Description
Generate supplied Truchet motif orientations with optional N/E/S/W label matching and outside constraints using bounded backtracking.
A repeat pattern builds a larger design from a smaller set of cells or motifs. The repeat boundary, orientation, and adjacency rules determine whether the returned structure joins as intended.
Generate supplied Truchet motif orientations with optional N/E/S/W label matching and outside constraints using bounded backtracking.
When to use this tool
Use this generator to create reproducible truchet tile mosaic cases from the supplied model or bank. Inspect the returned evidence before using cases in a test or exercise.
How to use the tool and how it works
- Supply rows, columns, motifs, matchEdges, outsideLabel in the field shapes below. Set seed when you need an explicit replay.
- Run the tool and correct any input error. For generated controls, distinguish a successful fixture containing an invalid case from failure to generate the fixture.
- Read grid, matchedNeighborPairs. Use the conventions below and keep answer-bearing fields separate when presenting an exercise.
Rotate supplied N/E/S/W edge labels by allowed quarter turns and search row-major motif variants. When requested, require matching neighbor edges and a caller outside label, then count actual matched neighbor pairs in the finished grid.1
Delegated operations used for this result: rotate 90. Their calculation or parsing conventions apply to the corresponding result fields.2
| Input field | Meaning and units | Accepted input |
|---|---|---|
| rows | Rows | Required. Safe integer; minimum 1; maximum 16. |
| columns | Columns | Required. Safe integer; minimum 1; maximum 16. |
| motifs | Motifs | Required. Array of Object; no unknown keys.; minimum items 1; maximum items 16. |
| motifs[].id | Literal identifier used to match records, independently of their display labels. | Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 64. |
| motifs[].edges | Edges | Required. Array of Text; minimum UTF-16 length 1; maximum UTF-16 length 64.; minimum items 4; maximum items 4. |
| motifs[].quarterTurns | Quarter Turns | Required. Array of Safe integer; minimum 0; maximum 3.; minimum items 1; maximum items 4. |
| matchEdges | Match Edges | Required. Boolean. |
| outsideLabel | Empty disables the outside constraint; otherwise every exposed edge must equal this label. Edges are N,E,S,W. | Required. Text; maximum UTF-16 length 64. |
| seed | Optional numeric seed; takes precedence over context randomness. Without either, use the fixed tool.io default seed. | Optional. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| grid | Grid | Required. Array of Array of Object; no unknown keys.; minimum items 1; maximum items 16.; minimum items 1; maximum items 16. |
| grid[][].motifId | Motif Id | Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 64. |
| grid[][].quarterTurns | Quarter Turns | Required. Safe integer; minimum 0; maximum 3. |
| grid[][].edges | Edges | Required. Array of Text; minimum UTF-16 length 1; maximum UTF-16 length 64.; minimum items 4; maximum items 4. |
| matchedNeighborPairs | Matched Neighbor Pairs | Required. Safe integer; minimum 0; maximum 480. |
| randomness | Replay metadata: source is seed or context; seed is the normalized 32-bit seed or null for a context source. | Required. Object; no unknown keys. |
| randomness.seed | Optional numeric replay seed; normalization and precedence are explained below. | Required. Safe integer. or Null. |
| randomness.source | Source | Required. Text; one of "context", "seed". |
An explicit safe-integer seed takes precedence over injected context randomness and is normalized to an unsigned 32-bit integer. With no seed and no context source, replay uses the fixed tool.io default seed. A context source must return finite values from zero inclusive to one exclusive; its advancing state must be retained separately. randomness records the source and normalized seed, or null for context. These generators are not cryptographic random sources.
{
"input": {
"rows": 1,
"columns": 2,
"motifs": [
{
"id": "arc",
"edges": [
"a",
"b",
"a",
"b"
],
"quarterTurns": [
0,
1
]
}
],
"matchEdges": true,
"outsideLabel": "",
"seed": 42
},
"output": {
"grid": [
[
{
"motifId": "arc",
"quarterTurns": 1,
"edges": [
"b",
"a",
"b",
"a"
]
},
{
"motifId": "arc",
"quarterTurns": 1,
"edges": [
"b",
"a",
"b",
"a"
]
}
]
],
"matchedNeighborPairs": 1,
"randomness": {
"seed": 42,
"source": "seed"
}
}
}Limitations and assumptions
- This is bounded backtracking over labels rather than geometric curve continuity or uniform sampling of mosaics. Infeasible constraints and exhausted work budgets can be rejected.
- A replay requires the same complete input and implementation. Randomized construction does not guarantee uniform coverage of every feasible output; finite samples can repeat unless a distinct-selection rule is explicitly stated.
- The field tables state structural bounds; cross-field constraints and bounded search or output budgets also apply. Unknown keys are rejected where the object contract disallows them. Input errors are distinct from null fields and deliberate invalid controls in a successful output.
Alternative or Complementary methods
For a supplied example, inspect the returned construction or delegated check directly. To evaluate a consumer, also test cases chosen for its own boundaries; a generated finite corpus does not establish exhaustive coverage.
References
Similar or alternative tools
- Random Mosaic Tile Cutlist Generator
Build a bounded rectangular-tile shelf cutlist using caller gaps, dimensions and piece types, retaining counts and uncovered area without optimality or cutting-tolerance claims.
- Random Wallpaper Motif Repeat Generator
Arrange supplied square motifs on an explicit lattice with legal transforms and optional exact matrix-border continuity across neighbors and repeat seams.