Interactive Pascal's Triangle

Great American Star - Mathematical Foundation (1/5th Section)
Modified Pascal's Triangle: 71,855,450 Paths per Section

Create a Path - Click Through Each Row

Click on one cell in each row to create your custom path. Current row: 0

Green borders show valid next positions (maximum 2 choices per Pascal's triangle rules).

Mathematical Information

This represents 1/5th of the complete Great American Star. Each cell shows the number of possible paths to that position.

71,855,450
Paths in This Section
359,277,250
Total Star Paths (×5)
24
Rows (0-23)
11→22→21→10
Growth Pattern
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