Addresses and Symmetries

Both IFS tables

generate the equilateral Sierpinski gasket.

For the first table, it is not difficult to see the length 2 addresses are those on the left.

For the second table, the reflection in rule 2 has an effect on the addresses, for example, the length 2 addresses are shown on the right.

To see how address 21 winds up in the indicated position, start with the solid triangle S

and translating by 1 horizontally. Click the image to return to the previous picture.

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