K4
A buildable tetrahedral electromagnetic control instrument: six 100 mm wire edges and four air-core vertex coils, driven as a live magnetic field engine by an inverse solver, held to graded claims, and small enough to hold in your hand.
Not a new force - an engineering stack over established electromagnetics.
K4 is a graph geometry, an inverse solver, and a physical build, wrapped in the habit of labeling exactly what is proven, simulated, heuristic, or still pending. The magnetic engine is live in your browser; the electric side stays an explicit preview until its export is verified.
The physical instrument
V1 is deliberately simple: six 100 mm edges of AWG22 magnet wire forming a regular tetrahedron, plus four air-core vertex coils. Straight copper and printed formers - no magnets and no exotic materials in the baseline.

The V1 edge in cross-section (AWG22 bundle). Assembled-device photo drops in here.
How the control works
One short chain, assumptions attached. The point is not exotic physics; it is separating a requested field into currents a real build can carry.
Six edges become two current families: cycle and cut.
Cycle reaches centroid B; cut stays silent there by symmetry.
The inverse solver turns a requested field into physical edge and coil currents.
Every bench number carries its regime, claim class, and hardware limit.
Ask the instrument for a field.
The Explorer is the verified browser path: pick a target B, solve for real edge and coil currents, and read the hardware cost. The Log is the dated build stream, assumptions still attached.
日本GO - Japanese learning games
A separate project sharing the same site: kana rain, sentence building, and more. Independent of the K4 instrument, with its own build and content.
Play the Japanese learning game suite on k4forge.