HAT
a = 1 · b = √3
B.01 / Aperiodic assembly · 2025—2026
AMAS
Aperiodic Monotile Assembly System
One tile. An open-ended architecture.
PAPER ACCEPTED / FORTHCOMING
01 / GEOMETRY
A rule, before a form.
The Hat monotile provides the starting geometry. Its wider family reveals how small changes reshape an assembly.
SPECTRE
a = 1 · b = 1
TURTLE
a = √3 · b = 1
02 / CURVATURE
Keep the unit. Let space turn.
Joint tolerance accommodates curvature while keeping the same standard component.
03 / GROWTH
Grow at the open edge.
Choose an edge, match a unit, check the fit, then extend the boundary.
- 01
Select an open edge
Find the next active boundary.
- 02
Match a candidate
Check local edge geometry.
- 03
Check the placement
Transform the unit and reject collisions.
- 04
Extend the boundary
Update the inventory and open edges.
If no candidate fits, close that edge and continue elsewhere.
04 / ANALYSIS
Read what the joints allow.
Comparative finite-element studies examine lateral response and constrained dilation.
Both response panels use the source figure’s stress scale. These are comparative simulations; prototype assembly is not a physical load test.
05 / MAKING
From a printed shell to human scale.
A 1:10 printed prototype is followed by a 1:1 CNC-milled dry assembly.
06 / SPACE
A structure with room to continue.
Atmospheric studies explore light, landscape, and the spatial presence of the system.
AI-assisted concept visualizations. These two images are spatial studies, not records of a built installation.
Ren Yuxin + Zhang Chuyi · Advised by Gao Yan
Project Lead · First Author
PAPER ACCEPTED / FORTHCOMING