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 |