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Homework and Inclass Assignments
 For May 4 (you will give brief presentations that day): Creative project on Fractals and/or Chaos is due. This can be any creative work. You must also turn in a 300word essay explaining your work, how it relates to fractals and/or chaos, and why you chose to create your particular project.
 Section 7.6
 Mindscapes: 118, 2224, 2631
 Due Monday May 2 (assigned April 30): reading response and number 4
 Section 7.5
 Mindscapes: 15, 6, 7, 1215, 21, 22, 24, 3032, 38, 39
 Due Friday April 27 (assigned April 25): reading response and number 3
 Due Wednesday May 2 (assigned April 30): find a favorite Conway's Game of Life starting pattern online and also create your own starting pattern. Turn in these patterns and write about why you chose them.
 Section 7.4
 Mindscapes: 15, 6, 8, 1, 1215, 2023, 2630, 36, 38, 40
 No reading response
 Due Friday April 27 (assigned April 25): one of 41, 43, 44
 Section 7.3
 Mindscapes: 17, 112, 14, 17, 18, 20, 21
 Due Monday April 23 (assigned April 20): reading response and number 2
 Section 7.2
 Mindscapes: 15, 6, 9, 10, 13, 14, 15, 16, 21, 23, 24, 25, 27, 28, 32, 33, 37
 No reading response
 Due Monday April 23 (assigned April 20): one of 41, 43, 44
 Section 7.1
 Mindscapes: 16, 9
 No reading response
 Section 6.3
 Mindscapes: 1, 4, 5, 6, 8, 10, 12, 13, 14, 15, 26, 29
 Due Wednesday April 11 (assigned April 9): reading response and number 1
 Section 6.2
 Mindscapes: 79, 12, 14, 15, 19, 20, 24, 26, 27, 29, 30, 32, 33, 3537, 39, 40
 Due Monday April 9 (assigned April 6): reading response and number 2
 Section 6.1
 Mindscapes: 27, 9, 12, 14, 15, 19, 30
 Due Friday April 6 (assigned April 4): reading response and number 1
 Section 5.4
 Mindscapes: 15, 612, 15, 16, 17, 19, 20, 21, 23
 No reading response
 Due Friday April 6 (assigned April 4): 24
 Section 5.3
 Mindscapes: 6, 10, 11, 13, 16, 19, 2628, 35, 36, 38
 Due Wednesday March 28 (assigned March 26): reading response and number 4
 Section 5.2
 Mindscapes: 15, 68, 14, 24, 2628, 39
 Link to Wind and Mr. Ug, a video story on a Möbius band
 No reading response
 Due Wednesday March 28 (assigned March 26): one of 41, 43, 44; and the answers to the questions in the following activity:
 (This activity is borrowed and adapted from the Math 1240 Wiki)
 Take one of the crosses and tape together two opposite "arms" into an untwisted loop. Then tape the other two arms in another untwisted loop (if you taped the first loop on one side of the strip crossing, bend the other loop to the other side). The result will look like a twisted figure eight. Cut one loop down its middle (that is, cut along the length of the loop). What do you get after cutting one of the loops? Now cut the other loop down its middle. What do you get after cutting the second loop?
 Take the second cross. Again tape opposite ends into loops. This time make one a plain loop and one a Möbius band. What do you think you will end up with after cutting both loops? Cut the loops to find out. Report the result.
 Using the third cross, again tape opposite ends together to make two loops, this time twisting both loops into Möbius bands. What do you think you will end up with after cutting both loops? Cut the loops to find out. Report the result. In each case, make sure to report how many pieces you get and how many twists each piece has. Check carefully!
Cut six strips of paper, each wide enough that you can cut them in half lengthways. Using these strips, make three identical figures in the shape of a cross by taping two of the strips of paper at right angles at the middle of each strip. Make sure you tape the strips to each other on both sides and at both edges (you'll need four pieces of tape).
 Section 5.1
 Mindscapes: 15, 6, 7, 9, 1012, 12, 24, 2628, 31, 38, 39
 Due on Wednesday March 21 (assigned March 19): reading response and number 4
 Section 4.7
 Mindscapes: 15, 68, 10, 11, 13, 16, 17, 19, 21, 22
 No reading response
 For Monday March 5 (assigned March 2), read at least the first 30 pages (the first 12 sections) of "Flatland: A Romance of Many Dimensions" by Edwin A. Abbott');
 For Wednesday March 7 (assigned March 5), read "... And He Built a Crooked House " by Robert A. Heinlein (make sure you click through all three web pages to read the whole story!).

Write a page or so on each of the readings on other dimensions:
 describe life in Flatland (the inhabitants, their customs, episodes in their history), due Wednesday March 7 (assigned March 5); and
 summarize the plot of the short story " And He Built a Crooked House " by Robert A. Heinlein; make connections with our study of the fourth dimension, due Monday March 19 (assigned March 7).
 For Friday March 23 (assigned March 7) (you will give brief presentations that day): Creative project on the fourth dimension is due. This can be any creative work. You must also turn in a 300word essay explaining your work, how it relates to the fourth dimension, and why you chose to create your particular project.
