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art/Blot3/project.js

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+const width = 125;
+const height = 125;
+
+// Set document dimensions
+setDocDimensions(width, height);
+
+// Store final lines
+const finalLines = [];
+
+// Parameters for the design
+const tessellationDepth = 3; // Depth of recursion for tessellation
+const baseHexSize = 20; // Size of the initial hexagon
+const scaleFactor = 0.6; // Scale factor for recursive hexagons
+const rotationIncrement = 15; // Rotation increment for each recursive layer
+
+// Center of the canvas
+const centerX = width / 2;
+const centerY = height / 2;
+
+/**
+ * Function to draw a hexagon
+ * @param {number} x - X-coordinate of the center
+ * @param {number} y - Y-coordinate of the center
+ * @param {number} size - Size of the hexagon
+ * @param {number} depth - Current depth of recursion
+ * @param {number} rotation - Current rotation angle
+ */
+function drawHexagon(x, y, size, depth, rotation) {
+  if (depth === 0) return;
+
+  // Generate vertices of the hexagon
+  const hexagon = [];
+  for (let i = 0; i < 6; i++) {
+    const angle = (i * 2 * Math.PI) / 6 + (rotation * Math.PI) / 180;
+    const vertexX = x + size * Math.cos(angle);
+    const vertexY = y + size * Math.sin(angle);
+    hexagon.push([vertexX, vertexY]);
+  }
+  // Close the hexagon
+  hexagon.push(hexagon[0]);
+
+  // Add the hexagon to the final lines
+  finalLines.push(hexagon);
+
+  // Recursively draw smaller hexagons at each vertex
+  for (let i = 0; i < 6; i++) {
+    const nextX = hexagon[i][0];
+    const nextY = hexagon[i][1];
+    drawHexagon(nextX, nextY, size * scaleFactor, depth - 1, rotation + rotationIncrement);
+  }
+}
+
+// Draw the tessellation starting from the center
+drawHexagon(centerX, centerY, baseHexSize, tessellationDepth, 0);
+
+// Rotate the entire pattern for added effect
+bt.rotate(finalLines, 30, [centerX, centerY]);
+
+// Draw the tessellation
+drawLines(finalLines);