Amogh N P
✦ In loving memory of Amogh N P — Architect · Designer · Visionary ✦
B.Arch Curriculum · Semester 1 · 25ART102

Mathematics in Architecture

The mathematics an architect actually uses — the coordinate grid behind every drawing, the statistics behind good decisions, the areas and volumes behind every estimate, and the geometry behind beautiful form, ending with the five perfect solids and the maths of computational design. With live calculators throughout.

5Units
4Calculators
2Credits
FreeForever
Start with Coordinate Geometry All student courses

The syllabus

Five units — and a live calculator in almost every one.

Transcribed from the official B.Arch syllabus, with every formula verified. All five units are live as full interactive lessons.

I

Unit 1 — Coordinate Geometry

Live

The cartesian plane; distance, midpoint and slope; coordinates in CAD, surveying and setting-out; 3D coordinates.

II

Unit 2 — Basic Statistics

Live

Describing data; mean, median, mode; range, variance, standard deviation; the normal curve; statistics in architecture.

III

Unit 3 — Area & Volume Calculations

Live

Areas of shapes and irregular plots; carpet/built-up area and FAR; volumes and surface areas; quantity take-off.

IV

Unit 4 — Geometry in Architecture

Live

The golden ratio and Fibonacci; symmetry and tessellation; conics and the catenary; geometry to computation.

V

Unit 5 — Platonic Solids & Computation

Live

The five Platonic solids; Euler's formula; polyhedra in architecture; coding and computational geometry.

Course outcomes

What you should be able to do after completing all five units.

1
Apply

Apply coordinate geometry to architectural drawing, surveying and setting-out.

2
Apply

Use basic statistics to summarise and interpret architectural and planning data.

3
Apply

Calculate areas and volumes for design, area statements, estimation and quantity take-off.

4
Analyse

Analyse the geometry that underlies architectural form and pattern.

5
Understand

Understand polyhedral geometry, the Platonic solids, and the maths of computational design.

Topics follow the published B.Arch syllabus (25ART102; L2 · T0 · S0; 100 marks). Every formula has been checked for correctness and every diagram is original, and popular myths — like the Parthenon “golden ratio” claim — are flagged rather than repeated.

Start with the grid.

Coordinate geometry — the simple idea behind every plan, CAD model and building set out on site.

Open Unit I Back to Students

Studio Matrx is a tribute to Amogh N P. The curriculum is free, forever.