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Fractals Inspiration Elisa Paroli Jessica Celestino Martina Capozio Andrea Bianchi
Fractals in nature There are many types of natural Fractals such as roses, daisies and violets
artificial Fractals There are many types of artificial fractals such as floors, windows and rosettes.
Natural fractals There are other types of natural Fractals. An excellent example is the starfish.
From natural to artificial
Fractal definition A fractal is a geometric object that is similar to itself on all scales. If you zoom in on a fractal object it will look similar or exactly like the original shape. This property is called self- similarity.
Fractal Dimension and Applications in Landscape Ecology Jiquan Chen University of Toledo Feb. 21, 2005 The Euclidean dimension of a point is zero, of a.
Iterative Process. A process of repeating the same procedure over and over again.A process of repeating the same procedure over and over again.
Lamp design inspired by architecture. Some examples…hanging from the ceiling.
Self-Similarity Some examples. Self-Similarity in the Koch Curve Fractals usually possess what is called self-similarity across scales. That is, as one.
Factors, Prime Numbers & Composite Numbers. Definition Product – An answer to a multiplication problem. Product – An answer to a multiplication problem.
Similar Right Triangle Theorems Theorem 8.17 – If the altitude is drawn to the hypotenuse if a right triangle, then the two triangles formed are similar.
The Geometry of LongHouse Dr. Goodwin “Doc” Fall 2012.
Pretest Clear everything off your desk except for a pencil and calculator. Pretest.
EARTH SCIENCE. THE FOUR BRANCHES OF EARTH SCIENCE Geology – the scientific study of the origin, history, and structure of the Earth and the processes.
Modelling and Simulation 2008 A brief introduction to self-similar fractals.
Know and apply properties of congruent and similar figures to solve problems and logically justify results.
Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.
Find the geometric mean between: 1.6 and and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Warm-up!!
The Important Thing About Shapes Written by: K. Gooding.
1.2 ANGLE RELATIONSHIPS AND SIMILAR TRIANGLES. I. Geometric Properties Vertical Angles: have equal measures Parallel Lines: in the same plane but do not.
Day 1 5-Minutes Investigating Area by Folding Paper From Mark Driscoll's Fostering Geometric Thinking.
ADVANCED GEOMETRY 3.1/2 What are Congruent Figures? / Three ways to prove Triangles Congruent. Learner Objective: I will identify the corresponding congruent.
Find the geometric mean between: 1.4 and and and and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.
Wavelet Analysis of Shannon Diversity (H’) 1500 Old Harvest Landing Sand Road- Mod. Use Sand Road- Light Use Clearing Access Road Resolution.
Geometry Notes Lesson 4.3B – Similarity and Scale Drawings T.2.G.1 Apply congruence (SSS …) and similarity (AA …) correspondences and properties of figures.
Euclidean Dimension = E Plane Line Point Solid & space.
Term Transformation Describe The change in the position of a geometric figure, the pre-image, that produces a new figure called the image Representation.
Sketch and label two similar rectangles with a scale factor of one and different orientations. List the corresponding parts of the two rectangles. S T.
© T Madas. Every length has doubled The Scale Factor is 2 Object Image Scale factor is the number of times the lengths of the original shape have been.
Parallelogram in Quadrilateral. Using a compass, bisect each side of the quadrilateral and mark its midpoint. Join these midpoints, in order, to form.
The infinitely complex… Fractals Jennifer Chubb Dean’s Seminar November 14, 2006 Sides available at
Scale factor Surface Area and Volume. Scale factor Scale factor is a number that you multiply a measurement by to increase or decrease in size.
1 What did we learn before?. 2 line and segment generation.
Activity 1-5: Kites and Darts
Fractional Dimension! Presentedby Sonali Saha Sarojini Naidu College for Women 30 Jessore Road, Kolkata
Fractal Euclidean RockCrystal Single planet Large-scale distribution of galaxies.
Dilations Advanced Geometry Similarity Lesson 1A.
QUICK REVIEW THE ELEMENTS OF DESIGN The elements of design are the ingredients that go into a recipe, while the principles of design are the recipe telling.
4.2 Congruence and Triangles Two geometric figures are congruent if they have exactly the same size and shape. When two figures are congruent corresponding.
This is Not a Book About …. Author: Illustrator: Class: Date:
By Derrick Moore And Dakota Boren. Identify congruent or similar solids. State the properties of similar solids.
Fractals Cassi Blum. What is a fractal? –noun Mathematics, Physics. a geometrical or physical structure having an irregular or fragmented shape at all.
Elevation- an artistic drawing of the set from the audience’s point of view.
Looking Ahead p. 3. Looking Ahead p. 4 SS Inv. 1.1 SS Inv. 1.2 Vocabulary: SimilarScale drawingImage Corresponding sidesCorresponding Angles.
Chapter 12. For each example, how would I get the first image to look like the second?
Chapter 7 Vocab Review. 1. Write the generic formula (proportion) for geometric mean (x) of two positive numbers a & b.
Fun with Fractals The Mandelbrot Set J Sweeney What is a fractal? Fractals are mathematical structures defined by three properties –Iterative –Self-similar.
Fractals. Most people don’t think of mathematics as beautiful but when you show them pictures of fractals…
Rose Windows by Randy Farley. What are some of the different forms art can take? Drawings Paintings Murals Buildings Sculptures Clay pieces Video games.
Geometric Shape & Repetition Faces. Geometric Shapes: Geometric Shapes can be plotted mathematically. These include two dimensional shapes such as circles.
Scale factor By: Camila Duque 7.2. What is scale factor? The number of times a corresponding side is multiplied from an original shape to another.
Fractals smooth surfaces and regular shapes - Euclidean-geometry methods -object shapes were described with equations natural objects - have irregular.
Activation—Unit 5 Day 1 August 5 th, 2013 Draw a coordinate plane and answer the following: 1. What are the new coordinates if (2,2) moves right 3 units?
A B CA’ B’ C’ Similar Shapes The following diagram shows an enlargement by a scale factor 3 of triangle ABC Note Each length on the enlargement A’B’C’
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