These images show how each side of the tetrahedron will have different hairpins. The red side will bond to the yellow side, and as you can see they can form many shapes.
Optimising the size of the tetrahedrons
The smaller the tetrahedrons the stronger they are and hence the stronger the resulting formed 3D structure will be. However by decreasing their size you increase the amount of DNA you need to construct it which adds complexity, takes more time and is more expensive. Therefore it is important to find a compromise between size and amount of DNA used.
From reading various papers, such as this one we determined the maximum size you could make was a tetrahedron with side lengths of 75nm. This size maximised stiffness and strength while minimising the amount of DNA.
This graph shows the exponential increase of the number of tetrahedrons needed to bond various amounts of E.coli cells to the surface of the formed structure. Due to our time period and budget it would seem a lot better to use a smaller value of E.coli cells to be bonded (<50) to minimise the DNA sequencing.
If we wanted to bond different zinc fingers to the outside of the structure we would add different binding sites to the tetrahedrons. So each tetrahedron would have, for example 4 different types of zinc finger binding site, each repeated to increase the number of bonded cells. You would also need to change the proportion of binding sites if they have different binding constants. For example if a zinc finger had a binding constant half that of another then you would have to double the number of binding sites for that zinc finger (if you wanted the same number of zinc fingers for each type).
And finally the image shows how the more tetrahedrons are used to construct the structure, the smoother the resulting sphere will be.