Mirrors What happens when we have two mirrors? What if the mirrors are parallel? What if instead they intersect? What if we make the angle between them larger or smaller? How many images do we see? Try the activity and followup here. Rotations Rotations can give powerful effects, especially when you combine multiple rotations or introduce… Read More Playing with Symmetry
For this project, you have a choice to work in symmetry patterns or in geometric sculpture. Option A: Symmetry Patterns Develop a portfolio of symmetry patterns. Your portfolio should include a total of 5 patterns. The choice of symmetry type is up to you, as is the choice of the type of work and method… Read More Project 3
We started talking about symmetry last week with the snowflakes exercise. Since we won’t be together on Monday, post two (or more) images related to symmetry. These could be pictures that you take of symmetry in the world, your own sketches or other work, or symmetric pieces you like done by others. Post them in… Read More Symmetry comments!
For the last few weeks, we have made various things and I want to give links and resources to help you make and build more! Polyominoes! For our first exploration we took a look at polyominoes. There are a number of games and puzzles that make use of tetrominoes (Tetris) or multiply polynominoes (Blokus). We… Read More Making Geometry: Part I
This class we finished up the ideas explored in class 6. We reviewed all of the ideas of the past few weeks and proved that there are more real numbers between 0 and 1 than there are counting numbers. Vi Hart provides a summary of the work we have done in this video. We then… Read More Class 7: Wrapping up Infinity
This last week before break, we went more in-depth into infinity. We did a coloring exercise and learned that we can add up infinitely many numbers and still get only 1. You can find the exercise here. We talked about why 1/3=0.333333… and why 0.9999999…=1 (even though that seems nuts). We also watched this Vi… Read More Class 6: More Infinity
Your second project involves infinity. A full description can be found at this link!
In class today, We started by talking about infinity and the different images and ideas that come up when we talk about the infinite. Then we watched a Vi Hart video “Infinity Elephants” that provided an introduction to some important ideas, while looking back at fractals. Particularly, Vi mentioned that there were different sizes of… Read More Class 5: Introducing Infinity
Make a square out of paper, and then trace around it so you can remember the size. Cut the original square in half. Then cut one of the halves in half. Then cut that half of a half in half. Keep going! With your first cut, you produced a half of the square. What part… Read More Exploration 6: Cutting Squares