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2º ESO/THE COMPLEX GEOMETRY OF ISLAMIC ART - Contenido educativo
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In Islamic culture, geometry is everywhere.
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You can find it in mosques, madrasas, palaces, and private homes.
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This tradition began in the 8th century CE,
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during the early history of Islam,
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when craftsmen took pre-existing motifs from Roman and Persian cultures
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and developed them into new forms of visual expression.
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This period of history was a golden age of Islamic culture,
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during which many achievements of previous civilizations
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were preserved and further developed,
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resulting in fundamental advancements in scientific study and mathematics.
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Accompanying this was an increasingly sophisticated use of abstraction
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and complex geometry in Islamic art,
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from intricate floral motifs adorning carpets and textiles
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to patterns of tile work that seemed to repeat infinitely,
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inspiring wonder and contemplation of eternal order.
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Despite the remarkable complexity of these designs,
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they can be created with just a compass to draw circles
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and a ruler to make lines within them.
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And from these simple tools emerges a kaleidoscopic multiplicity of patterns.
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So how does that work?
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Well, everything starts with a circle.
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The first major decision is, how will you divide it up?
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Most patterns split the circle into four, five, or six equal sections,
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and each division gives rise to distinctive patterns.
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There's an easy way to determine whether any pattern is based on four-fold, five-fold, or six-fold symmetry.
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Most contain stars surrounded by petal shapes.
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Counting the number of rays on a starburst, or the number of petals around it,
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tells us what category the pattern falls into.
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A star with six rays, or surrounded by six petals,
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belongs in the six-fold category.
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One with eight petals is part of the four-fold category, and so on.
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There's another secret ingredient in these designs, an underlying grid.
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Invisible but essential to every pattern,
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the grid helps determine the scale of the composition before work begins,
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keeps the pattern accurate,
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and facilitates the invention of incredible new patterns.
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Let's look at an example of how these elements come together.
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We'll start with a circle within a square
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and divide it into eight equal parts.
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We can then draw a pair of crisscrossing lines
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and overlay them with another two.
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These lines are called construction lines,
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and by choosing a set of their segments,
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we'll form the basis of our repeating pattern.
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Many different designs are possible from the same construction lines
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just by picking different segments.
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And the full pattern finally emerges
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when we create a grid with many repetitions of this one tile
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in a process called tessellation.
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By choosing a different set of construction lines,
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we might have created this pattern,
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or this one.
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The possibilities are virtually endless.
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We can follow the same steps to create six-fold patterns.
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By drawing construction lines over a circle divided into six parts
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and then tessellating it, we can make something like this.
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Here's another six-fold pattern that has appeared across the centuries
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and all over the Islamic world,
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including Marrakech, Agra, Konya, and the Alhambra.
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Four-fold patterns fit in a square grid,
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and six-fold patterns in a hexagonal grid.
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Five-fold patterns, however, are more challenging to tessellate
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because pentagons don't neatly fill a surface.
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So instead of just creating a pattern in a pentagon,
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other shapes have to be added to make something that is repeatable,
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resulting in patterns that may seem confoundingly complex
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but are still relatively simple to create.
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Also, tessellation is not constrained to simple geometric shapes,
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as M.C. Escher's work demonstrates.
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And while the Islamic geometric design tradition
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doesn't tend to employ elements like fish and faces,
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it does sometimes make use of multiple shapes to craft complex patterns.
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This more than 1,000-year-old tradition has wielded basic geometry
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to produce works that are intricate, decorative, and pleasing to the eye.
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and these craftsmen prove just how much is possible
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with some artistic intuition, creativity, dedication,
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and a great compass and ruler.
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- Subido por:
- Alicia M.
- Licencia:
- Reconocimiento - No comercial - Sin obra derivada
- Visualizaciones:
- 366
- Fecha:
- 10 de octubre de 2020 - 16:35
- Visibilidad:
- Público
- Centro:
- IES LA SENDA
- Duración:
- 05′ 06″
- Relación de aspecto:
- 1.78:1
- Resolución:
- 1280x720 píxeles
- Tamaño:
- 47.97 MBytes