14. Match the words and phrases (1-10) from the text with their definitions (a-j).

    iterative	an expression, such as a polynomial, each term of which is determined by application of a formula to preceding terms
    scale	a figure or surface generated by successive subdivisions of a simpler polygon or polyhedron, according to some iterative process
    fractal	involving chance or probability or containing a random variable or variables
    recursive	a sequence of marks either at regular intervals or else representing equal steps used as a reference in making measurements
    quasi	the degree or quantity represented on a measuring instrument or device
    deterministic	characterized by or involving repetition
    stochastic	an inevitable consequence of antecedent sufficient causes
    replica	the property of having a substructure analagous or identical to an overall structure.
    self-similarity	almost but not really; seemingly; so-called
    indication	a copy or reproduction, especially one on a scale smaller than the original

15. Fill the gaps in the sentences with the correct words from the text. The first letter has been given.

1. With bolt temperatures hotter than the surface of the sun and shockwaves beaming out in all directions, l_______ is a lesson in physical science.

2. Vegetable garden s_____ is a mix of clay, silt, sand, organic materials, and porous space.

3. Studio c______ includes studio pottery, metal work, weaving, paper and wood working, and glass blowing.

4. Will we run out of magma, or is there an i______ supply within the Earth's crust?

5. Smalti have a r______ surface and contain tiny air bubbles.

6. The history of m_______ goes back some 4,000 years or more, with the use of terracotta cones pushed point-first into a background to give decoration.

7. Each fractal is composed of a single geometric pattern repeated thousands of times at different m__________.

16. Fill the gaps with the words given below.

solids, space, fractal, dimension, curves, flat, phenomena, spheres, plane, integer, fills, twists, surface, approaches, straight

Classical geometry deals with objects of 1)…… dimensions: zero dimensional points, one dimensional lines and 2)……, two dimensional 3)…… figures such as squares and circles, and three dimensional 4)…… such as cubes and 5)……. However, many natural 6)…… are better described using a dimension between two whole numbers. So while a 7)…… line has a dimension of one, a 8)…… curve will have a dimension between one and two, depending on how much 9)…… it takes up as it 10)…… and curves. The more the 11)…… fractal 12)…… a plane, the closer it 13)…… two dimensions. Likewise, a "hilly fractal scene" will reach a 14)…… somewhere between two and three. So a fractal landscape made up of a large hill covered with tiny mounds would be close to the second dimension, while a rough 15)…… composed of many medium-sized hills would be close to the third dimension.

17. Find and cross out extra words in the text. There are 10 unnecessary words.

Computer graphic and artists use many of fractal forms to create textured landscapes and other intricate models. It is possible to create in all sorts of realistic "fractal forgeries" images of natural scenes, such as lunar landscapes, also mountain ranges and the coastlines. We can see them in much many special effects in Hollywood movies and also in fractal television advertisements. The "Genesis effect" in the film "Star Trek II - The Wrath of Khan" was been created without using fractal landscape algorithms, and in "Return of the Jedi" fractals were being used to create the geography of a moon, and to draw the outline of the dreaded "Death Star".