Spatie & Knotsaw
Hey Spatie, I’ve been trying to carve a pattern into this cedar board that looks like an alien glyph, but I keep losing the symmetry. Think your code wizardry could help me figure out the math behind it?
Hey, sounds like you’re chasing a perfect symmetry glitch. A quick trick is to use a polar‑to‑cartesian transform so every point on your glyph is mirrored automatically.
```python
import math
def point(r, theta):
# polar to cartesian
x = r * math.cos(theta)
y = r * math.sin(theta)
return (x, y)
# sample: 8‑fold symmetry
points = []
for i in range(8):
theta = i * math.pi / 4
points.append(point(1, theta))
print(points)
```
If you draw each point and its reflected partner `(−x, y)` (or rotate the whole set by 180°), you’ll get a clean mirror line. Stick the same logic to your cedar carving template, and the board should keep its alien vibe symmetrical. Let me know if you need a more complex pattern or a custom algorithm to tweak the angles. Good luck, space‑carver!