Scalenohedron meaning

A scalenohedron is a polyhedron with all its faces being irregular triangles.


Scalenohedron definitions

Word backwards nordehonelacs
Part of speech Noun
Syllabic division sca-le-no-he-dron
Plural The plural form of scalenohedron is scalenohedra.
Total letters 13
Vogais (3) a,e,o
Consonants (7) s,c,l,n,h,d,r

Scalenohedron

Definition

A scalenohedron is a polyhedron that has faces that are all scalene triangles. These triangles have three sides of different lengths, making the faces of the scalenohedron unique and asymmetrical.

Characteristics

Scalenohedra can have different numbers of faces, edges, and vertices, depending on their specific shape and configuration. They are a type of deltahedron, a polyhedron whose faces are all equilateral triangles joined edge to edge.

Examples

One commonly known example of a scalenohedron is the hexagonal scalenohedron, which has six faces, each being a scalene triangle. Another example is the triangular scalenohedron, which has four faces, also triangular and scalene in shape.

Properties

Scalenohedra do not possess any symmetry planes like cubes or octahedra, which makes them challenging to visualize and work with mathematically. Their unique characteristics make them interesting objects of study in geometry and crystallography.

Application

In crystallography, scalenohedra are used to describe the shape of certain crystal structures, especially in mineralogy. Understanding the geometric properties of a scalenohedron can provide valuable information about the internal arrangement of atoms within a crystal lattice.


Scalenohedron Examples

  1. The crystal had a unique shape, resembling a scalenohedron.
  2. The geologist studied the scalenohedron mineral formation in great detail.
  3. The sculptor used a scalenohedron as inspiration for their latest artwork.
  4. Under the microscope, the scalenohedron structure could be clearly seen.
  5. The mathematician calculated the angles of the scalenohedron shape.
  6. The architect incorporated a scalenohedron design into the building's facade.
  7. The jewelry maker crafted a pendant in the shape of a scalenohedron.
  8. The student wrote a research paper on the properties of scalenohedron shapes.
  9. The crystallographer identified the scalenohedron crystal using X-ray diffraction.
  10. The teacher gave a lesson on geometric shapes, including the scalenohedron.


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  • Updated 07/04/2024 - 08:47:54