Вопрос задан 04.08.2018 в 18:40. Предмет Математика. Спрашивает Романенкова Маша.

Объясните,какой многогранник называется правильным. СРОЧНО!!!!!помогите пожалуйста

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Отвечает Сенько Саша.
Это выпуклый и симметричный многогранник 

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

What is a regular polyhedron?

A regular polyhedron is a three-dimensional geometric shape that has congruent regular polygons as its faces, and the same number of faces meet at each vertex. In simpler terms, it is a solid shape where all the faces are the same regular polygon and all the angles and edges are equal.

Characteristics of a regular polyhedron

A regular polyhedron has several characteristics: - Faces: All the faces of a regular polyhedron are congruent regular polygons. For example, a regular tetrahedron has four equilateral triangular faces, while a regular octahedron has eight equilateral triangular faces. - Vertices: At each vertex of a regular polyhedron, the same number of faces meet. For example, in a regular tetrahedron, three faces meet at each vertex, while in a regular octahedron, four faces meet at each vertex. - Edges: The edges of a regular polyhedron are all congruent in length and form the boundaries between the faces.

Examples of regular polyhedra

There are five regular polyhedra, also known as the Platonic solids: 1. Tetrahedron: It has four equilateral triangular faces, three faces meet at each vertex. 2. Cube: It has six square faces, three faces meet at each vertex. 3. Octahedron: It has eight equilateral triangular faces, four faces meet at each vertex. 4. Dodecahedron: It has twelve regular pentagonal faces, three faces meet at each vertex. 5. Icosahedron: It has twenty equilateral triangular faces, five faces meet at each vertex.

These five regular polyhedra are unique in that they are the only convex polyhedra where the faces, vertices, and edges are all congruent.

Conclusion

In summary, a regular polyhedron is a three-dimensional shape with congruent regular polygons as its faces, the same number of faces meeting at each vertex, and congruent edges. The five Platonic solids are examples of regular polyhedra.

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