Counting-Geometry Ladder¶
Who This Is For¶
Use this ladder when you trust your geometry primitives but want to learn how to collapse geometric structure into counting structure.
Warm-Up¶
- normalize slopes or directions
- count complementary direction classes
Core¶
- sort-or-hash normalized geometry features
- avoid floating-point comparisons
Example Notes¶
Exit Criteria¶
You are ready to move on when you can:
- define a canonical direction or slope key
- choose sorting or hashing intentionally
- explain why the brute-force tuple count collapses after normalization
- avoid floating-point equality in exact-input problems