There is no "rule" in TileDreams that the patterns need be symmetrical.   The beta-version had no programmed means for creating naturally symmetrical patterns.  Adherence to any type of symmetry is dependent upon the user.

Rotational symmetry

Rotational symmetry describes a pattern that repeats around a central point.  Most of the mandalas in the galleries are examples of rotational symmetry.  This reflects the personal style of the individual artists.

The different tile-sets in TileDreams allow you to design a rotationally symmetrical pattern in many different equal slices.  "Slices" refers to the number of equal areas comprising the total circle.  A compass has 4 slices.  A clock has 12.  TileDreams can allow you to easily create rotationally symmetrical patterns in many different possible equal slices.  Within a base factor, TileDreams can divide a circle into n X 4 slices, giving us 20, 24, 28, 32, and 36 as possible maximum number of slices within each base factor 5 through 9.  Any integer that can be divided evenly into the maximum number of slices for a base factor can be represented symmetrically, with a corresponding number of slices.

Reflectional symmetry

Reflectional symmetry describes a pattern that is reflected through an imaginary line.   Butterflies are natural examples of reflectional symmetry.

The ability to rotate groups of pasted tiles in the post beta-release version of TileDreams allows you to quickly and easily make accurate symmetrical designs.   Designs like these are possible in the beta-version, but much more difficult to achieve.

	Reflectional Symmetry This image was prepared with TileDreams 1.0 mirror-mode enabled, and a 17-tile block prepared .  The reflectional symmetry between the horizontal axis was saved, and the remaining two quadrants, symmetrical through the vertical axis, were discarded, leaving this final image.
	Rotational Symmetry This image was prepared using the 34-tile design from above.  This composite tile was pasted 14 times.  Each iteration was then rotated incrementally, and dragged into position, to produce the finished image.