Connect 4 - Maths Investigation.
Connect 4 Introduction: I am going to investigate how many different ways you can win with connect 4. To start with I am going to use grids with a height of 4 and of varying lengths. From the table above I can see that there is a pattern with the results. The Length goes up by 4 every time, The Height goes up by 1, The Diagonal goes up by 2 and The Total goes up by 7. From this I can form the prediction that for 4 x 7 the Length will be 16, the Height will be 7, the Diagonal will be 8 and the Total will be 31. From the results I can see that my prediction was correct and I have now decided to work out a rule so that you can work out the total for any length with height 4. I am going to use the difference method to work out the rule. 4 X 4 4 X 5 4 X 6 4 X 7 Length 4 8 2 6 Height 4 5 6 7 Diagonal 2 4 6 8 Total 0 7 24 31 7 7 7 As you can see the difference is 7, using the difference method if the 1st difference is the same you multiply it by the number in the sequence in this case the length (L). After multiplying the length by 7 you work out how much has to be taken away or added (n). Premature rule: 7L - n For the 4 x 5: 7x5 = 35, 35-17 = 18 Rule for Connect 4 with Height 4: 7L - 18 Test Rule: If the Length is 8: 7x8 - 18 = 38. I predict that the total number of connect 4 for the 4 x 8 grid will be 38. From
Investigate the number of winning lines in the game Connect 4.
Year 11 mathematics coursework - Connect 4 Investigation. This is a winning line in the game Connect 4 on a 4x5 board. Winning lines can be horizontal, vertical or diagonal. Investigate the number of winning lines in the game Connect 4. The task asks for an investigation of the number of Connect 4 solutions in different sized grids. In Connect 4 the rules are that a winning line is a straight line of four connected counters in either a vertical, horizontal or diagonal line. To investigate this I must count the total number of possible winning solutions in a grid. The grid does not have too be any particular size however I will begin my investigation by using small grids, therefore the number of solutions will be smaller and easier to count. My results will be recorded in tables to make it easier to spot any patterns or trends. My aim is to establish formulae's that will enable me too calculate the total number of winning lines for any given grid size. These are the steps I will take to complete the set task: . I will draw a range of differently sized grids and count the total amount of possible winning solutions each has on it, this will aid me in creating a formula. 2. After I have gathered all my results I will record them in tables. 3. Using the table I will look for patterns and possible links. 4. Using the data I have collected I will attempt to calculate a
Investigate the number of winning lines in the game of connect 4.
Investigation Connect 4 X X X X Task This is a winning line in the game of connect 4 on a 4x5 board. Winning lines can be horizontal, vertical and diagonal. Investigate the number of winning lines in the game of connect 4. The task is asking me to find out how many winning lines (connects) when you are connecting 4 there are on any size board. What am I going to do •I am going to find out how many connect 4 there are in a 4x5 board. •I will change the size of the box, but keep one value the width constant. And I will find a pattern in the number of connects there are in the different size boxes. •I will use algebra to find a general formula for a NxWidth (W) box. •I will then increase the width (constant) by one and work out a formula for that box. •I will then find a pattern in the formulas for the different size boxes, connecting 4, and I will make a formula for the formula. •I will then change the number that I will connect. For example 2, 3 or 5. Connect 4 Firstly I will do a box with the width constant as 5 and I will change the height. Hx5 Box Any Number=N Connects=C Height= H Width =W Hx5 1 2 3 4 5 6 Connects 2 4 6 17 28 39 first layer 11 11 11 second layer The box height of 1 and 2 do follow the pattern so they are
Howard's End : ‘Only Connect’
HOWARDS END: 'Only Connect' 'Only Connect' is the epigraph that Forster choose to give to Howards End, and this can be overall seen to be a fitting one as the impact of these two words is portentous. By firstly using a critical method we can acknowledge that the phrase although ambiguous is somewhat penetrating and fundamental. The capitalisation of the two separate words show it to be an inscription upon the reader, as it presents the complete GOAL of the novel. The 'Only' forms a stress which places an emphasis on the following word 'Connect'. The 'Only' therefore is unique, as it suggests there is only one singular role of the novel and that is to 'Connect', thus propounding that there is a solitary definition as to the 'Connect'. While the 'Only' speaks in a direct manner, its direction is towards the ambiguous, which leaves the reader a great deal of self-determination within the novel, as the epigraph has simply formed a basis upon which to judge the characters instead of producing a compound summation of the novel. This maxim does not contain the usual clarity, balance and polish that an epigraph has come to depict, therefore inferring to us that perhaps the maxim is not in reference to the novel, but instead to the audience, therefore 'Only Connect' consequently can be perceived not only as a declaration but also as a question. Is Forster placing the parameters upon
As part of my G.C.S.E Maths we had to do a piece of coursework on connect four winning lines.
