Noun
/ˈoʊ.pən ˌpɒl.iˈhɛd.rən/
An "open polyhedron" refers to a geometric figure consisting of flat polygonal faces, straight edges, and vertices, but unlike a closed polyhedron, it does not fully enclose a space. Open polyhedra may include figures like frames or lattices and are often considered in mathematical and architectural contexts.
The frequency of use for this term is relatively low and is predominantly found in written contexts, especially in academic papers, textbooks, and discussions of geometry or computer graphics rather than in everyday oral speech.
The architects designed an open polyhedron to showcase the structural integrity of their new building.
Архитекторы разработали открытый полиэдр, чтобы продемонстрировать структурную целостность их нового здания.
In geometry class, we studied the properties of an open polyhedron to understand its characteristics better.
На уроке геометрии мы изучали свойства открытого полиэдра, чтобы лучше понять его характеристики.
The artist used an open polyhedron as a framework for her sculpture, allowing light to filter through.
Художник использовал открытый полиэдр в качестве каркаса для своей скульптуры, позволяя свету проходить через него.
The term "open polyhedron" does not have widely recognized idiomatic expressions. However, in specialized fields such as mathematics and geometry, discussions may involve terms like "closed polyhedron" or related geometrical concepts. Here are some contextual phrases related to polyhedra:
An open and closed case: The study of open polyhedra can often lead to closed cases in geometric proofs.
Изучение открытых полиэдров может привести к закрытым случаям в геометрических доказательствах.
Frame of reference: Our understanding of an open polyhedron changes based on our frame of reference within three-dimensional space.
Наше понимание открытого полиэдра меняется в зависимости от нашей точки зрения в трехмерном пространстве.
Out in the open: The flaws in the open polyhedron were visible to everyone observing the structure.
Недостатки открытого полиэдра были видны всем, кто наблюдал за конструкцией.
The term "polyhedron" comes from the Greek words "poly" meaning "many" and "hedron" meaning "faces." The prefix "open" adds the descriptor that indicates the figure is not closed, emphasizing the absence of a fully bounded shape.
Synonyms: - Geometric framework - Lattice structure - Mesh polyhedron
Antonyms: - Closed polyhedron - Solid polyhedron - Truncated polyhedron
By understanding open polyhedra, one can appreciate the diversity and application of geometrical figures in both theoretical and practical situations, whether in math, art, or architecture.