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# What are some geometric shapes found in nature?

Geometric shapes found in nature include pentagons, hexagons, spirals, waves and lines. These shapes are fascinating examples of mathematical laws being manifested by natural or biological means.

Continue ReadingOne of the most widely cited examples of geometric shapes in nature is the shell of the nautilus. The nautilus is a cephalopod that grows its shell by replicating the most recent chamber but makes the new chamber bigger than the previous one by a constant factor. This results in a logarithmic spiral that resembles those created by a Fibonacci sequence. Many other species of mollusks, like snails, build their shells in a similar way.

Other examples of Fibonacci spirals in nature are the horns of a Bighorn sheep or the spiral of an aloe plant's leaves.

A well-known geometric shape in nature is the hexagon, which is most commonly seen in the honeycomb of bees and other species of hymenoptera like wasps. Bees make use of the hexagon's ability to efficiently group together while leaving no space between adjacent cells, as would be the case if the cells were circular. The hexagonal honeycomb construction is so strong at such a light weight that it is commonly used in human manufacturing.

Continuing on the theme of six, every snowflake is unique except in one respect, which is that they all exhibit six-fold radial symmetry. Because of how water molecules crystallize when they freeze, every snowflake has six "arms."

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Q:
## What shapes have no lines of symmetry?

A: Some shapes that have no lines of symmetry include the scalene triangle and trapezium. A trapezium is a four-sided flat shape with straight sides, none of ... Full Answer >Filed Under: -
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## What are the numbers of hexagons and pentagons on an official soccer ball?

A: An official soccer ball typically consists of 20 white hexagons and 12 black pentagons tightly stitched together for a puzzle-like fit. Manufacturers began... Full Answer >Filed Under: -
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## How many faces does a hexagonal prism have?

A: A hexagonal prism has eight faces, six of which are rectangles, and two of which are hexagons. A hexagonal prism consists of a top and bottom hexagon that ... Full Answer >Filed Under: -
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## What is a 12-faced shape called?

A: A dodecahedron is the name given to a polyhedron made up of 12 equal pentagons. It is one of the five Platonic solids: a group of regular, convex polyhedro... Full Answer >Filed Under: