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Reuleaux triangle facts for kids

Kids Encyclopedia Facts

A Reuleaux triangle is a shape made when three circles cross. It looks like a triangle with round sides and pointed corners.

To make one, first draw two dots. Then put a compass on the two dots and draw a circle. Do the same thing again, this time with the other dot as the middle of the circle. Choose either the top or bottom points of the connecting circles as a new center, using the two drawn dots as the edge, and draw the third circle.

If a is how wide the Reuleaux triangle is, the area is \frac{1}{2}(\pi - \sqrt3)a^2. The perimeter is \pi a.

A Reuleaux polygon is a shape like the Reuleaux triangle with an odd number of sides.

A Reuleaux tetrahedron is made when four spheres cross. It looks like a Reuleaux triangle as a pyramid with three sides at the bottom.

  • Construction of Reuleaux triangle

    Reuleaux triangle in gray

  • Reuleaux polygons

    Reuleaux polygons

  • Reuleaux-tetrahedron-intersection

    Reuleaux tetrahedron made with four spheres

Images for kids

  • Rotation of Reuleaux triangle

    Rotation of a Reuleaux triangle within a square, showing also the curve traced by the center of the triangle

  • Reuleaux triangle 54

    Comparison of a cylindrical and Reuleaux triangle roller

  • Luch2 greifer

    Reuleaux triangle based film advance mechanism in the Soviet Luch-2 8mm film projector

  • Reuleaux triangle shaped window of Onze-Lieve-Vrouwekerk, Bruges

    Reuleaux triangle shaped window of the Church of Our Lady, Bruges in Belgium

  • Leonardo da Vinci’s Mappamundi

    Leonardo da Vinci's world map in eight Reuleaux-triangle quadrants

  • V-Pick Psychos

    Reuleaux triangle shaped guitar picks

  • Smithsonian Submillimeter Array

    The Submillimeter Array, with seven of its eight antennae arranged on an approximate Reuleaux triangle

See also

Kids robot.svg In Spanish: Triángulo de Reuleaux para niños

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Reuleaux triangle Facts for Kids. Kiddle Encyclopedia.