Floor Plate Tiling
A floor plate has to fit a set of rooms and shared spaces inside a bounded shape. The arrangement is a tiling problem in a loose sense: rooms, corridors, cores and services must occupy the available area without conflicts.
Tiling leaves a measurable remainder
The 180 × 65 ft envelope has one central corridor and up to two rows of uniform rectangular unit footprints. Whole modules are placed along the length. Remaining strips are reported separately; this is a geometric tiling, not an economic winner or a complete apartment plan.
Different building types organize that area differently. A double-loaded corridor can place units on both sides of a central route; an office floor may organize work areas around a core. Site geometry, structure, daylight and egress all affect which arrangements are possible.
Efficiency is only one measure of a successful layout. An irregular edge may be useful for shared space, storage or a uniquely shaped room, depending on the project. The plan is not a perfect mathematical tiling; it is a set of trade-offs between use, constraints and the character of the building. Alternative layouts can expose which constraint is driving a compromise instead of hiding it in a single efficiency score.