Octahemioctacron
Encyclopedia
In geometry
, the octahemioctacron is the dual of the octahemioctahedron
, and is one of nine dual hemipolyhedra. It appears visually indistinct from the hexahemioctacron
.
Since the octahemioctahedron has four hexagonal faces
passing through the model center, The octahemioctacron has four vertices
at infinity. In Magnus Wenninger
's Dual Models, they are represented with intersecting infinite prisms
passing through the model center, cut off at a certain point that is convenient for the maker.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the octahemioctacron is the dual of the octahemioctahedron
Octahemioctahedron
In geometry, the octahemioctahedron is a nonconvex uniform polyhedron, indexed as U3. Its vertex figure is a crossed quadrilateral.It is one of nine hemipolyhedra with 4 hexagonal faces passing through the model center.- Related polyhedra :...
, and is one of nine dual hemipolyhedra. It appears visually indistinct from the hexahemioctacron
Hexahemioctacron
In geometry, the hexahemioctacron is the dual of the cubohemioctahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the octahemioctacron....
.
Since the octahemioctahedron has four hexagonal faces
Face (geometry)
In geometry, a face of a polyhedron is any of the polygons that make up its boundaries. For example, any of the squares that bound a cube is a face of the cube...
passing through the model center, The octahemioctacron has four vertices
Vertex (geometry)
In geometry, a vertex is a special kind of point that describes the corners or intersections of geometric shapes.-Of an angle:...
at infinity. In Magnus Wenninger
Magnus Wenninger
Father Magnus J. Wenninger OSB is a mathematician who works on constructing polyhedron models, and wrote the first book on their construction.-Early life and education:...
's Dual Models, they are represented with intersecting infinite prisms
Prism (geometry)
In geometry, a prism is a polyhedron with an n-sided polygonal base, a translated copy , and n other faces joining corresponding sides of the two bases. All cross-sections parallel to the base faces are the same. Prisms are named for their base, so a prism with a pentagonal base is called a...
passing through the model center, cut off at a certain point that is convenient for the maker.
See also
- Hemi-cube - The four vertices at infinity correspond directionally to the four vertices of this abstract polyhedron.