Wooden tilt labyrinths are among the oldest mechanical dexterity toys: a ball rolls freely across a walled board while the player (here, a scripted "invisible hand") tilts the whole surface on two axes to steer it. Commercial versions such as the BRIO Labyrinth (patented in the early 1900s in Sweden) and the modern 3D "Perplexus" descend from the same principle: gravity pulls the ball downhill along the tilted plane, while wall geometry and friction shape the achievable paths. Small changes in tilt angle produce large changes in rolling acceleration, which is what makes the toy hard to master by hand and satisfying to watch when automated. Momentum carried into corners easily causes overshoot into pits, exactly as simulated by the wall-collision and hole logic below.

• Ball motion follows a = g·sin(θ) along the tilt axis, so acceleration scales directly with tilt angle.
• Classic wooden labyrinths use steel marbles roughly 12-16mm in diameter.
• Typical maze wall height is 10-15mm, just enough to stop the marble from hopping over on impact.
• Rolling resistance (friction) constantly bleeds off velocity, damping the ball toward a stop.
• The BRIO Labyrinth dates to 1946 in its modern form, building on earlier tilt-maze patents from the 1900s-1920s.
• Perplexus (2005) reimagined the concept in 3D, wrapping the maze around a sphere.
• Overshoot at corners is the main failure mode: too much momentum carries the ball past a turn into a hazard hole.
• Real labyrinth games are tilted by two perpendicular knobs, each controlling rotation about one horizontal axis.