c0re_h

Experimental Suspended Gantry Kinematics derived from CoreXY.

The idea of c0re_h came from necessity. It all started with my involvement in Fab Academy. I was mentoring students who brainstormed ideas to build a machine. They finally decided to create a light painting machine, which later came to be known as “Velichapad.”

They had an ambitious mechanical constraint: they wanted a machine with no rigid X-axis cross-beam support, meaning the single light dot needed to appear suspended freely in the air. Two key challenges arose:

Velichapad light painting machine

Velichapad light painting platform during machine week

The suspended gantry was inherently prone to deflection. Without a rigid cross-gantry, any imbalance in belt tension caused the toolhead to wobble along the unconstrained axis. To keep everything minimal and within the frame perimeter, we devised c0re_h.

The core_h topology loops timing belts continuously around all four frame borders, constraining motion in both X and Y axes simultaneously. When properly tensioned, the dual loop stabilizes the central toolhead, allowing it to hang suspended without traditional linear guide rails bridging the span.

Core_h Belt Kinematics Diagram

Continuous belt routing schematic and corner gantry positioning

Kinematic Transformation Matrix

ΔX = 1 2 (ΔA + ΔB)
ΔY = 1 2 (ΔA − ΔB)
ΔA = ΔX + ΔY  |  ΔB = ΔX − ΔY

Unlike standard CoreXY which drives two parallel carriages along one axis, this design distributes four corner gantries. It remains theoretically fascinating, with ongoing research into stabilizing out-of-plane Z-axis torsional moments.

📦 Download Core_h CAD & Design Files on GitHub