Design: Qualitative through the Quantitative.
Design is a realm which solves the qualitative through quantitative measures. In that sense designers are anyone who sets out to complete an agenda, anyone who lends form & mass, or sometone who gives life to an idea through means of creation. What this boils down to is design as a culmination of ideas and numbers; both necessary to the whole. In a sense I view everyone as a designer, working out their ideas and expressing them in a universal qualitative form, mathematics. It is the world's universal expression because the human brain works through a complex of mathematical systems and patterns. It underlies every aspect of life, from modern language to rules and regulations of childrens games.
The politician is a designer executing ideas through creation of fiscal and social systems and policy.
For example FDR's New Deal an attempt to revitalize the economy through fiscal and monetary programs and the creation of jobs. The programs and systems created were all quantifiable is nature.
Next, the chef can be seen as a designer, in the sense that he sets out with vision and direction for a dish and does so through various measures and scales.
Finally in terms of a professional designer, mathematics is extremely vital. Mathematics allow frameworks to influence and give shape/life to a work. Math is a tool which guides the designer, allowing one to create the restrictions/measurements necessary for physical existence. Design is one part craft one part concept. The craft and execution are directly guided by mathematical principles of weight, proportion, and volume. Through restrictions a design is set free.
Here are two of my designs, which I believe show the connection of design and mathematics from a sense of quantifiable lentgth(pixels), repitition, and tessellation.
Mathematics is the key to design, unlocking ideas and concepts and opening a door through which neccessary components and systems come together in harmony.