ipl-logo

The Knight's Tour Case Study

1929 Words8 Pages

The Knight 's Tour
Dhruv Dadoo
IB SL Mathematics
School Code: 000763
Session number: 0036
Personal code: dsq955
Teacher:Anthony Cox
Word Count: 2098

Overseas Family School

Introduction
The Knight 's tour research is to investigate the path a knight would have to take to visit every square on the chess board, only once. There are numerous paths it could take, and how it could do so. This paper discusses the history of this problem and the methodology to solve the problem, it is a very intriguing idea on how a knight would complete the chess board, as well as the fact that it 's been practiced for thousands of years and numerous different theories have resulted in answers to such a problem
In this report, I will attempt on discussing the different ways the Knight’s Tour can be related to the mathematics we study in class.
The Problem
The knight is a piece on the chess board that has a very different movement style, it is can either move two upwards/downwards and one to the left/right, or it could move one upwards/downwards and then two to either the left or the right. This can be seen in figure one that is shown below. The condition presented here is that which path does is the knight required to follow to land on every square of the board only once.

History
The first known reference of the Knight 's Tour problem was in 9AD in a Sanskrit poem. It was called the Kavyalankara, from the poet Rudrata. It was done using Sanskrit symbols on half a

Show More
Related

  • Analysis Of A Center City Walking Tour By Elijah Anderson

    1773 Words  | 8 Pages

    In his piece “A Center City Walking Tour,” Elijah Anderson discusses the concept of “cosmopolitan canopies.” He takes us through a written tour of Philadelphia, going street by street in great detail. He begins his tour from Penn’s Landing and ends on 52nd Street. As he discusses these areas, a number of themes and issues can be identified. As Anderson moves on in the tour, the ideas of race and class become particularly prominent.

    Read More

  • Maturity In Sir Gawain And The Green Knight

    85 Words  | 1 Pages

    The main theme of Sir Gawain and the Green Knight is the journey to maturity of Gawain, the hero. During the passage, Gawain goes through three tests on his development. First, Gawain shows courage and resourcefulness when he volunteers to take the Green Knight’s challenge instead of Arthur doing so. Second, Gawain shows authority, self-restraint, and integrity when he denies the sexual endeavours of the lady of the house. Lastly, Gawain shows bravery when he faces death by keeping his meeting with the Green

    Read More

  • Character Analysis Of Sir Gawain And The Green Knight

    1005 Words  | 5 Pages

    Although Sir Gawain does not want to take the Green Knight’s challenge, he honorable takes the place of King Arthur and lies about his worth. The Green Knight arrives carrying an axe and holly, symbolizing peace and war, but tells them that he “travel[s] in peace and seek[s] no trouble” (12). Despite saying that he wants no trouble, he proposes a game involves one strike with his axe by whoever is brave enough for another done by him a year later. The court is baffled by his request, and when no one speaks up to take the Green Knights challenge, he ridicules them by conveying that “all the pageantry and power of the Round Table made nothing by the words of one man” (13). After the Green Knight finishes mocking the Knights of the Round Table, Arthur boldly takes the challenge until Sir Gawain politely requested to take his place.

    Read More

  • All Women In Sir Gawain And The Green Knight

    1290 Words  | 6 Pages

    Sir Gawain and the Green Knight, composed by an unknown artist, is a medieval story that follows the tale of a knight who embarks on a journey after being issued a challenge from a mysterious green stranger. During his quest, Sir Gawain, the knight, stays at a castle in the wilderness and is housed by Lord and Lady Bertilak, both of whom test his chivalric code and his Christian ideals. Lady Bertilak is a seductress and tempts Sir Gawain, though he refuses all her advances, with the exception of her kisses. Lord Bertilak is the mysterious green stranger, known as the Green Knight. Once Sir Gawain completed his task, he discovers that Morgan le Faye, a witch scorned by King Arthur, orchestrated the entire challenge in the hopes of causing King

    Read More

  • Violence In Sir Gawain And The Green Knight

    1114 Words  | 5 Pages

    He is described as a man, “None had seen...with sight in that hall so grand.” (197) Immediately he asks for the leader of the house to which he extends his request for a contest to King Arthur. The unnamed knight then reveals the rules of the game. Carl Martin, in his essay, The Cipher of Violence, elaborates. “ The Green Knight reveals here that while the typical warrior-noble engineers his aggrandizement through public displays of prowess… he is also bound by a strict code of behavior meant to restrain and refine his aggression.”

