Here are some downloadable pattern schemes.
Tillions come in five types - middles, borders, corners, runners and finials. In these diagrams, each little square represents a tillion and you will see that they have bold lines on 1,2,3 or 4 sides. The bold lines represent the joining sides. The different colours represent different patterns, so if there are four yellow “middles” and eight blue “middles” in a diagram it just means that you will need four of one design and eight of another. All these patterns are symmetrical, but of course you can make anything you like.
The Calculation of Options
The number of different ways each pattern can be made using a large box of Tillions is shown on these cards. This calculation is made by multiplying the number of available designs for each element of the design. So in the first pattern shown here there are six corners to choose from, then seven borders to choose from, then (as one has been used) six borders left to choose from, then eighteen middles, then seventeen. When all multiplied together there are 77,112 different ways this first pattern can be made. All of them will be pleasing.