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Vriksai Timber Intelligence

Golden Ratio Designer

Generate harmonious furniture dimensions using φ (phi). Width-to-height, diagonal, and Fibonacci series for cabinets, doors, frames and room layouts.

Why this calculation matters

Proportion decides how a piece reads before anyone examines the joinery. It is also the cheapest thing to change — at the sketch stage rather than after cutting.

φ = 1.618…Fibonacci SeriesCabinet DoorsRoom ProportionsPDF Report
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Golden Ratio — Designer

Generate harmonious furniture dimensions using φ (phi). Width-to-height, diagonal, and Fibonacci series for cabinets, doors, frames and room layouts.

Configuration
mm
steps
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Golden Ratio Results
Proportion Visualization
Formula Trace
✦ Golden Ratio Designer
φ = 1.6180339887… is the divine proportion found throughout nature, art, and architecture. Furniture and panels with dimensions based on φ feel inherently balanced. Used in Vastu Shastra, Bauhaus, Le Corbusier's Modulor, and traditional Indian joinery.
Where Used?
Cabinet DoorsTable SurfacesPicture FramesRoom LayoutsBookshelf SpacingArchitectural Columns
Formulas
φ = (1 + √5) / 2 = 1.6180339887…Given width a → height b = a × φGiven height b → width a = b / φDiagonal d = a × √(1 + φ²) = a × 1.9021…
About the Golden Ratio Designer
The golden ratio (about 1:1.618) is a proportion that has felt naturally balanced to the eye for centuries, turning up everywhere from classical architecture to furniture design. It's a useful starting point when you're sizing a cabinet face, a drawer front, a frame or a tabletop and want proportions that simply look 'right'. This tool gives you golden-ratio dimensions to work from — a design aid to get you into the right ballpark, which you then adjust to suit the real constraints of the piece. Use it as a golden rectangle calculator for casework — it proposes golden ratio furniture dimensions from any starting measurement.
Where Is This Used?
Furniture DesignCabinet ProportionsFrame MakingProduct DesignInterior Joinery
Sources & verification
  • φ = (1+√5)/2; diagonal = W·√(1+φ²)
Formula checked against the sources above by an automated regression test (tests/verify-phase2.js) that derives each expected value independently of this page. Last reviewed .
FAQ
Is golden ratio used in Indian design?
Yes — Vastu Shastra and temple architecture use proportional grids very close to φ. Traditional Rajasthani and South Indian furniture makers have used these proportions for centuries, though not always by that name.
How do Fibonacci numbers relate?
Consecutive Fibonacci numbers (1,1,2,3,5,8,13,21…) converge to φ. Craftsmen use Fibonacci dimensions (8mm, 13mm, 21mm gaps) for natural harmony without explicit calculation.
Do I have to follow the golden ratio exactly, or is it just a starting point?
Treat it as a starting point, not a rule. The golden ratio (1:1.618) gives proportions that tend to feel balanced to the eye, which is why it's a handy first guess for things like drawer fronts, frames or cabinet faces. But real projects have to answer to real constraints — standard board widths, the size of what goes inside, the space on the wall. Use the ratio to get into the right ballpark, then nudge the numbers to suit the job. A piece that's slightly off the ratio but fits its purpose always beats a mathematically perfect one that doesn't.
ResourcesView the formulasFormula Library
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Wood species data
Density, hardness and movement for 60 timbers
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How the calculation works
One dimension is set and the other follows from the ratio. It is a proportional starting point, not a rule — sightlines, available board widths and what the piece has to hold override it every time.
Show the formula
With phi = 1.618034: height = width x phi, or width = height / phi, or from a diagonal d the width = d / sqrt(1 + phi^2) with height = width x phi.
A proportion system, not a structural or ergonomic one. Much surviving furniture uses simple 2:3 and 3:4 ratios rather than phi.
References
No external standard governs this calculation — it is arithmetic from your inputs. Take product-dependent figures from the manufacturer data sheet, not from here.
Limitations of this calculation
Generates proportional relationships only. It does not account for available board widths, structural requirements, ergonomics, sightlines, or the constraints of the space the piece occupies.
Do not use this for Structural sizing, ergonomic compliance, or accessibility requirements.
Figures are engineering estimates from the inputs and assumptions shown. Verify against the actual material and, where the result affects structure or safety, against a qualified professional.
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How to use this tool
  1. Enter your stock sizes below, then press Calculate.
  2. Pick your mode from the dropdown.
  3. Fill in known dimension, series steps. 
  4. Press Calculate. 
Worked example
Say your known dimension is 600 mm (a tabletop width). Dividing by the golden ratio (1.618) gives 370.8 mm — a pleasing depth. Multiplying instead gives 970.8 mm — a pleasing length. The tool builds the whole series for you in one click.
Common mistakes to avoid