Welcome to the Patterns, Designs and Symmetry Homepage for Luke Grochocki


The following set of images were created by Luke Grochocki 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 6-fold rotational symmetry. Click on the image to enlarge.

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

A final example of an icon with 9-fold rotational symmetry.

Symmetric Fractals


A symmetric fractal with 3-fold reflectional symmetry.

A symmetric fractal with 3-fold reflectional symmetry.

A symmetric fractal with 18-fold reflectional symmetry.

Square Quilt designs


A square quilt of type p4.

A square quilt of type p4m.

A square quilt of type p4g.

Hexagonal Quilt designs


A hexagonal quilt of type p6.

A hexagonal quilt of type p31m.

More quilt designs


A quilt of type p2.

A quilt of type pgg.

A quilt of type cm.

Two color quilt designs


Two colorings of a two-color pattern of type p4'gm' (p4g/pgg).


A two-color pattern of type p4g'm' (p4g/p4).

Please note that all images shown on this web site are © Luke Grochocki 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