PUZZLE #3906: Bezier Curve (diff 2)
A 3-point Bezier curve traversing a 8x8 grid. Evaluate at given t-values.
DATA
| Grid |
['I', 'W', 'H', 'D', 'C', 'C', 'Z', 'D'], ['V', 'N', 'N', 'N', 'S', 'G', 'U', 'D'], ['W', 'D', 'E', 'N', 'O', 'Z', 'P', 'R'], ['P', 'P', 'S', 'M', 'R', 'Y', 'Z', 'J'], ['O', 'X', 'X', 'S', 'L', 'I', 'C', 'N'], ['E', 'S', 'B', 'S', 'L', 'Z', 'S', 'U'], ['X', 'Y', 'K', 'T', 'A', 'J', 'O', 'K'], ['Y', 'E', 'O', 'E', 'J', 'E', 'G', 'E']
|
| Grid Size |
8
|
| Control Points |
[7, 6], [0, 6], [7, 3]
|
| T Values |
0.1, 0.2, 0.3, 0.409, 0.708, 0.768, 0.878, 0.913, 0.963
|
| Num Control Points |
3
|
| 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 3 control points on a 8x8 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 2
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