Frieze Patterns in Real Life

Brad Wall


Excursions in Mathematics

I was able to find a frieze pattern today in school by looking at the texture of some chairs. These are the theater style seats in the screening room on the fourth floor.

I notice that this pattern has reflections however, there is not rotational symmetry at all. The dots threw me off when I first looked at it. There is also no glide reflections in this pattern as well. It seems to just be a simple repeating reflection. The reflection repeats over the vertical axis.

Magic Eyes

Brad Wall


Math 444.M1

Magic Eyes

On Tuesday we spoke about optical illusion and how they show up in parts of our culture. OK Go, uses optical illusions to make their videos fun and entertaining for their fans. I started to think about what aspect of my life have optical illusions come into play. While I was in high school I worked in a daycare. When I first started working there I taught the 4 year olds. Much of my time was spent doing fun things like arts & crafts, tag, and reading books. There was one book that always stood out however because it had no words. This book was called Magic Eye. In this book are pictures that look like a mess of color. However, if the reader focuses in just the right way then a 3D image appears.

The kids would take turns sharing the book trying to see what images would appear. It was a very fun past time and the kids enjoyed it.

The magic eyes book remind me of M.C. Escher picture that Professor Plant, showed in class.

If you read the Magic Eye book you see a 3D image appear like this.

The way Magic Eye works is they take a 3D object and produce an image of it. Next, they layer the image so that it can appear 3D. Finally they construct a 2D pattern and put it over the 3D image. Finally, the image is ready to be seen and published.

Magic Eye Website:


Magic Eye Example:


M.C. Escher Example:

Dark Souls and Trees

Brad Wall


Blog Post

Today in class we learned about trees and how they are used in things like transportation. I spent most of the day today thinking about how I can relate this to my own experiences in a way that is different than others. I finally found what I needed. I took a break from homework and brainstorming today to play some video games with some friends. When I sat back down to continue this post I realized what I could talk about.

Recently my friends and I have been playing a video game called Dark Souls 3. This video game is known for being one of the hardest games to ever play. It takes place in a world where humans are starting to decay and turn evil. Essentially you are the last champion to undergo the task of reigniting the flame of life. If you do not darkness will take over. To reignite the flame you must kill all the Lords of Cinder. By killing them you gain the materials you need to spark the flame. There are four Lords of Cinder and they each reside in a different place on the map. Each lord is a boss and each boss is protected by a vast world of decaying monsters that are trying to kill you. To make this even harder of a task at any point in the game another real life human can come into your game and kill you with their champion and take your money.

Like most video game communities there is a subdivision that is devoted to beating the game as fast as possible. These people are known as speedrunners. This is where I see the first part of math used in this game.  The map that they use resembles the tree that we had discussed in class.

Each box is an area in the game and the arrows show how they connect.

This tree is seen in another aspect of the game as well though. Throughout the game, the only way to save your progress is to find a bonfire in the area that you are in. Some are obvious while others are not. The community has made this map to show the connections to each bonfire and when the player will be able to access them.

Overall the game does not have an actual map that displays the land and where the player needs to travel. In response, the community used the tree method to display this and have made it easier for people to find their way around the extremely dangerous map.


Brad wall


Excursions in Mathematics


After today’s class I have become super interested in the idea of fair and equal giving. I did some research and found a Huffington Post article that has much different approach than the method we used today. The post outlines a few different apps that claim to make diving inheritance easier. A person using these apps can take a picture of the items they inherited and these apps will value them. There still needs to be a discussion about who gets what but it puts everything on an even playing field. The issue that I have with valuing an item based on its worth is that it doesn’t add in the sentimental value. I think our method best outlines this aspect of inheritance. I would love to know if there is any other methods people use.