Field 01 — Honeycomb
The regular hexagon: three edges meeting at every vertex, the densest way to hold the plane with the least perimeter.
t = 0.00Why bees do not draw circles
Wax is expensive. The hexagon is what a circle becomes when its neighbours all push back at once.
Geometry → Marginalia“A tiling is an argument that space can be shared without remainder.”
R. A. Vogt → 01 / BField notes from a Lisbon rooftop
Six weeks tracing azulejo joints by hand, and the discovery that no two courses on the same roof agree.
Travel → IndexPerimeter per unit area
Hex wins by 7% → 01 / CThe comb that taught a bridge
How a 1954 aluminium sandwich panel borrowed its stiffness from an apiary in Kent.
Structure → Reserved cell →Field 02 — Widening
The notches retreat. Each cell claims a little more of its neighbour's shoulder and the courses begin to straighten.
t = 0.25Grout is a material, not a gap
Cement, resin, lead — a short history of the substance that decides whether a pattern breathes or clenches.
Material → 02 / BPenrose, without the mysticism
Two rhombs, one matching rule, infinite non-repetition. The paperwork is duller and stranger than the legend.
Mathematics → IndexNotch depth, fields 1–6
Measured in % of width → 02 / CAn interview with a kiln
Marta Ibarrola fires 400 tiles a week and can hear the difference between a good batch and a warping one.
Practice → Marginalia“Straighten a hexagon slowly enough and nobody notices they are standing on a grid.”
Field log 02 →Field 03 — The Square Interval
The midpoint of the morph. For one course the plane is orthogonal, dull and useful, and the offset falls to zero.
t = 0.50In defence of the boring grid
Every radical tiling in this issue is legible only because the reader already carries a square in their head.
Essay → Hatch · void cell → 03 / BSubway tile and the myth of the honest surface
A 1904 hygiene standard became a hundred-year aesthetic. We went looking for the original spec sheet.
History → 03 / CTwelve floors, one module
A Rotterdam housing block where the same 1.2 m panel becomes wall, balcony, screen and stair in turn.
Architecture → IndexCourse offset per field
Zero at the interval →Field 04 — Drift
One edge begins to lead. The cell leans, and the whole course leans with it — still interlocking, no longer symmetrical.
t = 0.75“Asymmetry is the cheapest way to give a repeat a direction to travel in.”
Field log 04 → 04 / AHerringbone at forty degrees
Parquet layers have argued about the angle since the 1600s. We measured 90 floors to settle it.
Craft → 04 / BThe lizard that ate its own outline
Escher's notebooks show a shape being negotiated, edge by edge, over eleven increasingly furious drafts.
Archive → 04 / CPaving that drains
Interlocking concrete units with 8 mm shoulders can swallow 300 mm of rain an hour. The shape does the work.
Infrastructure → IndexLean, degrees off vertical
Accelerating →Field 05 — Arrowhead
The end state: every cell a chevron, every course pointing the same way. The page has acquired a current.
t = 1.00Direction as ornament
When a repeat points, it stops being wallpaper and starts being signage. Six examples that cross the line.
Theory → Closing“At the last course you finally see it: the whole page was one shape, thinking out loud.”
Editor's note → 05 / BReading the Kufic wall
In Isfahan, brickwork spells a name that only resolves from 60 metres and only in raking afternoon light.
Field study → 05 / CIssue 13: dissection
Next season we cut every tile in this issue into three pieces and reassemble them into a different plane.
Coming → End of field →The seam
Four issues a year, printed on paper thick enough to hold a glaze test.
Each issue ships with a loose sheet of six die-cut tiles you can lay out on a table. No digital edition, no tracking, no algorithmic feed of pattern content.