Polyhedra: meaning, definitions and examples
๐ท
polyhedra
[ หpษliหhษdrษ ]
geometry shape
A polyhedron is a three-dimensional geometric figure that is made up of flat polygonal faces, straight edges, and vertices. Each face of a polyhedron is a polygon, and the edges are the line segments where two faces meet. The most common types of polyhedra include prisms, cubes, and pyramids. Polyhedra can also be classified based on the number of faces they have, such as tetrahedra (four faces), hexahedra (six faces), and more. These shapes are studied in topology and are fundamental to various fields such as architecture, engineering, and computer graphics.
Synonyms
3D shape, geometric solid, solid figure.
Examples of usage
- The cube is a common example of a polyhedron.
- Mathematicians study the properties of different polyhedra.
- In art, polyhedra are often used in sculptures.
Translations
Translations of the word "polyhedra" in other languages:
๐ต๐น poliedros
๐ฎ๐ณ เคฌเคนเฅเคญเฅเค
๐ฉ๐ช Polyeder
๐ฎ๐ฉ poliedra
๐บ๐ฆ ะฟะพะปัะณะพะฝะธ
๐ต๐ฑ wieloลciany
๐ฏ๐ต ๅค้ขไฝ
๐ซ๐ท polyรจdres
๐ช๐ธ poliedros
๐น๐ท รงokgenler
๐ฐ๐ท ๋ค๊ฐ์ฒด
๐ธ๐ฆ ุงูู ุฌุณู ุงุช
๐จ๐ฟ polyedry
๐ธ๐ฐ mnohosteny
๐จ๐ณ ๅค้ขไฝ
๐ธ๐ฎ poliedri
๐ฎ๐ธ margfeldi
๐ฐ๐ฟ ะบำฉะฟะฑาฑััััะฐั
๐ฌ๐ช แแแแแฐแแแ แแแ
๐ฆ๐ฟ รงoxbucaqlar
๐ฒ๐ฝ poliedros
Etymology
The term 'polyhedron' originates from the Greek word 'polus,' meaning 'many,' and 'hedra,' meaning 'face' or 'base.' Thus, its literal translation would be 'many faces.' The study of polyhedra dates back to ancient civilizations, including the Egyptians and Greeks, who recognized the significance of these shapes in architecture and art. The five regular polyhedra, known as the Platonic solids, were described by the philosopher Plato in his work Timaeus around 360 B.C. Their symmetrical properties and aesthetic appeal made them objects of philosophical contemplation. The study of polyhedra gained further traction during the Renaissance, leading to significant advancements in mathematics and the visualization of three-dimensional forms. In modern mathematics, polyhedra continue to play a crucial role in areas such as topology, computational geometry, and crystallography.