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Advanced Algorithmic Sprinkle Recipes

Golden Rectangle Sprinkle Pattern

For the discerning algorithmic sprinkle aficionado, we present the Golden Rectangle Sprinkle Pattern. This intricate design involves arranging 17 sprinkles in a 4x4 grid, with the following constraints:

Sprinkles are randomly colored.
Sprinkles are arranged in a golden rectangle pattern.
The rectangle's aspect ratio is 3:4.
No sprinkle may overlap with its adjacent neighbors.

To generate this pattern, you will need to:

Initialize a 4x4 grid with randomly colored sprinkles.
Iterate over the grid, filling in the first row and column with the corresponding golden rectangle pattern (1, 2, 4, 8, ...).
In the remaining cells, randomly select a sprinkle and place it in the first available position.
Repeat until all cells are filled.

Example implementation:

      
        // Golden Rectangle Sprinkle Pattern
        // Author: Algorithmic Sprinkle Master
        // Version 1.0
        // License: Public Domain

        function generateGoldenRectangleSprinkle() {
          const grid = new Array(4).fill(0).map(() => new Array(4).fill(0));
          const colors = ["#ff0000", "#00ff00", "#0000ff"];
          const goldenRectangle = [1, 2, 4, 8];

          // Fill in the golden rectangle pattern
          for (let i = 0; i <= 3; i++) {
            for (let j = 0; j <= 3; j++) {
              grid[i][j] = goldenRectangle[j];
            }
          }

          // Fill in the remaining cells with random sprinkles
          for (let i = 0; i <= 3; i++) {
            for (let j = 0; j <= 3; j++) {
              if (i > 0 || j > 0) {
                const randomIndex = Math.floor(Math.random() * 3);
                grid[i][j] = colors[randomIndex];
              }
            }
          }

          return grid;
        }

Visit our Advanced Golden Rectangle Sprinkle Pattern Algorithms page for more information on optimizing this algorithm.