Perfect Half

⚔️

PERFECT
HALF

Cut the shape exactly into 50.0%

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⚔️ PERFECT HALF

Perfect Half is a spatial reasoning puzzle game that challenges your ability to judge areas and volumes. Your mission is simple: draw a single line to cut various complex polygons into two identical pieces, each exactly 50.0% of the original size.

🎮 How to Play

1. Aim Your Cut

Tap and drag across the shape to determine the cutting line. A red dashed guide will help you visualize the slice.

2. Release to Slice

Release your finger to execute the cut. The game will calculate the area of both resulting polygons in real-time.

3. Clear Condition

To pass a level, the resulting ratio must be within ±1.0% of the target 50.0%. Aim for a "GOD PERFECT" (within 0.1%)!

💻 Under the Hood

This game utilizes advanced computational geometry algorithms. When a user draws a line, the engine performs a "Polygon-Line Clipping" operation, calculating intersections with every edge and re-sorting vertices to create two new valid polygons. Area calculation is performed using the Shoelace Formula (Gauss's area formula).