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==News==
===Extra Credit oppportunity=== 
There's an exhibit of work by Marcel Duchamp at the SLU Museum of Art (on Lindell, across from Pius library).  Visit the show for some extra credit.  There's one catch - the show doesn't open until May 6, so you have to go May 6, 7, or 8 (when our class ends!) to take advantage.  For more information, visit http://www.slu.edu/x29638.xml .

===Final Project===
The [[Art and Mathematics Project]] is due '''Friday, May 8''' during our final exam period.  Your preliminary work and written plan are due '''Wednesday, April 29.'''

===Third Exam===
The third exam is during our final exam period, Friday, May 8, from 12-1:50.

===Office Hours===
Finals week office hours Tuesday 10-12, Thursday 10-11, or by appointment.

==Homework and Reading Assignments==
<ol>
<li>Due Wednesday, January 21<br />
Read {{VOS}} pg. 1-15.<br />
Read [[M.C. Escher]] and [[Introduction_to_Symmetry]].<br />
Do [[Rosette Exercises]] # 2-6,8,10,11,12,14,16,19
</li>
<li>Due Friday, January 30:<br />
Read {{VOS}} pg. 15-31.<br />
Read [[Frieze Patterns]].<br />
Do [[Frieze Exercises]] # 1-9
</li>
<li>Due Friday, February 6:<br />
Read {{VOS}} pg. 31-44, 77-78.<br />
Read [[Wallpaper Patterns]].<br />
Do [[Wallpaper Exercises]] # 1-7, 9, 10
</li>
<li>Due Monday, February 16:<br />
Cathedral Poster (for your group).
</li>
<li>Due Friday, February 20:<br />
Read {{VOS}} pg 106-117, 254-260<br />
Read [[Introduction to Tessellations]].  Read [[Tessellations by Polygons]].<br />
Do [[Polygonal Tessellation Exercises]] # 2, 3, 4, 5, 12, 13, 14.
</li>
<li>Due Friday, February 27:<br />
Read {{VOS}} pg 236-240, 266-274<br />
Read [[Tessellations by Recognizable Figures]].<br />
Do [[Polygonal Tessellation Exercises]] # 6 - 11, 15
</li>
<li>Due Wednesday, March 18<br />
Read {{VOS}} pg 91, 248-254<br />
Read [[Similarity Transformations]].<br />
Do [[Self-Similarity Exercises]] # 1-14
</li>
<li>Due Wednesday, March 25<br />
Read {{VOS}} pg 241-247<br />
Begin reading [[Spherical Geometry]].<br />
Do [[Spherical Geometry Exercises]] # 1-8,10,12-15
</li>
<li>Due Wednesday, March 31<br />
Finish [[Spherical Geometry]].<br />
Read [http://www.math.dartmouth.edu/%7Ematc/math5.geometry/unit6/unit6.html Platonic Solids], by Paul Calter.<br />
Do [[Spherical Geometry Exercises]] # 18-27, 29-32, 34
</li>
<li>Due Wednesday, April 22<br />
Read [[Hyperbolic Geometry]] and [[The Three Geometries]].<br />
Do [[Hyperbolic Geometry Exercises]] # 1-13, 16, 18, 19, 21-25
</li>
<li>Due Friday, May 1<br>
Read [[Depth and Perspective]].<br>
Read Calter's Geometry in Art And Architecture Unit 11:
[http://math.dartmouth.edu/%7Ematc/math5.geometry/unit11/unit11.html Brunelleschi's Peepshow & The Origins of Perspective].<br>
Do [[Depth and Perspective Exercises]] #1-12
</li>
</ol>

==Course Information==
===General===
*'''Class Meets:'''  MWF 12:00-12:50 in RH 316
*'''Instructor:'''
** Bryan Clair (http://math.slu.edu/~clair)
** Office: Ritter Hall 110
** Office Hours: M10-11, Th10-11, F1-2 or by appointment.
** Email: bryan@slu.edu
*'''Prerequisite:''' 3 years of high school mathematics or Math 120 (College Algebra).

