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Mostrando entradas de abril, 2024

Islamics Mosaics with Geometry

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     Hello everyone and welcome to the world of geometry for another day!      In today's post, we will talk about Islamic mosaics, in which shapes and colours are combined to create new works of art. Are you ready to discover them?      To begin with, an Islamic mosaic is a work of art created from small coloured pieces called tesserae , which can be composed of glass , ceramic or stone . Islamic mosaics are known worldwide for their intricate geometric patterns and intense colours. These patterns, in addition to their aesthetics, hide a lot of geometry within them.      But what role does geometry play in Islamic mosaics? In mosaics we can find numerous geometric shapes such as triangles, squares, hexagons or even stars. Mosaics are created in a series of steps:           1. First, artists plan the initial design on paper, using tools such as compasses to create precise geometric shapes.  ...

The Magic in the Snowflakes

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 Hi everybody!     Have you ever seen a snowflake up close? They have incredible and very curious shapes! Today I will explain the relevant relationship between snowflakes and geometry. As you all know, a snowflake is a small ice structure that is generated in clouds when water droplets freeze; although each snowflake is unique and has its own shape, they have one characteristic in common: a hexagonal symmetry.  A snowflake is formed when a water droplet in a cloud transforms into an ice crystal; the more water vapour condenses on that crystal, the larger it becomes. Depending on the temperature and humidity, these water molecules cause different geometric shapes to form. In addition, temperature and humidity also influence how the branches of the snowflake develop, giving rise to an infinite number of shapes and sizes; this process makes each snowflake unique, even though they share the same formation. All snowflakes have six sides, so they have hexagonal...

Building with Polydron

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       Hello everyone! Today I am going to tell you about Polydron, a very enjoyable interactive tool with which we can build our own geometric figures while we play and it will also help us to continue discovering more aspects of geometry. Polydron is a construction set with plastic pieces that can be connected together. Each piece has a different shape, from triangles to pentagons. With this set, we can build flat geometric figures and also three-dimensional structures such as cubes, i.e. it is a three-dimensional puzzle of which we can create the pieces! Polydron can turn a geometry lesson into a hands-on, creative adventure for students. First of all, students being able to see and touch shapes helps them understand more complex concepts such as volume or the area of a figure. In addition, by building shapes with this resource, students learn spatial skills as they learn to understand how to see shapes from different perspectives, and this type of skill allows ...

Geometry and Music: A Geometrical Duet

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  Hello everybody! In today's post, we are going to discover the connection between the world of geometry and the world of music thanks to the structure of shapes and sounds. Have you ever wondered how music can develop so well thanks to geometry? First of all, we must remember the basic geometrical shapes such as circles, squares and triangles. These shapes are constantly present in music, and they are transformed to create sounds! Circles are associated with rhythm, as the circle has no beginning and no end and the musical beat is a constantly repeating cycle, so we can say that musical rhythm is a circle that never stops. Like this, it happens with squares; a square has four equal sides and most songs are divided into four measures, so each musical square derives in each block of the song structure. To continue, music is mainly composed of patterns, as these patterns repeat themselves creating melodies, however, in the branch of geometry we routinely find geometric pattern...