Maths Coursework As part of my G.C.S.E Maths we had to do a piece of coursework on connect four winning lines. I'm going to start my investigation with a 4x4 because it is the smallest possible winning line in a connect 4 game. I will then move onto a 5x5 grid, hopefully after that I could predict a 6x6. After completing square grids I will move onto rectangles. The data I will need to know is the area of a full size connect four grid (6x7) and that you can only go in a straight line of a 4 counter horizontally, vertically and diagonally. I think that I have found a pattern, which will enable me to predict a 6x6 grid to find the winning line Grid size h v d Total 6x6 3x6 3x6 2x9 54 Grid size h v d total 4x4 x4 x4 2x1 0 5x5 2x5 2x5 2x4 8 6x6 3x6 3x6 2x9 54 As you can see the h,v,d all have a pattern H Box The horizontal box has a pattern of plus three values from the first value to the second value. V Box The Vertical box on the grid has the same pattern as the h box. D Box The first value will always be two, the second value will be the squared number from the first value in the horizontal/vertical box The algebra term Grid size h v d total 4x4 x4 x4 2x1 0 5x5 2x5 2x5 2x4 8 6x6 3x6 3x6 2x9 54 NxN (N-3)xN (N-3)xN 2x(N-3) H+V+D = total amount of winning lines Rectangle grids for connect four on next page.
Group 4 project
Electricity: Electrostatics: * Not moving charges. * Material like amber, when rubbed, can move small objects * The technical term is that the 'balloon' or likewise, is electrically charged * There are two types of charge: - positive - & negative * if we are looking at atoms, protons are positively charged and electrons are negatively charged * An object that is not charged is referred to as neutral. * A neutron has no charges * In most situations we don't look at atoms, we look at whole objects * If an object has more electrons that usual it will be negatively charged. * If it has less electrons, it will be positively charged. * In most cases we can use friction and rub electrons from one object to another to charge it. * It is important to note: - electrons do the moving, NOT protons - the charge doesn't last long due to interactions with air - it is not restricted to solids * electrostatic precipitation - in chimneys. Smoke and dust are ionized and stick to the metal plates in a chimney * the basic technique of charging small particles is how photocopiers work Charging an object * can be easy or hard depending on the conductivity of the object. * In a conductor electrons can move very easily. E.g. metals have delocalized electrons that move easily. * In an insulator electrons are NOT free. * Things you can CHARGE are insulators. Charging by
Compare and contrast the ways in which women writes connect 'writing' with'the body'.
Compare and contrast the ways in which women writes connect 'writing' with 'the body'. The two texts that I am going to consider are Jeanette Winterson's 'Written on the Body' and Charlotte Bronte's 'Wuthering Heights'. They will form some interesting contrasts and unexpected comparisons, due to the context, of different time periods. Bronte's references to the body are somewhat subtler and do not reveal explicit sexual references, but it will be fascinating to contemplate whether either text conforms to the conventions and ideas of the body within the romantic genre. I will delve into the writes attitudes to the body and how they divulge these through style, language, metaphors and above all the major theme of love. I will additionally take into account the feminist perception, particularly that of Judith Butler, and literacy criticism of the body and furthermore, touch on Freud's theory and its connection to the texts. The body has numerous definitions but even the body itself as "a. The entire material or physical structure of an organism, especially of a human or animal. b. The physical part of a person. c. A corpse or carcass."1 denotes a great deal. The body can signify numerous things within a narrative due to its sexual connotations, complexity, social values and above all connection to our identity. Both, Winterson's 'Written on the Body' and Bronte's 'Wuthering
Network NAB 4.
