Compare "The Red Room" By H .G. Wells and "Farthing House" By Susan Hill
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Investigate different sized cubes, made up of single unit rods and justify formulae for the number of rods and joints in the cubes.
Maths Coursework: Cubes, Rods, Cuboids Introduction I am going to investigate different sized cubes, made up of single unit rods and justify formulae for the number of rods and joints in the cubes. The cubes are made from single unit rods and are not hollow, meaning that the unit rods are constructed inside the cube making smaller, similar cubes inside of the default one. The only cube not to be made up of smaller cubes will be the 1x1x1 cube as this is the simplest form of cube and will, therefore not have any unit rods inside it. These cubes can be found on (sheet 1) The individual unit rods in the structure are held together by a series of different types of joints, as shown below. 3 joints - found on the vertices of the cube and connect three different rods together. 4joints - found on the edges of the cube and connect four different rods together 5 joints - found on the faces of the cube and connect five different rods together 6 joints - found on the inside of the cube and connect six different rods together. Without using diagonals, this is the most amounts of rods to join together. 3 Joints 4 Joints 5 Joints 6 Joints Number of Joints x 1 x 1 8 0 0 0 46 2 8 2 6 33 3 8 24 24 8 244 4 8 36 54 27 24 5 8 48 96 64 046 The problem is to find formulae that represent the number of rods, 3 joints, 4 joints, 5 joints and 6 joints in
To investigate the hidden faces and the number of faces seen on a cube or a cuboids when it’s placed on a table.
Cubes Aim: To investigate the hidden faces and the number of faces seen on a cube or a cuboids when it's placed on a table. Introduction: My task is to find out the hidden faces and the number of faces seen on a cube or cuboids. When a cube is placed on a table only 5 of the faces can be seen. So 1 face is hidden. Here are the tables and results we did to find out the over all formula: ) Number of cubes (x) Hidden faces Number of faces seen Total faces 5 6 2 4 8 2 3 7 1 8 4 0 4 24 5 3 7 30 0 28 32 60 5 43 47 90 20 57 63 20 x= number of cubes 3x+2= Number of faces seen These are the 3 faces seen they are same for each cube in the row, that's why I multiplied it by 3. The 2 sides at the end needed to be added and these are the extra faces seen on the side. 3x-2= Hidden faces Number of cubes multiplied by 3, I've done this because on each cube you can see 3 faces including the middle cubes, we than minus 2 because there's 2 extra faces seen at the ends, we took this as though we couldn't see it. So the formula is 3x-2, this is opposite to the number of faces. I tried other formulas at first but none of them worked and so I found different which worked. 2) Number of cubes (x) Hidden faces Number of faces seen Total faces 5 6 2 3 9 2 3 5 3 8 4 7 7 24 5 9 21 30 0 9 41 60 Number of faces seen= 4x+1
An Investigation To Look At Shapes Made Up of Other Shapes
Liam whooley Summary I am doing an investigation to look at shapes made up of other shapes (starting with triangles, then going on squares and hexagons. I will try to find the relationship between the perimeter (in cm), dots enclosed and the amount of shapes (i.e. triangles etc.) used to make a shape. From this, I will try to find a formula linking P (perimeter), D (dots enclosed) and T (number of triangles used to make a shape). Later on in this investigation T will be substituted for Q (squares) and H (hexagons) used to make a shape. Other letters used in my formulas and equations are X (T, Q or H), and Y (the number of sides a shape has). I have decided not to use S for squares, as it is possible it could be mistaken for 5, when put into a formula. After