Studio Matrx Monthly · Volume 1 · Issue 3 · August 2026
Amogh N P
 In loving memory of Amogh N P — Architect · Designer · Visionary 
Sun Path & Solar GeometryLesson 1.3
BPS for Architecture, Planning & Urban Design/Module 1 · Climate & Weather Data

Lesson 1.3 · Climate & Weather Data

Sun Path & Solar Geometry

Altitude, azimuth and the sun-path diagram - the geometry behind orientation and shading

13 min Interactive lessonFree · open lessonByAmogh N P· Architect & interior designer
The hook

The sun is the most predictable thing in your whole simulation. Learn its geometry and orientation stops being a guess.

Why do the west rooms bake at 4pm while the south stays manageable? Why does one fixed overhang block the summer sun yet welcome the winter sun? The answer is not thermostats or luck - it is geometry, and it repeats to the minute every year.

Solar geometry locates the sun with two angles and traces its yearly swing between the solstices. Once you can read a sun-path diagram, you can place a building on its site, size its shades, and reason about sun and shadow before any tool runs a single hour.

Read the sun path for THIS latitude. Reject the high summer sun, admit the low winter sun.

Two angles locate the sun at any moment

For all its grandeur, the sun's position at any instant is pinned by just two angles. Altitude is how high it sits above the horizon, from 0 degrees at the horizon to 90 degrees straight overhead. Azimuth is its compass bearing - where along the horizon it sits, measured in degrees from north (so due east is 90, due south is 180, due west is 270). Give a simulation your latitude, the date and the clock time, and it computes altitude and azimuth exactly; every shadow, every patch of sun on a floor, every solar gain through a window follows from those two numbers.

This matters because building performance is, to a large degree, a conversation with the sun. Whether the west rooms bake at 4pm, whether a light-shelf bounces noon sun deep into a plan, whether a photovoltaic array faces the year's radiation well - all of it is geometry first. Learn to think in altitude and azimuth and you can reason about sun and shadow in your head, then let the tools confirm it. The sun is not random; it is one of the most predictable things in the entire simulation.

It is worth being precise about the reference frame, because it trips people up. Both angles are measured from where the building stands: altitude straight up from the flat horizon, azimuth around the compass. Sunrise is at a low altitude in the east, the sun climbs to its daily peak altitude at solar noon (due south in the northern hemisphere), then descends to a low altitude in the west at sunset. The azimuth therefore sweeps through the day from east through south to west. Note too that solar noon - the moment of peak altitude - rarely lines up with 12:00 on your watch, because clock time is set by time zones and daylight saving, not by the sun over your particular meridian. Simulations handle that offset for you, but knowing it exists stops you misreading a sun-path diagram by an hour.

STEREOGRAPHIC SUN PATH (~20N) N S E W Jun solstice (high, ~86) Equinox (~70) Dec solstice (low, ~46) rings = altitude; radials = azimuth
Zoom
A stereographic sun-path diagram for roughly 20 degrees N. The outer circle is the horizon, concentric rings mark altitude and radial lines mark azimuth; the three arcs show the sun's high June path, its mid equinox path and its low December path. Read any date and time straight off the chart.

Altitude = how high. Azimuth = which way. Two numbers pin the sun.

Solstices, equinoxes and the yearly swing

Because Earth's axis is tilted about 23.5 degrees, the sun's daily arc rides up and down across the year, and four dates anchor the swing. At the June solstice the noon sun is at its highest for the northern hemisphere; at the December solstice it is at its lowest; the two equinoxes (March and September) sit exactly between, with the sun rising due east and setting due west everywhere on Earth.

The practical size of the swing is large. At noon, the sun's altitude changes by about 47 degrees (twice the axial tilt) between the two solstices at any location. For a site near 20 degrees N - much of central India - the noon sun stands around 86-90 degrees in June (nearly overhead, so even a small horizontal shade blocks it) but only around 46 degrees in December (low in the south, so it reaches deep under that same shade). That single fact is the physical basis of the south-facing overhang: it rejects the high summer sun and welcomes the low winter sun, all with a fixed piece of concrete. The sun's yearly geometry, not a thermostat, is doing the switching.

ONE OVERHANG, TWO SEASONS overhang summer sun high winter sun low High summer ray is cut by the shade; low winter ray reaches deep into the room. S-facing wall
Zoom
Why one fixed overhang serves both seasons: the high summer sun is intercepted by the shade, while the low winter sun passes beneath it and reaches deep into the room. The trick is pure geometry - the noon sun's roughly 47-degree swing between solstices does the switching.

Noon sun swings ~47 deg solstice to solstice. That swing IS the overhang's trick.

