A single parametric formula, turned into a living spiral. Drag the
sliders to freeze time, reshape the petals, and watch each part of the
equation change the drawing in real time.
HAPPY BIRTHDAY AMINA
Maths doesn't have to be boring :)
Drag to freeze the spiral at any moment — this is the "t" in the
formula, it drives everything.
How quickly "t" ticks forward on its own.
🎯 X — sideways position
x = n1.5 / (n + 1000)
This number is the "+1000" above. Drag it and watch X (sideways
position) — a bigger number holds the spiral in tight, a smaller
number lets it balloon outward.
🌸 Y — up/down wave
y = sin( 0.100 · n · sin(83.33
· t) )
This is the first 0.1 above. It controls how hard Y wobbles up
and down as n increases.
This is the 83.33 above. It changes how many times Y swings back
and forth over time — that's what makes the petals.
🔄 Z — outward twist
z = 0.100 · n · t
This is the 0.1 above, multiplying n and t directly. Drag it and
watch Z spin the whole pattern faster or slower as time passes.
⚙️ Extra settings
How many points get drawn (n goes from 0 up to this). More =
denser pattern, doesn't change the shape's formula.
Just for looks — doesn't affect x, y, or z at all.