Pow #6 The Game of Bridg-It William Telios
(FIGURING OUT HOW TO PLACE IMAGES ON THIS PAGE) 3-4-13
Problem Statement: The problem presented to the class was called the Bridg-It game. The objective is to win against your opponent by either playing strategically or defensively. To win you must have a 100% connected line in either position (Horizontally or vertically depending on which way your opponent picks.) While we were playing the game we had to think of different strategies or assumptions based on the results of multiple games outcomes.
Process: To start off my partner Alex and I began to play with a 2x3 board with him going first. This allowed him to have 1 extra turn than me allowing him to ultimately win every 2x3 game. We then played on a 7x8 board to test if the person who goes first wins hypothesis works. It turned out that with the more amount of turns there are, the more likely it is to mess up which allowed me to win a few of those games. Another idea we had would be that depending on where you start affects if you win or not. For example my idea was that if you place your 1st dot closest to the center of the board, you have 4 paths to use your line on. It would look something like this…
Solution: After much trial through various board sizes and strategies, I realized that a few of my hypothesis were correct. The ones that were correct were the following: On smaller boards, the person who goes first has a higher chance of winning as he/she has 1 extra turn. Another that worked was where you would “follow” your opponent’s footsteps by simply drawing a line underneath their lines. This works because it can confuse whoever is playing against you by making there multiple openings to win. Overall whoever goes first is the determining factor of how/why a person wins a game of Brig-It. No matter how you play, it always gives an advantage of some sort.
Evaluation and Self-Assessment: Through this problem I have learned why we essentially create hypothesizes to figure out strategies in order to win board-games. They are very useful and quick if you do them the correct way. I’d give myself a 10/10 as an overall grade as I worked hard on this problem both in school and at home. One HOHAM I used was Intellectual Curiosity. I had to create my own hypothesizes in order to complete the assignment. Two Habits of a Mathematician I used were being persistent and patient through the game process. I also had to condense the problem down with my partner Alex and keep an open mind to new ways to play.
(FIGURING OUT HOW TO PLACE IMAGES ON THIS PAGE) 3-4-13
Problem Statement: The problem presented to the class was called the Bridg-It game. The objective is to win against your opponent by either playing strategically or defensively. To win you must have a 100% connected line in either position (Horizontally or vertically depending on which way your opponent picks.) While we were playing the game we had to think of different strategies or assumptions based on the results of multiple games outcomes.
Process: To start off my partner Alex and I began to play with a 2x3 board with him going first. This allowed him to have 1 extra turn than me allowing him to ultimately win every 2x3 game. We then played on a 7x8 board to test if the person who goes first wins hypothesis works. It turned out that with the more amount of turns there are, the more likely it is to mess up which allowed me to win a few of those games. Another idea we had would be that depending on where you start affects if you win or not. For example my idea was that if you place your 1st dot closest to the center of the board, you have 4 paths to use your line on. It would look something like this…
Solution: After much trial through various board sizes and strategies, I realized that a few of my hypothesis were correct. The ones that were correct were the following: On smaller boards, the person who goes first has a higher chance of winning as he/she has 1 extra turn. Another that worked was where you would “follow” your opponent’s footsteps by simply drawing a line underneath their lines. This works because it can confuse whoever is playing against you by making there multiple openings to win. Overall whoever goes first is the determining factor of how/why a person wins a game of Brig-It. No matter how you play, it always gives an advantage of some sort.
Evaluation and Self-Assessment: Through this problem I have learned why we essentially create hypothesizes to figure out strategies in order to win board-games. They are very useful and quick if you do them the correct way. I’d give myself a 10/10 as an overall grade as I worked hard on this problem both in school and at home. One HOHAM I used was Intellectual Curiosity. I had to create my own hypothesizes in order to complete the assignment. Two Habits of a Mathematician I used were being persistent and patient through the game process. I also had to condense the problem down with my partner Alex and keep an open mind to new ways to play.