Friday, March 21, 2014

Geo wanna dance metry? Wut.

                Look around you. What do you see? If you would ask me, I’d say I see geometry. Geometry is all about shapes and its properties, sizes, and the relative position of figures. During our nursery and kinder years, we would just be asked to draw and identify different shapes and its sizes. During our elementary years, if I remember correctly, the teacher started introducing us to solving simple geometrical problems on fourth grade. Those were the easy days, as we progress, Geometry keeps getting more and more complicated.

                Our group started off with a toothpick game. To understand geometry, the first thing you’d have to keep in mind is to follow the steps or instructions. As observed, word problems involving geometry consists of instruction or clues for its illustration and through the illustration, you get to see which formula you’ll need to use. If you got the illustration wrong, then you might probably have the answer to the problem wrong too.

                We then had a debate concerning the shapes of buildings. In my opinion, it is actually nice to see buildings with a base shaped differently other than a square or a rectangle.  For stability, buildings with bases shaped like a triangle is the best, but for economical purposes, buildings with rectangular bases are the best.


                We ended with a video presentation about the different types of geometry. There are three basic types of geometry, these are the Euclidean geometry, elliptic geometry, and hyperbolic geometry. Euclidean geometry basically consist of the theorems and rules that we learned on our elementary and high school years. This include the Pythagorean Theorem, rules for triangles, shapes, areas and angles.  We also have a non-Euclidean geometry which is the elliptic geometry or the Riemannian geometry. Riemannian geometry follows the axioms of Euclid except that the parallel postulate is replaced by the axiom that says, "Through any point in the plane, there exist no lines parallel to a given line." Another non-Euclidean geometry is the hyperbolic geometry which is also called saddle geometry or Lobachevskian Geometry. Hyperbolic geometry rejects Euclid’s parallel postulate. Hyperbolic geometry states that there are at least two points parallel to a given line through a point that is not found on it.

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