10: Connect the appropriate points, understand the depth of the image, and you have a
step 1 for constructing a 2- point perspective
ﬁnal 2- point perspective constructed view
A three-point perspective construction is used when the picture plane is not parallel to the x,
y, or z-axes. This usually occurs in a situation where one is looking up at a scene or looking
down at something from above. There are three vanishing points, and each line vanishes at the
point associated with its axis. For example, all lines in the z-axis (moving vertically) will vanish
at the z-axis vanishing point.
1: Shown is the cube in top and front view. The two vanishing points (VPr and VPl) were made
by drawing a line perpendicular to the line between the station point and the center of the
cube and drawing lines from the station point parallel to the sides of the cubes. The locations
of the intersections is where the vanishing points are.
step one to a 3- point perspective drawing of a cube
2: Draw a folding line parallel to the line between the station point and center of the cube and
project all points using transfer distances. To ﬁnd the location of the vanishing points, draw a
line parallel to the folding line from the station point in view 1. This will give you the line
between the two vanishing points in point view (therefore, they appear as the same vanishing
point). Draw another line perpindicular to the folding line. Then draw a horizontal line from VP.
Where the perpendicular line from SP and the horizontal meet is the location of the vertical
vanishing point (VPv). The horizontal line drawn is the picture plane (PP).
step two to a 3- point perspective drawing of a cube
Draw lines from the station point to each point of the cube in views 1 and 2. Mark where
these lines cross the picture plane. In the case of point 3, extend the line until it reaches the
picture plane. Extend the folding line down and transfer the points along the picture plane in
view one to the lower part of the folding line between views 1 & 2. This will prepare you to
make the ﬁnal 3-point perspective view.
step three to a 3- point perspective drawing of a cube
4: Project the points along the picture plane down from view 2. Then project the points along
the folding line horizontally. Where one line intersects its corresponding line, mark the point.
Connect the points and calculate visibility to create the ﬁnal view.
step four to a 3- point perspective drawing of a cube
views of the building, construct a 3-point perspective showing what you see.
Answer to problem 1
2. Given the top and front views, construct a 2-point perspective.
Problem 2 answer
3. Given the top and front views, construct a 3-point perspective.
Problem 3 answer
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