m.c. escher, "metamorphosis"
In this quarter, you will continue building your portfolio of artwork using Geogebra. You also will move into three-dimensions and get a chance to create virtual mathematical sculptures.* You'll do this by playing around with SketchUp (so take a moment to download it... just the free version! As we start looking at geometry in three dimensions, we will also learn about the geometry behind perspective. Throughout this quarter, we also will encourage you to start creating some non-virtual art: drawings, paintings, origami, constructions, string art, sculptures, etc.
*Maybe later in the year, we'll even get to use the 3D printer to create your sculptures in the real world!
*Maybe later in the year, we'll even get to use the 3D printer to create your sculptures in the real world!
Task 07 |
Task 08 |
You recently learned how to use sliders to change the location of a coordinate, the length of a line segment, the radius of a circle, and an angle of rotation.
We want you to create a dynamic piece of artwork, where one to three sliders changes many things in the artwork at once. So by dragging a slider, you give your piece some sort of motion. We want this piece to be complex, rather that simplistic. The constraints: You should have color in your piece. You should have no more than three sliders in your piece, each of which controls a lot of things (objects, angles, distances, segments, etc.) in the piece. Moving each slider should affect at least 5 different parts of your piece, including: (a) the lengths of some objects (whether it be a segment or a radius) (b) the rotation of objects As you move the slider(s), none of the objects should "fly off" of your window. (You should save your file with the window you want.) Bonus challenge: If you can have an object affected by more than one slider, you will get a small bonus. Before you start: Before starting, you need to take out a blank sheet of paper (that you will be turning in) and sketch what you want your piece to look like, and write down what you want to happen when you change the sliders. It's okay if you can't get your piece to follow your plan, but I want you to have a plan before you start! Turn in: When it is done, save your geogebra file with the title "Knowles_Beyonce_Task07Geogebra.ggb" (but with your name, obviously). Throw that file in the dropbox. Throw your work into this word file. Title the file "Knowles_Beyonce_Task07Word.docx" (but with your name). Throw that file into the dropbox also. In class you will turn in your original plan. |
Many artists use well known images from popular culture in their art – this type of art has been called Pop Art. One famous artist, Andy Warhol, created an artwork using the images of many soup cans, which as a geometry student, you might recognize as one soup can that has undergone a number of translations.
Check out a few different works of his works here and here. We want you to create a Pop Art piece, like Warhol, but using more than translations! The idea for this task is to create a piece that incorporates an existing image (or images) and puts them through the graphical transformations we’ve been studying. The constraints: Include at least one image file that you’ve imported into Geogebra. You may find a picture from an online source, but including a picture that you take would be great! (This is a perfect opportunity for you to incorporate yourself (!) quite literally into your piece. Selfie, anyone?!?) Your initial image should undergo a number of transformations. Just like when you started with a triangle and then reflected it over an axis, you ended up with two triangles, you will have many copies of your initial image after you make it undergo these transformations. You should end up with at least 6 images total, all placed via transformations. We're going to be looking for at least one rotation, 1 reflection, and 1 translation. You must include a reflection over a line that is not the x- or y-axis. You must include a rotation that is not centered at the origin. Hide all grid lines, axes, irrelevant points, and lines of reflection. The end result shouldn't be a hodgepodge of images randomly placed. They should look awesome together! Turn in: When it is done, save your geogebra file with the title "Knowles_Beyonce_Task08Geogebra.ggb" (but with your name, obviously). Throw that file in the dropbox. Throw your work into this word file. Title the file "Knowles_Beyonce_Task08Word.docx" (but with your name). Throw that file into the dropbox also. |
TASK 09 |
You have the option of doing this with a partner, however you have to pledge that you both will work on it collaboratively.
There are many artists who use geometry (and mathematics in general) in their artwork. You are going to find one that you like, and create a fake Facebook page for this artist using Fakebook. Be sure to change the coverphoto to one of the artist's more famous pieces, and be sure to include a photograph of the artist, some of the artist's friends (or people s/he worked with or were inspired by), and any additional relevant "about" info (birthday, where they lived, where they worked, etc.) In the "posts" section, have at least 6 posts by the artist themselves (maybe a famous quotation from them, or what you imagine they might have said based on what you've discovered about the artist, or just something crazy interesting or relevant that happened to them). Make sure at least 3 of the posts talk about the use of mathematics in the art they created. (And make sure at least 3 of the posts have pictures of the artists's work.) (To go above and beyond, throw in a few additional posts from friends of the artist. And some comments to the posts.) When you're done, save your page, and copy the link to your page into this page. If you need help finding an artist, please talk with me! |