Welcome to the Patterns, Designs and Symmetry Homepage for Ray Ogar


The following set of images were created by Ray Ogar in the Patterns, Designs and Symmetries class given in the Departments of Art and Mathematics by Professor Mike Field (Mathematics).

Symmetric Icons



The first image is an example of a Symmetric Icon with 2-fold rotational symmetry. Click on the image to enlarge.

Next an example of an icon with 3-fold reflectional symmetry. (Based on the `Mercedes Benz' icon in Symmetry in Chaos.)

An example of an icon with 3-fold rotational symmetry.

Another example of an icon with 3-fold rotational symmetry.

An example of an icon with 4-fold refectional symmetry.

An example of an icon with 5-fold rotational symmetry.

Icon with 5-fold rotational symmetry.

Icon with 5-fold rotational symmetry.

Symmetric Fractals


Symmetric fractal with 6-fold reflectional symmetry (Sierpinski Hexagon).

Two different colorings of a symmetric fractal with 4-fold reflectional symmetry.


Symmetric fractal with 7-fold rotational symmetry.

Symmetric fractal with 9-fold reflectional symmetry.

Square Quilt designs


A square quilt of type p4.

Two square quilt designs of type p4m.


A square quilt of type p4g.

Hexagonal Quilt designs


A hexagonal quilt of type p6.

Three examples of patterns of type p31m.



Two examples of patterns of type p3m1.


More quilt designs


Five quilts of type cmm.





A quilt of type p2.

Two quilts of type pg.


Please note that all images shown on this web page are © Ray Ogar and may not be reproduced without his written permission.
For more images and information, see Mike Field's web page.
For information on the Art Department courses, see the UH Department of Art web page.
e-mail: mf@uh.edu
Professor Mike Field
Department of Mathematics
University of Houston
Houston, TX 77204-3476