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Giants Causeway Generator
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| // Number of rows in the tessellation | |
| rows = 20; | |
| // Number of columns in the tessellation | |
| cols = 100; | |
| // Width of each hexagonal pillar (circumradius) | |
| hex_size = 4; | |
| // Minimum height of each pillar | |
| height_min = 2; | |
| // Maximum height of each pillar | |
| height_max = 20; | |
| // Desired number of sine wave periods across the grid width | |
| num_periods = 1.5; | |
| // Randomness to add to the height of the pillars | |
| jitter_factor = 5; | |
| // This determines where along the wave the heights start | |
| angle_tweak = -45; | |
| // Dynamically calculated amplitude | |
| wave_amplitude = (height_max - height_min); // Full range of heights | |
| // Function to calculate pillar height based on a sine wave (horizontal wave) | |
| function sine_height(col) = // | |
| let( // | |
| angle = col * PI * num_periods, // Map column to sine wave angle | |
| sine_value = sin(angle + angle_tweak), // Sine value (-1 to 1) | |
| scaled_sine = (sine_value * wave_amplitude) // Scale sine to desired amplitude | |
| ) // | |
| height_min | |
| + wave_amplitude + scaled_sine; // Offset to ensure range is height_min to height_max | |
| // Function to calculate row-based height factor (linear ramp from max to min) | |
| function row_factor(row) = 1 - row / (rows - 1); | |
| // Module for creating a hexagonal pillar | |
| module hexagon_pillar(width = 5, height = 3) | |
| { | |
| linear_extrude(height) | |
| { | |
| polygon(points = [[width * cos(0), width * sin(0)], // | |
| [width * cos(60), width * sin(60)], // | |
| [width * cos(120), width * sin(120)], // | |
| [width * cos(180), width * sin(180)], // | |
| [width * cos(240), width * sin(240)], // | |
| [width * cos(300), width * sin(300)]]); | |
| } | |
| } | |
| // Generate the tessellation | |
| for (row = [0:rows - 1]) | |
| { | |
| for (col = [0:cols - 1]) | |
| { | |
| // Calculate the x and y offsets for the hexagonal grid | |
| x_offset = col * 1.5 * hex_size; // Horizontal distance | |
| y_offset = row * sqrt(3) * hex_size + (col % 2) * (sqrt(3) * hex_size / 2); // Staggered rows | |
| // Calculate the combined height based on sine function and row factor | |
| height = sine_height(col) * row_factor(rows - row); | |
| // Add jitter for randomness | |
| jitter = rands(1, jitter_factor, 1)[0]; | |
| translate([ x_offset, y_offset, 0 ]) | |
| { | |
| hexagon_pillar(width = hex_size, height = (height_min + height + jitter)); | |
| } | |
| } | |
| } |
Author
kevinkhill
commented
Nov 1, 2025
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