoftwares_Fibonacci_Generator
python fibonacci_generator.py

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🧮 How It Works

The Fibonacci sequence is defined by the recurrence relation:

F(0) = 0
F(1) = 1
F(n) = F(n-1) + F(n-2)   for n > 1

Result: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ...

Checking if a number is Fibonacci

A number N is a Fibonacci number if and only if one or both of (5N² + 4) or (5N² − 4) is a perfect square.

Golden Ratio

As N grows, the ratio of consecutive Fibonacci numbers approaches the Golden Ratio φ ≈ 1.6180339887...

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📁 Project Structure

HexSoftwares_Fibonacci_Generator/
│
├── fibonacci_generator.py   # Main application
└── README.md                # Project documentation

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🛠️ Built With

• Python 3 — Core language
• Tkinter — GUI framework (built-in)
• Math — Perfect square checks (built-in)

✅ Zero external dependencies — runs out of the box!

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📸 App Preview

┌─────────────────────────────────────────────────────┐
│  ⟨F⟩  FIBONACCI GENERATOR    Hex Softwares Internship│
├──────────────┬──────────────────────────────────────┤
│ 🔢 Generate  │   Enter how many numbers to generate  │
│ 🔍 Check     │   ┌──────────────┐  [ Generate ]      │
│ 📍 Nth Term  │   │  e.g. 15     │                    │
│ 📊 Statistics│   └──────────────┘                    │
│ 🔄 Reverse   │   Count: 15  Sum: 986  Largest: 610   │
│ 📈 Visualizer│                                        │
│ ℹ️  About    │   [0]  0                               │
│              │   [1]  1    ...                        │
└──────────────┴──────────────────────────────────────┘

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👨‍💻 Author

Ubaidullah Waheed

Developed as Task 1 of the Hex Softwares Python Programming Internship.

• 🌐 Hex Softwares
• 📧 info@hexsoftwares.tech
• 💼 LinkedIn — Hex Softwares

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📄 License

This project is licensed under the MIT License.