PUZZLE #5512: Bezier Curve (diff 3)
A 4-point Bezier curve traversing a 9x9 grid. Evaluate at given t-values.
DATA
| Grid |
['V', 'T', 'Y', 'Y', 'I', 'L', 'F', 'K', 'Z'], ['P', 'Z', 'V', 'V', 'D', 'A', 'L', 'Y', 'Z'], ['J', 'X', 'J', 'I', 'O', 'N', 'E', 'N', 'C'], ['O', 'T', 'S', 'A', 'I', 'B', 'Y', 'Q', 'D'], ['Z', 'I', 'R', 'T', 'C', 'T', 'N', 'L', 'L'], ['I', 'N', 'E', 'T', 'M', 'J', 'P', 'O', 'A'], ['Z', 'K', 'E', 'I', 'Y', 'J', 'L', 'U', 'A'], ['G', 'T', 'H', 'L', 'T', 'G', 'J', 'K', 'F'], ['I', 'Q', 'N', 'Q', 'Q', 'F', 'H', 'O', 'L']
|
| Grid Size |
9
|
| Control Points |
[4, 1], [2, 6], [7, 0], [0, 6]
|
| T Values |
0.111, 0.222, 0.333, 0.773, 0.842, 0.898, 0.918, 0.971
|
| Num Control Points |
4
|
| Format |
Evaluate the Bezier curve at each t-value. The resulting (x,y) coordinates map to cells in the grid. The letters at those cells spell the answer.
|
| Method |
De Casteljau's algorithm
|
| Hint |
Bezier curve with 4 control points on a 9x9 grid. Use De Casteljau's algorithm to evaluate the curve at each t. Round coordinates to integers.
|
| Answer Format |
comma-separated path coordinates
|
author's note: Pool fill: bezier diff 3
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