a solid figure consisting of four or more plane faces (all polygons), pairs of which meet along an edge, three or more edges meeting at a vertex. In a regular polyhedron all the faces are identical regular polygons making equal angles with each other. Specific polyhedrons are named according to the number of faces, such as tetrahedron, icosahedron, etc
Derived forms
polyhedral (ˌpolyˈhedral)
adjective
Word origin
C16: from Greek poluedron, from poly- + hedron side, base
Examples of 'polyhedra' in a sentence
polyhedra
Based on our characterizations we find efficient algorithms for constructing orthogonal polyhedra from their graphs.
David Eppstein, Elena Mumford 2014, 'Steinitz theorems for simple orthogonal polyhedra', Journal of Computational Geometryhttp://jocg.org/index.php/jocg/article/view/129. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Polyhedra that were purified from the infected larvae were subjected to structural protein analysis.
Bruce D. Hammock, Shizuo G. Kamita, El-Adarosy A. Gomaa, El-Sayed A. El-Sheikh, DidairA. Ragheb, Mohamed-Bassem Ashour 2007, 'Biosafety of Recombinant and Wild Type Nucleopolyhedroviruses as Bioinsecticides',International Journal of Environmental Research and Public Healthhttp://www.mdpi.com/1660-4601/4/2/111/. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In the extended structure, their polyhedra share edges and corners to form a three-dimensional network.
Alagappa Rammohan, James A. Kaduk 2017, 'Crystal structure of trirubidium citrate monohydrate from laboratory X-ray powderdiffraction data and DFT comparison', Acta Crystallographica Section E: Crystallographic Communicationshttp://scripts.iucr.org/cgi-bin/paper?S2056989017000743. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
For both types of cations, distorted coordination polyhedra are observed.
Amor Haddad, Anissa Haj Abdallah 2012, 'The aluminoarsenate K1.8Sr0.6Al3(AsO4)4', Acta Crystallographica Section Ehttp://scripts.iucr.org/cgi-bin/paper?S1600536812014304. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The coordination polyhedra share edges and corners to form a three-dimensional framework.
Alagappa Rammohan, James A. Kaduk 2017, 'Crystal structure of trirubidium citrate from laboratory X-ray powder diffractiondata and DFT comparison', Acta Crystallographica Section E: Crystallographic Communicationshttp://scripts.iucr.org/cgi-bin/paper?S2056989017001086. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Virions within the polyhedra contained 1–8 nucleocapsids per unit envelope.
Shannon R. Escasa, Robert L. Harrison, Joseph D. Mowery, Gary R. Bauchan, Jenny S.Cory 2019, 'The complete genome sequence of an alphabaculovirus from Spodoptera exempta, an agriculturalpest of major economic significance in Africa', PLOS ONE10.1371/journal.pone.0209937. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The resulting coordination polyhedra of the two types of cations are highly distorted.
Mohamad Alem Bouhassine, Habib Boughzala 2014, 'The aluminoarsenate Na1.67K1.33Al3(AsO4)4', Acta Crystallographica Section Ehttp://scripts.iucr.org/cgi-bin/paper?S1600536813033850. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We describe symplectic and complex toric spaces associated with the five regular convex polyhedra.
Fiammetta Battaglia, Elisa Prato 2017, 'Toric Geometry of the Regular Convex Polyhedra', Journal of Mathematicshttp://dx.doi.org/10.1155/2017/2542796. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This paper briefly describes the topological and metric properties of these special polyhedra.
Paulo Rangel Rios, Martin Eden Glicksman 2006, 'Modeling polycrystals with regular polyhedra', Materials Researchhttp://www.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392006000200021. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)