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