 First question I was just wondering if you have gotten the handle on perspective views if you have gotten the perspective on perspective views. The best way to get a handle on perspectives is to practice. So, if you practice you will get better two things that I would want to tell you one is homework number 8. If you guys have the manuals in front of you just check it out homework 8 is slightly different. So, it is a competition. So, this is what the thing is that you are going to be drawing think a two point perspective of your hostel room and that is the fun part of it is that right. So, that two aspects of it one is voluntary voluntary means you can take a break and the second aspect is competition. So, those who are interested they can draw a two point perspective of the hostel room just imagine that you are standing you know just about at the door of your room whatever you see make a mental picture of that and draw a perspective ok. The due date is again one week after your lab 8 and what I will do is I will request the tutors to choose the best drawings from each section and then we will sit down and we will choose the best maybe 1 2 or 3 and of course. So, there will be a little prize that is one thing and second thing is a little request that from now on I mean of course, perspectives would probably have been a little difficult for you, but from now on things are going to get even more difficult. So, we are going to get into space geometry lines planes intersections development ok. Of course, you guys are free to miss classes, but if you miss classes you know you will be at a loss. So, my request to you so consider that as an advice as well as request my advice and a request to you would be to come to the class listen to the lecture if things are not clear to me make me explain it as many times as you want. So, that you can understand it and I will be happy to do that because if you miss a class then you know you lose something you do not feel like come to the next class and then you know things happen. So, this something that I just wanted you to caution about. So, things are going to get a little difficult and challenging and to be able to understand things better come to the class is that a single point two point it is a two point. So, but think about that think about that maybe you can think about that yeah. So, a little more on perspective views this is an example that you are going to be solving in your lab. So, I just want to go through the solution once there are going to be a lot of lines in here. So, bear with me I will try to do my best to explain things alright. So, what is given to you is the plan view of the object and the profile view of the object and a bunch of lines. So, you have the picture plane which is passing through one of the edges of the object p p 20 millimeters below that you have the horizon line about 90 millimeters below this vertex of the object you have the ground line over which you have the profile view this way you are standing and this way your eye level is and 5 millimeters below the ground line you have the station point. So, these things are given to you once these things are given to you you can maybe think about starting to draw perspective views. Now, about this angle and this angle of course this angle is 90 degrees. So, you get a nice perspective if you keep this combination as 60 30. So, length may be around 30 degrees this is more otherwise 60 degrees and the other angle as 60 degrees or 30 degrees depending. So, it is a nice idea because you get a very nice perspective of that alright. So, you have seen this. So, this is the isometric view of the same object that you have drawn in one of your previous labs I am going to be keeping this picture. There is a slight modification rather simplification that I am going to be working with I have replaced this part by a rectangle or rectangular region or a block. So, that we can understand the drawing of perspective in a little better way otherwise this thing would remain the same. So, this thing is a block this thing is a rectangular block, but this thing remains the same over here and what I want you to do is try to understand the difference between the isometric drawing and the perspective drawing as we you know continue with that one alright. So, this is where the station point is I am letting go the numbers and may be be with you I will stay here. So, I can also look at these slides the lines am I blocking you view can you move maybe with the back let go the numbers first step is to figure out the left vanishing point and the right vanishing point this for the left this for the right you project the object far away along this direction on the horizon this for left vanishing point on the left LVP on the right vanishing point on the right. Let me go back starting from the station point look along this direction at an object at infinity get the image of that on the picture plane which is going to be a point project that on the horizon line this would be the left vanishing point likewise if you do the same thing on the right look along this direction at an object at infinity get the image of that object as a point projected downward on the horizon line you will be getting the right vanishing point first step with me good now what are the three rules lines which are parallel to the perspective parallel to the picture plane remain parallel one full lines which are not parallel to the picture plane they vanish lines which are on the picture plane they stay in true length identify the first step is identify the edge on the object which is on the picture plane look at this vertex here look at this point. So, the edge going into the screen will be the edge which will be in true length ok once you have identified that from the station point view that edge ok that edge would correspond to this here make that edge now with that edge made these edges are going to be vanishing towards the left vanishing point these edges they are going to be vanishing towards the right vanishing point alright left vanishing point the right vanishing point let us focus on this edge from the station point in the top view get these slight information ok the image of this vertex will be formed over here projected downward you will be getting the edge in between these two rays that vanish towards the right vanishing point here with