this, I will try to find a formula that links the number of shapes, P and D that will work with any tessellating shape - my 'universal' formula. I anticipate that for this to work I will have to include that number of sides of the shapes I use in my formula. Method I will first draw out all possible shapes using, for example, 16 triangles, avoiding drawing those shapes with the same properties of T, P and D, as this is pointless (i.e. those arranged in the same way but say, on their side. I will attach these drawings to the front of each section. From this, I will make a list of all possible combinations of P, D and T
Virtul Orgniztions
Virtu?l Org?niz?tions On? of th? most int?r?sting org?niz?tion structur?s in inform?tion ?g? is th? virtu?l corpor?tion (virtu?l org?niz?tion). ? virtu?l corpor?tion is ?n org?niz?tion compos?d of s?v?r?l busin?ss p?rtn?rs, which through ?l?ctronic coop?r?tion sh?r? costs ?nd r?sourc?s for th? purpos? of producing ? product or s?rvic? ?nd incr??s? r?v?nu?s. P?rm?n?nt virtu?l org?niz?tions ?r? d?sign?d to cr??t? or ?ss?mbl? productiv? r?sourc?s r?pidly, fr?qu?ntly, or to cr??t? or ?ss?mbl? ? bro?d r?ng? of productiv? r?sourc?s. Th? cr??tion, op?r?tion, ?nd m?n?g?m?nt of virtu?l org?niz?tions ?r? h??vily d?p?nd?nt on inform?tion syst?ms. Th? m?jor go?ls th?t virtu?l org?niz?tions pursu? ?r?: • ?xc?ll?nc?: ??ch p?rtn?r brings its cor? comp?t?nc?. • Utiliz?tion: R?sourc?s of p?rtn?rs ?r? utiliz?d mor? profit?bly. • Opportunism: M?rk?t opportunity c?n b? m?t b?tt?r tog?th?r th?n by ??ch individu?l comp?ny. In most c?s?s p?rtn?rs coop?r?t? within th? supply ch?in of ?n org?niz?tion. How?v?r, virtu?l org?niz?tions ?r? not n?c?ss?rily org?niz?d ?long th? supply ch?in. For ?x?mpl?, ? busin?ss p?rtn?rship m?y includ? s?v?r?l p?rtn?rs, ??ch cr??ting ? portion of product or s?rvic? in ?n ?r?? in which th?y h?v? sp?ci?l ?dv?nt?g?; such ?s ?xp?rtis? or low costs. Th?r?for? virtu?l org?niz?tions c?n b? vi?w?d ?s ? n?twork of cr??tiv? p?opl?, r?sourc?s ?nd id??s conn?ct?d by
I am doing an investigation to look at shapes made up of other shapes (starting with triangles, then going on squares and hexagons. I will try to find the relationship between the perimeter (in cm), dots enclosed and the amount of shapes
GCSE Maths Coursework - Shapes Investigation Summary I am doing an investigation to look at shapes made up of other shapes (starting with triangles, then going on squares and hexagons. I will try to find the relationship between the perimeter (in cm), dots enclosed and the amount of shapes (i.e. triangles etc.) used to make a shape. From this, I will try to find a formula linking P (perimeter), D (dots enclosed) and T (number of triangles used to make a shape). Later on in this investigation T will be substituted for Q (squares) and H (hexagons) used to make a shape. Other letters used in my formulas and equations are X (T, Q or H), and Y (the number of sides a shape has). I have decided not to use S for squares, as it is possible it could be mistaken for 5, when put into a formula. After this, I will try to find a formula that links the number of shapes, P and D that will work with any tessellating shape - my 'universal' formula. I anticipate that for this to work I will have to include that number of sides of the shapes I use in my formula. Method I will first draw out all possible shapes using, for example, 16 triangles, avoiding drawing those shapes with the same properties of T, P and D, as this is pointless (i.e. those arranged in the same way but say, on their side. I will attach these drawings to the front of each section. From this, I will make a list of all
"With reference to theories of visual object recognition outline the ways in which faces appear to be "special". How might such appearances be deceptive and in what ways does this bear on competing theories".
