Never Tell Me The Odds

Some might want to believe that the cards are completely random, that luck is entirely in your fate. In some circumstances this is true. But only if you have no idea how to determine what and how many cards are in the deck that you need to draw from.

My contribution to the open source textbook will be one regarding probability math, specifically where it comes to random number generation and determining the probabilities of certain outcomes. To do this, I look to a favorite card of mine, Magic: The Gathering.

For those who don’t know, think of MtG (Magic the Gathering) as a card game that’s partly like poker, partly like chess, and partly like roleplaying games. In a traditional constructed format, players draw seven initial cards for their hand, then take turns accumulating resources on the playing field in an attempt to defeat their opponent. The wide variety of different deck types also contributes to different probabilities – determining which turn you need to reach to win the game, determining the inevitability of drawing into your win condition, determining how likely it will be at any stage of the game for you to draw a specific answer to a problem for you.

The Language of Math

Hi everyone. I’m really into languages and linguistics so I want to do my topic on that. I’ve done some research into this before and there’s a lot more than I had initially thought. I mostly want to talk about how mathematic symbols came about, how we group together numbers, or counting. I know a little bit about each of these and I could either go really in-depth in one of them or do a little bit of them all. I read an article talking about a tribe in South America where they only have the words for “one” and “many”, yet they all live perfectly normal lives without the need for numbers or counting. There are a lot of things I could talk about but I’ll probably narrow it down as I research more.

Applications with Mathematics

Finally I was able to narrow it down to one idea! It should’ve been an easier decision to make due to the fact that I’ve been doing this idea since I was three. It’s dance! Ever since I was a little girl, three exactly, I did tap, jazz, ballet, and hip-hop. I loved it and this is my first year not doing it since then. So on this topic, there is a multitude of kinds of math found in dance. There is geometry, the most common math found behind dancing, the shapes creating patterns and symmetry, and the forms of the bodies of the dances created angles and shapes corresponding with the ground. Another example is the amount of dancers increases, so does the amount of possible relations. There is also transformations involved, reflections, rotations, and rescaling… The ideas that follow behind the mathematics in dance in unending! This should be a fun concept to learn about and I appreciate any new and welcoming ideas!

Math in Copying Ancient Texts

When we were listing topics last week in class I had around ten different topics written down. Slowly but surely, I crossed each off for not being interesting enough, that is except for copying ancient texts.

In high school I learned a little bit about how ancient texts were copied, and it fascinated me. The detail and care that the scribes put into their work was beyond dedicated.

Right now I have no idea how I’m going to fit the math aspect in, but I am thinking about calculating the percentage of error. Any thoughts about how math could relate?

It’s a toss up

Hey guys!

When Dr. Plante first mentioned to start thinking of ideas for a final project I brain stormed a list of about 50 different possible topics. Somehow I was able to dwindle that list down to three subjects. So I would love to hear your thoughts on what topic would either interest you the most -or- what topic you might have some prior knowledge on.

Chaos Theory. This was mentioned in last weeks lesson on fractals. The Butterfly Effect was mentioned, however personally it has been mentioned in some three podcasts that I have been listening to. TANIS, The Black Tapes, and Rabbits. Although all of these podcasts are fictional stories, they have a large amount of mathematical theories mentioned in them. Which is what truly peaked my interest when Dr. Plante mentioned it in class.

Typography. This is a subject that I know involves math, but I don’t know all the specifics. If you know anything or have some solid links, let me know!

Aurora Borealis. This subject I have not a drop of knowledge on. However, ever since watching Balto religiously as a kid, I’ve been obsessed with the “Northern Lights,” and I would love to somehow incorporate it with this class.

Cheers! I can’t wait to see what everyone else finally decides to present.

