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fibonacci spirals

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The Fibonacci spiral is a fascinating manifestation of mathematical principles in the natural world. It is derived from the Fibonacci sequence, where each number is the sum of the two preceding ones, often appearing in the arrangement of leaves, the branching of trees, the flowering of artichokes, the uncurling of fern fronds, and the arrangement of a pine cone's bracts. This spiral can also be observed in the patterns of hurricanes and galaxies, showcasing how mathematics underpins both the minutiae of organic growth and the vast structures of the cosmos.

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Fibonacci Spiral

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Fibonacci Spiral with Geogebra

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nature is truly amazing, it has everything in it.

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Andreja Janevski II-5

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Rubén: This is my spiral

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Sergio G., IES Beniaján (SPAIN)

Teacher: Raúl JUAN

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Sergio D. and Isidro. IES Beniaján (SPAIN)

Teacher: Raúl JUAN

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Fibonacci spiral with Geogebra, by Merhane S.

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Fibonacci spiral with Geogebra, by Merhane S.

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Merhane Salama, IES Beniaján (Spain)

Teacher: María José López

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Fibonacci spiral with Geogebra, by Lola R.

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Fibonacci spiral with Geogebra, by Lola R.

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Lola R., IES Beniaján (Spain)

Teacher: María José López

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What is the area of the next square after 21?

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Francisco Silva, Nuno Couto, João Dinis and Francisco Brochado

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Francisco Silva, Nuno Couto, João Dinis and Francisco Brochado

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What is the sum of the area of ​​square A and the area of ​​square B?

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What is the sum of the area of ​​square A and the area of ​​square B?

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Sude, Barurhane Secondary School, TURKEY

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What is the difference between the area of the green square and the area of the blue square?

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David

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Germán

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Daniel, Simão, Gabriel e João

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Lucas, Sofia, Lara e Ryan

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Carlos, Carolina, Bruno, Artem

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Carolina, Bruno, Artem, Carlos

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Fibonacci spiral by Manuel Bošnjak, Tehnička škola Virovitica, 2. E

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https://www.geogebra.org/geometry/jghvpp2d

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Interactive, free online geometry tool from GeoGebra: create triangles, circles, angles, transformations and much more!

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Fibonacci spiral in pinecone

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Fibonacci in strawberyy

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The golden triangle

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Nature’s Hidden Harmony: Unveiling the Fascinating World of Fibonacci Spirals by user107597233

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Check this design made by user107597233 using wepik.