PUZZLE #5513: Bezier Curve (diff 4)
A 4-point Bezier curve traversing a 10x10 grid. Evaluate at given t-values.
DATA
| Grid |
['M', 'S', 'I', 'Q', 'N', 'W', 'J', 'Y', 'S', 'I'], ['Z', 'U', 'P', 'E', 'O', 'C', 'C', 'K', 'M', 'B'], ['S', 'T', 'Q', 'E', 'R', 'N', 'U', 'A', 'L', 'V'], ['R', 'K', 'I', 'A', 'U', 'T', 'R', 'A', 'A', 'P'], ['K', 'B', 'S', 'J', 'M', 'A', 'V', 'U', 'E', 'D'], ['Q', 'B', 'T', 'A', 'C', 'N', 'U', 'B', 'H', 'J'], ['O', 'Y', 'J', 'D', 'B', 'W', 'T', 'G', 'J', 'B'], ['G', 'I', 'O', 'N', 'E', 'N', 'U', 'K', 'B', 'I'], ['E', 'K', 'A', 'P', 'S', 'N', 'U', 'P', 'X', 'K'], ['Y', 'R', 'Z', 'S', 'O', 'F', 'Y', 'N', 'T', 'D']
|
| Grid Size |
10
|
| Control Points |
[0, 5], [5, 7], [5, 6], [0, 2]
|
| T Values |
0.1, 0.2, 0.3, 0.4, 0.57, 0.63, 0.742, 0.8, 0.9
|
| 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 10x10 grid. The curve may pass between grid cells — round to nearest integer.
|
| Answer Format |
comma-separated path coordinates
|
author's note: Pool fill: bezier diff 4
— website sponsored —
[ ad space ]