Starting position for a tree search
You can find any tiling pattern in the system by answering a number of
simple questions. Eventually, the number of patterns satisfying the
properties you have specified will be small enough to display them
all - at this point you can select the one you want. If you make
a mistake with your selection, you can use back with your
browser to recover the situation.
Since this is the starting position, there are 2656 patterns to choose from.
The first question is to determine if the pattern is a repeat-pattern or
if it does not repeat. For repeat pattern, one can choose two positions
such that translating the pattern from one position to the other makes
no change to it. An example of a repeat pattern is:
The other possibility is that the pattern does not repeat. These usually means
that there is some special point which occurs only once. This special point
is usually at the centre of the pattern as shown. Alternatively, the pattern may
appear in a strip which will repeat in a vertical direction.
An example of a non-repeating pattern is:
Now you must choose: