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ARCHITECTURAL DRAWING & GRAPHICS-II UNIT II

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AR203

ARCHITECTURAL DRAWING & GRAPHICS-II

UNIT II

ONE-POINT PERSPECTIVE

Blocks, Furniture and Interior Spaces

Raceding lines converge to one vinaching point

Concept diagram: one principal depth direction converges to a single Vanishing Point. B.Arch. II Year / III Semester | Session 2026-27

Unit II Overview

Prescribed Syllabus
Perspectives of simple and complex blocks; perspectives of simple household furniture items; interior views; etc.

This chapter is organised around the prescribed Unit-II syllabus and the supplied Architectural Drawing & Graphics-II exercise booklet. Exercises 01-04, 09, 10 and 11 are integrated where they support the learning sequence. Exercises 05-08 are not treated as core one-point-perspective exercises here because their principal horizontal edges are inclined to the Picture Plane; they are more appropriate for two-point perspective and should be taken up in Unit III.

The supplied exercise booklet does not contain a separate dimensioned furniture-construction exercise. Therefore, the furniture exercises in Section 2.7 are supplementary syllabus-aligned practice added to cover the syllabus requirement. They are clearly identified as such.

Learning Objectives

  • Understand the geometric condition that produces one-point perspective.
  • Construct one-point perspectives of basic points, lines, planes and simple solids.
  • Develop perspectives of simple and composite blocks using a single principal Vanishing Point.
  • Apply the bounding-box method to simple household furniture.
  • Construct one-point interior views with openings, flooring, furniture and scale references.
  • Use line weight, tone and basic rendering to improve architectural presentation.

Exercise-to-Syllabus Alignment

Study-note section

Syllabus component

Exercise-book alignment

2.4 Preparatory Perspective Exercises

Foundation / bridge from Unit I

Exercises 01-03: Point, Line, Square Lamina

2.5 Simple Block

Simple blocks

Exercise 04: Square Prism

2.6 Complex / Composite Block

Complex blocks

Exercise 09: Square Prism + Square Pyramid

2.7 Household Furniture

Furniture items

Supplementary F1-F3 (added for syllabus coverage)

2.8 Basic Interior Perspective

Interior views

Exercise 10: House Interior

2.9 Furnished Interior Perspective

Interior + furniture

Exercise 11: House Interior

Reserved for Unit III

Two-point perspective

Exercises 05-08

2.1 Introduction to One-Point Perspective

One-point perspective is a perspective system in which one principal set of horizontal lines receding away from the observer converges towards a single Vanishing Point (VP). It is normally used when one principal face of the object is parallel to the Picture Plane (PP), while the depth direction recedes approximately perpendicular to the PP.

This makes one-point perspective particularly suitable for frontal architectural views such as rooms, corridors, galleries, classrooms, entrance halls, roads, railway tracks and furniture placed with a principal face towards the observer.

Core Rule
Verticals remain vertical. Horizontal edges parallel to PP remain horizontal. Horizontal edges receding in depth converge towards one common VP.

Raceding lines converge to one vinaching point​

Figure 2.1. Basic visual principle of one-point perspective

2.2 Conditions for One-Point Perspective

Principal direction

Behaviour in one-point perspective

Vertical edges

Remain vertical

Horizontal edges parallel to PP

Remain horizontal

Horizontal edges receding perpendicular to PP

Converge towards one VP

Frontal plane

Appears without perspective convergence in its own horizontal/vertical edges

Depth direction

Shows diminution and convergence

A central Vanishing Point creates a formal and symmetrical composition. An off-centre Vanishing Point can still produce one-point perspective, but the composition appears more dynamic. In both cases the same principal depth direction converges towards the same VP.

2.3 Construction Elements and Working Sequence

Principal direction

Behaviour in one-point perspective

Vertical edges

Remain vertical

Horizontal edges parallel to PP

Remain horizontal

Horizontal edges receding perpendicular to PP

Converge towards one VP

Frontal plane

Appears without perspective convergence in its own horizontal/vertical edges

Depth direction

Shows diminution and convergence

A central Vanishing Point creates a formal and symmetrical composition. An off-centre Vanishing Point can still produce one-point perspective, but the composition appears more dynamic. In both cases the same principal depth direction converges towards the same VP.

2.3 Construction Elements and Working Sequence

Element

Meaning / use

Picture Plane (PP)

Imaginary vertical plane on which the perspective image is formed.

Station Point (SP)

Plan position of the observer.

Ground Plane (GP)

Horizontal reference plane on which the object rests.

Ground Line (GL)

Intersection of the Picture Plane and Ground Plane.

Horizon Line (HL)

Represents the observer’s eye level.

