Ideation: Diverse Methods With Rotation

Diversity is a selection problem, not a volume problem.

Generating ten ideas from one mental frame yields ten variations of the same idea. The fix is to ideate from different categories of method, then rotate methods across passes so the next round does not repeat the last. This is the documented lever against LLM mode collapse, not a brainstorming ritual.

The one design rule

Structure the reasoning, not the output.

"The Price of Format" (arXiv 2505.18949) found that rigid output templates collapse output diversity, while reasoning scaffolds raise it. So each method hands you a reasoning prompt. Do not force the ideas into a fixed schema while generating; impose structure only when reporting the final set.