PUZZLE #5057: Bezier Curve (diff 1)
A 3-point Bezier curve traversing a 7x7 grid. Evaluate at given t-values.
DATA
| Grid |
['V', 'K', 'P', 'M', 'Q', 'Q', 'C'], ['V', 'W', 'X', 'A', 'R', 'T', 'L'], ['X', 'G', 'C', 'U', 'R', 'K', 'B'], ['H', 'Q', 'A', 'C', 'V', 'Y', 'F'], ['I', 'S', 'K', 'V', 'E', 'O', 'R'], ['Z', 'F', 'W', 'O', 'E', 'T', 'V'], ['I', 'X', 'D', 'G', 'Y', 'J', 'P']
|
| Grid Size |
7
|
| Control Points |
[4, 2], [1, 4], [3, 4]
|
| T Values |
0.167, 0.355, 0.5, 0.846, 1.11
|
| 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 7x7 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 1
— website sponsored —
[ ad space ]