Earlier posts described how braids are formed from directional crossings and how wraps and links create lace structures. A more advanced structure emerges when two filament systems move laterally across each other in opposing directions and interlace repeatedly.
This type of structure is described in Bradford C. Jamison’s patent, Patterned Plexus of Filaments, which outlines how controlled crossing sequences can organize filaments into stable patterned networks.
USPTO Patent:
https://patents.google.com/patent/US20050098332
The patent describes textile structures as plexuses of filaments—systems in which multiple filament paths intersect and interlace according to repeatable pattern rules.
Opposed Lateral Filament Systems
X and Y filament systems move laterally across the structure in opposite directions and interlace repeatedly, forming a patterned plexus of filaments.
In this structure two filament systems travel across the textile in opposing directions.
- The X system moves diagonally in one direction.
- The Y system moves diagonally in the opposite direction.
Where these systems intersect they interlace through controlled crossings. As this interaction repeats, the filaments form interlocking helical paths through the fabric.
XHeliX Pattern Formation
The XHeliX structure forms when alternating crossing sequences interlace adjacent helical filament paths.
The XHeliX pattern is produced by alternating crossing sequences between the X and Y filament systems. In this example the pattern sequence combines: 2X+3 and 2X+1
These sequences describe how many filaments are crossed before forming a link. The alternating sequences connect adjacent helical columns and organize the filaments into a repeating lattice. The resulting structure combines braided continuity with lace-like openness, producing a flexible yet stable patterned network.
Patterned Plexus of Filaments
The Patterned Plexus of Filaments patent describes how filament crossings can be organized into programmable pattern systems.
Rather than viewing textiles only as woven or knitted materials, the patent frames them as interconnected filament pathways arranged through controlled crossing rules.
By adjusting:
- crossing counts
- link locations
- filament direction
- filament spacing
many different textile architectures can be generated.
XHeliX is one example of this broader concept: a structured plexus of filaments arranged through repeatable crossing rules.
Why This Matters
Understanding textiles as patterned plexuses of filaments expands braiding from a traditional craft into a method of structural pattern engineering.
These patterned filament systems can be designed to control:
- stretch and expansion
- load distribution
- openness and density
- structural flexibility
This framework provides the foundation for developing new classes of programmable braided textiles.