Nobody downloaded yet

Maths investigation - Essay Example

Comments (0) Cite this document
At stage 1 each side of the equilateral triangle is replaced by the zigzag line as shown on the page 7 against the label stage 1 with each segment of the zigzag line being of length 1/3. At this stage for each side of the equilateral triangle in the stage 0 there are 4 sides and thus the total number of sides is 4*3=12 and perimeter is calculated by the number of sides times the length of a side in this stage i.e…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER97.7% of users find it useful
Maths investigation
Read TextPreview

Extract of sample
"Maths investigation"

Download file to see previous pages 1/3*1/3=1/9. Thus the number of sides is increased by 4 times i.e. 4*12=48. Length of the side is decreased by 3 times. The perimeter is calculated directly as number of sides in this stage multiplied by the length of the side in the same stage i.e.48*1/9. Now each side in the previous stage gives rise to one equilateral triangle in this stage with side 1/3 of the side in the previous stage i.e.1/9. Therefore the number of new triangles added in this stage is equal to the number of sides in the previous stage i.e. 12. Therefore the area in this stage is calculated as the area in the previous stage plus the sum of the areas of the newly developed triangles.
In the above graph the stage number is taken on x-axis and the no. of sides are taken on y-axis. It shows that the no. of sides increases with the stage number. As n-> Nn ->, since in the limiting situation the fractal does not have an edge but is bound by a smooth curve.
In general for any n>0 ,
Nn = 3*4n = N0*4n

the graph shows that the length of side decreases with the stage no. and finally converges to 0. i.e. the limiting fractal will not have any edges but will be bound by a smooth curve.
In general
In = 1/3n

The graph shows that the perimeter increases with the stage no. but it cannot tend to infinity as the area is bounded by 0.7 as can be seen from the subsequent graph.
in general
Pn = Nn*In

Q7 part 2) The graph shows that area increases with stage number but it does not exceed 0.7 as the curve is tangential to the line y=0.7. in fact as n-> the area tends to 0.7.
In general
An = A0(1+3(k=0 to k=n-1, j=1 to j=n-1[4k*1/32*j]))
= A0(1 + 3(40*1/32 + 41*1/34 + 42*1/36 +..+ ...Download file to see next pagesRead More
Cite this document
  • APA
  • MLA
(“Maths investigation Essay Example | Topics and Well Written Essays - 750 words”, n.d.)
Maths investigation Essay Example | Topics and Well Written Essays - 750 words. Retrieved from
(Maths Investigation Essay Example | Topics and Well Written Essays - 750 Words)
Maths Investigation Essay Example | Topics and Well Written Essays - 750 Words.
“Maths Investigation Essay Example | Topics and Well Written Essays - 750 Words”, n.d.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document
Misconception in maths
Problem A: Two examples of student’s misconception that could cause this error can be firstly the concept of multiplication of signed numbers is not clear among the students. They might have a misconception that when numbers of opposite signs are multiplied with each other the sign of the greater number which is multiplied will be there on the product or will affect the sign of the product.
1 Pages(250 words)Essay
Maths investigation Mathimatical modeling volumes of cones
3 Pages(750 words)Essay
2 Pages(500 words)Essay
Memory Game maths GCSE
It enables us to learn new skills and to form habits. Without the ability to access past experiences or information, we would be unable to comprehend language, recognize our friends and family members, find our way home, or even tie a shoe. Life would be a series of disconnected experiences, each one new and unfamiliar.
4 Pages(1000 words)Essay
Oracy in Teaching Maths and Science
Talking also helps the children to think aloud and to think logically, and to discuss, to reason and to present the information and their thoughts effectively and with clarity. Talking involves two essential elements - the 'process' of using the spoken language and the 'content' of the language used.
10 Pages(2500 words)Essay
Maths Coursework Investigating Borders
Now we list the total number of squares for patterns beginning from pattern 1 and onwards. Then we list the difference between two adjoining values and the third row gives the difference
4 Pages(1000 words)Essay
Gcse maths course work
ar grids whose columns exceed the rows by only one unit in the grid, however we will investigate the relationship that exist in the rectangles whose rows exceed the columns by one unit, therefore we will consider a 3X2, 4X3 and 5X4. From the above calculations we can conclude
12 Pages(3000 words)Essay
A logistic model takes a similar form to the geometric, but the growth factor depends on the size of the population and is variable. The growth factor is often estimated as a linear function by taking estimates of the projected initial growth rate and the eventual
10 Pages(2500 words)Essay
Mechanical Engineer Technology Career Investigation Report
erested in studying mechanical engineering technology programme because it is a matter-of-fact, modern short course that enables me to develop strong industrial, evaluating, and setback unravelling skills, which are compulsory in the competitive field of mechanical engineering.
1 Pages(250 words)Essay
Maths Construction
c) Company Building Control design produces resistors by specification. The resistance R is given by R= R0 (1+αt). R0 is the
2 Pages(500 words)Essay
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Let us find you another Essay on topic Maths investigation for FREE!
Contact us:
Contact Us Now
FREE Mobile Apps:
  • About StudentShare
  • Testimonials
  • FAQ
  • Blog
  • Free Essays
  • New Essays
  • Essays
  • Miscellaneous
  • The Newest Essay Topics
  • Index samples by all dates
Join us:
Contact Us