Central Plane (CP)

Vertical plane through SP, generally perpendicular to PP.

Vanishing Point (VP)

Point on HL towards which the principal receding horizontal lines converge.

Visual Rays

Lines joining SP to important object points; used to locate perspective positions.

Standard Construction Sequence

  1. 1. Draw the Picture Plane and place the plan of the object in the required relation to PP.
  2. 2. Locate the Station Point and Central Plane.
  3. 3. Draw visual rays from SP to the important plan corners and mark their piercing points on PP.
  4. 4. Establish the Ground Line and Horizon Line according to the eye height.
  5. 5. Locate the Vanishing Point on HL.
  6. 6. Project the PP piercing points into the perspective field.
  7. 7. Construct frontal edges and draw receding lines towards VP.
  8. 8. Transfer heights from a suitable true-height/reference vertical.
  9. 9. Complete rear/secondary surfaces, openings and subdivisions.
  10. 10. Retain construction lines lightly and darken only the final visible edges.

Memory Sequence
PLAN → SP → VISUAL RAYS → PP → PROJECTORS → VP → HEIGHTS → FINAL PERSPECTIVE

2.4 Preparatory Perspective Exercises: Point → Line → Plane

The exercise booklet begins with three fundamental problems before moving to solids. These are best understood as bridge exercises between Unit I and Unit II. They establish the projection logic that will later be used for blocks, furniture and interiors.

Exercise 01 – Perspective of a Point

Exercise-book problem
Draw the perspective view of a point A situated 20 mm behind the picture plane and 15 mm above the ground plane. The station point is 30 mm in front of the picture plane, 40 mm above the ground plane, and lies in a central plane which is 35 mm to the left of the given point.

Learning focus: locating a single perspective point through plan position, eye height, Station Point and visual-ray projection.

Exercise 02 – Perspective of a Straight Line

Exercise-book problem
Draw the perspective view of a straight line AB, 60 mm long, parallel to and 10 mm above the ground plane and inclined at 15° to PP. End A is 20 mm behind the picture plane. The station point is 35 mm in front of the picture plane and 45 mm above the ground plane and lies in a central plane passing through the mid-point of AB.

Learning focus: project the two end points independently, then join their perspective positions. The exercise shows how apparent length changes with orientation and distance.

Exercise 03 – Perspective of a Square Lamina

Exercise-book problem
A square lamina of 40 mm side lies on the ground plane. One of its corners is touching the PP, and an edge is inclined at 60° to PP. The station point is 40 mm in front of PP, 60 mm above GP, and lies in a central plane which is at a distance of 35 mm to the right of the corner touching the PP. Draw the perspective view of the lamina.

Learning focus: move from separate points and lines to a complete plane surface. Locate all corners through visual rays and preserve the correct edge connectivity in the final perspective.

2.5 Perspective of Simple Blocks

The square prism is the first major one-point-perspective solid in the exercise booklet because one rectangular face is parallel to the Picture Plane. This condition gives a clear frontal face while the depth edges recede to a single VP.

Exercise 04 – Square Prism (Core One-Point Problem)

Exercise-book problem
A square prism, with a base side of 40 mm and a height of 60 mm, rests with its base on the ground such that one of its rectangular faces is parallel to and 10 mm behind the picture plane. The station point is 30 mm in front of the PP, 80 mm above the ground plane, and lies in a central plane 45 mm to the right of the centre of the prism. Draw the perspective view.

Worked Construction Logic

  1. 11. Draw PP and the 40 mm × 40 mm plan of the prism with one rectangular face parallel to PP and 10 mm behind it.
  2. 12. Locate the centre of the prism in plan and position the Central Plane 45 mm to the right of that centre as stated in the problem.
  3. 13. Locate SP 30 mm in front of PP. Draw visual rays from SP to all four plan corners and note their intersections with PP.
  4. 14. Draw GL and place HL 80 mm above GL to represent the observer’s eye level.
  5. 15. Locate the one principal VP on HL along the central viewing direction.
  6. 16. Project the PP piercing points vertically into the perspective field. Construct the front vertical face first.
  7. 17. From the four corners of the frontal face draw the depth edges towards VP.
  8. 18. Use the plan-derived projectors to locate the rear face; do not guess or directly measure 19. perspective depth.
  9. 19. Join the corresponding rear vertical/horizontal edges and darken the visible outline.

Important
The front face being parallel to PP is the key condition that makes this a clear one-point-perspective exercise.

2.6 Perspective of Complex / Composite Blocks

Complex forms should be simplified into basic volumes. Construct the primary block first, establish reliable subdivisions on its visible surfaces, and then add the secondary solid. This avoids trying to draw the final complex form all at once.

