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Isometric Athens Polikatoikia Facade: Balconies on Three Axes
Learn to draw a multi-story Athens apartment facade in isometric, placing balcony slabs, railings, and window openings on three axes with clear checks.
Free lesson
Four exercises
Worked answers
Object Drawing Lessons
This lesson teaches isometric construction of a multi-story Athens polikatoikia facade with balconies. You will use three axes: vertical, left receding, and right receding. The goal is a clean, checkable facade drawing, not perspective or city context. All measurements are hypothetical examples; measure your own paper and tools. A convention is defined for line placement and x-height so valid alternatives are accepted.
Practice materials: Printable downloads are not available for this lesson yet. Use the instructions and four exercises below.
Set the isometric frame and axes
Isometric drawing uses three axes separated by 120 degrees on paper: vertical (up), left receding (down-left), and right receding (down-right). Equal lengths along these axes represent equal real lengths. Choose a unit length, for example 10 mm, and label it as a hypothetical example. Draw a light axis guide: a vertical line, a line at 30 degrees down-left, and a line at 30 degrees down-right from a common origin.
Decide the facade width and height in units. For a polikatoikia, a typical facade may be 6 units wide and 12 units tall, but these are hypothetical. Mark floor levels every 3 units vertically. Mark balcony projections along the right receding axis, for example 2 units. Keep all parallel edges parallel to the three axes.
- Draw a vertical axis and two receding axes at 30 degrees from horizontal.
- Mark a unit length on each axis and label it as a hypothetical example.
- Set facade width along the left receding axis and height along the vertical axis.
- Mark floor levels at equal vertical intervals.
- Lightly mark balcony projection depth along the right receding axis.
Build the facade plane and floor bands
The facade plane is a parallelogram bounded by the vertical axis and the left receding axis. Draw its outline lightly. Add horizontal floor bands as lines parallel to the left receding axis at each floor level. These bands represent slab edges and help align windows and balconies.
Use a consistent line convention: construction lines are light and thin; final edges are darker and thicker. X-height for any lettering is baseline to midline; letter styles vary, so accept any legible style that meets the rubric. Do not invent printer tolerances; measure your actual paper and pen widths if needed.
- Outline the facade parallelogram using vertical and left receding axes.
- Draw floor bands parallel to the left receding axis at each level.
- Check that all bands are parallel and equally spaced vertically.
- Keep construction lines light and final edges dark.
Place balcony slabs, railings, and window openings
Balcony slabs project from the facade along the right receding axis. For each balcony, draw a parallelogram slab: two edges parallel to the left receding axis (width) and two edges parallel to the right receding axis (depth). Place the slab at a floor band. Add a railing as a thin vertical rectangle or line set above the slab edge, using vertical and right receding axes.
Window openings are rectangles on the facade plane: edges parallel to vertical and left receding axes. Align them between floor bands. Use a simple convention: openings are shown as darker outlines with no interior detail. Valid alternatives include showing a thin sill line or a recessed edge, as long as axes remain consistent.
- Draw each balcony slab as a parallelogram on the right receding axis.
- Add railing lines above the slab using vertical and right receding axes.
- Draw window openings as rectangles on the facade plane.
- Check that every edge is parallel to one of the three axes.
- Darken final edges and erase unnecessary construction lines.
Check consistency and finish
Verify that all vertical edges are truly vertical, all left receding edges are parallel, and all right receding edges are parallel. Count floors and balconies to match your plan. Use simple arithmetic: if each floor is 3 units and there are 4 floors, total height is 12 units. If each balcony projects 2 units, the slab depth is 2 units on paper.
Finish with a title block using the defined x-height convention. The rubric allows valid alternatives in line weight, lettering style, and minor decorative choices, provided the isometric axes and structural logic are correct.
- Check parallelism of all edges against the three axes.
- Count floors, balconies, and windows against your plan.
- Confirm unit arithmetic for height and projection.
- Add a title block with legible lettering at baseline-to-midline x-height.
Worked example
Draw a 3-floor facade 6 units wide and 9 units tall, with one balcony per floor projecting 2 units. Use a unit of 10 mm as a hypothetical example. Show window openings between floor bands.
Worked answer
Outline a parallelogram 6 units along the left receding axis and 9 units vertical. Mark floor bands at 3, 6, and 9 units. On each band, draw a balcony slab 3 units wide along the left receding axis and 2 units deep along the right receding axis. Add railing lines above each slab. Draw two window rectangles per floor between bands, aligned vertically. Check that all edges are parallel to the three axes and that total height is 9 units.
