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Mathematics in Design: The Language of Geometric Transformation

Explore the strong mathematical connections in design, from corporate logos to architecture, art, and more. Learn about geometric transformations and how they shape the world around us. This unit delves into coordinate geometry, algebraic functions, and constructions, incorporating graphs, geometrical instruments, and technology. Get ready to reflect, rotate, enlarge, translate, tessellate, stretch, and more!

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Mathematics in Design: The Language of Geometric Transformation

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  1. Does Design need Mathematics? Human Ingenuity

  2. Shape, change and movement Some striking designs can be thought of as basic geometric shapes, which have been mathematically transformed:

  3. Shape, change and movement

  4. The world of advertising We see strong mathematical connections in corporate logos:

  5. The world of architecture We see strong mathematical connections in architecture:

  6. It’s everywhere! Flags:

  7. It’s everywhere! From Celtic Knots to Islamic Art to Tattoos and Body Art:

  8. The world of art We see strong mathematical connections in art. Here are some works by, or inspired by Escher:

  9. So what’s this unit about? It leans heavily on the language of geometrical transformation We will need to know and be able to use these words and terms (and others like them): REFLECT ROTATE ENLARGE TRANSLATE TESSELLATION STRETCH SHEAR LINE SYMMETRY ROTATIONAL SYMMETRY

  10. … tell me more … We will need to understand the mathematics of geometric transformations – both on shapes and on mathematical functions. To do this we need to be comfortable with coordinate geometry, with algebraic functions and with loci and constructions (don’t worry – we’ll get a chance for quick revision sessions. So …. You’ll be working on graphs, you’ll be using geometrical instruments and you’ll be using technology!

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