Braided textiles are built from a few simple patterning actions. By defining these actions clearly, more complex lace braid structures become easier to understand. Three of the most important operations are cross, link, and interlace. Each describes a different way filaments interact as a braid forms.
Cross
Cross (+) — One filament crosses another filament at a single point.
A cross is the simplest interaction between two filaments. One filament passes across another filament, creating a single intersection point. At this stage there is no defined over–under sequence. The cross simply marks where two filaments meet within the pattern.
Every braid structure begins with this basic crossing event.
Link
Link (2X) — One filament crosses the same filament two times consecutively.
A link occurs when one filament crosses the same opposing filament two times in sequence. This repeated interaction connects neighboring strands and creates a continuous chain-like relationship between them.
When links repeat across a braid, they form the repeating lattice seen in many lace braid structures.
Link & Interlace
Link and Interlace — Filaments alternate between passing over and under other filaments.
Linking and Interlacing occurs when filaments alternate between passing over and under one or more other filaments. This over–under relationship creates mechanical engagement between strands and stabilizes the structure.
Linking and Interlacing is what transforms simple crossings into a cohesive textile structure.
Building Pattern from Simple Actions
Although cross, link, and interlace are simple operations, repeating them in different sequences produces a wide variety of braided fabrics. Lace braids, expandable meshes, and other patterned textiles all emerge from combinations of these three actions.
By understanding these basic interactions, braid structures can be described and designed as intentional pattern systems.