💡 [Feature]: add calculation breakdown and visualizers to `math/Happy-Number`

[Facelessism]

❓ Problem Statement

The current math/Happy-Number displays only the sequence of numbers generated during the process. While users can see the progression, they cannot easily understand how each number is derived from the previous step.

🚀 Proposed Enhancement

Enhance the visualizer by displaying the digit square calculation used to generate each next number and introducing a simple step by step animation for sequence rendering. This would make the project more engaging and help users in better understand the algorithm.

🛠️ Suggested Implementation

• extend the calculation logic to store the mathematical breakdown for each steps
• display the calculation below or beside each node in the Tkinter visualizer
• highlight the currently animated node to improve visual clarity

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• I am a registered GSSoC 2026 contributor.
• I would like to implement this feature myself.

[github-actions]

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[Facelessism]

@steam-bell-92 do assign this issue with valid GSSoC tags if it aligns with the current progress