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Any composite polyhedron can be constructed by attaching two or more non-composite polyhedra. Alternatively, it can be defined as a convex polyhedron that can separated into two or more non-composite polyhedra. Examples can be found in a polyhedron that is constructed by attaching the regular base of
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if there exists a plane through a cycle of its edges that is not a face. Slicing the polyhedron on this plane produces two polyhedra, having together the same faces as the original polyhedron along with two new faces on the plane of the slice. Repeated slicing of this type decomposes any polyhedron
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Computational
Science — ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings, Part III
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is a convex polyhedron that produces other polyhedrons when sliced by a plane. Examples can be found in
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112:. Some Johnson solids are examples of that construction, and they have other constructions as in
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277:. In Sloot, Peter M.A.; Tan, C.J. Kenneth; Dongaraa, Jack J.; Hoekstra, Alfons G. (eds.).
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120:(a polyhedron constructed by attaching those onto the bases of an antiprism).
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116:(a polyhedron constructed by attaching those onto the bases of a prism), and
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104:, although its general meaning is constructed by attaching pyramids,
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185:. Undergraduate Texts in Mathematics. Springer-Verlag. p. 464.
281:. Lecture Notes in Computer Science. Vol. 2331. p. 89.
350:"Composite Concave Cupolae as Geometric and Architectural Forms"
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Slobodan, Mišić; Obradović, Marija; Ðukanović, Gordana (2015).
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polyhedra. Some examples of non-composite polyhedron are the
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Berman, Martin (1971). "Regular-faced convex polyhedra".
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Polyhedron sliced by a plane into other polyhedrons
100:onto another polyhedron. This process is known as
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209:(1966). "Convex Solids with Regular Faces".
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275:"The Morphology of Building Structures"
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241:"Junction of Non-composite Polyhedra"
144:"Convex Polyhedra with Parquet Faces"
248:St. Petersburg Mathematical Journal
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357:Journal for Geometry and Graphics
315:Journal of the Franklin Institute
211:Canadian Journal of Mathematics
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260:10.1090/S1061-0022-10-01105-2
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327:10.1016/0016-0032(71)90071-8
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182:Geometry: Euclid and Beyond
79:One of the Johnson solids,
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239:Timofeenko, A. V. (2010).
142:Timofeenko, A. V. (2009).
85:equilateral square pyramid
56:, and the other seventeen
163:10.1134/S1064562409050238
81:elongated square pyramid
31:Definition and examples
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44:into non-composite or
287:10.1007/3-540-47789-6
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386:Composite polyhedron
273:Huybers, P. (2002).
151:Docklady Mathematics
21:composite polyhedron
70:regular icosahedron
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66:regular octahedron
296:978-3-540-43594-5
177:Hartshorne, Robin
62:regular polyhedra
37:convex polyhedron
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19:In geometry, a
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118:gyroelongation
58:Johnson solids
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102:augmentation
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60:. Among the
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363:(1): 79–91.
217:: 169–200.
375:Categories
124:References
114:elongation
46:elementary
381:Polyhedra
54:antiprism
41:composite
179:(2000).
110:rotundas
98:pyramids
335:0290245
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108:, and
106:cupola
87:and a
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50:prisms
353:(PDF)
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291:ISBN
187:ISBN
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68:and
323:doi
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