Spin Art: The Math of Rotation, Color & Centrifugal Force
Spin. Splatter. Symmetry.
Spin. Splatter. Symmetry.
Click anywhere on the spinning disc to drop paint. The rotation spreads it into arcs and rings. Adjust the speed to see how centrifugal force changes the pattern.
A rotating disc has rotational symmetry: it looks the same after turning by a certain angle. Choose the symmetry order below and watch how drops create patterns with that exact number of copies.
Snowflakes have 6-fold rotational symmetry because water molecules form hexagonal crystals. The same math that makes spin art patterns makes snowflakes symmetrical.
Objects on a spinning surface experience an outward push. It is not a real force (it is inertia in a rotating frame), but the effect is real: faster spin pushes harder outward. Watch particles fly off the edge at different speeds.
Low linear velocity. Paint stays close, makes tight circles. The centrifugal effect is weak because v = omega * r and r is small.
High linear velocity. Paint flings outward fast. The same angular speed produces much more force at a larger radius.
Double the speed, quadruple the outward force (F = m * omega^2 * r). That is why fast spin art produces thin, wild streaks.
The physics of spin art shows up everywhere, from washing machines to galaxies.
Spin blood samples at high speed to separate heavy red cells from lighter plasma. The same principle that flings paint outward separates molecules by weight.
A spinning wheel creates rotational symmetry in clay. The potter shapes one side and rotation copies it around the entire piece.
A hard drive platter spins at 7200 RPM while a head reads data. The outer edge of the disc passes the head at over 100 km/h.
Damien Hirst's spin paintings, made by pouring paint onto spinning canvases, have sold for over $1 million each. He has said anyone could make them. The physics agrees.
You've seen how rotation creates symmetry, how speed flings paint outward, and how simple physics turns random drops into beautiful patterns. Math and art are the same thing spinning at different speeds.
Drop paint on a spinning disc and it spreads in perfect circles. The rotation averages out randomness into symmetrical patterns.
Faster spin pushes paint toward the edges. This is centrifugal effect: objects on a rotating surface want to travel in a straight line, which looks like flying outward.
Every point on the disc rotates at the same angular speed (degrees per second). But points at the edge travel faster in actual distance because they have a bigger circle to cover.
When spinning paint layers overlap, they blend. Additive mixing (light) and subtractive mixing (pigment) follow different rules, creating different results.
Put your new knowledge into practice!