Math in Cheer

My final project will be on the math in cheerleading. I did cheer from eighth grade all the way to my senior year of high schools, so as one can assume its a passion for me. Being part of cheer team makes one realizes the math that goes into cheer. There is counting for the whole routine, timing in the music and the counts. Figuring out the number of people on the team and how that can be dived into stunts, jumps, dance sequences and tumbling passes. There is also that math behind the placement of the cheerleader, almost like symmetry and wall paper  patterns, so that the whole routine looks pleasing to the audience. Finally there is math behind the stunts. There is a certain balance one has to find when throwing a girl up in the air. The flyer need to go up needs at the right time, and the flyer needs to hit the pose at a specific time. Then the stunt group catching the girl has to catch the girl in exactly the right way at the right time. It also has to do with how the hands are place and the forces and how they work with one another. I found this great website that goes into real detail about math in cheerleading. It also has some great videos of cheerleading as well.

https://mathematicsofcheerleading.wordpress.com/

Math In Couponing

I have decided to do my final project on couponing for groceries. I got my inspiration when Professor Plante was giving us project ideas and he told us he used to be very into couponing. My plan is to do lots of research as to how exactly to become a couponer. I have heard of all the tricks like printing off multiples of the same coupon, and staying as organized as possible. but some things are not clear to me quite yet. I plan to use a photo book or scrap book to organize my coupons and ideas. I think this project will take a few trial and errors to get it right. Doing this project will benefit me and hopefully others to teach them how to coupon. I don’t plan to be as crazy about couponing as some people on the show Extreme Couponing on TLC, but i attached a short clip to show you how crazy this hobby really is.

Math of Engines and Automobiles

Hey Everyone,

For my project I will be discussing some of the basic math that is used in our cars.  Cars are very complicated machines that combine all kinds of technology to make our lives easier and more comfortable. To get all the benefits of this technology into one machine it takes a lot of math for every thing to work right and be properly optimized. I have had the opportunity to build and help build a handful of engines,transmissions and axles and math is something that really comes into play when putting this equipment together, especially for performance purposes. While there is a lot of math involved with cars I will be trying to stick to some common equations used in the drive train and suspension.

Engines: Displacement,horsepower,torque,compression ratios and timing degree equations

Transmission/axle:Gear ratios and their varied applications

Suspension/steering: Steering ratios and angles, front suspension geometry.

These are some rough ideas and I will be adding or subtracting some depending on how the project is coming along. I am looking forward to presenting my findings and hope it gives some interesting information as to how our vehicles where designed from a math perspective!

If anyone is interested in some preliminary reading here is a great article from Hot Rod magazine

Common Automotive Mathematic Equations – Car Craft Math

The math and history in blacksmithing, focused around damascus.

I have always had a passion for blacksmithing and being able to take one thing and craft it into something else. What I find very interesting is the process that goes into handcrafting knives out of different materials and different material mixes to achieve a certain strength or weight or really any variation. For example a person on youtube that does Damascus smithing is Alec Steele. With math and logic he creates various patterns into the things he builds. What is Damascus? It is a mix of two different metals to give a pattern. After forging your piece it gets dipped into Ferric Chloride for a period of time varying on the darkness of the etch you’d like. Everything about blacksmithing is interesting because the list of things that can be forged is very long. Blacksmithing is very math intensive with the measurements, the shape, the weight ratios from the blade to the handle to make sure it is balanced. The following images are a few of the patterns he has made.

Math and Traveling

There are many complications when it comes to traveling anywhere. Whether it be that you wish to backpack on foreign turf or go on a road trip with your best friend. It all comes down to time. Time deciphers how long it will take to get there, the amount of time you have while you are at your destination, and what you can do given this amount of time. I want to investigate within my math topic how traveling certain routes (using geometric topics and mathematics) can help create faster, more expedient, routes.

Of course, I would have to rely on only one destination. The one that most inspires me is an across country trip, that involves cite seeing and trademark locations. I have only a couple sources I can pull from which requires me to do some extensive research. Also, I must narrow down where I want this trip to go/ what trademarks the “across country trip” will explore. Here’s a picture that replicates a couple of the quickest routes:

Of course, I would include the different forms of math that would add to these different route paths. I am thinking of incorporating what we have recently talked about in class. One being how “saddle” like shapes that curve are shorter distances than those that are flat. Which, could help in investigating different routes that are the most expedient.

If you have any pointers or anything to add let me know!

Still a very basic idea