When you have a flat shape with specific dimensions it is possible to transfer this shape onto a perspective plane through the following technique called the cone of vision. The resulting shape in perspective will have the same dimensions as the original flat shape that you started with.
The sequence is as follows:
When you have a flat shape with specific dimensions it is possible to transfer this shape onto a perspective plane through the following technique called the cone of vision. The resulting shape in perspective will have the same dimensions as the original flat shape that you started with. The sequence is as follows:
#1 - Draw a perfect circle using the technique of drawing a square first, finding the center point, and creating the four separate arcs to complete the circle.
#2 - Draw a square with four equal sides in the upper right or left sections of the circle. Keep in mind that the closer you position this square to the horizon line the closer to the viewer the square will be in perspective. The higher it is above the horizon line the farther away the square will appear in space. To draw a tile ceiling you would draw the flat square below the horizon.
#3 - Draw lines from each of the four sides of this flat square to the bottom center point of the circle.
#4 - At the point where each of these converging lines cross the horizon line draw a vertical line down to a point below the horizon line. The longer these lines, the higher the view you will create for the tile floor. The shorter these lines are the shallower or lower the angle of view will be.
#5 - Connect the descending vertical lines from B and D with a horizontal line. Do the same with the descending vertical lines from A and C. Connect A and B on the left and C and D on the right. You now have a square in perspective. If you repeat this process you can create a line of tiles moving forward from the vanishing point.
#6 - Draw two converging lines from each back corner of the square to the center vanishing point. This will give the basis for creating an entire floor in scale if you measure off equal increments from right to left. If you repeat this process you can create a line of tiles moving forward from the vanishing point.
Take Note: You can also check a square you have already drawn by reversing this process. To check your drawing, verify that the diagonal lines extending from the vanishing points on the right and left side of the cone of vision intersect the corners of the square.
Also, check to make sure the right and left edges of the square recede back to the vanishing point.
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