## Problem 123 — rank:232

**Title:** Developmental symmetry breaking

**Added binding assumptions (LaTeX):**

```latex
Define a polarity statistic and a separate spatial pole-count criterion: a nonzero global vector does not guarantee a single pole. The angle with a cue is defined only for nonzero cue magnitude. At zero cue, formulate rotational invariance of the orientation law conditional on polarization, with an explicit no-polarization event. Symmetry of that law under a symmetric model is distinct from predicting the observed polarization probability and timescale.
```

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