Reading a sun-path diagram

A sun-path diagram compresses the whole year of solar geometry onto one drawing. The common stereographic form is a circular plot seen as if looking straight down at the sky dome: the outer circle is the horizon, the centre is the zenith (straight up), concentric rings mark altitude, and radial lines mark azimuth (compass bearing). Onto this the sun's daily path is drawn as an arc for each month - a high, wide arc for June near the top, a low, shallow arc for December, the equinox in between - and hour lines cross them so you can read the sun's position for any date and time at a glance.

The power of the diagram is that it turns 'where is the sun?' into something you can see and design against. Stand at a window on the plan, transfer its orientation onto the diagram, and you can immediately read which hours of which months the sun strikes it - and therefore when you need shade and when you want sun. Overlay the outline of a neighbouring building or a tree and you can read exactly when it will overshadow your site. Ladybug generates these diagrams straight from an EPW, colouring the paths by temperature or radiation so the geometry and the climate appear together. Once you can read a sun path, orientation and shading stop being guesswork.

From sun path to orientation and shading

Solar geometry converts directly into design moves. Orientation: in the hot parts of India the east and especially the west facades are the problem, because the sun is low there at sunrise and sunset and drives almost horizontally into glass - hard to shade and arriving when the day is already hot. The south gets high sun that a horizontal overhang handles easily, and the north gets gentle, glare-free light. So a simple, powerful move is to keep the long facades and main glazing facing north-south and to minimise and protect west-facing glass. In cold climates the logic flips: you want the low winter sun, so you open up to the south.

Shading follows the geometry. A horizontal overhang suits south facades, where the sun is high; vertical fins suit east and west facades, where the sun is low and sweeps sideways; and the right depth of each is read off the sun angles you need to block. Because latitude sets those angles, the same building needs different shading in Chennai and in Delhi - and a design copied from a magazine at another latitude will simply not shade correctly. The discipline is always the same: read the sun path for this latitude, decide which sun to admit and which to reject, then size the device to the angles. Simulation then confirms the hours it actually delivers.

Latitude changes the whole picture

Everything above is set by one number: your latitude. It fixes how high the sun climbs, how the seasons swing, and therefore how you must orient and shade - which is why solar geometry, more than almost any other topic in this course, refuses to travel between places.

Near the equator (0 degrees) the sun is high overhead most of the year and passes nearly straight up at noon, so both solstices are steep and shading is dominated by short, horizontal devices on nearly every face; there is barely a 'winter sun' to court. In the mid-latitudes (London at 51 degrees, much of Europe and North America) the sun is markedly lower even in summer and skims very low across the southern sky in winter, so south-facing solar gain becomes a prize worth designing for and overhangs must be tuned carefully to admit that low winter sun. Toward the poles the sun barely rises in winter and circles the sky in summer, and orientation logic changes again. India spans a revealing range - from about 8 degrees N at Kanyakumari to 34 degrees N in Kashmir - so the summer sun is close to overhead across most of the country (making horizontal shades highly effective) while the northern hill states get a lower, more oblique sun that rewards southern exposure in their cold winters.

The designer's takeaway is a habit, not a formula: always establish your latitude first, then read that latitude's sun path, and never lift a shading strategy from a project at a different one. A brise-soleil that performs beautifully in Chandigarh will over- or under-shade in Kochi, because the sun it was cut to block simply is not in the same place. Latitude is the silent variable behind every orientation and shading decision - name it before you draw the louvre.

Solar-geometry terms & tools

Solar altitude & azimuth

The two angles that fix the sun's position

Altitude = height above horizon; azimuth = compass bearing. Computed exactly from latitude, date and time.

Stereographic sun-path diagram

A year of sun positions on one circular plot

Rings show altitude, radials show azimuth, arcs show monthly paths; the core tool for orientation and shading.

Ladybug Tools (sun path)

Generates sun-path and radiation studies from an EPW

Free, in Grasshopper; colours paths by temperature or radiation so geometry and climate read together.

Solstice / equinox angles

The high, low and mid points of the sun's yearly swing

Noon altitude swings about 47 degrees between solstices; the basis of fixed-overhang design.

Hands-on workshop

Workshop - shade a facade from the sun path

You will read solar geometry for your site and use it to size a shading device - the classic move that a sun-path diagram exists to support.

A sun-path diagram (Ladybug Tools in Grasshopper, or a printed stereographic chart) and your site latitude. No paid software required.

