*Note: This is an abbreviated Project Idea, without notes to start your background research, a specific list of materials, or a procedure for how to do the experiment. You can identify abbreviated Project Ideas by the asterisk at the end of the title. If you want a Project Idea with full instructions, please pick one without an asterisk.
How do you turn a 2-dimentional piece of paper into a 3-dimentional work of art? Origami, the classical art of Japanese paper folding, is loaded with mathematical themes and concepts. What are the common folds in origami, and how do they combine to create 3-dimentional structure? Can you classify different types of origami into classes based upon the types of folds they use? Can you show Kawasaki's Theorem, that if you add up the angle measurements of every other angle around a point, the sum will be 180? (Andersen, 2004) Can you show that Huzita's Axioms, a set of seven rules of paper folding, are true? (Wikipedia contributors, 2006)
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If you like this project, you might enjoy exploring these related careers:
Mathematicians are part of an ancient tradition of searching for patterns, conjecturing, and figuring out truths based on rigorous deduction. Some mathematicians focus on purely theoretical problems, with no obvious or immediate applications, except to advance our understanding of mathematics, while others focus on applied mathematics, where they try to solve problems in economics, business, science, physics, or engineering.
CAD (computer-aided design) technicians combine art and engineering to prepare the technical drawings and plans from which everything in the world is made--from toys to toasters, houses to hoses, satellites to sewer systems. CAD technicians are essential to the design and construction of everything you see around you.
The essayist and poet Ralph Waldo Emerson called Greek architecture the "flowering of geometry." Architects blend art and science, designing structures for people, such as houses, apartments, schools, stores, malls, offices, places of worship, museums, sports stadiums, music theaters, and convention centers. Their designs must take into account not only the structure's appearance, but its safety, function, environmental impact, and cost. Architects often participate in all phases of design, from the initial consultation with the clients where the structure is envisioned, to its completion. Architects can enrich people lives by creating structures that are as beautiful to look at as they are functional to live, work, or shop in.
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