A Bluetooth diode-free 36-key ergonomic keyboard PCB by Peter Cock: Gamma Omega Hesse – using graph theory.
KBD.news Published November 26, 2025
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Peter Cock designed a Bluetooth and diode-free replacement PCB for the Gamma Omega. The Gamma Omega Hesse is using graph theory, resulting in 4KRO.
This iteration of the Gamma Omega family of 36-key keyboards is the first wireless one which supports Bluetooth, specifically BLE using ZMK firmware. This meant a change in the controller […] this design uses a Nice!Nano v2 […] 21 GPIO pins. The compromise means using a bipartite girth 6 graph of 21 vertices and 36 edges, giving only 4-key roll over. This is the Hesse Configuration Incidence Graph, also known as the incidence graph of the affine plane of order 3 – Peter.
Read Peter's blog post about the design process, including choosing a controller and picking a graph.
