8C.5.1 Views of 3d Objects
You will be introduced to 3d objects as we begin looking at properties of surface area and volume.
Many people who work with blueprints, design or models have to try and show what a 3 dimensional object looks like using only picutres or 2 dimensional diagrams. Consider this computer generated model of a cartoon bird:
This design artist felt that it was very important to have 4 different pictures of the bird when working on it. Think about why there might need to be more than 1 view required to see this 3d object.
Resources:
- 5.1 Notes: Views of 3d Objects
- NCTM Isometric Drawing Tool (if it doesn't load, type in ctrl-F5 which will refresh your browser page. You may need to allow the java program to run on the site)
Assignment to be completed before coming to class:
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Answer the following questions:
- Why do you think we need to have the three main views of a 3 dimensional shape?
- What are some advantages and disadvantages of an isometric view?
Assignment to be completed during class:
- 5.1 Practice: p168 #3, 4, 5, 6, 7, 9
- Worksheet on 3d Views
Comments (20)
2.:)= You can see everything in relationship
2.:)= You can see everything in relationship
:(= Difficult to see how they fit together
2.(a) Isometric View Advantages include: (a) useful for visually representing a 3D object in 2D; and, (b) useful for giving a sense of relative dimensions and 3D scale.
2.(b) Isometric View Disadvantages include: (a) Can produce perception distortion; and, (b) Depth and altitude are difficult to judge.
2. The advantage of an isometric view is that you can see the overall look of the object. However, it is harder too draw the angles.
2. Some advantages of an isometric view are that it helps bring your shape to life and makes it more realistic. It can also show more views at a time than a normal drawing would. Some disadvantages are that it can be difficult to scale and draw accurately and sometimes maybe be confusing to see and understand. And you cant see all the sides at once so if you needed to see the back of the shape, it wouldnt be helpful.
A advantage of an isometric view is that you are able to see what each idividual side looks like (top,side,front). A disadvantage of an isometric view is you are not given a true 3d image without interpretation. It can also be confusing putting the shape together.
2. some advantages are you can see the 3D image in what looks like 3D and see its height, width,and depth. the disadvantages are that you can not see all the sides of the object.
Some advantages of an isometric view is that you can see exactly what the shape would look like in real life and that it can be understood more quickly and easily.
2.The shape sometimes looks distorted and it's hard to calculate it's volume. But isometric view can be helpful because you can see more sides in only one picture.
Question 2: Some of the advantages of using isometric views are that they help you to picture the exact shape in your mind. It's also a way of representing a 3D object on a 2D piece of paper. Some disadvantages of using isometric views are that you can't see on dot paper, if there is another part to the shape on the back of the shape shown. Also there are some shapes you can't draw when using isometric dot paper such as round objects like spheres or any other object with round edges.
2. Some advantages of an ismoetric view are that we can see measurements and the sides and faces very clearly. A disadvantage is that sometimes it can be hard to picture a complex shape becasue we can not see the different dimensions clearly.
Why do you think we need to have three main views of a 3 dimensional shape?
I think it is important to have three main views to a 3D shape because if you only see one view it would be harder to find the length, width and height of the object. For example, you have a bird and you see it’s front only. From that position that is a 2D object. How do we know how big the bird is? (It’s width) How do we know what the size of his head is or his tail? We wouldn’t be able to find all this information with just one picture. Factories that produce toys are not hand made and the computer needs to know height, length and width of the toy or it would just be a picture on a page.
Question #2:
What are some advantages and disadvantages of an isometric view?
Advantages and Disadvantages of an Isometric Shape:
Advantages
I. Can find the width, depth and height
II. You see the object in full form. You do not need to picture what it will look like.
III. Easier to get a spatial perception.
IV. All faces, vertices and edges are clear.
Disadvantages
I. You only see from the corner of the drawing.
II. Cannot see the back of the shape.
III. The drawing sometimes is not very clear.
IV. Can be hard to draw.
V. Not a very good perception on how big a part of the shape is.
VI. Harder to find symmetry.
Q2: Advantages:
-Easy to get measurements for height, length and width
-Easier to calculate the volume
Disadvantages:
-More difficult to tell what the object looks like when all the sides are put together
We can not determin all the sides of a 3D shape if there is only one dimention. The three main views are depth, width and height. This is what makes us see 3D. Without one of these dimentions it now becomes 2D to our eyes. This is Why we need three main views.
An advantage of an isometric view is: That you can easily picture the image as an object.
A disadvantage includes: That the back of the object remains unknown.
2) An advantage of an isometric view is you can see very accurate measurements and a disadvantage is that you can't see the whole object at once.
2.Advantage: you can see three sides of the shape
Disadvantage: you can only see one part of the shape
you need to see all 3 sides or else you wont be able to see how wide/long/high something is
and the advantage of having an isometric view is so you can see the surface area really quickly.
oh and for a disadvantage some parts of the shape aren't visible from your point of view.
I think you need the three different veiws because if you don't have all three its pretty much impossible to get the right 3d image in your mind. A advantage is that its one of the easiest ways to get a 3d picture in your mind and shows different veiw effectivly, but a disadvantage is that sometimes when your working with a complicated object, it may get hard to get the right idea.