ASTERION | Interactive Planetary Drawing Engine

ASTERIONLoading precision meshes, original PBR maps and interactive planetary gearing…

Crank angle

0.0°

Planet spin

0.0°

Pen position

82.0, 0.0

Closure

0.0%

Precision mechanism · No. 001

Operate the machine

Turn a crank, roll a 36-tooth planet inside a fixed 96-tooth ring, and let an adjustable stylus draw a physically constrained hypotrochoid.

01 / Actuation

Manual crank 0° / 1080°

Rotation speed 12 RPM

One exact closed design needs 3 crank revolutions. Scrub the manual crank to inspect any intermediate state.

02 / Stylus and material

Pen eccentricity 22 mm

Pen eccentricity changes the shape through an actual sliding radial carriage, not by switching between stored animations.

03 / Inspection

Orbit the assembly with your mouse, scroll to zoom and right-drag to pan. Exploded mode suspends the crank and separates the gears.

04 / Mechanism laws

R = 96 mm · r = 36 mm
carrier radius = R − r = 60 mm
φ = −(60/36)θ = −5θ/3
x = 60 cos θ + d cos φ
y = 60 sin θ + d sin φ
closed at θ = 6π rad

Ideal pitch-point slip = 0 mm/rad. Gear teeth have educational trapezoidal profiles with mechanical clearance; they are not manufacturing-grade involutes.