    Read More

  • Paradox In Sir Gawain And The Green Knight

    683 Words  | 3 Pages

    One of the first paradoxes is seen within the text is with regards to the green giant riding into the dining area of the knights on a horse.

    Read More

  • Sir Gawain And The Green Knight Literary Analysis Essay

    528 Words  | 3 Pages

    The pauses in-between the Green Knight’s addresses shows how the knights

    Read More

  • Chivalry In Sir Gawain And The Green Knight

    1052 Words  | 5 Pages

    During the Medieval times chivalry was one of the most important characteristics a knight could display. Chivalry was viewed as a moral obligation that involved bravery, honor, respect, and gallantry. Knights were expected to uphold this code or face social consequences for any infractions, with punishments ranging from humiliation to termination of their knighthood. “Sir Gawain and the Green Knight” presents the struggles knights faced with honoring the chivalrous code at all times. Sir Gawain, while imperfect, exhibits qualities expected of knights and embodies the internal struggle between honoring the chivalrous code and giving into selfish desires.

    Read More

  • Integrity In 'Sir Gawain And The Green Knight'

    403 Words  | 2 Pages

    The second test came the following year when Gawain sets out to face Splendid the Green Knight. After having a great deal of time to ponder what the future may hold, Gawain still embarked on his journey. Gawain not only courageously showed up to his challenge, but did so three days early. Gawain faced his third and final challenge while staying

    Read More

  • Examples Of Chivalry In King Arthur

    974 Words  | 4 Pages

    (Gathering of the Knights pp 23). Thus further proving how humble Arthur is, he created the famous Round Table in order to instill equality for all the knights. Arthur could have easily kept the table the same so he could be the head and receive all the attention and glory, but fame was not as important to

    Read More

  • Courage In Sir Gawain And The Green Knight

    480 Words  | 2 Pages

    Early on in the tale, Sir Gawain shows courage when he steps up and accepts the Green Man's challenge well knowing of the chance of Death. By doing so Sir Gawain surpassed his fear of death by stepping up to do a mission none of the other knights at the round table wished to do. His reasoning for this was to take the place of his uncle, King Arthur who was originally the chosen participant after none of the other present knights volunteered. After chopping off the head of the Green Man, Sir Gawain is told that he must go to the green chapel in one year and one day to meet the Green Man. Sir Gawain fearful of death debates whether or not he will set journey to the green chapel at that time yet his courageous characteristics force him to go.

    Read More

  • Sir Gawain's Loyalty To The Green Knight

    246 Words  | 1 Pages

    The first character I will be analyzing is Sir Gawain. Sir Gawain is one of the main characters within this story. In the beginning of the story, we see that Sir Gawain is full of optimism, eagerness, and loyalty to protect his king and his kingdom from the Green Knight. Sir Gawain is seen as the embodiment of chivalry. An example of chivalrous manners can be found such as in his speech to Arthur when he accepts the Green Knight 's challenge.

    Read More

  • The Imperfection Of Man In Sir Gawain And The Green Knight

    613 Words  | 3 Pages

    After hearing this challenge, Sir Gawain tries to prove his bravery to King Arthur by cutting the head of the Green Knight off in one blow. Afterwards, the knight leaves with his head, telling Sir Gawain to look for the Green Chapel. On all saint’s day the

    Read More

  • Odysseus Returning Home Analysis

    395 Words  | 2 Pages

    Nine days I drifted on the teeming sea/ before dangerous high winds. Upon the tenth/ we came to the coastline of the Lotus Eaters,/ who live upon that flower” (ix, 33-36). Being able to remember the first steps you took to return your destination is a key to retracing your path.

    Read More

  • Summary: Sir Cumference And The Dragon Of Pi

    222 Words  | 1 Pages

    Sir Cumference, Lady Di of Ameter and son Radius are on a math adventure. Sir Cumference drinks a potion and becomes a fiery dragon. Son Radius comes to the rescue as he begins his journey through the castle. Radius solve the riddles and discovers the magic number of circles. Only then the curse is broken and Sir Conference is no longer a dragon.

    Read More

More about The Knight's Tour Case Study

Open Document