STUDY 05 / PLACES THAT FIT
Room to grow.
A square gives each place an address. Rulers shape its lots.
Shared gates bring the neighbours together.
Buildings belong to a patch. Paths stay reserved. Optional houses, gardens and groves keep their slots when the sieve changes.
This is a flat planning study. Heights, stairs and connected 3-D interiors come next.
THE PLACE AND ITS ARITHMETIC
The reserved wayhouse
21 PERMANENT SLOTS / SELECTED PATCH
The same world, as rows.
The square index of a lot is 4 × patch index + slot. Paths and entries survive every optional sieve. Exact large integers are exported as text; keep those columns as text in spreadsheets.
| Feature | Kind | Index | Root | Remainder | v₂(index + 1) | mod 3 | mod 5 | Sieve | Width × depth | Kept |
|---|
Horizontal path connectivity and footprint separation are checked independently. Gate height targets come from Atlas; this map does not yet certify slopes, headroom or a playable multi-patch world.