Mathematics: Tessellations and Fractals
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Mathematics: Tessellations and Fractals

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Questions and Answers

Studying patterns help students in identifying relationship and finding logical connections to form ______ and make predictions.

generalizations

Symmetry means agreement in dimensions, due proportions, and ______.

arrangement

______ are regular, repeated, or recurring forms or designs.

Patterns

A ______ is a curve which emanates from a point, moving farther away as it revolves around the point.

<p>spiral</p> Signup and view all the answers

In the natural world, we can see the example of a spiral in the right side, that is a ______.

<p>galaxy</p> Signup and view all the answers

Fractals exhibit ______ across different scales.

<p>self-similarity</p> Signup and view all the answers

A meander is one of a series of regular sinuous, curves, bends, loops, turns, or windings in the channel of a river, stream, or other watercourse. It is an example of a pattern in ______.

<p>nature</p> Signup and view all the answers

A wave is a disturbance that transfers energy through matter or space. Waves consist of oscillations or vibrations of a physical medium or a field, around relatively fixed locations. This demonstrates self-similarity across different ______.

<p>scales</p> Signup and view all the answers

Foam is a substance formed by trapping pockets of gas in a liquid or solid. A bath sponge and the head on a glass of beer are examples of foams. Soap foams are also known as ______.

<p>suds</p> Signup and view all the answers

A tessellation of a flat surface is the tiling of a plane using one or geometric shapes, called tiles, with no overlaps and no gaps. This is an example of a pattern involving ______.

<p>shapes</p> Signup and view all the answers

A meander is produced by a stream or river swinging from side to side as it flows across its floodplain or shifts its channel within a valley. This process involves the development of displacement discontinuity ______.

<p>surfaces</p> Signup and view all the answers

A wave is a disturbance that transfers energy through matter or space. Surface waves in water show ripples. This is an example of a pattern involving ______.

<p>stripes</p> Signup and view all the answers

In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 8 / 15 Examples of Patterns in Nature A fracture or crack is the separation of an object or material into two or more pieces under the action of stress. The fracture of a solid usually occurs due to the development of certain ______ within the solid.

<p>displacement discontinuity surfaces</p> Signup and view all the answers

Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 9 / 15 Examples of Patterns in Nature Stripes are made by a series of bands or strips, often of the same width and color along the length. Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 10 / 15 Examples of Patterns in Nature A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc. Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 11 / 15 Evaluation On your way home, or way to school, or anywhere, look around and spot one thing in which you can see a pattern. Take a picture, post it in your Facebook account, with your full name, course, year, and section, and with a short caption. Rene L. Look around and spot one thing in which you can see a ______.

<p>pattern</p> Signup and view all the answers

In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 8 / 15 Examples of Patterns in Nature A fracture or crack is the separation of an object or material into two or more pieces under the action of stress. The ______ of a solid usually occurs due to the development of certain displacement discontinuity surfaces within the solid.

<p>fracture</p> Signup and view all the answers

Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 10 / 15 Examples of Patterns in Nature A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc. Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 11 / 15 Evaluation On your way home, or way to school, or anywhere, look around and spot one thing in which you can see a pattern. Take a picture, post it in your Facebook account, with your full name, course, year, and section, and with a short caption. Rene L. Fractals are ______ complex patterns that are self-similar across different scales.

<p>infinitely</p> Signup and view all the answers

In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 8 / 15 Examples of Patterns in Nature A ______ or crack is the separation of an object or material into two or more pieces under the action of stress.

<p>fracture</p> Signup and view all the answers

Rene L.Duhilag Jr., BS Math Lecture 01 - Patterns and Numbers in Nature and the World 10 / 15 Examples of Patterns in Nature A fractal is a never-ending pattern. Fractals are ______ complex patterns that are self-similar across different scales.

<p>infinitely</p> Signup and view all the answers

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