Mathematics and Digital Art, Fall 2016 
1  Wed, 24 Aug 
Download the course syllabus. If you'd like to read more about the conferences mentioned in class today, click on Vienna or Finland. Click here to watch some animated fractal movies using Processing. You'll be making movies like this in the second half of the course! Homework:

2  Fri, 26 Aug 
Here is the website on color codes we used in class today. Homework (for real RGB values, round to the nearest thousandth):

3  Mon, 29 Aug 
Here is the Sage worksheet on Josef Albers that we used in class today. For Wednesday, read Day011 of my blog on on randomness and texture. For Friday, create your first digital artwork!
Answers to Homework from Day 2:

4  Wed, 31 Aug 
Here is the color and texture worksheet we'll be using in class today. The course on Canvas is published! Please add a comment to the discussion, maybe even post a draft of your work for others to comment upon. When you comment on another's work, be respectful, but don't be afraid to be critical. The least useful response to an artist's work is "it's nice." What does that mean? Write a comment that you would be comfortable receiving if someone else wrote it to you. Finish your assignment for Friday! An assignment is set up on Canvas, so submit it there. You do not need to print anything out. Also, read the blog post on color gradients. 
5  Fri, 2 Sept 
Here is the Sage worksheet we'll be using in class today to work with color gradients. Your second assignment will consist of three images and descriptions. You should create one image using the ColorSquare function, one image using the TextureSquare function (both from Wednesday's class), and one image using the Evaporation function (from today's class). For each image, give a complete list of parameters, and a discussion of why you chose those parameters, just like with the last assignment. Put this all in a .pdf file, with your last name included in the file name. I will read over your descriptions from the last assignment, and give you feedback before the next one is due. The due date is Saturday, 10 September. 
6  Wed, 7 Sept 
Here is today's Sage worksheet on affine transformations. Don't forget about your quiz on Friday! It will cover color codes, basic coordinates in two dimensions, and generating random numbers (like you needed to do for your previous assignment). Know how to make cyan, magenta, yellow, white, and black! Bring a handheld calculator; no phones or computers! Recall that we ultimately want to be able to create fractals like the Sierpinski triangle. Make sure you review translations, scaling (both in the x and y directions), and reflections about the x and yaxes. Bring due dates for ALL major assignments in your classes on Friday. We will have a brief discussion on time management after the quiz. Also, be sure to post on the Discussion Board for the second assignment. This is for a grade! 
7  Fri, 9 Sept 
Here is the Sage worksheet (thanks to Andrew for the suggestion) incorporating randomness for different color values. Remember to add to the Discussion Board (this will be graded!), and to turn in your digital art assignment by tomorrow night. Please reread the instructions carefully — some of you did not not submit the correct assignment last time. Email me by Sunday at 11:59 p.m. the next major assignment in ALL your classes. Look at your course syllabi for the necessary details! If there is no major assignment listed, be sure to explicitly say so. Here is your affine transformation homework due Monday. I will want to see the work done in your notebook! ($\LaTeX$ code.) Download today's quiz on color values on coordinates. Here is the $\LaTeX$ code. 
8  Mon, 12 Sept 
Download solutions to Quiz 1. Here is the Sage worksheet on iterated function systems we'll be using today. Here is today's homework. ($\LaTeX$ code.) Also, read Day034, Day035, and Day036 of my blog for Wednesday. Also, email me due dates for major assignments if you have not already done so! 
9  Wed, 14 Sept  Here is your homework on matrix multiplication ($\LaTeX$ code). (Answers are included so you can check your work!) 
10  Fri, 16 Sept 
Here is the fractal we discussed today. What affine transformations would you use in an iterated function system to create this fractal? For today's lab, create a fractal using two affine transformations. For the first, rotate by $45^\circ,$ then scale the $x$ by $0.6$ and the $y$ by $0.4,$ and finally move to the right $1.$ For the second transformation, rotate $90^\circ$ clockwise, scale both $x$ and $y$ by $0.5,$ and then move up $1.$ To check that you've done it correctly, click to see what this fractal looks like. Assignment due Sunday, 25 September: Create three fractals using iterated function systems.
Here is today's homework. 
11  Mon, 19 Sept 
For today's lab, first finish the fractal we started on Friday. Now let's try another one. Create a fractal using two affine transformations. For the first, rotate by $60^\circ,$ then scale the $x$ by $0.6$ and the $y$ by $0.5.$ For the second transformation, rotate $60^\circ$ clockwise, scale the $x$ by $0.5$ and the $y$ by $0.6,$ and then move to the right $1.$ To check that you've done it correctly, click to see what this fractal looks like. When you finish this, recreate one of the fractals you had to analyze for homework. The only homework is to study for Wednesday's quiz! 
12  Wed, 21 Sept 
We will have our first round of presentations beginning next Wednesday. Here is what you need to do.