Four practice exercises
Exercise 1
Draw a 2-floor facade 4 units wide and 6 units tall with one balcony per floor projecting 1 unit. Use a unit of 15 mm as a hypothetical example. Describe the slab shape and railing placement.
Show answer and check
Facade parallelogram: 4 units along left receding axis, 6 units vertical. Floor bands at 3 and 6 units. Each balcony slab is 2 units wide along left receding axis and 1 unit deep along right receding axis, placed at a band. Railing lines rise vertically above the slab edge and run along the right receding axis.
Why: The facade uses vertical and left receding axes; balconies project on the right receding axis. Equal vertical intervals give two floors of 3 units each.
Check: Verify all edges are parallel to the three axes; count two floor bands and two slabs; confirm slab depth is 1 unit and width is 2 units.
Exercise 2
A facade is 5 units wide and 10 units tall with floor bands every 2.5 units. How many floors are shown? Draw one window per floor centered between bands, and state the window rectangle axes.
Show answer and check
Four floors. Window rectangles use vertical and left receding axes, placed between adjacent bands. Each window is centered horizontally on the facade plane.
Why: 10 divided by 2.5 equals 4 floors. Windows on the facade plane use vertical and left receding edges.
Check: Count bands: 2.5, 5, 7.5, 10 gives four intervals; check each window sits between two bands and edges are parallel to vertical and left receding axes.
Exercise 3
Draw a 3-floor facade with balconies of alternating depth: 1 unit and 2 units, using a unit of 8 mm as a hypothetical example. Explain how to keep the slabs consistent.
Show answer and check
Mark three floor bands. On floor 1, draw a slab 1 unit deep along the right receding axis; on floor 2, 2 units deep; on floor 3, 1 unit deep. Keep width constant along the left receding axis. Railings follow each slab edge using vertical and right receding lines.
Why: Alternating depth is allowed if each slab uses the right receding axis and the same unit length. Consistency comes from measuring depth along that axis only.
Check: Measure each slab depth along the right receding axis; confirm values alternate 1, 2, 1 unit; check railings align with slab edges.
Exercise 4
Create a facade 6 units wide and 8 units tall with two balconies on the top floor and one on each lower floor. Use floor bands every 2 units. Describe the layout and a simple arithmetic check.
Show answer and check
Four floors with bands at 2, 4, 6, 8 units. Lower three floors each have one balcony slab; top floor has two slabs side by side. Each slab projects 1.5 units along the right receding axis. Arithmetic check: 8 divided by 2 equals 4 floors; total balcony count is 1+1+1+2=5.
Why: Equal vertical intervals define floors; balcony count and placement are planned before drawing. Slab depth is measured on the right receding axis.
Check: Count four bands and five slabs; verify each slab depth is 1.5 units; confirm all edges are parallel to the three axes.
Common mistakes
- Drawing balcony slabs with edges that are not parallel to the isometric axes. Redraw each slab as a parallelogram using only left receding and right receding edges.
- Using perspective convergence instead of parallel isometric lines. Keep all receding lines parallel; do not converge them toward a vanishing point.
- Misaligning windows between floor bands. Draw floor bands first, then place window rectangles between adjacent bands.
- Inconsistent unit lengths along axes. Mark one unit length on each axis and use it consistently; label numerical values as hypothetical examples.
Self-check rubric
- All edges are parallel to one of the three isometric axes.
- Facade outline is a correct parallelogram with consistent unit lengths.
- Floor bands are parallel and equally spaced vertically.
- Balcony slabs use the right receding axis for depth and left receding axis for width.
- Railings are placed above slabs with vertical and right receding edges.
- Window openings are rectangles on the facade plane and align between bands.
- Line convention is consistent: light construction lines, darker final edges.
- Lettering is legible with x-height from baseline to midline; style may vary.
- Numerical values are labeled as hypothetical examples where used.
- Valid alternatives in line weight, lettering style, and minor decoration are accepted if axes and structure remain correct.
Questions and answers
Do I need a ruler or grid?
A ruler helps, but you can use any straight edge. A light axis guide is enough; no printed grid is required.
Can I vary balcony depth?
Yes, as long as each slab uses the right receding axis and you keep a consistent unit. State your chosen depth as a hypothetical example.
How many floors should the facade have?
Choose any number that fits your paper. Three to five floors is manageable; mark equal vertical intervals.
What lettering style is required?
Any legible style is acceptable. X-height is baseline to midline; letter styles vary, so the rubric checks legibility and placement, not a single style.