T

#### Talla

##### Guest

The problem I had was that I wanted to create a chessboard for a project and have it in a diagonal position with one corner closest to the viewer. This meant that I had to create the board in two point perspective as regards to 1 point perspective where everything is diminishing in one direction only (think of a straight steet running away from you).

I have put some illustrations together showing the way I cracked this 2 point perspective problem. To assist me in putting this together I used an old CAD package I have to enable me to keep everything accurate and smudge free!

View attachment 26090

The illustration above is my basic framework giving me my central vertical plane, my veiwing horizon and my two vanishing points.

Now I choose a point that gives me two squares depth (the reason for this will be explained). You can make this as big or small as you require within the framework

I now mirror this point across to the other side.

I then project a line from the vanishing points to intersect with my previous points.

I now have a square shown in two point perspective but remember this is actually the basis for 4 squares not one the reason being is that I need to find the middle of my square to be able to proceed.

To find the middle of the square I run a line from one corner to its opposite corner (remember that the centre running horizontally will not be dead centre of the square but more towards the back of the square as the perspective is already having an effect). I need to find the centre for two reasons ... 1. to get the extents of my first square (remember we started with a two square gap) 2. to project the extent of my third squares

I have my 4 squares now created and I am in a position where I can project the extents of my third row

By projecting a line between the corners of my top most square I project the line to each edge to give me the location for the end of the next row of squares

I again project a line from the vanishing points to the locations for the end of the third row for each side and ... voila we now have 9 squares!

I continue this process until I have 64 squares (8x8 matrix). One word of warning ... when projecting the next row be careful of the square (diamond) that you choose to project a line between corners to the edges as it starts to get pretty tight in their. If the width of the square looks wider than your last one then you are one diamond too high and need to relook at what you are projecting!

This is the Chessboard with all construction lines removed with the exception of the horizon and vertical planes

Two examples showing different perspectives both done with this method.

I intend do incorporate a chessboard similar to the one created above. I have done this in a CAD package as a DXF file so I can transer it to my Silhoutte for cutting on masking vinyl. If doing this by hand you need to be as accurate as possible as errors seem to get amplified as you go through the process.

Hope you enjoyed this and found it useful :kiwi-fruit:

Andy