Table of Contents
- 1 What 3d shape has 8 equilateral triangle faces?
- 2 What 3d shape is made from 8 triangles?
- 3 How many faces does octahedron have?
- 4 Which Platonic solid has eight faces that are equilateral triangles?
- 5 How many faces and edges does an octahedron have?
- 6 How is the volume of an octahedron different from a tetrahedron?
- 7 How is the octahedron unique to the Johnson solids?
What 3d shape has 8 equilateral triangle faces?
Octahedron
Octahedron with eight equilateral triangle faces. Dodecahedron with twelve pentagon faces. Icosahedron with twenty equilateral triangle faces.
What 3d shape is made from 8 triangles?
cuboctahedron
A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
What is a shape with 8 faces called?
In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.
How many faces does octahedron have?
8
Octahedron/Number of faces
Which Platonic solid has eight faces that are equilateral triangles?
octahedron
The octahedron has 8 faces. Each is an equilateral triangle. It also has 12 edges and 6 vertices. At each vertex four edges meet.
Is an octagon made of equilateral triangles?
Four equilateral triangles made in regular octagon.
How many faces and edges does an octahedron have?
However, there is no requirement for an octahedron to be regular. A heptagonal pyramid (containing 1 heptagon as a base and 7 triangular sides that have a common vertex at the top) has 8 faces, 14 edges, and 8 vertices.
How is the volume of an octahedron different from a tetrahedron?
Thus the volume is four times that of a regular tetrahedron with the same edge length, while the surface area is twice (because we have 8 rather than 4 triangles). If an octahedron has been stretched so that it obeys the equation
Can a tetrahedra and an octahedra be alternated?
Octahedra and tetrahedra can be alternated to form a vertex, edge, and face-uniform tessellation of space, called the octet truss by Buckminster Fuller. This is the only such tiling save the regular tessellation of cubes, and is one of the 28 convex uniform honeycombs.
How is the octahedron unique to the Johnson solids?
The octahedron is unique among the Platonic solids in having an even number of faces meeting at each vertex. Consequently, it is the only member of that group to possess mirror planes that do not pass through any of the faces. Using the standard nomenclature for Johnson solids, an octahedron would be called a square bipyramid.