Examples of 'stellation' in a sentence
Meaning of "stellation"
Stellation is a process in geometry where new geometric shapes are constructed by extending the edges or faces of a polyhedron
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- The construction of a stellated polyhedron (or other polytope) by extending edges or planes.
- radiation of light
How to use "stellation" in a sentence
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stellation
The new figure is a stellation of the original.
Stellation changes pentagonal faces into pentagrams.
Faceting has not been studied as extensively as stellation.
The second stellation represents a straight line.
Faceting is the reciprocal or dual process to stellation.
The reciprocal process to stellation is called facetting or faceting.
Every primary region leads to a valid stellation.
This compound polyhedron is also a stellation of the regular icosahedron.
It is a stellation of the great icosidodecahedron.
The stellated octahedron is the only stellation of the octahedron.
It is also a stellation of the rhombicuboctahedron.
Other rules for stellation.
The complete stellation is referenced as the eighth in the book.
For example the cube is not considered a stellation of the cuboctahedron.
A stellation diagram exists for every face of a given polyhedron.
See also
The great triakis octahedron is a stellation of the deltoidal icositetrahedron.
One stellation diagram is required for each type of face.
This compound can be formed as a stellation of the rhombic triacontahedron.
However stellation cells can be constructed as prisms which extend to infinity.
One idea few previous publications have addressed is stellation of nonconvex polyhedra.
He observed that the stellation diagram comprised many line segments.
Stellation is really an operation for which the input is a set of planes.
The face of a primary stellation is simply one primary region.
The stellation process can be applied to higher dimensional polytopes as well.
Its external surface also represents the B stellation of the icosahedron.
Sixteenth stellation of icosahedron.
All vertices are congruent within a single symmetry orbit, the stellation is monoacral.
Tenth stellation of icosahedron.
In geometry, a rhombic hexecontahedron is a stellation of the rhombic triacontahedron.
Stellation to infinity.
Figure 8 shows a glorious stellation of the small stellated truncated dodecahedron.
Section 4 explains the creation and printing of nets and how stellation theory can help.
Second stellation of icosahedron.
He carefully distinguished this from Kepler 's classical stellation process.
Primary lines in a stellation diagram are those that lie in a reflection plane.
The Kepler-Poinsot polyhedra may be constructed from the Platonic solids by a process called stellation.
Faces All of the stellations can be specified by a stellation diagram.
Section 5 discusses faceting, the dual process of stellation.
The four kinds of stellation just defined are all subsets of the Miller stellations.
Its dual, the medial triambic icosahedron, is a stellation of the icosahedron.
A sub-symmetric stellation is one where not all elements are extended symmetrically.
Figure 6a shows regions required for the great dodecahedron ( a stellation of the dodecahedron, see figure 4 ).
Thus it is a stellation of the octahedron, and in fact, the only finite stellation thereof.
In section 3 we describe the process of stellation and some of the theory behind it.
It is a stellation of the rhombic triacontahedron, and can also be called small stellated triacontahedron.
Conway offered these operational definitions, stellation - replaces edges by longer edges in same lines.
For every stellation of some convex polytope, there exists a dual faceting of the dual polytope.
So what is a stellation really?
A stellation diagram of an n-polytope exists in an ( n-1 ) - dimensional hyperplane of a given facet.
There are two important concepts in stellation theory, the stellation diagram and the cell diagram.