"With reference to theories of visual object recognition outline the ways in which faces appear to be "special". How might such appearances be deceptive and in what ways does this bear on competing theories". Visual perception is an extremely active process in which the perceiver looks beyond the information that is given to construct a vision that can be interpreted and constructed to make sense in the visual world. Many theorists have come up with different ideas of how we perceive objects and recognise them to be what they actually are. Constructivists believe that we perceive things based on our expectations and knowledge of the world and that we are influenced by a hypothesis. This in contradiction compares to the ecological approach, which looks more scientifically at the idea of an optical array. From these initial ideas theorists such as Bierderman and Marr have based their theories of object recognition and constructed such ideas based around how we come to see an object through a series of different stages (Eysenck and Keane, 2001). Through looking at object recognition the question arises 'are faces interpreted in the same manner or are they recognised differently?'. This question has lead to research based on whether faces are constructed as a structural element or as an image as a whole. These theories will be examined to discover the ways in which faces appear
Look at shapes made up of other shapes, try to find relationships between the perimeter (in cm), dots enclosed and the amount of shapes (i.e. triangles etc.) used to make a shape.
Summary I am doing an investigation to look at shapes made up of other shapes (starting with triangles, then going on squares and hexagons. I will try to find the relationship between the perimeter (in cm), dots enclosed and the amount of shapes (i.e. triangles etc.) used to make a shape. From this, I will try to find a formula linking P (perimeter), D (dots enclosed) and T (number of triangles used to make a shape). Later on in this investigation T will be substituted for Q (squares) and H (hexagons) used to make a shape. Other letters used in my formulas and equations are X (T, Q or H), and Y (the number of sides a shape has). I have decided not to use S for squares, as it is possible it could be mistaken for 5, when put into a formula. After this, I will try to find a formula that links the number of shapes, P and D that will work with any tessellating shape - my 'universal' formula. I anticipate that for this to work I will have to include that number of sides of the shapes I use in my formula. Method I will first draw out all possible shapes using, for example, 16 triangles, avoiding drawing those shapes with the same properties of T, P and D, as this is pointless (i.e. those arranged in the same way but say, on their side. I will attach these drawings to the front of each section. From this, I will make a list of all possible combinations of P, D and T (or later Q
An investigation for working out hidden faces as different number of cubes are joined by making different shapes.
Amit Patel Mathematics Coursework An investigation for working out hidden faces as different number of cubes are joined by making different shapes. As part of my GCSE mathematics requirements I have been assigned to investigate the number of hidden faces as cubes are joined in various way I shall start by making diagrams on the dotted paper provided and shall work out an expression (formula) which will reflect a relationship between the hidden faces and the number of cubes used. Part 1: Number of cubes * When I take a single cube and place it on dotted paper I can see 1 face hidden and faces visible from total of 6 faces. * Similarly when I join 2 cubes and place them flat on a surface I can figure out that 4 faces are hidden and 8 are visible from a total of 12 cubes. * When 3 cubes are joined to a similar pattern as mentioned above a total of 7 hidden faces and 11 visible faces out of a possible 18 faces observed I am presenting a small table which describes the number of cubes used, the hidden faces, the visible faces and the total number of faces nth term No of cubes No of hidden faces No of visible faces No of total faces 5 6 2 2 4 8 2 3 3 7 1 8 4 4 0 4 24 5 5 3 7 30 6 6 6 20 36 7 7 9 23 42 From the above table a simple sequence can be formed and an nth term of the sequence can be worked out Sequence for hidden faces 4
Find out how many different combinations 5 cubes can make on top of a 2 by 3 base.
) I want to find out how many different combinations 5 cubes can make on top of a 2 by 3 base Because the 5 cubes are on top of a base with 6 spaces on it there will always be one place free on the base (with out a cube on it) so this space can be moved around the base thus rearranging the cubes so creating different combinations. Because there are only 6 spaces on the base (refer to Fig1) and only one space without a cube on it, this space can only be moved to 6 different spaces (refer to fig2) so making six different arrangements. So the number of combinations that can be made is limited by the number of places the space can be moved to so as there are 6 spaces on the base, 6pplaces to put a space, 6 combinations can be made (number of places to put a space = number of combinations that can be made) Fig1: The area of the base equals the number of spaces. 3 2 X 3 =6 2 Fig2: SP= space without cube on it. The space can be moved round to 6 different places so 6 different arrangements can be made (space can be moved to any of the spaces on the base to make a different combinations) Fig 3: The 6 combinations Square with cube Empty space This diagram of the 6 combinations shows the symmetry of the combinations when