13  Fri, 23 Sept 
14  Mon, 26 Sept  Many of you did not send emails about your papers (or you forgot to copy me on them). Please take care of this today! Remember, everyone needs to be ready for Wednesday. I'll use a random number generator before class to determine the order of presentations. Be looking for scissors, a straight edge, and maybe some glue for next week. We'll be building polyhedra! 
15  Wed, 28 Sept 
Download solutions to Quiz 2 from Day 12. Download the rubric for class presentations. 
16  Fri, 30 Sept 
Please read this chapter on the Platonic Solids for Monday. We'll go over the algebra in detail next week. For Monday, write a brief response — about one page, doublespaced — addressing the following questions:
Remember we'll be building polyhedra in the next few weeks! So feel free to surf the internet to find interesting polyhedra nets — and email links to me so I can determine whether they're possible to build in a reasonable amount of time. 
17  Mon, 3 Oct 
Solve each of the following equations. Do not do more work than necessary — you may use any previous results we derived in class. There will be a notebook check at the beginning of Wednesday's class! Assume $p, q, e$ are all integers, and $e>0.$

18  Wed, 5 Oct  Finish Monday's homework! 
19  Fri, 7 Oct 
Your project proposal is due Sunday at midnight. You should include as detailed a description as you can! We will be working on these in class during Weeks 9—14 (approximately one day each week), with presentations during Week 15 (which is right after Thanksgiving break). So you should indicate intermediate goals for each of the six weeks we'll be working on projects during class.
Your project may evolve as you learn more about making movies with Processing, and that's OK. You may submit an updated proposal whenever you feel necessary. Keep in mind that we will be using Processing to make movies with iterated function systems in class, so your project can not also be to make movies with IFS. REMINDER: Bring in both your dodecahedron and icosahedron on Monday! We will need them in our discussion of duality. This is just a completion grade. Also, finish the last case analysis from #4 on Monday's homework. 
20  Mon, 10 Oct 
Please resubmit your Project Proposals. Of those who actually submitted a proposal, only one was done correctly! Here is the chapter about polyhedra and graph theory. For Wednesday, do problems #1, 3, and 6. 
21  Wed, 12 Oct  Remember, you have a Homework Quiz on Friday! Also, finish building your rhombic dodecahedra. 
22  Fri, 14 Oct  No homework over the break except to do what you need to in order to prepare for our inclass Project workday next Friday. 
23  Wed, 19 Oct 
Your homework is to write a short response paper (one page, doublespaced is fine) about today's talk! You may address anything at all, but here are a few suggestions if you're not sure where to start.
Also, bring anything you need to work on your project on Friday! We'll devote the entire day to projects. Download solutions to Quiz 3. 
24  Fri, 21 Oct  Here is the link to the dual gradient worksheet in Sage. 
25  Mon, 24 Oct 
Our first day with Processing! You'll be making this movie in class today. Homework: You decide to make a movie in Processing which is 1024 x 768 pixels (a 4/3 ratio). So you want a user space with upper right corner (4,3) and lower left corner (4,3). As we did on Day039 of my blog, find the screen space in terms of the user space. If the center of a square is at (1,0) and the upper right corner has coordinates (1,2) in user space, what are the coordinates of the corners of this square in screen space? 
26  Wed, 26 Oct  Homework: Finish making the movie if you have not already done so. Come prepared to work on your projects Friday.! 
27  Fri, 28 Oct 