me ok. So, once you have this edge you can get this block made pretty easily ok now of course you would not see this edge because it is not there, but how about this you see this alright where will you see that on these two rays ok what you do station point look at this vertex get the image of this vertex on the picture plane project that image down ok. So, you will get this edge here right over here in between these two rays ok the same thing for this vertex here get the image on the picture plane project it down and you see this with me straight forward straight forward. So, you have this part ok now how about this feature of the object here all lines at 60 degrees from this part of the picture plane they will be vanishing towards the left vanishing point now ok. So, if you are looking at this edge over here and this edge over here they will be vanishing both towards the left vanishing point with me ok alright. So, both from the top as well as from the bottom now this is the important part this guy here in the profile view where is it where is that in the plan view over here right now would any part of this be on the picture plane no will you be able to get the true height of that will you be able to get the true height of that probably not ok, but there is a little trick that you can use to get the true height of that ok. So, you can just imagine you can just imagine that this guy comes down over here. So, that one of the vertices of this guy is on the picture plane correspondingly get the height of this thing on this line ok because it is this line where you are going to be getting all heights in true lengths no yeah ok. So, imagine that this guy has come down over here imagine that this guy has come down over here. So, that this vertex is coinciding with this vertex ok working ok I will try to speak without the mic for a while can you hear me good. So, are you with me with regard to this now look at this edge where is it going to vanish there what do I need to do now I use the side information I look at the back vertex of the object in top view get the image of that on the picture plane project it down ok what this edge is that is this edge in perspective ok how about the height are you with me on this so, get this height. So, let me go back. So, what I have done is a little trick I know that if I stay on this vertical line if I stay on this vertical line I am going to be getting true lengths can I have some you know it is bad you should share all right. So, what I do is I will do a little trick I know that anything on this line I will get in true length. So, I will move this feature over here. So, that one of these vertices coincides with this vertex ok. So, that means that if I take if I use the profile view and get the height over here what I can do is I can knowing that it is going to be vanishing at the left vanishing point I draw this ray and then I use the side information look at the back vertex get the image projected downwards this would be the edge in perspective corresponding to this edge and this would be the height in perspective corresponding to this height. So, first of all I look at the second vertex get the image projected down and then looking at these edges I know that they will vanish towards the right vanishing point both then if I look at these two vertices essentially I am going to be using the side information if I look at these two vertices I go up get the image of that vertex on the picture plane projected down likewise this one projected down I will get this block which corresponds to this guy over here fine. So, first of all same trick same trick to get this part of the object use the profile view project the height on the true length line draw rays that vanish towards the left vanishing point and the right vanishing point. So, this is the height that I am going to be getting here this is the slant part of the surface that I get I get this height I get this slant part not good. So, far or maybe I can go back and I can explain no stay with me here you know it is not your fault because even I am getting confused stay with me do have this point on in my perspective figure do have this point in my perspective figure do I where is that this guy over here I do not have it how do I get it I know that this point corresponds to this point right I use the true height information take this ray towards the left vanishing point this intersection point is that right this one over here would correspond to this and this. So, once I have this intersection point ready I look at this edge over here this edge would vanish towards the right vanishing point having done that I can draw this edge this vertical edge and the vertical edge on the right here and then I can join this and this point to get this slant surface good how do I get these points stay with me I have gotten this edge now I have gotten this edge. So, there is a trick that I can use what I can do is I can project these two edges right. So, once again I can project these two edges onto this edge I get these two points over here I look at one of those points from the SP in the top view get the image I look at. So, this point over here. So, this point over here comes down over here right ok likewise I look at this point I look at this point from station point this is the image of that point on the picture plane I project it down over here and then I join these two points and I get these two red lines corresponding to these lines over here and over here fine with me which horizontal line there are many horizontal lines there are. So, many lines that yeah come yeah yeah no you know why why absolutely absolutely. So, this portion cannot be here because this portion is behind the picture plane. So, this horizontal line here is just to take the true dimension of this on this true length line all right. So, stay with me this confusing there will be lot many lines right. Now, I am looking at this point I am looking at this point here and I am going to be taking the projection of the image of this point from here which is this here I know that this edge vanishes towards the right vanishing point I draw this edge and the intersection of this ray with these two edges will give me this edge can I repeat ok so far. So, what I have done what I have done is I have located these two edges in perspective fine I have to locate this point and