How to Cheat

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This is another play on the impossible triangle theme. I did this as a challenge to myself to see if I could successfully create this figure using 3D software. It is, by definition, a figure that cannot truly exist in 3D space so, in theory, it should nor be possible to create this with 3D software. It is achieved by means of a cheat. A 3D object is created as you see here on the upper right. It is created in isometric parallel projection, which means there is no  convergence of parallels, making objects appear the same size regardless of distance it is possible therefore to create a ‘join’ between the front and back of the figure by rotating it to a unique position. This ‘join’ can be made to appear co-planar even though this is, in fact, far from the case. The 3D was created using Trimble Sketchup.