SpatialLoom

Pattern Learning

Four translated copies make one larger pattern

Start with a two-row, three-column tile. Its first row is A, B, A and its second row is B, A, B. These letters represent two colour roles. Repeat the tile by translation only: place two copies across and two copies down, without reflection or rotation. The resulting grid has four rows and six columns. Rows run downward and columns run rightward from the top-left cell. This is a fictional visual-pattern exercise, not a fabric construction specification.

The translated four-copy grid in the SpatialLoom repeat-tile worksheetTwo copies across · two copies downABAABABABBABABAABABABBABRows 1 and 3 match · rows 2 and 4 match

01

Write the larger grid before removing the labels

The first output row is A, B, A, A, B, A. The second is B, A, B, B, A, B. Rows three and four repeat rows one and two respectively. A source cell therefore appears once in each of the four tile copies. For example, the source tile’s top-left A appears at output positions (1,1), (1,4), (3,1) and (3,4), using row-first coordinates starting at one. Keeping these positions visible helps detect an accidental flip or shift. The complete grid is a more reliable reference than an unlabeled impression of how the pattern ought to continue.

Equal-letter seams at tile boundaries in the SpatialLoom repeat-tile worksheetInspect the boundary between tile copiesRow 1: A B A | A B ARow 2: B A B | B A BThe seam contains AA or BBTranslation does not produce a checkerboard

02

Inspect the seam instead of assuming alternation

The original tile alternates letters within each row, but it is three columns wide. When two copies meet, the last A of the first row touches the first A of the next copy. The second row similarly has B beside B at that boundary. The repeated image is therefore not a continuous checkerboard. This is the correct result of the specified translation rule. If continuous horizontal alternation were the design goal, the tile or placement rule would need to change. Preserve that as a separate version rather than silently correcting the supplied pattern.

Count and position checks in the SpatialLoom repeat-tile worksheetOne tile: 3 A + 3 B = 6 cellsFour copies: 12 A + 12 B = 24 cellsOutput dimensions: 4 rows × 6 columnsCounts do not prove correct positionsSave the labelled grid with the placement rule

03

Check counts and preserve the repeat specification

Each source tile contains three A cells and three B cells. Four copies contain twelve of each, for twenty-four cells total. These totals are useful checks, but they cannot prove that every cell is in the right position: a scrambled grid can have the same counts. Save the source rows, copy counts, placement operation, output dimensions and labeled output together. Add a note identifying the equal-letter seams. This gives a reviewer both a numerical check and a positional reference, while leaving palette, scale and any later production decisions as explicit additional choices.

spatialloom.com

Explore SpatialLoom

Held for potential development. Acquisition inquiries may be considered.

Acquisition ↗