this point ok how do I do that I go to my station point which is where I am I look at this point get its image on the picture plane project it down where on this edge ok I will get this point over here likewise I look at this point get the image on the picture plane project it down I will get some point over here. But, I do not need to worry about that because I already know that this edge is vanishing towards the right vanishing point. So, all I need to do is draw a ray from this intersection R B P which is what I do here fine yeah of course you can there are multiple ways doing that of course you can this is one of the solutions ok. So, this part this part of the object is in perspective now yeah needs a clap come on now is it possible is it possible for you to draw the right hand part right inside the object in perspective no want to see things messed up yes which one why yeah yeah yeah stay with me stay with me. So, one of your peers says that this object is not complete because there would be a vertical line and there would be another line and there would be another line three lines missing fine do not worry about that this is just for check this is your vertical line. So, in your slides you can go back and refer to the blue lines and this is just for verification do not worry about that vertical line that if you draw a ray joining this point and the right vanishing point the edge below this edge that lie on that ray extend that and then you will be getting the third line all right. So, here comes the messy part of the object what am I doing here from this vertex from this vertex I am drawing this edge in perspective right there you go and then the edge on top of that it is getting mess here not visible you know it is going to be interesting if when you are going to be working on this is going to be interesting it is going to be too many lines too many lines too many lines too many lines all right. Now, I want you guys to be attentive and just see just see what is happening on the right hand side of the object from the station point from the station. So, the idea is that if I am able to get a perspective sketch of this portion of the object I think I will be ok. So, what I will do is I will first of all simplify this thing to be like a block once I get this like a block I can then try to get this semicircle and the circle later the first thing is for me to get this part the object as if it were a block let us do that I look at this vertex from the station point project it downwards this what is going to be lying on this edge this edge in perspective is this edge right there I get this part. Now, look at the point at the back this point over here this is the intersection point which needs to be projected downwards this intersection point is what we are interested in and as I said I am looking at this part as if it were a block. So, I draw three blue lines look at one vertex take it down extended extended look at the other take that projection down extend that I get the block I get the block right. So, once I get the block then getting the circular feature is not going to be difficult we messy all right it is not going to be difficult this is your centre line. Now, what I am doing here is this I am going to be drawing a bunch of lines parallel to this what I am going to be doing is I am going to be drawing a bunch of lines parallel to this in this region. So, these lines are going to be intersecting this arc and I am going to be doing the same treatment to those points of intersections as I have done for all the vertices of the object this is what the generic idea is wait and watch line in the middle wait and watch got that line getting the points of intersections I guess got that line got the centre line got the arc got this part of the arc one solid line should not be there should not be there should not be there should not be there which one is it this one ignore it yeah I should not be there ok there is more mess pertaining to the circle from where to where all right. So, let me have these guys over here and then maybe I will explain it now this block was fine this block was fine what I wanted to do was to get the arc in perspective ok. Now, how would I do that or how would I be able to do that I draw a bunch of lines which are parallel to these lines get the intersection you get the intersection between this arc and these lines I will get a bunch of points set of points a group of points and I am going to be dealing with those points the same way as I have dealt with all the other points that is what the basic idea is wait and watch the mess pertaining to that circle over there again the same thing I am going to be enclosing this circle within a box get the box in perspective get the intersection points and eventually get the circle wait just watch run a little fast working all right bottom line bottom line hold on hold on come on stay with me stay with me once again the idea is to enclose this circle within a box get the box in red over here in perspective make that circle intersect with a bunch of parallel lines get the points of intersection perspective draw the corresponding thingy and of course, there would be a there would be an arc over here if you think there would be now this is what is what you should see at the end of your lab 8 I wanted to cover 3 point perspective, but we do not have much time and I have to wind things up in another 4 and a half minutes just an animation of the 2 point perspective of a staircase arc ain't easy. So, this probably answers your question. So, depending on the height of the object you have it is below the horizon line you are going to be seeing the roof of the object if it is above the horizon line you are going to be seeing you will not be seeing the roof of the object. So, essentially all these guys are this is the horizon line all these guys are below the horizon line and that is a reason why you are seeing these flat surfaces above the horizon line those flat surfaces are gone. So, it has been 8 months since you have cleared J E 8 months yeah almost more than 10 months alright almost 10 months since you have cleared J E fine this is where you start in your careers in your respective careers this is where you start this is where you are 10 years done the line when you come and meet me ok I would want to see you way up there in your lives thank you.