Drawing planes at an incline

 In this lesson we learnt how to rotate a cube in 1 point perspective by both 45 degrees and 22.5 degrees, this proves to be a very useful method to find new vanishing points for all objects in the new perspective. To do this, first draw your cube in one point perspective, then on the bottom face of your cube, find the center by connecting the diagonals, the from there, draw a line through the vertical and horizontal to split your cube into sections. Then, from the four lines [north, south, east, west] move one point either left or right and place a dot, once joined together, you should have a diamond shape. Repeating this step on the top, then joining the lines, gives you a 45 degree rotated cube in perspective. By doubling the cross sections, you can shift the cube 22.5 degrees. It is to note however that this process does reduce the size of the cube slightly. Personally i found this technique a little tricky to grasp at first but once i had a few tries i found it much easier to understand, this is a technique i think i will utilize quite a bit as I have a lot of trouble trying to draw objects in a scene that are at different angles, i think this will make populating backgrounds look a lot more natural.

We then covered how using ellipse can help you to draw planes at an incline. To do this technique, you will first need to draw in a cube, I drew my cube in 2 Point perspective. Next you will need to double the bottom width of the cube using the fencepost technique that we covered earlier in the year, you will need to connect the diagonals on the face of the cube to find the centre, then draw a line from this point to the vanishing point. Then from the bottom corner of the face, draw a line through the middle and observe where it intersects the top line of the cube, then draw a vertical line down from that point to make a new cube. This will keep double the size of the bottom face whilst adhering to perspective accuracy. To double the vertical, it is as simple as measuring the length and stacking it, this then gives us a face that is 2x the size of the original. Following the same technique to split the face as we used before for the 22.5 degree face, link up the points to form an ellipse. This ellipse will give us a guide to decide how far we want the lid of our chest to open, draw a line at your desired degree. Draw a vertical line to the side of our chest and extend the tangent line through this vertical, this will give us a new vanishing point. Use this to then draw the rest of the lid, keeping the size accurate the the chest below. This technique can be used for a wide range of applications, and can also be modified to draw doors at an angle. This is a little difficult to understand at first, especially trying to figure out how to draw the ellipse, however with some practice i found it was much easier to replicate on the opposite side to my original sketch.