Patterns in Nature PDF

Mathematics in the Modern World Prepared by: HAZEL G. DIAZ  Math is a way of looking at and understanding the world. According to Stewart (1989), mathematics is a formal system of though of recognizing, classifying, and exploiting patterns. PATTERNS Patterns are regular, repeated, and/...

Mathematics in the Modern World Prepared by: HAZEL G. DIAZ  Math is a way of looking at and understanding the world. According to Stewart (1989), mathematics is a formal system of though of recognizing, classifying, and exploiting patterns. PATTERNS Patterns are regular, repeated, and/or recurring arrangement of number, shapes, colors, designs, etc. GEOMETRIC PATTERNS -are based on repeating shapes, lines, and angles. They are often found in architecture, textiles, and art. Squares- are simple and versatile. They can be used to create a variety of patterns, from simple grids to complex tessellations. Triangles-are strong and stable. They can be used to create dynamic and interesting patterns. Circles-represent unity and harmony. They are often used in patterns to create a sense of balance and flow. Natural patterns include: ✔ Symmetries ✔ Tessellations ✔ Fractals ✔ Chaos ✔ Others (e.g. stripes, spots, etc…) 1. Symmetry The word symmetry comes from the Greek word symmetria, meaning “the same measure”. Aside from mathematics, symmetry also has many applications in arts and architecture. There is symmetry in logos, flags, buildings, paintings, and many more. Symmetry, also bounds in nature. The most common type of symmetry found in nature are reflection, translation, rotation, and spiral. Patterns in Nature: Symmetries 1.1.Reflection Symmetry If you fold a picture in half and both halves are exact mirror image of one another, then the figure has a reflection symmetry (sometimes called bilateral or mirror symmetry) Figure 2 The fold is what we call the line or axis of symmetry. 1.2. Translational Symmetry Figure 8. Translation Symmetry in Figure 9. Translation Symmetry Leaves in Birds (Source: http://www.shivacharity.com/symmetry.html) (Source: https://windagainstcurrent.com/2015/02/13/symmetry/) CENTRAL LUZON STATE UNIVERSITY Assignment 1 (Nature Photography and DIY Tessellation using Rubric) Tessellation Output Rubric Overall Quality References ❑ Adam, J. A. (2011). Mathematics in nature: Modeling patterns in the natural world. Princeton University Press ❑ Adam, J. A. (2011). A mathematical nature walk. Princeton University Press. ❑ Aufmann, R., Lockwood, J., Nation, R., & Clegg, D. K. (2012). Mathematical excursions. Nelson Education. ❑ Bansa, H. E. & Bagano, D.C. (2023). Mathematics in the modern world. Mutya Publishing House, Inc. ISBN 978-621-08-0012-8 ❑ Jamison, R. E. (2000). Learning the language of mathematics. Language and Learning across the Disciplines, 4(1). ❑ Stewart, I. (2008). Nature’s numbers: The unreal reality of mathematics. Basic Books. ❑ De Quina, R. D. (2022). Powerpoint Presentation on Mathematics in the Modern World (Unpublished)