Tile search input

This facility enables one to search a data base of tiling patterns to find a specific pattern. This search is a comprehensive one which uses all the characteristics of the tiling patterns to locate a pattern.

To find a tiling pattern, fill in the properties you are sure about. Leave to ones you are unclear about blank (in the case of the symmetry group, give this as unknown).

The properties which are less important appear later in this list. Once you get to those of no interest, go to the end and click on the submit button.


Symmetry group of tiling pattern Show notes on symmetry groups
cm The tiling has no rotation symmetry, but one glide reflection and one reflection
cmm The tiling has a rotation symmetry of order two, two glide reflections and two reflections
p1 The tiling has no rotations, reflections or glide reflections
p2 The tiling has rotations of order two, but no reflections or glide reflections
p3 The tiling has rotations of order three, but no reflections or glide reflections
p31mThe tiling has two rotations of order three, a glide reflection and a relections
p3m1The tiling has one rotation of order three, a glide reflection and a relections
p4 The tiling has rotations of order four, but no reflections or glide reflections
p4g The tiling has a rotation of order two another of order four, two glide reflections
p4m The tiling has a rotation of order four, and is its own mirror image
p6 The tiling has rotations of order six, but no reflections or glide reflections
p6m The tiling has a rotation of order six, and is its own mirror image
pg The tiling has two glide reflections
pgg The tiling has two rotations of order two and two glide reflections
pm The tiling has no rotations or glide reflections, but two reflections
pmg The tiling has two rotations of order two, one glide reflection and one reflection
pmm The tiling has four rotations of order two and four reflections
other The tiling is centred or a frieze

Can the pattern be coloured with just two colours?
You should be able to see if this is true or not. To be true, an even number of polygons must surround each vertex.
Number of sides of regular polygons select all that must appear: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12:
The number of points to the first regular star polygon is and the vertex angle is: ° (to 0.5°)
The number of points to the second regular star polygon is and the vertex angle is ° (to 0.5°)
The tiling angles of which all the angles are a multiple is : ° (to 0.5°)
It is frequently the case that all the internal angles of the polygon are a multiple of an angle. For instance, polyominoes all have angles which are a multiple of 90 degrees.
The number of polygonal shapes excluding the regular polygons and star polygons. Tiles with a mirror line is: and pair of tiles with mirror image is: and tiles without a mirror image is:
The individual polygons that make the tiling can have reflective symmetry. If they do not have reflective symmetry, then the other polygon formed by its reflection may, or may not be in the tiling.
Edge-to-edge property
To be true, every straight edge of a polygonal tile is neighbour to only one other polygon, ie the edge is not split:
Text to be searched for :
You can use this to identify tiling patterns not by their geometric properties, but by text associated with the tiling. This text is the title of the pattern, the comment associated with it, and the textual comment associated with each reference to this tiling pattern. An example might be Alhambra to locate tilings from this well-known site.
Publication search
To find those tilings mentioned in specific publications used for this system, select the one required from the list below.
The complete list of references is here.
Photographs
Several Islamic patterns has a link to a photo. You can request patterns having such photos here. Default may or may not have photo.
Graphic Quality
A few patterns do not have a high-quality grahic (PDF). The default is to include such patterns in a search. Gold star graphics are the best Islamic graphics.
Presentation options Images Titles, no images Titles, references, no images

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