⬅ Previous Lesson Workshop Index Next Lesson ➡

Two-Dimensional Representations of Three-Dimensional Objects

Objective

In this lesson, you will study the way two-dimensional drawings in one- or two-point perspective can also represent three-dimensional objects.

Previously Covered:

A polyhedron is three-dimensional figure with faces that are all polygons.
Any polyhedron satisfies Euler’s Formula: , where F = number of faces, E = number of edges, and V = number of vertices.

Using two-point perspective to represent a cube

Step 1 Draw one edge of the polyhedron and the horizon line. Choose two points on the horizon line. We call these vanishing points.

$edge of a polyhedron and the horizon line >>$

Step 2 Draw a dashed line connecting each of the two endpoints with each vanishing point.

$dashed line connecting each of the two endpoints with each vanishing point$

Step 3 Draw two segments parallel to the original edge between the dashed lines on each side. Connect the top of each new segment to the opposite vanishing point, as shown.

$Connect the top of each new segment to the opposite vanishing point$

Step 4 Fill in the necessary dashed line segments to complete the visible faces and erase the remaining dashed lines.

$Figure without dashed lines$

Question

Which of the drawings below is in two-point perspective?

$Four drawings in one or two point perspective$

Reveal Answer

The correct answer is C. C shows a figure with two vanishing points. Answers A, B, and D are in one-point perspective and C is in two-point perspective.

⬅ Previous Lesson Workshop Index Next Lesson ➡