Given & goal
Goal: turn sun angles into a shading decision for one facade
Inputs: your site latitude, a sun-path diagram (Ladybug or a printed chart), notebook
Time: ~35 minutes
  1. 1Find your site's latitude and get a stereographic sun-path diagram for it (generate one in Ladybug from your EPW, or use a printed/online chart). Identify the June-solstice, equinox and December-solstice arcs.
  2. 2Read the noon solar altitude on each of the three arcs. Note how far the sun swings between summer and winter at your latitude.
  3. 3Pick one facade of a simple box. From its orientation, read off the diagram which months and hours the sun strikes it - and decide which sun you want to reject (summer overheating) and which to admit (winter warmth or daylight).
  4. 4Choose the device: a horizontal overhang for a south facade, vertical fins for east/west. Using the summer noon altitude, estimate an overhang depth that just shades the window top in summer while letting the lower winter sun in.
  5. 5Sanity-check against latitude: note how your device would need to change if the building moved to a city 15 degrees further north or south - proof that shading cannot be copied between latitudes.

You’ll walk away with
A one-facade shading sketch: the three solstice/equinox sun altitudes, the hours the facade is struck, the chosen device and rough depth, and a note on how latitude would change it.

The worked example

Three altitudes on the same idea

Read the band that fits you — or all three.

For the architectPerformance-driven design decisions

Orientation and shading are among the highest-leverage moves you make, and both are pure solar geometry. Facing the long facades north-south, protecting west glass, and sizing overhangs to the actual solstice angles at your latitude can cut cooling load dramatically at zero material cost. Read the sun path at concept stage and the building shades itself; leave it late and you are bolting on louvres to fix a plan.

For the interior designerComfort, daylight & healthy interiors

Where the sun falls decides glare, fading, hot spots and the daily mood of a room - all things you shape. Knowing the sun path lets you place a reading nook out of the afternoon glare, argue for the right blind or fin, and bring soft north light onto a work surface. A sun-path read turns 'this corner feels harsh in the evening' into a geometry you can design around.

For the studentSkills, portfolio & green-building jobs

Sun-path reading is a signature skill that makes a studio project look professionally grounded. Generate a sun-path diagram for your site in Ladybug, overlay your massing, and show which facades need shade and when. It is quick to learn, visually striking on a sheet, and demonstrates that your orientation and shading choices came from evidence rather than instinct.

Misconception check

A horizontal overhang shades a window all year, so it will keep any facade cool.

Only on facades where the sun is high does a horizontal overhang work well - chiefly the equator-facing (south, in the northern hemisphere) wall, where high summer sun is cut while low winter sun is admitted. On east and especially west facades the sun is low near sunrise and sunset and drives almost horizontally into the glass, sliding straight under any horizontal shade exactly when it does the most heating. Those orientations need vertical fins, deep recesses, or simply less glass. And because the required angles depend on latitude, an overhang sized for one city will not shade correctly in another. The device must match both the facade orientation and the local sun geometry - which is why you read the sun path first.
Try it

Do it yourself

Test your solar-geometry reasoning.

  1. 1Define altitude and azimuth, and give the azimuth of the sun due south.
  2. 2Roughly how many degrees does the noon sun's altitude swing between the two solstices?
  3. 3On a stereographic sun-path diagram, what do the concentric rings and the radial lines represent?
  4. 4Why does a horizontal overhang shade a south facade well but a west facade poorly?
  5. 5Why can't you copy a shading device from a building at a different latitude?
Take this with you

The one line to carry out

The sun's position is two angles - altitude and azimuth - swinging predictably between solstices, and a sun-path diagram lets you read that swing to orient a building and size its shading before any hour is simulated. Geometry first; the tools confirm.
Take it further
References & further reading

Peer-reviewed journals & authoritative standards

  1. 01Sun pathWikipedia, 2026.
  2. 02Solar irradianceWikipedia, 2026.
  3. 03Ladybug Tools - Environmental analysis for GrasshopperLadybug Tools LLC, 2026.
  4. 04Brise soleilWikipedia, 2026.
Related lessons
Recap
Altitude and azimuth pin the sun at any moment, and its yearly swing between the June and December solstices - about 47 degrees at noon - is the physical basis of the south-facing overhang. A stereographic sun-path diagram plots the whole year on one chart, letting you read when the sun strikes each facade and design orientation and shading against it. Because the angles depend on latitude, shading cannot travel between cities.
Carry forward →

Sun geometry tells you when the sun is on a facade; degree days and bioclimatic charts tell you how severe the climate is overall and which passive strategies pay off. That synthesis closes the module.

A

The author

Amogh N P

Architect, interior designer, and creative polymath. Studio Matrx began in his notebooks — his vision of design made honest, useful, and open to everyone. Its Academy is written and taught in his memory, and free, forever.

More about Amogh →