Modular PCB Logic Tiles: A Physical MUX and Wire Alphabet

The physical MUX tile set turns a Boolean fabric alphabet into parts that can be assembled by hand: MUX tiles, wire tiles, constant tiles, and intersection tiles connected edge to edge.

The useful result is not that a PCB exists. The result is a readable set of circuit symbols with connector orientation, physical rotation, and patch assembly all forced into the same object.

Physical artifact noteOriginally posted 2026-01-31; expanded into an article on the physical tile alphabet on 2026-07-09.

Included: the assembled tile roles, connector/orientation constraint, first patch behavior, and next logic test target.

Article focus: the physical MUX-tile vocabulary: parts, arrangement, visual reading, and the path from abstract logic toward assembled structure.

The Artifact

The first connectorized batch of purple MUX tiles made the fabric physical. These are small triangular PCB tiles intended to connect edge to edge into a circuit patch. Each tile is a symbol in the alphabet: MUX, wire, constant, or intersection.

The connectors matter because the tile is not just a drawing of a primitive. Once the connectors are soldered in the correct orientation, the part has a real side, a real rotation, and a real neighbor relation. A patch can be assembled, picked up, rotated, extended, and read as one object.

The Alphabet

MUX tile: the active primitive in the alphabet. A small number of MUX tiles should be enough to build the first sequential test circuit.
Wire tile: a route piece for carrying a connection across the patch without changing its logical role.
Constant tile: a physical source for fixed logic values inside the patch.
Intersection tile: a crossing or connection-management role so layout can stay readable instead of collapsing every route into a flat wire bundle.
Connector orientation: the assembled connector side makes tile orientation unambiguous. Rotation becomes a physical fact, not a caption.

Why This Matters

The physical set is the bridge between the Boolean fabric idea and a bench object. A schematic can say MUX, wire, constant, and intersection. The tile alphabet makes those roles into parts with edges, orientations, and assembly rules.

That changes the work. A circuit patch can be read directly from the arrangement of tiles. The layout is no longer only a CAD file or a mental model; it is a small piece of fabric with the roles and rotations exposed.

The next useful test is deliberately small: use a few MUX tiles to build a D-flip-flop behavior in the physical patch, not only in a schematic. That is the point where the alphabet stops being a parts set and becomes a circuit substrate.

Reading Path

Start with Cartilage Core and its public source repository for the current logical cell, router, fabric, hardware paper, and exact install. Read Boolean Algebra Is All That Is Required for the MUX-first computation argument. Read Cartilage Visual Language for the related render alphabet. The repository is logical RTL evidence; it does not establish a fabricated physical tile or physical timing closure.