Network NAB 4 Peer to peer, or P2P computing has become a huge craze in the new millennium. The technology lets individuals directly chat, exchange files, and share computer power and storage space. It has changed profoundly the way people use computers. Today, current Internet users require a basic functions and software to gain access to the Internet. They simply have to connect to their ISP (Internet Service Provider), who give them a temporary IP address. ISPs also provide additional services, which we take for granted, such as pulling in your e-mail. If you were to have your own personal IP address then such facilities, as these would not be provided for you. Just witness the Napster phenomenon. With so many people sharing music files it was no wonder companies fear copy write fraud. Napster shows us the next generation of the Internet, using the technology in a different way. The software application was freely available over the Internet. It used simple technology to share music files (MP3's). With each user having a unique name, each individual can down load files from each other, and in turn people can upload from them. This distribution of files serves to bring the music community closer together. During download there is a direct point to point access between clients, witch of course is a security issue as the IP addresses of the registered computer is
I did not completely connect with any of the characters in The Curious Incident of the Dog In the Night-time.
Writer’s Notebook Entry: The Curious Incident of the Dog In the Night-time Emily Marie 3/25/12 Ms. Jojo Mod 7 . I did not completely connect with any of the characters in “The Curious Incident of the Dog In the Night-time”. A large part of what created the problems in this book was that the protagonist, Christopher, had trouble connecting to other people. He did not like people touching him and he had trouble determining emotions, facial expressions, and the tones of voices (page 3). I can relate to a few things, like liking certain colors and shapes more than others, but I can’t say that I have any idea what he goes through on a daily basis. 2. 3. I believe that what the author is really trying to say about life and living in this book is that people with disabilities, such as autism, are quite often misunderstood. Society tends to decide that if they don’t understand something, then it’s not right. When an autistic child starts screaming when you touch them or they like to be alone, the common person wouldn’t think “Well he must have a reason for it” or “He’s just taking in more details of the world than I am.” Their mind automatically blames it on the fact that they must be crazy or deranged, but in reality, they actually could be considered much more clever than most. For example, when you see a pasture with cows, you comprehend that there
How does Malvolio connect to disguise and deceit in Act 2 Scene 5?
0th October 2012 English Assessment- Twelfth night How does Malvolio connect to disguise and deceit in Act 2 Scene 5? In Act II Scene VI, we are exposed to seeing Malvolio in a different light. Firstly, we see he deceives himself, ultimately playing the role of the person he thinks he is capable of becoming. Then we see that Maria and her cohort are deceiving Malvolio, by playing a prank on him just so they can make a fool out of him for always being so bitter and serious; and lastly we see how they encourage this foolish act and what consequences it brings. To begin with, we can identify that the name ‘Malvolio’ consists of two elements “Mal” and “Volio” which are Italian words, with the meaning “ill will” suggesting his disregard of others’ pleasures. I believe that Shakespeare particularly gave this character this name, as it allows us to have a greater insight of the kind of character Malvolio is from the beginning of the play. At the beginning of Act II Scene VI we are see an intimate conversation between Sir Toby and Fabian, coming together to watch Malvolio and Maria’s prank. Sir Toby asks “Wouldst thou not be glad to have the niggardly, rascally sheep-bitter come by some notable shame? Essentially pointing out that they are pulling a prank on Malvolio and asking him if he is glad he is going to see this ‘rascal dog’ humiliated. From the
