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Lesson
6: Drawing the Cube in Ortho, Iso and 3d |
FIG. 6a
(theCube)
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In lesson 6 you will be drawing a simple object
called a cube, a basic geometric shape. There is nothing
really complicated about this object except that creating
the Isometric model might turn your mind inside out
and then some. The use of ellipse's is fundamental
in isometric drawing to illustrate circles in their
true isometric perspective. It is the only object
where all the views are identical, symmetrical.
As I explain to most of my students that being able
to decode and decipher the views of object shapes
is an intelligence all its own, and as always practice
just simply makes us brighter and sharper.
There are many shapes in nature that are cubes and
sugar is one of them. In other courses in Drafting
we explore the more exotic shapes that even some virus's
exhibit making some of them virtually indestructible.
Some of these shapes have been discovered and used
with truss assemblies in bridge construction.
Connecting Your Learning
As you work your way through this lesson, you should
reflect on the following questions:
How did the cube get its name?
What is an ellipse?
What is an Iso ellipse in ACAD?
How will the cube model be created in 3d?
Why are 3 multi views redundant in this
lesson?
What is the rule of Minimum Views in
Drafting?
How many views are really necessary
to describe this part?
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The State of Arizona has assembled Drafting
standards to make sure that Instruction is thorough
and well thought out by the instructor. By clicking
on the hyperlink below will upload to your browser window
the entirety of these standards. The standards that
are addressed in this lesson are below the hyperlink.
1.0 USE BOARD DRAFTING EQUIPMENT,
INSTRUMENTS AND MEDIA.
2.0 DEMONSTRATE SKETCHING, LETTERING,
AND LINE SKILLS.
- 2.1 Demonstrate freehand sketching skills for drafting
applications.
- 2.2 Demonstrate lettering skills.
- 2.3 Demonstrate line work.
6.0 DEMONSTRATE GEOMETRIC CONSTRUCTIONS
- 6.1 Measure Geometric Constructions.
- 6.2 Develop Geometric Constructions.
8.0 APPLY BOARD DRAFTING SKILLS TO COMPUTER-AIDED
DESIGN/DRAFTING (CADD)
- 8.1 Demonstrate computer skills for a CADD system.
- 8.2 Create dimensional CADD entities.
- 8.3 Create 3 dimensional CADD drawings.
The State of Arizona has also assembled Math
standards and many of these apply directly to
the vocational subject area of Drafting. Drafting
is a very precise discipline and the use of mathematics
is integral to design and manufacturing. Below are
the math standards that are involved in this lesson
1M-P1. Compare and contrast
the real number system and its various subsystems
with
regard to their structural characteristics
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PO 2. Compare subsets of the
real number system with regard to their properties
(commutative, associative, distributive, identity,
inverse and closure properties)
1M-P2. Construct, interpret and
demonstrate meaning for real numbers and absolute
- PO 3. Solve real-world distance problems using
absolute value
- PO 4. Determine, among the solutions to a real-world
problem, which, if any, is reasonable
- PO 2. Define absolute value as the distance from
the origin
4M-P1. Interpret and draw three-dimensional
objects
- PO 1. Sketch prisms, pyramids, cones, cylinders
and spheres
- PO 2. Classify prisms, pyramids, cones, cylinders
and spheres by base shape and lateral surface shape.
- PO 3. Recognize the three-dimensional figure represented
by a two-dimensional drawing.
- PO 5. Make a model of a three-dimensional figure
from a two-dimensional drawing and make a two-dimensional
representation of a three-dimensional object (models
and representations include scale drawings, perspective
drawings, blueprints or computer simulations)
4M-P4. Deduce properties of,
and relationships between, figures from given
assumptions
- PO 1. Find similarities and differences among
geometric shapes and designs using a given attribute
(e.g., height, area, perimeter, diagonals and angle
measurements)
- PO 2. Identify arcs, chords, tangents and secants
of a circle
- PO 3. State valid conclusions using given geometric
definitions, postulates and theorems
- PO 4. Represent pi as the ratio of circumference
to diameter
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Lesson
Objectives
By the end of this lesson you should be
able to:
1. Draw the orthographic views of the
cube and dimension the model.
2. Identify the isometric angles used to create isometric
views (30, 90 and 150 degrees)
3. Scale down the orthographic view and create an Isometric
view.
4. Adjust the dimscale overall and linear to reflect
full scale dimensions in the ortho/iso drawing.
5. Create the 3d model of the dovetail finger from the
top orthographic view.
6. Working with colors for visualization enhancement.
7. Maintain approximate proportions using "boxing
in" also called the "Glass box Technique"
Key
Terms
"click
on the key on any of these terms and it will hyperlink
to the course glossary" |
The
6th model you will be drawing is called the cube and it
is a simple model where all the views are identical: front,
top and side views. The illustration of the cube isometrically
with circles carved through it is an impressive simply shape
when drawn in this perspective. The cube is apparent as
a shape in nature in crystal form.
Insert
your Lesson 6 media disk into your CD drive and begin listening
to the avi file: lesson 6a. You can open up both software
programs: ACAD and your media player at the same time and
toggle back and forth between screens, and be able to draw
and listen simultaneously. Below is an example of what your
completed drawing should look like. Pay attention to details
so you can obtain all your points for this assignment. It
is always better to get it right the first time, especially
when you have what the finished product should look like.
I will mention in the media files about the Dim-scale of
the dimension text. I have made the text larger for you
to see in this web page but it is not the size you will
have your text in the completed assignments.
The next part of Lesson 6 is creating the
Isometric view of the cube. This is where our talent begins
to develop in conceptualizing what this model really looks
like after using the trim command accurately to illustrate
this model in its true Isometric form. In this lesson you
will be scaling your orthographic views and adjusting the
linear dimscale accordingly. Common sense will say if a
scale something to half its size the dimension scale needs
to be doubled. I will explain this in the lesson disk titled
Lesson 6b. The following is what your completed assignment
should look like when completed.
Please Insert the Media Disk labeled Lesson
6 into your CD drive of your computer and begin listening
how to draw the 3d model of the cube. The lesson avi is
titled Lesson 6c and below is an example of a completed
accurate model of the Cube. You will submit your drawing
in South East Isometric. This is what your completed 3d
assignment looks like.
*Note:
The Lessons are best viewed with real player, or Windows
Media Player 9 for 2000 Professional
and Version 10 for XP.
After
completing each lesson attach your drawing to an email and
send to your Instructor's email.
email:
losimilar@yahoo.com
Your
Text Book and Reading Assignments
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Text:
Autocad Drafting by
Grout, Resetarits and James
Use
this text as a reference to the media disks that you
are using for the Semester.
Lesson 6 assessment comprises:
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Lesson 6a submitted as a dwg. file
(10 pts.)
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Lesson 6b submitted as a dwg. file.(10
pts.)
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Lesson 6c submitted as a dwg. file.(10
Pts.)
Rubrics for Grading: The drafting standards
for assessing the quality and accuracy of your drawings are
as follows: Neatness, Accuracy and Lines and Lettering. One
half of one point (.5) will be taking off your score in relation
to NALL.
Submit by email attachment all of the
above lessons as dwg. files and send to your Instructor whose
mail address is. losimilar@yahoo.com
Your Instructor will grade your drawings
within 24 hours and email you back the grade/assessment of
your work. You should take allot of pride in your work.
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