Shape Packing Optimization Arena

What it can do

• Pack 15 unit semicircles into an enclosing circle

  Coordinate positions for semicircles → Packing solution with enclosing circle radius

• Calculate packing efficiency

  Semicircle coordinate solution → Efficiency score based on enclosing circle size

• Validate geometric constraints

  Semicircle positions and orientations → Validation result indicating if solution meets requirements

• Submit optimization solution

  User's coordinate-based packing arrangement → Confirmation of submission and calculated score

• Generate leaderboard rankings

  All user submissions with efficiency scores → Ranked list of participants by packing performance

• Visualize packing arrangements

  Semicircle coordinates and enclosing circle data → Interactive geometric visualization of the solution

• Compare multiple packing solutions

  Different user submissions → Side-by-side comparison showing relative efficiency

Why it made the leaderboard

Compete to pack 15 unit semicircles into the smallest possible enclosing circle — submit coordinate solutions and get ranked by packing efficiency, a hands-on geometric optimization playground.

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