Projects
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Mr. Terror's Project - Part I
[Student Solution for Part I]

After you have taken the pictures required for your most horrid class, Fundamentals for the Photography Psychotic, you are now ready to develop the prints in all of the different sizes that the first course project requires. Your camera takes 35 mm film, which for simplicity, we'll assume is about 1 inch x 1 1/2 inches (it's actually 24 mm x 36 mm).

a) Your teacher, Mr. Terror, wants copies of all of your negatives (called contact prints). What is the scaling factor of a contact print?
b) Mr. Terror wants you to pick one special picture that truly shows some creative madness and make it five times as high and five times as wide as the negative. What is the linear scaling factor for this print? Calculate the area of the negative, the area of this new print, and describe how they compare.
c) The next requirement is that you choose ten pictures to make 8x12 (8 inches x 12 inches) prints of. What is the area of one of these prints? What is the scaling factor? Is this print geometrically similar to the negative? Explain your answer.
d) Mr. Terror wants you to make 3x5 prints and 4x6 prints of the same 3 photos. You make the 3x5's (it cost you $0.20 to print each one), but then you run out of time and take the negatives to the one hour photo shop to get the 4x6 prints. The shop charges you $0.32 for each print (suppose the cost of photo paper is proportional to the area of the paper), did the one hour place rip you off? Explain.
e) Mr. Terror's second course project involves lots of very large prints and you want to make sure you save up enough money to be able to pay for the paper. Considering the cost of your 3x5's, if the next project involves 4 8x10's, 5 12x16's, 2 24x30's and a massive print that's 7 feet high by 12 feet wide, how much money should you save up?
f) For extra credit, Mr. Terror lets you choose a print size all on your own. For your unique print size, list the dimensions, area, cost of paper, and tell whether or not the print will be geometrically similar to the negatives of a 35 mm camera.

Mr. Terror's Project - Part II

Mr. Terror has created another devilishly insane photography project for your Fundamentals for the Photography Psychotic class. For this project, he wishes you to spend no more than $5 to make a portfolio of 3x5's and 8x10's. Assume that 3x5's cost $0.20 while 8x10's cost $1.00 each. It takes you 1/2 hour to process each 3x5 and 1 hour to process each 8x10, and because you have a lot of math homework to do, you only have 8 hours of labor time. Mr. Terror gives 6 points each for 3x5's and 13 points for each 8x10 included. Mr. Terror wants to be sure that everyone has a different layout so he requires that:

If your first name begins with A-M, you must have at least 5 3x5's, but if your first name begins with N-Z, you must have at least 6 3x5's.

If your last name begins with A-M you must have at least 1 8x10, but if your last name begins with N-Z, you must have at least 2 8x10's.

a) Make a mixture chart for your photography project.
b) Using your chart, construct a list of resources and minimum-constraint inequalities.
c) Construct a formula for the points earned on the project.
d) By checking corner points, determine the optimal number of each size print you should include. Record your answers for each cornerpoint.
e) If you submit the optimal combination of 8x10's and 3x5's, what will your total points be?

Birthmonth Statistics Problem
[Student Solution]

Given a random listing of the birthmonths of people in our class:
a) Create a histogram of the number of birthdays per month.
b) Divide the data into 6 classes of two birthmonths each.
c) Create another histogram using these classes.
d) Is this new histogram symmetric? skewed? Explain.
e) Make a stemplot of the birthmonths.
f) Find the mean and median birthmonth.
g) Find a five birthmonth summary of the data.
h) Find the standard deviation and the variance of the data.
i) What do you think of the data? Is there a reason for some differences in the number of births per month?

Strip Pattern Problem

1) Find or create your own patterns (you may not copy them from the textbook) that are of type:

a) pmm2 - has vertical reflection and horizontal reflection lines
b) pma2 - has vertical reflection lines and half-turns but no horizontal reflection lines
c) pm11 - has only vertical reflection lines (no half-turns or horizontal reflection lines)
d) p1m1 - has horizontal reflection lines only
e) p1a1 - has glide reflections only
f) p112 - has only half-turns
g) p111 - has no half-turns, glide reflections or lines of reflection

2) Search for "the golden mean" (or other related words) on the internet. Write a paragraph summary about one interesting site you find. Attach a copy of the site (if less than 5 pages) or it's web address (if over 5 pages).

3) List the first 20 numbers in the Fibonacci sequence.

Escher Tiling Problem

1) Create a unique Escher-like tiling similar to those shown on pages 681-684 of your textbook.

2) Write a 250-300 word essay (approximately one double-spaced page) about M.C. Escher, Marjorie Rice, Roger Penrose or another famous tiling expert. Use at least one resource other than your textbook. Be sure to give credit if you quote your source. If your outside source is less than 5 pages attach a copy, if over 5 pages, list it as a reference. Reliable internet sources are acceptable.

Voting Methods Problem

1) A survey was completed in class and the students were to determine the winner using:
a) plurality voting
b) Borda count
c) sequential pairwise voting with ABCD

2) Create a webpage about one of the voting methods in Chapter 11. Include at least one image and one link to another page as well as a link to your e-mail. Write at least one paragraph of text about the voting method you chose.

Game Theory Problem
[Student Solution]

Create a simple game that falls into one of the category types in Chapter 15 of your book. Write a 2-3 page description of the game, including rules, objectives, what type of game you attempted to make, and an outline of the various strategies and possible outcomes.

  Last Modified on Monday, June 11, 2001.