Free original lessons
Plan and sketch an auditorium interior with a stage, stepped seating rows, and clear sightline construction using simple geometry and measured checks.
This lesson teaches a repeatable method for drawing an auditorium interior. You will place a stage, build tiered seating rows in perspective, and construct sightlines that show whether seated viewers can see the stage floor. The approach uses a plan-and-elevation sketch first, then transfers key points into a one-point perspective view. All numerical values are hypothetical examples; measure your own paper and tools. The convention for handwriting and labels is simple: lowercase x-height is measured from baseline to midline, and letter styles may vary as long as labels remain legible and consistent.
Practice materials: Printable downloads are not available for this lesson yet. Use the instructions and four exercises below.
Begin with a rectangle representing the auditorium floor in plan view. Mark the stage as a rectangle along one short side. Decide a stage depth and a seating depth using hypothetical values, for example a stage depth of 6 units and a seating depth of 18 units. Keep all units consistent.
Divide the seating area into rows. A practical starting point is 8 rows spaced 2 units apart, giving 16 units of seating depth plus a 2-unit aisle at the rear. Label the front row as row 1 and the rear row as row 8. Mark the centerline so left and right seating can be mirrored.
In one-point perspective, the stage opening sits on the picture plane. Place a horizon line at seated eye level, for example 4 units above the floor in your drawing scale. The vanishing point lies on the centerline.
Each seating row rises by a riser height. Use a hypothetical riser of 0.5 units per row. Row 1 floor is at 0 units, row 2 at 0.5, row 3 at 1.0, and so on. Draw the row platforms as horizontal bands that recede toward the vanishing point. The front edge of each platform is a horizontal line; the side edges converge to the vanishing point.
A sightline is a straight line from a viewer's eye to the top of the stage floor or to the stage lip. In elevation view, place a viewer's eye at seated eye height above each row platform. Use a hypothetical seated eye height of 1.2 units above the row platform. Represent the head of the viewer in the row ahead as a circle or oval with a hypothetical top-of-head height of 1.3 units above that row's platform. Clearance must be checked at the horizontal position of the obstructing head, not just by comparing heights. Compute the sightline height at the row ahead by linear interpolation between the eye point and the stage lip, then compare that interpolated height with the top-of-head height. If the interpolated sightline height is below the top of the head ahead, raise the rear row or adjust the stage height.
Draw a line from each eye point to the stage lip. The line must clear the head of the viewer in the row ahead. Represent the head as a circle or oval with a hypothetical top-of-head height of 1.3 units above the row platform. If the sightline passes below the top of the head ahead, raise the rear row or adjust the stage height.
Transfer the plan and elevation decisions into the perspective interior. Draw the stage opening, the tiered row platforms, and a few seated figures as simple ovals and rectangles. Add sightline guides as thin dashed lines from selected eye points to the stage lip.
Label the stage, row numbers, horizon line, and vanishing point. Use the handwriting convention: x-height from baseline to midline, with consistent letter style. Keep labels short so they do not obscure the drawing.
Using hypothetical values: stage lip height 1.0 unit, row 1 platform 0 units, riser 0.5 units, seated eye height 1.2 units, top-of-head height 1.3 units. Check whether row 3 can see the stage lip over row 2. Assume the horizontal distance from row 3 to the stage lip is 3 row spacings and row 2 is 1 row spacing from row 3, so row 2 lies one-third of the way from row 3 to the stage lip.
Row 2 platform is 0.5 units; row 3 platform is 1.0 unit. Row 3 eye is 1.0 + 1.2 = 2.2 units. Row 2 top of head is 0.5 + 1.3 = 1.8 units. The sightline from 2.2 at row 3 to 1.0 at the stage lip drops 1.2 units over 3 spacings, or 0.4 units per spacing. At row 2, one spacing from row 3, the sightline height is 2.2 − 0.4 = 1.8 units. This equals the top-of-head height, so the line just grazes row 2's head; it does not clearly clear it. Raise the row 3 platform slightly or the stage lip to gain clearance.
A plan has 6 rows spaced 2 units apart. What is the seating depth from row 1 front edge to row 6 front edge?
10 units.
Why: Five gaps between six rows: 5 × 2 = 10 units.
Check: Count the gaps on the plan and multiply by the row spacing.
With riser 0.4 units, what is the platform height of row 5 if row 1 is at 0 units?
1.6 units.
Why: Four risers above row 1: 4 × 0.4 = 1.6 units.
Check: Add 0.4 four times from row 1 to row 5.
Row 4 platform is 1.2 units, eye height is 1.1 units, and row 3 top of head is 1.5 units. The stage lip is at 0.8 units. Row 4 is 2 row spacings from the stage lip and row 3 is 1 spacing from row 4, so row 3 lies halfway between row 4 and the stage lip. Does the row 4 sightline clear row 3's head?
No. The interpolated sightline height at row 3 is 1.55 units, which is above 1.5 units by only 0.05 units; this is a marginal clearance, so treat it as not reliably clear and raise the rear row or stage lip.
Why: Eye height is 1.2 + 1.1 = 2.3 units. The sightline drops from 2.3 to 0.8, a drop of 1.5 units over 2 spacings, or 0.75 units per spacing. At row 3, halfway, the height is 2.3 − 0.75 = 1.55 units. Compare 1.55 with the top-of-head height 1.5: the line is only 0.05 units above the head, which is too close to count as clear.
Check: Draw the line from 2.3 to 0.8, mark the midpoint at row 3, and measure its height against 1.5; confirm the 0.05-unit margin by arithmetic.
A drawing uses 8 rows with 0.5-unit risers. What is the total height difference from row 1 to row 8?
3.5 units.
Why: Seven risers: 7 × 0.5 = 3.5 units.
Check: Subtract row 1 height from row 8 height on the elevation scale.
No. Use hypothetical values and label them as examples. The method matters more than the numbers.
Start with 6 to 8 rows so tiering and sightlines are visible without crowding the page.
Yes. Any consistent value works if you recalculate row heights and check sightlines.
Interpolate the sightline height at the row ahead; if it is below or too close to the top-of-head height, increase the riser height for rear rows or raise the stage lip, then redraw the affected lines.