>> This is a tutorial on Lab Number Five,
Isometric Pictorials.
Let's start the problem one.
We're given the front, the top front and right side view
of the solid, and we're also given an isometric grid,
and what I've done here is I've sketched using construction
lines, the light blue lines, the lines that are shown in the front view.
So this is the image on the frontal plane as shown
in the front view here, and I've done a similar thing
for the right side view.
Here's the right side view and I sketch what I see
on the right profile plane.
And similarly for the top view,
and from this projected images on the three principle planes,
we're going to trying to reconstruct the isometric.
Now let's start with the plane
in the front numbered one, two, three, four.
So I've located those
in the right side view one, two, three four.
One, one, four here, and two, three here based
on the position along the horizontal line
with the front here, which means
that this is 1 in the isometric two, three, and four.
All those four points are exactly on the frontal plane
as illustrated in the top view and the front view.
So I just try connecting one, one, one and two,
two and three, and three and four.
So I've located that plane, one, two, three, four.
So I've, I'm looking for the isometric, plane by plane.
Next, I'm going to look for another plane.
This one here, right, one, two, three, four,
I'm going to level this five and six.
Looking for five and six in the right side view,
this is the only possible location of five comma six.
They correspond at the same point.
Because they have to be the same plane as one, two.
So this must be five and this must be six in the top view.
Now based on the width, depth, and height positions,
these two points on the isometric must be five
and six right here, and five should be connected to one
as shown in the figure, five connected to six,
and then six connected to two, and that agrees
with the incline plane, the edgeview of inclined plane, one,
two, five, six as shown in the right side view.
Now, we can go to this skinny rectangle in the top view,
and I think it's pretty clear
that this skinny rectangle is all the way to the top as shown.
I think shown in the front view and the right side view.
Now, next thing I'm going to do is look for the,
this incline plane here or this incline line here
as shown in the front view.
So that's six, OK.
That means that this, there's a point six,
six prime, six prime behind it.
This must be seven.
This must be seven in the front and seven prime in the back.
OK. So this must be seven and seven prime in the isometric
as well as six prime then.
I can connect six to seven, six prime to seven prime, OK.
And seven to seven prime,
and that skinny incline rectangle is consistent
with what's shown in the front as well as the other two views.
Next thing we're going to do is what on this plane here
that is shown in the right side view.
I'm going to call this three, three prime.
So there's a point that are directly behind two prime
and three prime directly by two and three.
So locating them the front and the top as well.
So the two must be, the two prime must be directly two prime
and directly below six, and the three prime is directly behind
three in the same depth location as seven.
So this must be the two prime,
and this must be the three prime.
OK. So now I can connect three with three prime, OK.
Do the same thing, connecting two to two prime.
OK. Then six is directly above two prime.
Then two prime and three prime are connected, and, finally,
three prime and seven are connected.
So that incline plane, two, two prime, three,
three prime is actually at the edgeview in the front.
It's an incline plane.
It's perpendicular to the frontal plane.
And I think that's about it.
Hopefully, that makes sense.
Now going to the last problem is a little more complicated,
and it might be more difficult to visualize.
So for things like this, it's even more important
to not initially visualize what it looks like,
but work on a claim by claim, point by point.
So we've labeled here claim one, two, three, four, five, six,
seven, eight, nine, ten, and located one, two, three, four,
five, six on the right side as well, based
on their location along the height.
Now, the top view location of those points can be looked
at by the projections and also the projection along the
miter lines.
So the miter line will allow us to.
So, for instance, from point one, one must be along
that according to the right side view, one has to be along
that projection to the, which means that this is .1.
Then let's go to .2.
Point 2 is directly above here, but according
to the right side view, it's in the same depth as one.
Therefore, this is .2.
Then we connect one and two, and take notice, and doing this,
I'm simply locating points based on the depth and the width
that are given in the front and the right side view,
and I'm not visualizing how the object looks.
Going to .3 now, three is directly above that line.
Then three, according to the right side view is here.
Therefore, this must be .3 right here,
giving us Point 3.
Connecting two and three.
So, again, I'm locating points systematically based
on their projections.
Going to four, this must be the location of four based
on the width and the depth,
and then I just connect three and four.
OK. I am not visualizing what the object looks like right now.
Just connecting the, this is five.
The depth of five, according
to the miter line should be over here.
So that must be five.
Connect four and five.
Go to six.
Six is in the same depth as five.
So this must be six.
OK. Connect five and six.
Then go to seven.
Seven is directly all the way to the right,
but the projection of seven is here.
So that's seven from the right side.
That's the depth. Connect six and seven.
Going to eight, it's also to the right, but it's now also
in the front according to [inaudible].
Connect seven and eight, and then nine is all the way
to the left, but it's also on the front.
So this is nine connect.
Let's connect nine and eight.
OK, and then let's go to ten.
The projection of ten is here.
OK. So that must be ten.
Nine and ten, and then connect ten and one,
and we're done with the plane.
OK. I can repeat the same process, OK,
to find the location
of the other similarly shaped plane in the back.
It's just a mirror image of what I'm seeing, OK.
So it's going to look something like this.
And so six [inaudible].
So that's the mirror image of what we have in the front.
Then let's just connect them because I know based
on the right side view that those points are connected.
OK. So it's not shaping, taking shape.
And then there's only a couple of lines that are in the same.
This line here, the hidden line shown
in the right side view, OK.
Three, two, three, two, three, five,
and four to four prime will be shown as hidden lines
in the top view because they are being hidden by planes
that are higher, and that's about it.
Now, once you have this, you can now go and start plotting
on the isometric grid.