heptadecahedron
Sign in to saveA heptadecahedron (or heptakaidecahedron) is a polyhedron with 17 faces. No heptadecahedron is regular; hence, the name is ambiguous. There are heptadecahedra which are nearly spherical, like those seen in some chemical structures, however their faces are not composed of regular polygons. There also exist heptadecahedra made up of regular polygons, such as the pentagonal rotunda and augmented sphenocorona, but their symmetry is low. In addition, there are numerous topologically distinct forms of a heptadecahedron; for example, the hexadecagonal pyramid and pentadecagonal prism.
Wikidata facts
- Subclass of
- polyhedron
- Followed by
- octadecahedron
- Follows
- hexadecahedron
- Has parts of class
- face
Show 1 more fact
- has facet polytope
- polygon
via Wikidata · CC0
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Encyclopedic overview
11 sectionsContents
- Convex heptadecahedra
- Non-convex heptadecahedra
- Common heptadecahedra
- Pentadecagonal prism
- Hexadecagonal pyramid
- Elongated octagonal pyramid
- Pentagonal rotunda
- Triangular cupolarotunda
- List of common heptadecahedra
- References
- External links
A heptadecahedron (or heptakaidecahedron) is a polyhedron with 17 faces. No heptadecahedron is regular; hence, the name is ambiguous. There are heptadecahedra which are nearly spherical, like those seen in some chemical structures, however their faces are not composed of regular polygons. There also exist heptadecahedra made up of regular polygons, such as the pentagonal rotunda and augmented sphenocorona, but their symmetry is low. In addition, there are numerous topologically distinct forms of a heptadecahedron; for example, the hexadecagonal pyramid and pentadecagonal prism.
In industry, heptadecahedra have many uses. For example, specially-designed heptadecahdra can help reduce empty space and make stacking more convenient.
Excerpted from Wikipedia’s “heptadecahedron” article, available under the CC BY-SA 4.0 licence.