How to use polyhedron in a sentence
18 example sentences · noun
Polyhedron means a solid figure with many flat faces and straight edges. Example: “Of the convex polyhedra with regular faces, the only ones that have tetrahedral, octahedral, or icosahedral symmetry are the Platonic and Archimedean solids.”
Examples of polyhedron by meaning
nounA solid figure with many flat faces and straight edges.
- Of the convex polyhedra with regular faces, the only ones that have tetrahedral, octahedral, or icosahedral symmetry are the Platonic and Archimedean solids.1966, Norman W. Johnson, “Convex Polyhedra with Regular Faces”, in Canadian Journal of Mathematics, volume XVIII, number I, Toronto...
More sentences with polyhedron
- There are elegant theorems and deep connections with polytopes, polyhedra, combinatorics, commutative algebra, symplectic geometry, and topology.2024, David A. Cox, John B. Little, Henry K. Schenck, Toric Varieties, American Mathematical Society, →ISBN. From the entry toric
- The regular polyhedra include the five Platonic solids and the four Kepler-Poinsot solids.2012, Jonathan Bowers, Uniform Polyhedra and Other Three Dimensional Shapes. From the entry verf
- This polyhedron has I symmetry and can therefore be constructed in left- and right-handed forms.2006, P. W. Fowler, D. E. Manolopoulos, An Atlas of Fullerenes, page 50. From the entry snub dodecahedron
- There are two quasiregular polyhedra not having identical regular faces: the cuboctahedron (dymaxion) and the icosidodecahedron.1996, Wolfgang Schueller, The Design of Building Structures, page 540. From the entry quasiregular
- There are just two polyhedra that will fulfill these conditions: the cuboctahedron and the icosidodecahedron (Diagram 3.3).1976, Hugh Kenner, Geodesic Math and how to Use it, page 21. From the entry cuboctahedron
- Two semiregular polyhedra are classified as so-called quasiregular polyhedra.2007, Istvan Hargittai, Magdolna Hargittai, Symmetry through the Eyes of a Chemist, page 89. From the entry quasiregular
- While one of the semiregular polyhedra was mentioned by Plato, their first serious study is attributed to Archimedes.2003, Saul Stahl, Geometry from Euclid to Knots, published 2010, page 272. From the entry semiregular
- The truncation procedure that produced the truncated cube I can be applied to arbitrary polyhedra so as to obtain new polyhedra.2003, Saul Stahl, Geometry from Euclid to Knots, published 2010, page 278. From the entry truncated cube
- Regular stellate polyhedra are the three- dimensional analogue to the stars (pentacle, hexacle, etc.) in the plane (Figure 32A and B).1967, Harold Andrew Elliott, Numbers, shapes, and patterns, page 176. From the entry hexacle
- This case suggests that the alternation of a polyhedron should be bounded by actual vertex figures and alternated faces.1932, Harold Scott Macdonald Coxeter, The densities of the regular polytopes, part 2, reprinted in 1995, F. Arthur Sherk, Peter Mcmullen…. From the entry alternate
- Because of this another polyhedron – the tetrakis hexahedron – that has 14 vertices and 24 faces might be also a good model.2010, Sumudu P. Leelananda, Yaping Feng, Pawel Gniewek, Andrzej Kloczkowski, Robert L. Jernigan, “6: Statistical Contact Potentials in…. From the entry tetrakis hexahedron
- The polyhedron P∪D is a special spine of the twice punctured M, that is, of M with two balls B₁, B₂ cut out of it.2007, Sergei Matveev, “2 Complexity Theory of 3-Manifolds”, in Algorithmic Topology and Classification of 3-Manifolds, 2nd edition…. From the entry spine
- It will be seen below that this semiregular polyhedron is of importance in its relationship to periodic minimal surfaces serving as a conceptual reference.1993, H. Terrones, A. L. MacKay, “The Geometry of Hypothetical Curved Graphite Structures”, in H. W. Kroto, J.E. Fischer, Deann Cox…. From the entry semiregular
- The Solid Shapes Lab, another Science Materials Center contribution to future mathematicians, together to form not only regular polyhedrons but rhombicosidodecahedrons, truncated icosidodecahedrons, and such.1961, The New Yorker, Volume 37, Part 4, page 172. From the entry truncated icosidodecahedron
- Like roofless polyhedra, treetopes have a designated base facet such that every face of dimension greater than one intersects the base in more than one point.2015, David Eppstein, “Treetopes and their Graphs”, in arXiv. From the entry treetopes
- Beyond 13% of strain, where the SB is already formed, the predominant class is the 13-face polyhedra, in particular the triskaidecahedra characterized by Voronoi index 〈0, 3, 6, 4〉.2015 July 20, Matías Sepúlveda-Macías, Nicolás Amigo, Gonzalo Gutiérrez, “Onset of plasticity and its relation to atomic structure in CuZr…. From the entry triskaidecahedron
- The pentakis dodecahedron with its full icosahedral symmetry illustrates the fact that it is impossible to form a convex polyhedron with more than sixty identical non-right triangles.1990, Peter Pearce, Structure in Nature Is a Strategy for Design, page 161. From the entry pentakis dodecahedron
Meaning of polyhedron
- noun A solid figure with many flat faces and straight edges.
- noun A polyscope, or multiplying glass.
- noun A stage in the growth of Hydrodictyon, when the resting spore breaks up into several megazoospores that put out horn-like appendages; these polyhedra break up into zoospores.
Questions about polyhedron in a sentence
- How do you use polyhedron in a sentence?
- Polyhedron is used as a noun. For example: “Of the convex polyhedra with regular faces, the only ones that have tetrahedral, octahedral, or icosahedral symmetry are the Platonic and Archimedean solids.”
- What is a short sentence with polyhedron?
- “Two semiregular polyhedra are classified as so-called quasiregular polyhedra.”
- What does polyhedron mean?
- Polyhedron means a solid figure with many flat faces and straight edges.
Source and license
Adapted from Wiktionary: polyhedron (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.
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