Golden Ratio Calculator
Find golden-ratio dimensions, check a proportion you already have, generate a golden scale, and overlay a Fibonacci spiral on any building photograph.
φ, and what it is for
The golden ratio, roughly 1:1.618 and written with the Greek letter Φ, is the oldest proportional system still in daily use. Architects from ancient Greece onward have used it to organise facades, structure interiors and proportion furniture. The Parthenon's width is often read as 1.618 times its height, and Le Corbusier's Modulor set furniture dimensions, ceiling heights, door widths and whole elevations, most completely at the Unité d'Habitation in Marseille in 1952.
Dimensions, and checking them
Give one dimension and it returns the other, 1.618 for the larger partner and 0.618 for the smaller. Give two and it tells you how close the proportion already sits to φ. Ask for a golden scale and it generates a run of dimensions, each one φ from the last, which is what you want when a facade needs bays, sills and openings that relate to each other instead of merely coexisting.
The spiral over the photograph
Load a photograph of a building, yours or anyone's, and lay a Fibonacci spiral over it. It is useful for testing an elevation study and for reading a building you admire. It is also worth saying plainly that a spiral scaled and rotated freely will fit almost anything, so treat the overlay as a way of looking rather than as proof of intent.
A starting armature, not a straitjacket
Proportion is the easiest thing to argue about and the hardest to point at. A φ dimension, a checked ratio, a golden scale to set bays out on, and a spiral laid over the photograph give the argument something to look at. Structure, services and the brief still win any fight with the ratio; it is a place to begin, not a rule to obey.
- 1.618 one way, 0.618 the other
- Check a proportion you already have
- A Fibonacci spiral over the building itself
Off the envelope, onto a number
Openings placed where they landed, then nudged until they looked right.
A φ dimension behind the setting-out, and a reason for each one.
A proportion judged by eye and defended by conviction.
Two dimensions checked against φ in a second.
A claim about the golden ratio with nothing to show for it.
The spiral laid over the photograph, on screen, in the review.
Built to carry the weight
The ratio itself
1.618 one way and 0.618 the other, from a single dimension, or a check on a proportion you have already drawn.
A golden scale
A run of dimensions, each one φ from the last, for bays, sills and openings that relate to each other rather than merely coexist.
Spiral over a photo
Lay a Fibonacci spiral over a photograph of any building, to test an elevation study or to read something you admire.
What it asks, what it returns
What it asks
- One dimension, or two to check
- The direction, larger or smaller
- A building photo, for the overlay
What it returns
- The φ partner, at 1.618 or 0.618
- A golden scale, each step φ from the last
- A Fibonacci spiral over your image
What it assumes
- φ ≈ 1.6180339887
- A starting armature, not a rule
- Structure and services still take precedence
Three moves, nothing to guess
Enter a dimension
One length to find its partner, or two if you want the proportion you already have checked against φ.
Take the partner or the scale
The larger partner at 1.618, the smaller at 0.618, or a whole golden scale to set the elevation out on.
Overlay the spiral
Load a photograph of the building and lay the Fibonacci spiral over it, then let the structure argue back where it must.
The ratio does not make a building beautiful. It stops the openings from being arbitrary, which is most of the work.
Questions, answered
Straight answers about golden ratio calculator, in plain language.
Ask us anythingNo. It is a proportional system with a long history, useful as a starting armature for a facade or a plan. Structure, services, the brief and the site all outrank it, and a building held to the ratio against its own logic looks exactly as forced as it is.
It shows how an elevation or a photograph sits against a Fibonacci curve, which is a useful way of looking at a study you are still developing. Treat it as a reading aid rather than proof: a spiral scaled and rotated freely will fit almost anything, which is the caveat most golden-ratio analysis leaves out.
The Parthenon's proportions are commonly read through it, with the width at about 1.618 times the height. In the modern era Le Corbusier's Modulor derived furniture dimensions, ceiling heights and door widths from it, and the Unité d'Habitation in Marseille, completed in 1952, sets apartment proportions, ceiling heights and corridor widths from the same system.