Studio Matrx Monthly · Volume 1 · Issue 4 · September 2026
Amogh N P
 In loving memory of Amogh N P — Architect · Designer · Visionary 
Design fundamentals tool

Proportion Studio

The systems architects design by. Choose a proportion — the golden ratio, a root rectangle, a simple ratio or the rule of thirds — to generate a family of harmonious dimensions, see the rectangle subdivided, and check whether a plan or opening already sits on a known ratio.

Proportion system

Golden ratio φ1 : 1.618 — the classic harmonic proportion. Ratio 1 : 1.618.

Dimension ladder
236
382
618
1000
1618
2618
4236
each step × 1.618 (mm)
Check any ratio
×= 1 : 1.615

Closest system: Golden ratio φ (spot on)

Golden ratio φ rectangle, subdivided into squares (root-rectangle tiling)

Proportioning systems give a room, a façade or an elevation an underlying order the eye reads as harmony. Set a base dimension to generate a family of related sizes, or check whether a plan or opening you already have sits close to a known ratio.

How it works

Pick a system

The golden ratio φ, the √2 / √3 / √5 root rectangles, simple whole-number ratios like 3:2 and 4:3, or the rule of thirds — each with the number and the idea behind it.

A ladder of dimensions

Set one base size and get a family of related sizes, each step multiplied by the ratio — the quiet arithmetic behind a well-proportioned set of rooms, openings or mouldings.

Check what you have

Enter two dimensions of a plan or an opening and see the nearest named proportion and how close it sits — a fast way to test and tune a composition.