Exercise 09 – Square Prism with Square Pyramid

Exercise-book problem
A square prism, side of base 40 mm, height 20 mm rests with its base on the ground such that one of its rectangular faces is in the PP. A square pyramid of height 30 mm is placed centrally on the top of the prism such that the four corners of the base of the pyramid touch the mid points of the edges of the top face of the prism. The station point is 80 mm in front of the picture plane, 60 mm above the GP and lies in a central plane which is 55 mm to the right of the axes of the solids. Draw the perspective view of the combination of solids.

Construction Strategy

  1. 20. Construct the square prism accurately in one-point perspective.
  2. 21. On the top face, locate the midpoints of the four edges using diagonals or appropriate projective subdivisions.
  3. 22. Join the midpoints to obtain the square base of the pyramid on the prism top.
  4. 23. Locate the centre of this square; this is the plan position of the pyramid axis.
  5. 24. Raise the apex 30 mm above the top of the prism using a true-height/reference vertical and projection method.
  6. 25. Join the apex to all four base corners of the pyramid.
  7. 26. Remove or lighten hidden construction lines and strengthen the visible edges.

Design Lesson
For complex objects: construct the bounding/primary volume first → establish subdivisions → add secondary forms.

2.7 Perspectives of Simple Household Furniture

The Unit-II syllabus specifically requires perspectives of simple household furniture items. The supplied exercise booklet does not provide a separate dimensioned furniture problem, so the following exercises are supplementary syllabus-aligned practice.20. 

Figure 2.6. Recommended furniture method: construct an overall bounding volume first.

Furniture Exercise F1 – Study Table (Supplementary)

Given
Top size 1200 × 600 mm; overall height 750 mm; tabletop thickness 50 mm; four legs 75 × 75 mm.

  1. 27. Construct the overall bounding box in one-point perspective.
  2. 28. Mark the tabletop level and thickness.
  3. 29. Locate the four leg positions in plan or on the top/bottom reference surfaces.
  4. 30. Drop verticals for the legs and complete their rectangular sections.
  5. 31. Remove the unnecessary bounding-box guides and strengthen visible edges.

Furniture Exercise F2 – Single Bed (Supplementary)

Given
Length 2000 mm; width 1000 mm; mattress height 450 mm; headboard height 900 mm.

Use the same bounding-box principle. Establish the bed platform/mattress first, then the headboard. Add a side table only after the main volume is stable.

Furniture Exercise F3 – Wardrobe / Cabinet (Supplementary)

Given
Width 1200 mm; depth 500 mm; height 2100 mm.

The wardrobe is useful for practising tall vertical proportions, door divisions and shallow depth. Keep all verticals vertical, frontal horizontals horizontal and receding cabinet depth lines directed towards VP.

2.8 One-Point Interior Perspective – Basic House Interior

Interior perspective is the principal architectural application of this unit. A room is treated as a large rectangular volume containing a floor, ceiling, side walls and back wall. Receding floor, ceiling and side-wall edges converge towards the same VP.

Exercise 10 – House Interior

Exercise 10 in the supplied booklet is titled “HOUSE INTERIOR” and shows a room with a side-wall window, a back-wall window and door, a chair/table arrangement and a cabinet/TV unit. Use it as the first full interior exercise.

Recommended Construction Sequence

  1. 32. Draw the room plan and identify the Picture Plane and viewing direction.
  2. 33. Locate SP and the single VP; establish GL and HL at the required eye height.
  3. 34. Construct the frontal room frame and draw floor/ceiling/wall receding lines towards VP.
  4. 35. Locate the back wall by plan projection rather than by visual guesswork.
  5. 36. Project door and window positions from plan; transfer sill, lintel and door heights from elevation/reference verticals.
  6. 37. onstruct the larger furniture pieces using bounding boxes.
  7. 38. dd smaller items only after the major geometry is correct.
  8. 39. Introduce a floor grid or simple material divisions to reinforce depth.
  9. 40. Apply line weight and light rendering, keeping the architectural space dominant.

2.9 Furnished Interior Perspective – Advanced Application

Exercise 11 – House Interior

Exercise 11 develops the interior further through a furnished living-space reference. It is appropriate as the advanced Unit-II exercise because it requires the student to coordinate the room envelope, openings, furniture, ceiling element, floor treatment and decorative accessories within one consistent perspective system.

Construction Priorities

  • Room geometry must be correct before furniture is added.
  • Large furniture should be built from simple bounding boxes.
  • Repeated floor or ceiling lines must show progressive compression.
  • All receding edges that belong to the principal depth direction must converge to the same VP.
  • Accessories and rendering should support scale and depth, not conceal construction errors.

