particleequation plots a parametric curve from math formulas. It evaluates x, y and z as the parameter t sweeps from tmin to tmax over points steps, spawning a particle at each point relative to the target.
particleeq, pe
Formula syntax
- Operators:
+ - * / % ^, unary-, parentheses. - Variables:
t(the sweep) andtime(the world clock in ticks, for animation). - Constants:
pi,tau(2π),e. - Functions:
sin cos tan asin acos atan sinh cosh tanh sqrt cbrt abs exp ln log log2 floor ceil round sign. - No scientific notation: write
1000, not1e3. A bad formula is logged and the line is skipped.
Animation
Thetime variable makes shapes move when the equation is redrawn. Run it inside a repeat with a short interval:
A rotating 3D cube
Three equations, one per set of parallel edges.t sweeps 0→4; floor(t) picks which of the four parallel edges (its two bits give the fixed ±1 corners), t-floor(t) slides along the edge, and the cos/sin(time*0.05) pair rotates everything around Y:
time*0.05. Density: raise points.
Crisp shapes
Vanilla particles live around 0.5–2 seconds, so a fast-spinning shape smears: old particles from previous angles stay visible. For clean shapes, slow the rotation (time*0.02) and prefer stationary particles (dust, electric_spark, crit) over drifting ones (end_rod floats upward).