Description
Return a regular branch-tree generation address.
Anatomical diagrams and idealized models require explicit coordinate origins, axes, dimensions and indexing conventions. Translations, vector projections and simple shape formulas describe supplied geometry rather than identifying actual anatomy or determining a medical finding. A scaled drawing or ideal branching tree needs separate anatomical verification.
Return a regular branch-tree generation address.
When to use this tool
Use Nerve Branch Tree Generation Index when checking the stated diagram, coordinate, vector or ideal-shape convention.
How to use the tool and how it works
- Enter branching, generation, withinGeneration. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read levelSize, levelStart, index. Use the output convention below.
Return a regular branch-tree generation address. Require whole branching 2..10, generation 0..12 and bounded zero-based withinGeneration; levelSize = branching^generation, levelStart = (size-1)/(branching-1), index adds local position.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| branching | Branching | Required. Safe integer; minimum 2; maximum 10. |
| generation | Generation | Required. Safe integer; minimum 0; maximum 12. |
| withinGeneration | Zero-based position in a complete regular branching tree, not an observed nerve count. | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| levelSize | Level Size | Required. Safe integer. |
| levelStart | Level Start | Required. Safe integer. |
| index | Index | Required. Safe integer. |
{
"input": {
"branching": 3,
"generation": 2,
"withinGeneration": 4
},
"output": {
"levelSize": 9,
"levelStart": 4,
"index": 8
}
}Limitations and assumptions
- This assumes a complete regular rooted tree, not actual nerve topology, anatomy or clinical function.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified anatomical measurements and an appropriate complete spatial model; consult qualified health professionals for actual medical interpretation.
References
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