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Parallel Lines and Art

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Parallel Lines and Art Objectives To apply parallel lines to construction, technical drawing and art There are three tasks you are going to be asked to do today: Task ... – PowerPoint PPT presentation

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Title: Parallel Lines and Art


1
Parallel Linesand Art
2
Objectives
  • To apply parallel lines to construction,
    technical drawing and art
  • There are three tasks you are going to be asked
    to do today
  • Task 1 Geometric Construction of Parallel Lines
  • Task 2 Parallel Projection Elevation, Oblique,
    Isometric
  • Task 3 Obstacle Drawing

3
Geometric Construction
  • In geometry, constructions utilize only two tools
    - the straightedge (an unmarked ruler) and the
    compass.
  • Never draw freehand when doing a construction!
  • The compass

4
Task 1 Construct Parallel Lines
  • Step 1
  • Put point A on line
  • Draw a line through points P and A

. P
. A
5
Task 1 Construct Parallel Lines
Step 2 Find the center of the circle thing on
your compass and place it the center on point A.
6
Task 1 Construct Parallel Lines
Step 3 Adjust the moving thing to about 3 on
the ruler. Then make an arc off of point A
. P
. A
7
Task 1 Construct Parallel Lines
Step 3 Do the same thing at point P
. P
. A
8
Parallel Projection
  • Parallel transformation of points.
  • The perspective transformations that describe how
    a point in three space is mapped to the drawing
    plane can be explained using elementary geometry.
  • Begin by setting up coordinates. A projection
    involves two coordinate systems. A point in the
    coordinate system of an object to be drawn is
    given by X(x,y,z) and the corresponding in the
    imaging system (on the drawing plane) is P(u,v).
  • If we use the standard right handed system, then
    x and y correspond to width and depth and z
    corresponds to height. On the drawing plane, we
    let u be the horizontal variable and v the
    vertical.

http//www.math.utah.edu/treiberg/Perspect/Perspe
ct.htmParallelx
9
Parallel Projection
  • The most frequent parallel projections are called
    elevations, oblique projections and isometric
    projections.
  • To illustrate, let's begin with an object in
    three space, say a simplified house.

10
Parallel Projection Oblique Projections
  • In oblique projection (Cavalier projection), the
    front view is undistorted, but the sections of
    the object are drawn up and to the right
    depending on how far back you go
  • Of course horizontal and vertical lines also
    preserve measurement.

11
How do draw an oblique letter
  • Start with a block letter that has ½ inch
    thickness
  • http//www.mmwindowtoart.com/wordart/lettering5.ht
    ml
  • Then choose a length on your ruler - I chose an
    inch
  • Off of every corner draw a line either off to the
    left or right - what do you notice about all the
    lines that go off the corners?

E
12
How do draw an oblique letter
  • Erase the parts that go through the letter
  • Then connect the parallels to the front pieces

E
13
Parallel Projection Elevations
  • The elevations are just the front, top and side
    views of the object.

14
Elevations of your letter
  • Look at your letter from the top

15
Parallel Projection Isometric Projections
  • The isometric projections are that class or
    parallel projections for which a round sphere
    projects to a round circle. The most common case
    is when measurements along the x-axis are plotted
    at 30, those along the y axis at 150 and the
    vertical axis.

x-axis
16
Task 2 Create a Parallel Projection
  • Use a straight edge for straight line and a
    compass for curves
  • Using the first letter of your name

Oblique
17
Task 2 Create a Parallel Projection
  • Use a straight edge for straight line and a
    compass for curves
  • Using the first letter of your name

Top view
Elevations
Front view
Side view
E
E
18
Task 2 Create a Parallel Projection
  • Use a straight edge for straight line and a
    compass for curves
  • Using the first letter of your name

Isometric
E
19
Obstacle Line Drawings
  • Where "line as movement" is curvilinear and
    softly dances across the page, "Obstacle Line" is
    angular, sharp and intense as it circumscribes
    the "obstacles" in the composition. These
    "obstacles" can be words, numbers, images, icons,
    etc. and are first collaged or painted on to the
    background. Since lines in this design close upon
    themselves, shapes are created.

http//www.mmwindowtoart.com/foundations/obstaclel
ine.html
20
Obstacle Line Drawings
  • Where "line as movement" is curvilinear and
    softly dances across the page, "Obstacle Line" is
    angular, sharp and intense as it circumscribes
    the "obstacles" in the composition.

http//www.mmwindowtoart.com/foundations/obstaclel
ine.html
21
Obstacle Line Drawings
  • Better example

http//www.mmwindowtoart.com/foundations/obstaclel
ine.html
22
Obstacle Line Drawings
  • Rules The lines never "blend" or touch each
    other. They are always parallel. They are as
    intricate in detail as their curvilinear cousin,
    depending upon the movement and alignments the
    designer conceives. The linear effect is like a
    maze and often results in op-art illusionary
    motions.

http//www.mmwindowtoart.com/foundations/obstaclel
ine.html
23
Task 3 Create an obstacle drawing
  • Use at least the following in your drawing
  • 2 numbers
  • 2 letters
  • 1 symbol/shape

24
Summary
  • Construct a parallel line
  • Oblique letter
  • Elevation of letter (top, side, front)
  • Isometric (2 pt. perspective)
  • Obstacle drawing (2 letters, 2 numbers, 1 symbol)

E
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