Spheroids in the context of "Rotational symmetry"

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⭐ Core Definition: Spheroids

A spheroid, also known as an ellipsoid of revolution or rotational ellipsoid, is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters. A spheroid has circular symmetry.

If the ellipse is rotated about its major axis, the result is a prolate spheroid, elongated like a rugby ball. The American football is similar but has a pointier end than a spheroid could. If the ellipse is rotated about its minor axis, the result is an oblate spheroid, flattened like a lentil or a plain M&M. If the generating ellipse is a circle, the result is a sphere.

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👉 Spheroids in the context of Rotational symmetry

Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

Certain geometric objects are partially symmetrical when rotated at certain angles such as squares rotated 90°, however the only geometric objects that are fully rotationally symmetric at any angle are spheres, circles and other spheroids.

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In this Dossier
LINKED FROM (PARENTS)
← Rotational symmetry ← Rotation symmetry
LINKS TO (CHILDREN)
Quadric → Surface (mathematics) → Surface of revolution → Ellipse → Ellipsoid → Semi-diameter → Circular symmetry → Major axis → Rugby ball → Ball (gridiron football) → Minor axis → Lentil → M&M's → Sphere →