Towers of Hanoi
Introduction
============
We have been asked during this piece of coursework to investigate the
Towers of Hanoi. The Towers of Hanoi is a simple game whereby you must
move of a pile of 3, 4, 5 or any other number of discs (1, 2, 3, etc)
of decreasing radii from 1 of 3 poles to another pole (A, B, C).
You are only able to move one disc at a time and cannot place a larger
disc on top of a smaller disc. You must also complete this task in the
smallest amount of moves possible.
Our ultimate task was to complete the game with 4 discs and then 5
discs using the smallest amount of moves, then to find a formula to
find the smallest amount of moves for any number of discs.
Simple cases:
=============
4 discs
=======
After having tried to solve the puzzle with 4 discs I found that the
smallest amount of moves possible was 15. (See fig. 1)
5 discs
To try and make things slightly easier for myself I decided to use the
first 15 moves I had used for 4 discs and then proceed from there.
This method was effective and led me to find that the smallest number
of moves was 31. (See fig. 2)
Results and Formulas
====================
Number of discs
---------------
Number of moves
1
1
2
3
3
7
4
15
5
31
When placing all the results into a table I noticed that if you take a
certain number of moves for example 3 and then double it you end up
with 6. You only then need to add another 1 to make 7, which is the
next amount of moves. This works for any number of moves for finding
the next amount of moves. To simplify my findings I produced a formula
as shown below.
Vietnam Research Project 1. Vietnam was a conflict that was originally fought by the French. They acted this way to follow the 'Truman doctrine' but by 1950, war had flared up again and America joined. In '54 Eisenhower had come up with the 'domino theory' as a justification for the involvement.
4. At the end of 2 hours, you will be told to stop. Put your pencils down IMMEDIATELY. Failure to do so
The Vietnam War was the longest war in America's history of involvement. Twenty years of hell, land mines, cross-fire, and death. Vietnam was divided by the Geneva Accord. The north being communist run by Ho Chi Minh. The south being anti-Communist run by Ngo Dinh Diem. Before Vietnam was separated, it was run by France. France had ruled most of Indochina since the late 1800s. The Vietnamese were unhappy with the way the French were controlling, therefore, many of them took refuge in China. When in China, they began to follow the lead of Ho Chi Minh, who wanted to model the Vietnamese Declaration of Independence as that of the U.S. version. In the 1940s, Japan had taken over Vietnam which upset Ho Chi Minh and his revolutionaries when they had returned a year later.
The Seventh Tower Plot Summary This book is a science fiction book that is the first in a series of books called The Seventh Tower. It starts out with a boy by the name of Tal Graile-Rarem receiving word that his dad was missing on a mission that he was doing for the queen. And that is when everything goes downhill. This is because his dad has the only good sunstone that will allow Tal to pass into the world of Aerian.
cube, I noticed that all of them had three faces. I then went onto a
After having been invaded and conquered by the French in 1850 and the Japanese during WWII, Ho Chi Minh, created an Army of 800 men known as the Vietminh, and with 90 rifles amongst then all, they set force to fight against the Japanese. Using this to their advantage, the United State seen this as a way to fight the Japanese without occurring any casualties. The United States covertly sent the OSS (Office of Strategic Services) into the Jungles of Vietnam to support the Vietminh by training and arming the them. After having defeated the Japanese, and declaring his country’s independence, Ho Chi Minh wrote a Declaration of Independence. Having found great value in the idea’s behind democracy, his Declaration of Independence would include idea’s
On September 9 1965, James Bond Stockdale was flying at 3000 meter in the air carrying an easy bombing mission. Unfortunately little did he know, this would be his final mission? On his road back to base Stockdale plane was hit by anti-war craft. Stockdale launch the emergency exit at the right time and suffered injuries He was discovered by North Vietnamese villagers and later found himself in the Hell and most terrifying prison in North Vietnam. He joined many of the Americans in the “Hanoi Hilton”. Hanoi Hilton created many unique and heartbreaking stories, once taken to Hanoi Hilton; POWs were tortured, starved, killed, denied medical treatment, placed into solitary confinement, and sometimes driven to insanity
Thanks to authors people learn thrilling facts and understand the world around them better. Two outstanding authors that have influenced society with their writings is Albert Rios and Nadine Gordimer. Albert Rios is the author of The Vietnam Wall which is a poem that paints an image of the emotional impact the wall has on individuals. Nadine Gordimer is the author of a short story by the name of Once Upon a Time. Once Upon a Time is written about a family who attempts to be safe from intruders by installing various securities which ends badly.Albert Rios and Nadine Gordimer use different elements to focus on the conflict and tension between society and individuals.
The Vietnam war was, like many other wars, a bloody and brutal fight. Vietnam used to be a territory of France until 1954 when they surrendered because they outnumbered in a battle. The Geneva Conference was then held to discuss the end of the war and due to that, North and South vietnam were split up because of the different leaders. China, the Soviet Union, and other communist countries were supportive of the North while the United States and anti-communist allies were supportive of the South. The leader for the North side was communist Ho Chi Minh and the South was ruled by anti-communist Ngo Dinh Diem. Ngo Dinh Diem starts off as prime minister in 1954 but eventually becomes president in 1955. The United States and others wanted to avoid the
The most obvious impact on Vietnam was the literal ravaging of the land. The bombing campaigns and ground endeavors helped to destroy so much of the terrain and the land upon which a primarily agricultural society depended. The "Rice Bowl" of the world was significantly altered with the constant presence of conventional and unconventional warfare. The spillover in the later stages of the war to Cambodia had much of the same effect. The Cambodian inclusion in the war revealed much of the brutality and cruelty in the war, as the United States began bombing campaigns in the neighboring nation. Political instability ensued with totalitarian leadership assuming control in Cambodia once the Americans and other Westerners were expelled from Cambodia
In history, there have been many battles and takeovers, which results in many changes in cities and countries. The Fall of Saigon happened on April 30, 1975. The communists soldiers appeared in the city of Saigon and the takeover started. Julian Manyon, an English journalist writes, “We had known for days that Saigon must collapse but we were unprepared for what happened on the final morning.” Many people, back in 1975, were happy that the communists took over; however, there were people who did not want to be part of the new government. So, many people escaped South Vietnam by any means. They arranged for fake papers or they smuggled onto a boat to go to the United States or elsewhere. Therefore, due to the Fall of Saigon, many Vietnamese people were not happy with the changes that the communist government made when they took over.
e proclaimed, “I was angry. I never cried. I didn’t know how to cry.” In the movie The Secret Garden, Mary Lennox, the protagonist, lost her parents in a tragic earthquake. She never once cried about the accident, because in her case, there was nothing to really cry about. Unlike most children, Mary’s parents neglected her. She never felt loved, accepted or cared for. The closest that she ever had to a parent was her handmaiden. In her family, her parents only cared about themselves. All they did was go to parties, or fancy events while leaving Mary home to sit around, while they were having the time of their lives. Through this, Mary had to put up a wall. All she ever knew was people that neglected her and did not really care for her, so she
· Collect 3 cylinders, and then cut them into 6 pieces of 3 cm with a
I had a little more trouble figuring out the DISC Assessment at first and had to read
...tries beside each other on the triangle can be added to get the entry below them.