| The IFS {T1, T3, T4} has attractor the gasket
with vertices (0,0), (0,1), and (1,1). |
| Consequently, this matrix generates the gasket: no transformation is followed by
2, so T2 is never applied, yet all other combinations are allowed. |
|
| Setting to 0 all entries in any column produces the corresponding gasket.
Here is another example. |
| What happens if instead we set to 0 all the entries in a row of the matrix?
Think before looking here. |
| Can we generate gaskets using forbidden triples? |
| Forbidding four triples could be the equivalent of forbidding one pair, so try to
find four triples that have the effect of, say, making a gasket by forbidding transformation 4.
Here is the answer. |
| Can we build four gaskets by forbidding triples?
Here is the answer. |
|
| Test your ideas with the software. |
