Auxiliary Structure & Lookup

Primes about organizing data so that placement determines what operations become cheap: structure-preserving embeddings, auxiliary indexes mapping keys to locations, spatial and metric arrangements for neighborhood retrieval, preimage inversion, and access disciplines like the last-in-first-out stack.

7 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its structural–framed character and how distinctive (sparsely-neighbored) it is.

• Data Structure — — · crowded
• Embedding — — · crowded
• Index — — · distinctive
• Metric — — · mid
• Preimage — — · crowded
• Spatial Indexing — — · distinctive
• Stack — — · distinctive