2.10 Doors, Windows and Openings

Openings on the side walls require particular care. Their vertical jambs remain vertical, while sill and head lines that recede along the wall follow the same VP as the wall. Accurate positions should be obtained from plan projection; widths should not be guessed directly on the receding wall.

  1. 41. Locate the opening in plan.
  2. 42. Project its plan limits through SP to PP.
  3. 43. Transfer those positions into the perspective field.
  4. 44. Mark sill, lintel and door-head heights from a reference vertical/elevation.
  5. 45. Complete receding horizontal lines towards VP.

2.11 Flooring and Repetitive Elements

Floor tiles, ceiling panels, wall modules and other repetitive elements are excellent devices for demonstrating depth. Equal real-world intervals cannot be drawn as equal perspective intervals. Their apparent spacing becomes progressively smaller with distance.

Key Principle
Equal actual spacing ≠ equal spacing in the perspective image. Longitudinal lines converge to VP; transverse divisions compress towards the background.

2.12 Human Figures, Accessories and Scale

People, furniture and familiar accessories provide immediate scale references. If similarly tall people stand on the same horizontal ground plane, their eye positions should align with the common Horizon Line when the drawing is constructed consistently.

Plants, paintings, lamps and other accessories should be added only after the principal architecture and furniture are correct. Their role is to communicate use, scale and atmosphere.

2.13 Rendering and Graphic Presentation

Graphic element

Recommended treatment

Primary foreground edges

Heavier line

Secondary object edges

Medium line

Distant details

Light line

Construction/projection lines

Very light line

Surfaces/materials

Controlled tone or texture

Shadows

Use consistently to reinforce volume and depth

A successful perspective drawing combines geometric accuracy with graphic clarity. Rendering should never be used to hide incorrect construction.

2.14 Common Errors in One-Point Perspective

Common error

Correction

Using different VPs for the same depth direction

All principal depth lines must converge to one common VP.

Drawing receding lines parallel

Receding lines must visually converge towards VP.

Directly measuring equal intervals on depth lines

Use projection, diagonals, grid or measuring methods.

Tilting verticals

Vertical edges remain vertical in standard one-point perspective.

Guessing door/window positions

Locate openings from plan and transfer heights from elevation/reference lines.

Adding furniture before room geometry is stable

Construct room envelope first, then bounding boxes for furniture.

Over-dark construction lines

Keep guides light; strengthen only the final visible drawing.

2.15 Exercises Reserved for Unit III

The following exercise-book problems are intentionally not treated as core Unit-II problems because their principal horizontal edges are inclined to PP, producing two horizontal receding directions. They should be studied with Unit III – Two-Point Perspective.

Exercise

Reason for Unit-III placement

05 – Rectangular prism

Longer base edge inclined 45° to PP.

06 – Square pyramid

Base edges equally inclined to PP.

07 – Model of steps

Longer edge inclined 30° to PP.

08 – Shed

Horizontal long edges inclined 45° to PP.

2.16 Quick Revision

One-Point Perspective at a Glance
One principal VP • front face parallel to PP • verticals remain vertical • frontal horizontals remain horizontal • depth edges converge to VP • HL = eye level • SP = observer position • use a bounding box for furniture • establish the room volume before adding interior details.

Review Questions

  1. 46. Define one-point perspective and state the geometric condition under which it is used.
  2. 47. Explain the relationship between Picture Plane, Station Point, Horizon Line and Vanishing Point.
  3. 48. Why should perspective depth not be measured directly on receding lines?
  4. 49. Describe the construction sequence for a simple square prism in one-point perspective.
  5. 50. Explain the bounding-box method for furniture perspective.
  6. 51. How are doors and windows located accurately on a receding side wall?
  7. 52. Why do equal floor-tile intervals appear progressively smaller with distance?
  8. 53. Describe the correct sequence for constructing a furnished room interior.

Short MCQ Revision

Question

Answer

In one-point perspective, how many principal depth VPs are used?

One

Where is the VP located?

On the Horizon Line

What does HL represent?

Observer’s eye level

How do standard vertical edges behave?

They remain vertical

What should be constructed first for a table or bed?

An overall bounding box

Do equal real intervals remain equal in perspective depth?

No; they compress with distance

Suggested Submission / Practice Sheet Sequence

Sheet

Exercise

Purpose

1

Exercises 01-03

Point, line and plane projection fundamentals

2

Exercise 04

Simple one-point square prism

3

Exercise 09

Composite solid: prism + pyramid

4

Furniture F1-F3

Table, bed and wardrobe using bounding boxes

5

Exercise 10

Basic house interior

6

Exercise 11

Advanced furnished interior with graphic presentation

End of Unit II

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