AXIS//NOLL
Chair44: a cube missing one corner that fills space and never repeats
A seven-cube chair with three colours of marks fills space but never repeats. How Chair44's 8-page proof works, and why one part needs one mould.
One shape, no repeat — and the bill for building it
How the hat monotile quietly needs two moulds, why the chiral Spectre needs one, and the two debugging lessons behind PAZ's verified tiling sketch.
One Casting, No Joints: The Geometry Under the Giga Press
How single-piece megacasting eliminates joints: the topology, the clamping-force maths, and what part consolidation teaches an AEC studio.
BIM Interoperability: the building is the hand-off, not the model
Why two ISO 16739-compliant IFC exports can describe two different buildings — and how to police the seam with ifcopenshell, ISO 19650 and openBIM discipline.
Digital Twin: the model that never stops listening
From NASA's 2010 definition to bridge and BIM twins — what a digital twin really is, why it holds, and the one scalar your office must name before calling it one.
Nature-Inspired Algorithms: What the Water Cube's Foam Already Knew
How gradient-free metaheuristics — genetic algorithms, swarm, NSGA-II — grow structural form, why they work, and why the architect still hand-checks the code.
The Rigidity Dividend: Why Complex Geometry Can Classify Forms Your Mesh Cannot
Why complex geometry's rigidity — and a 17-year-old's 146-shape proof — teach parametric designers that constraints are what make a form classifiable and defensible.
NURBS in 30 Minutes: The Four Numbers Behind Every Curve You've Ever Lofted
Degree, control points, knots, weight — the mathematics under every Rhino curve, taught hands-on with the open-source rhino3dm library. Clone it and read the four numbers yourself.
Packing Circles: Why the Densest Cloud Is the Cheapest Structure
How circle and sphere packing — from π/√12 to Kepler and Descartes — turns a generative disc cloud into a defensible, reproducible structural spec.
The Segmented Shell: How You Fake a Curve and Keep the Physics
How segmented shells keep membrane efficiency while deleting the mould — from Candela to BUGA's 376 timber segments to ETH's demountable concrete floors.
