Interactive Math Lab

Math Graphic Lab

Explore mathematics through interactive graphics.

Select a module to begin exploring.

Explore how radial lines create geometric patterns.

Explore how mathematical parameters shape spirals.

Explore how mathematical rules create different geometric patterns.

Cartesian coordinates · Non-negative radial lengths

Length: L = |Atⁿ + B|
Endpoint: x = L cos(t), y = L sin(t)
The absolute value keeps every line length non-negative.

Red lines: radial segments. Green dots: endpoints. Equal x/y scale preserves the true geometry.

Polar coordinates · Signed radius · Endpoint trajectory

Radius: r = Atⁿ + B
Cartesian conversion: x = r cos(t), y = r sin(t)
The radius may be negative. The angle t is measured in radians.

Blue curve: endpoint trajectory. Concentric circles indicate radial distance; rays indicate angle.