 Section 4.5
 Mindscapes: 15, 9, 11, 1417, 21
 Due on Friday March 2 (assigned February 28): reading response and number 3
 Section 4.4
 Mindscapes: 6, 8, 912, 15, 16, 18, 21
 Due on Wednesday February 28 (assigned February 26): reading response and number 5
 Due on Friday March 2 (assigned February 28): a solution to # 8
 Section 4.3
 Mindscapes: 6, 7, 8, 13, 16, 20, 22
 Due on Wednesday February 28 (assigned February 26): 23, 25 or 26
 Section 4.2
 Mindscapes: 711, 1416, 19, 21, 22
 Due on Friday February 23 (assigned February 21): reading response and Number 3
 Due on Monday February 26 (assigned February 23): a solution to Mindscape 10, including triangulations, coloring of the vertices, counts of the colors, and conclusions about where to place video cameras.
 Section 4.1
 Mindscapes: 68, 1013, 15, 16, 2022
 Due on Wednesday February 21 (assigned February 19): reading response and Number 2
 Due on Friday February 23 (assigned February 21): a solution to one of 13, 15, 20, 21
 Due on Friday February 23 (assigned February 21): a carefully explained proof of the Pythagorean theorem
 Section 3.3
 Mindscapes: 6, 7, 9, 10, 1214, 16, 19, 20, 22
 Due on Monday February 19 (assigned February 16): reading response and Number 4
 Due on Wednesday February 21 (assigned February 19): read Section 3.4 up to the end of the four questions on Page 174. Write a 300 word reflection on infinity. What are the most interesting or surprising discoveries of Chapter 3?
 Section 3.2
 Mindscapes: 6, 8, 10, 13, 15, 20, 21, 24, 26, 27, 28, 31, 32, 34, 35
 Due on Monday February 19 (assigned February 16): one of 41, 43 or 44
 Section 3.1
 Mindscapes: 120
 No work due from this section. Make sure you can solve the "Hilbert Hotel" problems that you work(ed) on in class.
 Section 2.6
 Mindscapes: 1, 3, 4, 7, 6, 9, 11, 22, 26, 37, 40
 Due on Monday February 12 (assigned February 7): Reading Response and Number 2
 Due on Wednesday February 14 (assigned February 12): Turn in a proof that the square root of three is irrational
 Section 2.5
 Mindscapes: 7, 8, 11, 13, 1517, 19, 22
 Due on Monday February 12 (assigned February 7): one of 23, 25 or 26
 Section 2.4
 With reading: do Mindscapes 15
 Mindscapes: 6, 10, 13, 17, 19, 2022, 26, 29, 32, 33, 39, 40
 Due on Friday February 2 (assigned January 31): Reading response and Number 1
 Section 2.3
 With reading: do one Mindscape from each of the following ranges: 15, 610, 1115, 1620, 2125
 Mindscapes: 1, 2, 3, 5, 7, 13, 14, 19, 20, 2628, 31, 35, 36, 45
 Due on Wednesday January 31 (assigned January 29): Write a complete and careful proof that there is an infinite number of primes.
 Due on Friday February 2 (assigned January 31): A short paper of at least 300 words on one of the unanswered questions about prime numbers (the twin prime conjecture or the Goldbach conjecture). Discuss the question's history, describe what progress has been made on the question, and include any interested related information. Take note of the following requirements:
 Include a list of references at the end of your paper.
 If you include a quote from your sources, make sure that you give attribution to the source of the quote and make it clear exactly what is quoted.
 Be careful not to plagiarize from any source  do not copy anything without attribution. Write the majority of the paper in your own words!
 Your paper will be graded on content (amount of information), mathematical accuracy, use of correct grammar and spelling, and on overall quality.
 Section 2.2
 With reading: do calculations, play Fibonacci Nim
 Mindscapes: 7, 8, 26, 6, 10, 12, 13, 16, 17, 18, 20, 45, 47, 49
 Due on Monday January 29 (assigned January 26): One of 7, 8, 26 and one of 41, 43, 44
 Section 2.1
 With reading: do one Mindscape from each of the following ranges: 15, 610, 1115, 1620, then do 21, 22, 24, 25. Add the following to 21: (b) OTTFFSSEN... and (c) JFMAMJ...
 Due on Wednesday January 24 (assigned January 22): Reading response and one of 15.
 Section 1.4
 Work on these stories: 13, 512. Number 15 is a semester challenge problem.
 Due on Wednesday January 24 (assigned January 22): Write a solution for your favorite Mindscape from this section, and also explain why you chose this Mindscape.
 Section 1.1
 Work on the stories not discussed in class (omit Stories 79). You will takes turns presenting your solutions and ideas.
 Due on Monday January 22 (assigned January 17): Please write (or, preferably, type) a paragraph or two about yourself. What is your major? What is your mathematical background? Why are you taking this class? What are you hoping to get out of this class? How do you intend to ensure a successful experience in this class?
Visit the web site for this class  tell me something about it that you like, and something that could be improved.
Write anything else you wish.
Where is New Zealand?
Also: send an email to your family, telling them when your tests and final exam are in this class, advising them NOT to book travel that conflicts with these events.