Math Knot Theory and Celtic Knots - 943 Words

l’Ve always had an interest in Celtic culture. I love the traditional clothing and dancing, but my favorite part has always been the symbolism and beauty of Celtic Knots. I wondered where the knots originated and how they were created so symmetrically, which led me to the mathematical study of knot theory. So my question now is, â€Å"How has the knot theory in mathematics influenced and shaped the tradition of Celtic Knots?† Knots in the real world are easy to define and see, such as tying a shoelace or a rope, but knots in the mathematical world are a bit different. These knots are joined at the end, making them one continuous line, unable to be pulled apart or untied. They can be described in mathematical terms as a circle that has been embedded in 3-D dimensional Euclidean space but in a bit simpler language, a knot is created by putting a flat circle into 3-D space; therefore making it 3-D. You can not just pull the circle up; that would create a cylinder, and you can not just round it out; this would create a sphere. You must twist it until it intertwines, thus creating a knot. Knots can be described in many different ways. For example; a common method of describing a knot is called a knot diagram, which can be used to describe the many ways a knot can be drawn. A fundamental problem is presented here though, due to the fact that you must determine when a knot is represented by more than one description. A full algorithmic solution does exist to help solve the problem, butShow MoreRelatedProject Mgmt296381 Words   |  1186 Pagesgetting closer to shore. As a result, the Navy is revamping ships for near-shore duty. The Navy will select three designs for further refinement from the responses to its RFP. In general, it is expected that the new ship will be capable of at least 55 knots, measure between 80 and 250 feet in length, and be fitted with radar absorbing panels to thwart guided missiles. 2. Statement of work (SOW) detailing the scope and major deliverables. For example, if the project involves a market research survey, the