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Mostrando entradas de abril, 2022

Geometry life

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 The word geometry has its Greek roots, Geo (earth) and Metria (measurement), which means measurement of the earth. Geometry is a multifaceted branch of mathematics. One could say that the origin of mankind is where geometry comes from, when primitive man in his unconscious way classified objects according to their shape and size.  It dates back to about three thousand years before Christ (BC), particularly the ancient Egyptians who needed to measure their agricultural fields and in the construction of their great works such as the pyramids and their monuments. These early achievements of geometry were only put into practice, without any kind of reasoning or demonstration.  All this primitive knowledge was passed on to the Greeks, who were the first to formalise geometry, particularly by considering objects as ideal entities, such as a circle instead of a well's eye and a square instead of a simple wall. One of the first to see geometry demonstratively through reasoning was Thales

Geometry in Music

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Certain elements of a musical space are often represented by geometric figures. These allow music to be organised by establishing patterns and sequences between notes, but not only physically, but also in the mental musical realm. The metaphor of musical geometry is a mapping of each person's musical concept. This means that everyone has a different concept of the dominant music, so everyone creates different compositions, even when performing existing compositions. In our mental mapping of musical concepts, there are geometric images that detail the composition of musical compositions. These geometric imaginations are expressed in the graphic space of music, transcribed into physics in different forms, such as musical scores. The image of a piece of music itself has a certain style and thought. This is called the language of geometry. Musicians use this language to express their creations and all their characteristics: duration, pitch, tone. In this way, there is a transfer betwee

Importance of Geometry in Education

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This subject is reflected in the immediate environment. This means that, by identifying geometric shapes and concepts specific to the subject, students advance in their knowledge of space until they are able to dispense with physical space in order to create conceptualised spaces through the creation of mental images and abstraction. Furthermore, learning geometry involves recognising it in everyday language. We commonly speak, for example, of parallel streets, spiral staircases, cylindrical elements, among others. Hand in hand with this, geometry favours the integral learning of other mathematical areas such as algebra and calculus. In view of the above, the teaching of geometry serves the following purposes in early childhood education: - It cultivates intelligence and develops new ways of thinking. - It fosters and exacerbates creativity and imagination. - It facilitates the discovery of experimental answers to mathematical problems and their applicability to the environment. - It s

Geometry in technologies

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From its very conception, geometry underlies a certain technology. Geometry and technology have an ontological relationship, given that according to the symbolic tools that are brought into play, we speak of a certain geometry. Euclidean geometry or analytical geometry are technologies in themselves, which make use of certain artefacts (pencil, paper, ruler, square, computer with a certain software, etc.). These artefacts become instruments as soon as the cognitive activity of the user comes into play. In the case of DMS, the cognitive aspect is closely related to geometric concepts since all the commands allude to geometric elements or relations that correspond to the underlying model selected during the design of the software. How does the use of the technology used for its construction affect the construction of the geometric concept? What aspects to consider when the translation into a visual image is mediated through a system of dynamic geometry? In the same way that writing has r

Geometry in Architecture

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  The correct interpretation and study of geometry in architecture will allow us to calculate aspects such as those related to the load weights in certain structures, as well as having a relevant influence on the aesthetic considerations in each of the constructions carried out.  The first thing you have to take into account is that when it comes to designing a commercial space, the lines and all the geometric shapes contained in the space, both inside and outside, must be studied beforehand according to different aspects of action, one of them being the role of geometry and the weight it has on the result of a construction. It is also important to know that geometry will have an important weight when constructing certain buildings and their correct implementation in an ecosystem. One of the clearest examples is that which refers to roofs and environments in which different meteorological inclemencies such as rain or snow are usually present. From a correct geometrical study, a correct

Geometry in Food

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When we cook we make complex relationships of geometric shapes. When preparing a simple sandwich, cutting a piece of fruit or poking olives with chopsticks, we can form multiple geometric figures. An act as simple as scooping a spoonful of bubbling soup involves a combination of space, shape and position that allows us to approach geometry from the most important sphere, our own food. Cooking is another way of approaching food. For no two apples or watermelons, for example, are the same. When we cook we relate to geometric shapes, from the moment we pick up a container, open a bag or cut an onion, we maintain a constant relationship with geometry. For example, making a sandwich requires two slices of sliced bread, which are two rectangular prisms, also known as orthohedrons. This is an interactive video to work with primary education kids! (235) Shapes in My Lunch - Wolfoo Learn and Play with Geometric Shape Food Challenge | Wolfoo Channel - YouTube  

Geometry in Everyday Objects

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Small coins, laboratory test tubes, acupuncture needles. Objects that, as they tend to form part of the routine, are perhaps not seen with too much attention. But for the plastic artist Arturo Quintero, behind them, and behind all the things we see every day, is geometry, that branch of mathematics that after high school only refers to squares, rectangles, circles. The initial idea was to make people understand that geometric art is not just linear and not just about a mathematical formula or figures and surfaces. Really, whatever you do in life you have to do it with geometry. There are artists who refuse to claim that their art is geometric, but, for example, making a free stroke in a rectangular painting is already geometric. You think that everything has been done, but there are actually hidden wefts within the geometry itself, and you discover them. That comes from day to day, from constant research. Video about geometric shapes! (235) Geometric Plane Shapes For Kids - Primary Voc

Geomentry in Games

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  Again, a bit of context is needed. What are we talking about? Geometry is the study of the measurement of figures in planes or in space. When we talk about the hyperbolic curves used by Gaudí in La Sagrada Familia we are talking about geometry. The simple action of moving in a video game implies geometry. Movements such as planetary movements performed in our space, which is in three dimensions, can be reduced to two if we think of the planets as point bodies. The elliptical nature of this action allows the trajectory to be easily represented in a plane. It is this geometrical quality, of reducing the dimension of the problems, that is of great help in simplifying the accounts and clearing the field a little. Geometry has always been used in video games, from immortal platformers like Mario Bros to the brilliant Hollow Knight. As said before, 3D problems can be reduced to 2D under certain conditions. These can be: - Being able to represent the bodies involved as point particles. That

Geometry in Sports

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 Sport has endless geometric possibilities. In any sport or warm-up exercise, both the materials and the facilities needed to carry them out have geometric shapes. For example: the ropes, the hoops, the balls, the rackets and even the shapes that make the lines that delimit the different spaces within the playing field. What is the relationship between geometry and sport? They are related to each other because all the sporting spaces we know have a regulatory measure, for example a football pitch has a different length to an indoor football pitch, the same happens with balls that vary in circumference, diameter and weight. What would happen if geometry were not applied in sport? We try to imagine what would happen if there were no limits on the size of sports fields and we believe that regulations would be useless as players would do what they thought was good and commit fouls. In short, all sports fields have a certain shape, there are rectangular or square sports fields and others in