1. Transitive Tilings

I have uploaded the tilings that are to do with this question. The wording on this question is what is giving me trouble and thus not understanding the question.

a)On the each tiling mark with a small circle one centre of rotational symmetry from each translational orbit. Indicate the order of each rotational symmetry by a number written alongside the corresponding circle.

Could you somehow maybe explain this a bit better or show what it means on one of the tiles so I can at least do the other one.

Now I always get mixed up on what makes a tiling transitive. The only thing I can think of is in the first tiling when two of the little shapes are put together then I am able to translate that shape to anywhere on the tiling, whereas the second tiling I can't. Is this complete jiberish or am I going in the right direction

Any help would be greatly appreciated.

Thanx

2. Originally Posted by bex23
I have uploaded the tilings that are to do with this question. The wording on this question is what is giving me trouble and thus not understanding the question.

a)On the each tiling mark with a small circle one centre of rotational symmetry from each translational orbit. Indicate the order of each rotational symmetry by a number written alongside the corresponding circle.

...
I've modified the first drawing a little bit (see attachment).

I've marked the center of rotation by small blue circle. The light blue tiles and the orange tiles have the rotational order of 2 (if we are talking about the number of rotations until you get the original state again) and the green tiles have the order 4. But probably I've misunderstood the question completely.

3. Thanks I think I get it now

Bex