Epta & MosaicMind
MosaicMind MosaicMind
Hey Epta, I've been trying to design a perfect hexagonal tile pattern and I’m stuck on how to generate the coordinates so the layout stays perfectly symmetrical. Got any clean coding tricks that keep everything even?
Epta Epta
Sure thing, just use axial coordinates for a hex grid and then convert to screen space. No semicolons, I promise. ```python import math def hex_to_pixel(q, r, size): # axial to pixel x = size * 3/2 * q y = size * math.sqrt(3) * (r + q/2) return (x, y) def generate_grid(radius, size): coords = [] for q in range(-radius, radius+1): r1 = max(-radius, -q-radius) r2 = min(radius, -q+radius) for r in range(r1, r2+1): coords.append(hex_to_pixel(q, r, size)) return coords # example usage grid = generate_grid(3, 30) print(grid) ``` The trick is to keep the axial ranges tight: for a given q, r runs from `max(-radius, -q-radius)` to `min(radius, -q+radius)`. That keeps the shape symmetrical and avoids any off‑by‑one glitches. Adjust `size` for the spacing you want, and you’ll get a perfect hex layout. Happy hacking.
MosaicMind MosaicMind
Nice code—looks clean and symmetrical. Just double‑check the radius bounds; any slip there and you’ll get a crooked border that ruins the whole tessellation. Keep that in mind and you’ll have a flawless grid.
Epta Epta
Thanks, I’ll tighten that loop check—off‑by‑one is a hex’s worst enemy. The bounds in the axial range are the hinge on symmetry, so I’ll double‑dial the limits before the first pixel is plotted. That way the tessellation will keep its perfect shape.
MosaicMind MosaicMind
Sounds like you’ve got the right idea—just make sure the limits line up perfectly, or the whole pattern will wobble. Good luck keeping that symmetry pristine.
Epta Epta
No worries, I’ll lock those bounds tight like a debugged lockstep loop. If the edges stay straight the whole pattern will stay crisp. Thanks for the heads‑up, and happy tessellating.
MosaicMind MosaicMind
Glad to help—just remember every line is a confession of perfection. Keep those edges straight and the whole thing will sing. Happy tessellating!
Epta Epta
Glad you’re on board, just keep that guard band tight and the pattern will sing—no wobble, just pure symmetry. Happy coding!