Description
Choose an independent fair diagonal orientation for each explicit grid cell, returning literal slash/backslash text and no mesh triangulation guarantee.
A random construction is defined by its sampling support: positions, permutations, complete tilings, proposal sequences or another explicit set. Uniform choices at one stage do not necessarily make final visible outcomes uniform. A replay seed gives a deterministic sequence; equal values can hide different sampled positions. These tools are for reproducible synthetic examples rather than cryptographic entropy.
Choose an independent fair diagonal orientation for each explicit grid cell, returning literal slash/backslash text and no mesh triangulation guarantee.
When to use this tool
Use this tool to choose an independent fair diagonal orientation for each explicit grid cell, returning literal slash/backslash text and no mesh triangulation guarantee.
How to use the tool and how it works
- Enter rows, columns, seed using the definitions below.
- Run the operation. Resolve input-format errors before interpreting an output.
- Read result.seed, result.diagonals, using the stated boundary, ordering, sign and absence conventions.
For each grid cell independently choose slash or backslash using one binary draw, iterating row by row.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| rows | Positive integer grid row count; bitmap generators allow 1–11, toroidal origin allows 1–128. | Finite safe integer satisfying the stated bounds. |
| columns | Positive integer grid column count under the same bounds; quarter-turn symmetry requires a square. | Finite safe integer satisfying the stated bounds. |
| seed | Nonblank replay seed, at most 256 UTF-16 code units; an injected source overrides seeded draws. | Text, at most 8,192 UTF-16 code units; narrower grammar/range rules also apply. |
| Output field | Interpretation |
|---|---|
| result | Object containing the fields below. |
| result.seed | Original supplied seed string; injected-source replay additionally requires that source’s state. |
| result.diagonals | Row-major slash/backslash cell labels. |
{
"input": {
"rows": 2,
"columns": 2,
"seed": "batch56"
},
"output": {
"result": {
"seed": "batch56",
"diagonals": [
[
"/",
"/"
],
[
"/",
"/"
]
]
}
}
}Limitations and assumptions
- Dimensions are integers 1–11. This produces diagonal labels rather than a connected mesh, topology or raster rendering.
- A nonblank seed of at most 256 UTF-16 code units is required. With ordinary use the seed initializes one deterministic advancing source; an application-injected random source takes precedence and the seed alone then cannot replay the result. Uniformity statements assume independent uniform source draws in [0,1). Source calls are bounded and degenerate injected sources can fail a rejection budget. This is not cryptographically secure.
- Every declared outer field is required and unknown outer fields are rejected. Strings and JSON text have size limits, lists are bounded to 128 entries, and JSON nesting/node counts are bounded. Tighter operation-specific bounds stated above take precedence.
- Ordinary numeric outputs must be finite and within safe-integer magnitude. Exact large lengths/counts use decimal strings. Original record indexes and code-unit positions are zero-based; span ends are exclusive unless stated otherwise.
Alternative or Complementary methods
Choose a generator whose support matches the intended experiment and retain source-position provenance. Use a separate statistically justified process model or cryptographic source where those properties matter.
References
Similar or alternative tools
- Random Monotone Grid Route
Sample uniformly over monotone route move sequences by choosing down-step positions; no obstacle pathfinding, speed or geometric shortest-path guarantee beyond grid moves.
- Random Toroidal Grid Origin
Choose a uniform toroidal origin cell from explicit positive grid dimensions; no payload resampling or coordinate wrap transformation is performed.