# Math 110 Math Apps Art

## Class Resources and Handouts

Course Syllabus (Section 01, TTh 9:30-10:45)
Course Syllabus (Section 02, TTh 2:00-3:15)

## Homework

Homework 1, Due 9/13/18
Homework 2, Due 9/27/18
Homework 3, Due 10/9/18
Homework 4, Due 10/18/18
Homework 5, Due 10/30/18
Homework 6, Due 12/3/18
Homework 7, Due 12/6/18
Homework 8, Due 12/13/18 (this handout would help)

### Course Updates and Materials

Check here for a summary of what we covered each day, links to useful tools, and class handouts.

 Date Summary Resources Aug 23 Course Introduction Aug 28 An overview of essential Euclidean geometry: the impact and structure of The Elements, and how we can use simple tools to construct useful geometric shapes Euclid's The Elements Handout PDFEuclidean Geometry Lecture Slides PDF Aug 30 Definitions and properties of polygons: What is a polygon? How are they classified? For a summary, see the first few slides in the Polyhedra Slides PDF for September 4 Sep 4 A review of polygon definitions, and an introduction to the definitions and classifications of polyhedra. Platonic and Archimedean solids. The Classification Theorem Polyhedra Lecture Slides PDFPlatonic Solids in 2D Sep 6 Conic Sections: The circle, ellipse, parabola, and hyperbola can all be realized as the intersection of a cone and a plane. No slides, but experiment with the applet to see how to create each curve. Conic Section Applet Sep 11 Mathematical Envelopes: Their definition, and some well known curves and shapes that can be "formed" by their envelopes. Envelopes Lecture Slides PDFComplete Graph AppletCardioid Envelope AppletCircular Envelope Applet Sep 13 Projections: We lose valuable information about an object when we lose a dimension, but we can find some clever ways of overcoming this obstacle, and sometimes use it to our advantage. Projection Slides PDF Sep 18 Perspective Projection: Vanishing points; 1, 2, and 3-point perspective Perspective Slides PDF Sep 20 Anamorphic Art: Using perspective grids to create realistic 3D effects; cylindrical anamorphic art Anamorphic Art Slides PDF Sep 25 Number Systems: Converting from Base 10 to other bases, Converting from other bases to base 10, and a little history behind the numbers we use today (and why they're pretty good, but not perfect) Number Systems Slides PDF Sep 27 Colors as Numbers: RGB, Hex, and HSL color codes Colors as Numbers Slides PDF Applet: Quick Base Conversion Calculator Applet: How pixels display RGB colors Applet: HEX Color Palettes Applet: Colors with RGB, HEX, HSL Oct 2 Exam I Oct 4 No Class - Fall Break Oct 9 Vectors and Matrices, Part I: What is a vector? What are some operations we can perform on vectors? Vectors and Matrices Part I Slides (HTML) Oct 11 Vectors and Matrices, Part II: What is a matrix? What operations can we perform with them? What will we use them for? Vectors and Matrices Part II Slides (HTML) Oct 16 No slides, but we talked about functions on vectors, and how we can find a matrix of a transformation (reviewed at the beginning of slides for Oct 18) Oct 18 How to find and apply linear transformations to stretch, rotate, and otherwise change images in the plane Linear Transformation Slides (HTML)Applying a Linear Transformation Oct 23 No Class - Advising Day Oct 25 Common color transformation matrices, HSL colors and color schemes Transforming Colors and Color Schemes Slides (HTML) Oct 30 A final look at linear transformations in three dimensions, and why it turns out we need four Transformation of Three Dimensions Slides (HTML) Nov 1 Exam II Nov 6 A brief summary of the novella Flatland, some ways of understanding the fourth dimension, and an introduction to the artistic approaches to visualizing it Flatland and the Fourth Dimension Slides (HTML) Nov 8 The influence of theories regarding the fourth dimension on the art world; A brief review of Euclidean geometry Cubism Slides (HTML)Review of Euclidean Geometry Slides (HTML) Nov 13 The Mathematics of Non-Euclidean Geometry Non-Euclidean Geometry Slides (PDF) Nov 15 MC Escher and Non-Euclidean Geometry Escher Slides (PDF) Nov 20 Rigid Motions Rigid Motions Slides (HTML) Nov 27 Finite Symmetry Groups Finite Symmetry Group Slides (HTML) Nov 29 Wallpaper and Frieze Groups Wallpaper Group Slides PDFWallpaper Group Applets Dec 4 No slides! We summarized the tiling patterns we've seen, and saw a final method on creating them. Dec 6 Last topic - fractals Iterative Function SystemsAutomata (One Line)Cellular Automata (Game of Life)