answersLogoWhite

0

Why is an octahedron an antiprism?

User Avatar

Anonymous

15y ago
Updated: 8/17/2019

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. All but one are not antiprisms: only the regular octahedron is.An antiprism is a solid shape comprising two identical parallel faces joined together with a "ring" of triangles alternately pointing in opposite directions. Consider a regular octahedron placed on one of its faces - a triangle. Its top face will be another identical triangle which points in the opposite direction. Between the top and bottom, there are six triangles, alternately pointing up and down. It therefore meets all the requirements of an antiprism.

User Avatar

Wiki User

9y ago

What else can I help you with?

Related Questions

What shape is a octahedron?

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. Some simple octahedra area regular octahedron (also known as a square-based dipyramid or triangular antiprism)heptagon-based pyramidhexagon-based prism.So an octahedron is not a single shape.


A picture of a octahedron?

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. Some simple octahedra area regular octahedron (also known as a square-based dipyramid or triangular antiprism)heptagon-based pyramidhexagon-based prism.So an octahedron is not a single shape, and so there cannot be a single picture.


What is an example of a octahedron?

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. So there are 257 examples, plus versions of these formed by stretching and twisting. Some simple octahedra area regular octahedron (also known as a square-based dipyramid or triangular antiprism)heptagon-based pyramidhexagon-based prism.


How do you draw octahedron?

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. Some simple octahedra area regular octahedron (also known as a square-based dipyramid or triangular antiprism)heptagon-based pyramidhexagon-based prism.So an octahedron is not a single shape. Furthermore, each of these can be distorted by stretching and skewing. So there will be the 257 basic drawings plus many more variants.


What is the other name for octahedron?

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. Each of these, being a different shape, has a different name. Some of the names are simple, for example,a regular octahedron (also known as a square-based dipyramid or triangular antiprism)heptagon-based pyramidhexagon-based prismbut there are also names such as the tridiminished icosahedron or the gyrobifastigium.


What is another way to call octahedron?

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. Each of these, being a different shape, has a different name. Some of the names are simple, for example,a regular octahedron (also known as a square-based dipyramid or triangular antiprism)heptagon-based pyramidhexagon-based prismbut there are also names such as the tridiminished icosahedron or the gyrobifastigium.


What is an antiprism?

An antiprism is a polyhedron consisting of two parallel copies of some polygon, connected by an alternating band of triangles.


How many faces does an octahedron have?

An octahedron has 8 sides.An octahedron is a polyhedron with eight plane faces.


How many edges and vertices does an 62 face octahedron have?

An octahedron has eight faces. If it has 62 faces then it is not an octahedron!


How many sides does an octahedron have?

An octahedron has 8 sides.


How many corners does a octahedron have?

An octahedron has 18 corners.


How many faces has a octahedron?

a octahedron has 8 faces