The grammar of the grid
Every pattern that looks infinite is built from something small enough to hold in one hand. A single tile, a single knot, a single repeated decision. The wall is just the argument that decision makes when you let it run long enough without interrupting it.
I have been reading about girih for three weeks now and I still cannot draw one from memory. This does not feel like failure exactly. It feels like the correct relationship to have with a thing that took a guild four centuries to get comfortable with, and it keeps me honest about how little looking is actually understanding.
The ornament is not on the wall. The ornament is the discipline of the hand that repeated the same gesture ten thousand times without once being bored enough to make it careless.
a marginal note, source unknown
What the ground is doing
What holds a tessellation together is not the stars you notice first. It is the ground between them — the small irregular pieces you would call negative space in any other drawing, but which here carry exactly as much load. Nothing is background. Nothing is filler.1
- A repeating unit is not a shortcut; it is a decision to trust the pattern more than the moment.
- What looks infinite up close is usually just patient, up close, for a very long time.
- The seam is always there if you look for it. Most people don't.
How a border is actually laid out
- Strike the baseline first, edge to edge, and accept it as law.
- Set the corner unit before anything else — corners forgive nothing.
- Work inward from both ends so the error meets itself in the middle.
- Leave the last repeat unclosed if the wall wants to keep going.
Shorter notes
A line I copied down somewhere and cannot now source, so I offer it unclaimed: the miniature does not shrink the world, it insists that scale was never the point.
Some days the call to prayer reaches the courtyard five times and I notice none of them. Other days I notice all five and get nothing else done. I am not sure which is the more honest way to keep time.
Three words I keep circling
- hayal
- Dream, image, imagination — the thing seen when nothing is in front of you.
- sabır
- Patience, but the deliberate kind. A practice, not a temperament.
- nakış
- An engraving, an embroidery, an inlaid pattern. Ornament understood as labour rather than as surface.
A small census of repeats
| Surface | Base unit | Repeats |
|---|---|---|
| North wall | Eight-point star | 412 |
| Arch spandrel | Six-fold rosette | 96 |
| Fountain basin | Interlaced band | unclear |
| Ceiling | — | gave up |
Drawing one badly, with a computer
The whole construction reduces to rotating a single motif by
360 / n degrees and letting it overlap itself. Here it is in
as few lines as I could manage:
def rosette(n, r):
"""Return n points evenly spaced on a circle of radius r."""
from math import cos, sin, tau
return [(r * cos(tau * i / n),
r * sin(tau * i / n)) for i in range(n)]
for x, y in rosette(8, 60):
draw_line_to(x, y)Run it and the terminal answers 8 points, 1 closed path, which is both correct and a wild understatement. Press Ctrl + C when you realise you have been watching it redraw for an hour.
An aside on borders, if you want it
Illuminators worked the border before the text was copied out — an odd order, if the border exists for the text. But perhaps it doesn't. Perhaps it is only where the eye is allowed to wander when the words get too heavy to look at directly, which is most of the time, for most words worth writing.
Footnote 1: I have since been told the ground has a name in the workshop vocabulary and that everyone but me knows it.
A last, smaller heading
Used for the quiet turn near the end of a piece, where the argument stops arguing.
And the smallest one
Set in small caps, for labels within a long text — a correspondent's name, a place, a date of composition.
I don't know how to end a thought like this, so I won't. Some notes are meant to stay open, the way a border is sometimes left running off the edge of the page — not because the maker forgot to close it, but because closing it would misrepresent how the pattern behaves everywhere else, out of sight, where the wall keeps going.