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Questions and Answers
What defines a pattern in nature?
Which type of symmetry involves equal dimensions on both sides of an imaginary line?
What is a characteristic of a logarithmic spiral?
What is a meander in the context of natural patterns?
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What describes a tessellation?
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Which statement describes a wave in physical terms?
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What is one characteristic of an equiangular spiral?
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Which of the following is NOT a type of symmetry mentioned?
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Study Notes
Patterns
- Patterns are regular, repeated, recurring forms or designs.
- Studying patterns helps you identify relationships and logical connections.
Patterns in Nature
- Are visible regularities found in the natural world.
- Not man-made.
Regularity
- Is the fact that the same thing always happens in the same circumstances.
Natural Patterns
- Include:
- Symmetry
- Spiral
- Meander
- Wave
- Foam
- Tessellation
Symmetry
- Means agreement in dimensions, due proportion and arrangement.
- In Mathematics, “symmetry” means that an object is invariant to any various transformations including reflections, rotation, or scaling.
Basic Types of Balance/ Symmetry
-
Symmetric/ Bilateral Symmetry
- If we put an imaginary line in the center of an object, both sides must be equal.
- Leonardo da Vinci's Virtuvian Man is an example of bilateral symmetry.
-
Asymmetric Symmetry:
- Other types of symmetry depend on the number of sides or faces that are symmetrical.
- This is called Rotational Symmetry.
- A more common way of describing a Rotational Symmetry is by finding the order of rotation.
- Angle of rotation =
Spiral
- A curve emanates from a point, moving farther away as it revolves around the point.
- If you cut away a nautilus shell it shows the chamber arranged in an approximately logarithmic spiral.
- Albrecht Durer is credited with first describing a logarithmic spiral, calling it an “eternal line”.
-
Equiangular Spiral:
- Follows the rule that as the distance from the spiral to the center increases (radius) the amplitudes of the angles formed by the radii to the point and the tangent to the point remain constant.
Meander
- One of a series of sinuous curves, bends loops, turns or winding in the channel of river.
Wave
- A disturbance in a field that transfers energy through matter or space.
- Waves are created from vibrations of physical mediums or a field.
Foam
- A substance formed by trapping pockets of gas in a liquid or solid.
Tessellation
- Is a flat surface, formed by tilling of a plane using one or more geometric pieces called tiles, with no overlaps and no gaps.
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Description
Explore the fascinating world of patterns found in nature and their mathematical significance. This quiz delves into the types of regularities, particularly focusing on symmetry, spiral formations, and more. Understand how these patterns help in identifying relationships and logical connections around us.