===Grading===
<ul>
<li>
'''Attendance''' is required.  You will have in-class work to be done in groups.
One unexcused absence is allowed.  Six absences will cause you to lose two letter grades.
I only excuse absences when presented with official documentation.
</li>
<li>
'''Homework''' will be due weekly.  Your work should be 
neat, legible, and stapled. Cooperation is good, but write up results separately. 
Late homework is always accepted, but I will not write comments and will 
automatically give a score of 5 (out of 10) if the work is of reasonable quality. 
</li>
<li>'''Exams'''.  I give makeup exams only for severe and documented reasons.
<ul>
<li>Exam 1: Friday, Feb. 13</li>
<li>Exam 2: Friday, Apr. 3</li>
<li>Exam 3 (Final exam period): Friday, May 8, 12:00-1:50</li>
</ul>
</li>
<li>'''Grading''' is on a straight scale, with 90%,80%,70%,60% guaranteeing A,B,C,D. 
Grading is weighted as follows:
<ul>
<li>Homework: 20%</li>
<li>Attendance and in-class work: 20%</li>
<li>Projects: two @15% each</li>
<li>Exams: three @10% each</li>
</ul>
</li>
</ul>

===Textbooks===
The main text for this course is the [[Main Page|Math and the Art of MC Escher]] online book, at http://math.slu.edu/escher

Two traditional textbooks are required for the course:
<ol>
<li>'''D. Schattschneider, {{VOS}}. H. Abrams 2004'''.  (The paperback 1990 edition is also acceptable).</li>
<li>''' J. Locher, {{Magic}}.  H. Abrams 2000'''.  This book is out of print in the U.S.  You can sometimes still find a copy for sale in the U.S., or order the UK version, still in print.  It's available at amazon.uk (
http://www.amazon.co.uk/Magic-M-C-Escher/dp/0500512892/ref=sr_1_4?ie=UTF8&s=books&qid=1200083862&sr=8-4
) or 
direct from the publisher (
http://www.thamesandhudson.com/books/The_Magic_of_M_C_Escher/9780500512890.mxs/1/1/
)
</li>
</ol>

===Honesty===
Students are expected to be honest in their academic work, as per the Honesty Policy 
of the College of Arts & Sciences. Plagiarism, cheating and dishonesty will be 
reported to the dean and may result in probation, expulsion, or worse.

==Schedule==

===Week 1 (1/12-1/16)=== 

Rosette symmetry.  Rotations, reflections.  Symmetry groups. [[Symmetric Figures Exploration]]. [[Symmetry of Stars and Polygons Exploration]].
[[Composition Exploration]] and the classification of rosette symmetries.

===Week 2 (1/19-1/23)===
Monday: MLK, no class.
Frieze symmetry.  [[Frieze Marking Exploration]], [[Frieze Group Exploration]].

===Week 3 (1/26-1/30)===
[[Frieze Names Exploration]].  Wallpaper symmetry.  [[Wallpaper Exploration]]

===Week 4 (2/2-2/6)===
[[Wallpaper Symmetry Exploration]].  Begin tessellations.  [[Metamorphosis Exploration]].

===Week 5 (2/9-2/13)===
Monday: Field trip to Cathedral Basilica, 4431 Lindell (at Newstead).  The trip will be at 4:00pm, and we will not meet at our usual class time.

Tessellations.

'''Friday: Exam 1.'''

===Week 6 (2/16-2/20)===
Tessellations.  [[Quadrilateral Tessellation Exploration]].  [[Pattern Block Exploration]].

===Week 7 (2/23-2/27)===
[[Tessellations by Recognizable Figures]].  In-class sketching.

===Week 8 (3/2-3/6)===
Similarity transformations.  [[Dilation Exploration]], [[Iteration Exploration]], [[Self-Similarity Exploration]].

[[Tessellation Art Project]] due Friday.

'''Spring Break (3/9-3/13)'''

===Week 9 (3/16-3/20)===
Spherical geometry. [[Spherical Geometry Exploration]].  Using [http://merganser.math.gvsu.edu/easel Spherical Easel].  [[Spherical Triangles Exploration]].

===Week 10 (3/23-3/27)===
Finish [[Spherical Triangles Exploration]].  Spherical tessellations.  [[Regular Spherical Tessellations Exploration]].  Platonic solids.

===Week 11 (3/30-4/3)===
Euler characteristic and duality.  [[Platonic Solids Exploration]].
'''Friday: Exam 2.'''

===Week 12 (4/6-4/10)===
Hyperbolic geometry.  [[Hyperbolic Paper Exploration]].  [[Hyperbolic Geometry Exploration]].
'''Friday: Good Friday, no class.'''

===Week 13 (4/13-4/17)===
'''Monday: Easter break, no class.'''
Hyperbolic geometry.  [[Escher's Circle Limit Exploration]].

===Week 14 (4/20-4/24)===
[[Hyperbolic Tessellations Exploration]].  Depth and perspective.  [[Depth Exploration]].

===Week 15 (4/27-5/1)===
[[Perspective Exploration]].  [[Impossible Exploration]].  [[Flatness Exploration]].  Review for third exam, discuss art projects, class evaluations.

Last day of class is Monday, 5/4.

===Final Exam Period (Friday, May 8, 12-1:50)===
Third exam.  Art project due.