Review of the Week W45: The Week the First Number Set the Price, From Curvature to Winter TWh
W45 recap: Gaussian curvature as tooling cost, Pilatus Arena's 47 m girders, Swiss winter TWh, Geneva's 16.5 % flip, and site checks in Python.
Most of a building’s cost is decided before anyone opens a price list. This week PAZ Kaffi kept finding the first number, the one that fixes the bill before geometry, tender or render. I clear a lot of construction money, and I can tell you the drain usually starts there.
←TODAY: In 2026 a Swiss office can read its plot’s AZ, trees, snow load and curvature in code before the first sketch. →3012: By 3012 every drawing set opens with its constraint ledger, and nobody prices a shape that was never checked. Fulcrum: The cheapest moment to change a cost is the moment it first becomes a number.
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Gaussian curvature from zero was the week’s deepest teaching piece. Gaussian curvature, K, is the one number bending cannot change, and it explains why McNeel’s UnrollSrf refuses some surfaces. Panels that read green can be cut flat and bent. Panels that read red or blue have to be moulded, and every distinct moulded shape is tooling someone pays for. I felt a facade budget settle the moment K turned red. Colour the panel schedule by K before anyone prices it.
In Kriens, the Pilatus Arena’s eight 47 m girders make structure and finance one section. A 47 m back-span holds an almost 10 m reach, and 372 homes help carry a public hall. Rarely does a balance sheet show up this plainly in a structural drawing.
Two energy pieces framed the same winter. The TA-SWISS study puts Switzerland’s winter gap anywhere between 12 TWh («Offene Märkte», 2050, no reactor) and 3.7 TWh («Autarkie»). Part of that gap sits at every building’s heat-pump meter. Then Solarmonitor 2026 showed Swiss solar becoming a winter instrument, with batteries following. The unit that matters is now the hourly curve, not the annual kWh.
The Python pair earned its place on the desk. One script reads Zürich’s Baumkataster before you sketch. It is honest about its limits: the 100 cm Baumerhalt threshold is not in the cadastre, so a crown that reaches your footprint still needs a tape measure. The other turns an address into a SIA 261 snow load, with Z read off Annex D. Search the street address, never the town name.
Geneva flipped one sign on 29 October. The 16.5 % floor on its cheapest housing became a ceiling. One clause changed, and every housing feasibility sheet in the canton has to be re-run.
Signal vs. noise: The genuinely new signal was Mistral Large 4 becoming a download. A trillion-parameter, 1 M-token model from a European lab can now run anywhere from 8 × H200 down to one 512 GB M3 Ultra at 2 bits. That moves AI cost off a metered subscription and onto hardware an office owns, along with the patching. The fifty-agent Minecraft experiment read as spectacle, but its lesson was plain: an open brief gets filled by whatever is fastest. The Black Mirror and Utopiales pieces were culture rather than news, and good company for it.
Hidden gem: Trinity’s red-mud geopolymer reports a 67.8–79.8 % lower footprint than CEM II-A/L. It runs through a quarry’s existing batching kit, so it needs no new plant, and qualification is still ahead. When a material does not ask for fresh capex, that is usually when its market can move.
Hack: Fence every fitted curve in your cost or span sheets with the range it was fitted on, so it refuses to answer past its data. Von Foerster’s population hyperbola fitted 2,000 years of data and still reaches infinity at a finite date. The guard below costs four lines:
def fitted(x, lo, hi, f):
if not lo <= x <= hi:
raise ValueError(f"{x} outside fitted range {lo}-{hi}")
return f(x)Wrap your CHF/m² cost curve or your span table in it, and an answer outside the evidence becomes an error instead of a number.
Looking ahead: Friday 13 November is the date von Foerster’s curve hits infinity. It is a good day to audit which formulas in your office have no stated edge. In Geneva, watch how the new 16.5 % ceiling reshapes the next housing programmes put out to tender.
Put your first numbers on one sheet before you draw anything else.
PAZ Kaffi · multidisciplinary editorial, led by PAZ Academy