Pattern and Number in Nature and the World PDF

Pattern and Number in Nature and the World PATTERN - regular, repeated, recurring forms or designs. Why is it patterns are helpful Studyingto you?helps you in patterns identifying relationship and finding logical connections to form Activity 1: Directions: Analyze and ans...

Pattern and Number in Nature and the World PATTERN - regular, repeated, recurring forms or designs. Why is it patterns are helpful Studyingto you?helps you in patterns identifying relationship and finding logical connections to form Activity 1: Directions: Analyze and answer the given and identify what pattern is shown below. 1. ________ 2. 1, 3, 5, 7, 9, _______ Pattern in Nature - Are visible regularities form found in the natural world. - Not man - made Regularity - is the fact that the same thing always happen in the same circumstances. atural Patterns includes: 1. 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. sic Types of Balance/ Symmetry A. Symmetric / Bilateral Symmetry - If we put an imaginary line in the center of an object, both sides must be equal. Virtuvian Man by Leonardo da Vinci 2. Asymmetric Symmetry * There are other types of symmetry depending on the number of sides or faces that are symmetrical are called Rotational Symmetry. * A more common way of describing a Rotational Symmetry is by finding the order of rotation. Angle of rotation = 2. Spiral - a curve emanates from a point, moving farther away as it’s revolve around the point.  * If you cutaway a nautilus shell shows the chamber arrange in an approximately logarithmic spiral. Albrecht Durer - Who first describe a logarithmic spiral called 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 3. Meander - one of a series of sinuous curves, bends loops, turns or winding in the channel of river. 4. Wave - A disturbance in a field that transfer energy through matter or space. * Wave is created from vibrations of physical medium or a field. 5. Foam - Is a substance formed by trapping pockets of gas in a liquid or solid. 6. 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. 7. Fracture or Crack - Is the separation of an object or material into two or more pieces under the action of stress. 8. Stripes - Are made by a series of bands or strips, often of the same width and color along the length. 9. Fractal - Are infinitely complex pattern that are self- similar across different scales. - Never-ending Pattern 0. Affine Transformation - Process of rotation, reflection and scaling.