Now that we've had two weeks of project work, you should have a fairly clear idea of how you would like to proceed. Some original proposals were very sketchy, others had more details. Submit a revised proposal by Sunday at midnight. If you wrote a more detailed proposal at the beginning, you might not have to revise much at all. You must include a weekly list of goals!
Also, make this movie! Your screen should be 500 pixels wide (as before), and the dots should always be 25 pixels from the edge of the screen. Colors are the usual red, orange, green, blue. Large dots are 200 pixels wide, and small dots are 100 pixels wide. 
28  Mon, 31 Oct 
Download the movie we'll be discussing in class today. Next week is our second Presentation Week! By the beginning of class Wednesday, please choose the paper(s) you would like to present on, and post them to the Discussion Board to avoid duplication. 
29  Wed, 2 Nov 
Here is the movie we'll be working with in lab today. Try to duplicate this as closely as possible. The starting fractal is one we did for homework earlier in the semester, so you know where to start — you just need to figure out where to end! Also, you don't need to match the colors in the movie, use whatever colors you like. The size of screen space is 800 x 500 pixels, and the fractal itself is 600 x 300 pixels. You can download this sample movie which shows how to work with different colors for the different transformations. Don't forget to email the author of your paper by Friday! Remember to copy me on the email. 
30  Fri, 4 Nov 
Your response paper to Friday's talk is due Monday! Do not use four lines of your paper with your name/date/class or rewriting the prompts. Many of the last papers were too short. I will be more strict with grading this assignment.
Also, make sure all movies we worked on in lab are done Monday! And be ready for your presentations.... 
31  Mon, 7 Nov  Remember, if you did not present today, be prepared for Wednesday! 
32  Wed, 9 Nov 
Be prepared for a Project workday on Friday. Also, complete any unfinished assignments. There will be a late penalty, but anything not completed and submitted by Friday at midnight will turn into a 0! 
33  Fri, 11 Nov  Please email me all major due dates and Final Exam dates by Tuesday so I can discuss them with you individually during lab on Wednesday and Friday of next week. 
34  Mon, 14 Nov 
Here are a few Processing tricks you might want to incorporate into your assignment. Here is the code for Evaporation in Processing. Your movie in Processing is due before you leave for Thanksgiving break (Wednesday at midnight).

35  Wed, 16 Nov  Be prepared to work on your Projects on Friday! 
36  Fri, 18 Nov  Remember that your movies are due next Wednesday by midnight! 
37  Mon, 21 Nov  Your repsonse paper to today's talk is due next Monday. Please do not forget! Remember, we have an Open Lab period on Wednesday morning. Hope to see you there! We will start Project Presentations next Friday. When we come back from Break, we will use Monday and Wednesday as inclass work days. 
38  Wed, 23 Nov  Have a great Thanksgiving Break! 
39  Mon, 28 Nov  Presentations begin Friday! Here is the complete prompt.

40  Wed, 30 Nov  Be prepared for Project Presentations on Friday! 
41  Fri, 2 Dec  Project Presentations. 
42  Mon, 5 Dec  Project Presentations. 
43  Wed, 7 Dec 
Your final assignment (as there is no Final Exam!) is to write a response paper about your experience in Mathematics and Digital Art. The prompt is essentially the same as the prompt for the first response paper, but you've had the rest of the semester to develop as a digital artist.... Your paper should be at least one page, doublespaced, not counting name, title, etc. Remember, this is not a formal essay, but an informal reflection on you experience. Please address the following points, and add any other comments you would like:
