MATH 122
TESSELLATIONS
ASSIGNMENT #1

The first column of this table contains the last names of class members, followed by columns for each of the five types of symmetry that a frieze pattern may possess. Locate the row containing your name and design ONE frieze pattern with the indicated types of symmetry. (For example, if your name is in the first row, you will design a frieze pattern that has translational symmetry, but DOES NOT have glide reflection symmetry, rotational symmetry, vertical reflection symmetry and horizontal reflection symmetry.)

Alternatively, photograph a frieze (in the Richmond area) that has the indicated symmetries. If you do this, please crop your photo appropriately and list the location (street address, etc.) of the frieze. Bring a printed copy to class.

Please make your pattern long enough so that it is clear how it continues indefinitely. (Four or five iterations of the basic pattern should suffice.) Your design will be graded on the basis of mathematical accuracy and aesthetic appeal. Ideally you should strive for a continuous pattern that is not obviously a single rectangular image repeated over and over again. (Here is a link to student work from previous semesters.)

NAME
Translation
Glide-Reflection
Rotation
Vertical Reflection
Horizontal Reflection
Bade
YES
NO
NO
NO
NO
Barber
YES
NO
NO
NO
NO
Barranger
YES
NO
NO
NO
NO
Boylan
YES
NO
NO
NO
NO
Brideau
YES
NO
NO
NO
NO
Carroll
YES
YES
NO
NO
NO
Clarke
YES
YES
NO
NO
NO
Considine
YES
YES
NO
NO
NO
Corneal
YES
YES
NO
NO
NO
Davis
YES
YES
NO
NO
NO
Dougherty
YES
YES
NO
NO
NO
Duffy
YES
YES
NO
NO
YES
Fouron
YES
YES
NO
NO
YES
Frenkel
YES
YES
NO
NO
YES
Garver
YES
YES
NO
NO
YES
Heneghan
YES
YES
NO
NO
YES
Hennessy
YES
NO
NO
YES
NO
Henker YES NO NO YES NO
Henry
YES
NO
NO
YES
NO
Kaymanesh
YES
NO
NO
YES
NO
Kwon
YES
NO
NO
YES
NO
Leahy
YES
NO
NO
YES
NO
Lear
YES
NO
NO
YES
NO
Lee, B.
YES
NO
YES
NO
NO
Lee, S.
YES
NO
YES
NO
NO
Liu
YES
NO
YES
NO
NO
Luu
YES
NO
YES
NO
NO
Macrae
YES
NO
YES
NO
NO
Montgomery
YES
YES
YES
YES
NO
Moore
YES
YES
YES
YES
NO
Mooris
YES
YES
YES
YES
YES
Nance
YES
YES
YES
YES
YES
Oppecker
YES
YES
YES
YES
YES
Preiffer
YES
YES
YES
YES
YES
Prater YES NO NO YES NO
Reddington YES NO NO YES NO
Seaburne YES NO NO YES NO
Swyers YES NO NO YES NO
Thompson YES NO NO YES NO
Webster YES NO NO YES NO
Koo YES NO NO YES NO