pentagonal
11Pentagonal dodecahedron — Pentagonal Pen*tag o*nal, a. [Cf. F. pentagonal, pentagone, L. pentagonus, pentagonius, Gr. ?.] Having five corners or angles. [1913 Webster] {Pentagonal dodecahedron}. See {Dodecahedron}, and {Pyritohedron}. [1913 Webster] …
12Pentagonal-Dodekaeder — Pentagonal Dodekaeder, s.v.w. Ikositetraeder, s. Polyeder …
13Pentagonal number — A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotationally symmetrical. The n …
14Pentagonal number theorem — In mathematics, the pentagonal number theorem, originally due to Euler, relates the product and series representations of the Euler function. It states that:prod {n=1}^infty (1 x^n)=sum {k= infty}^infty( 1)^kx^{k(3k 1)/2}.In other words, :(1 x)(1 …
15Pentagonal pyramidal number — A pentagonal pyramidal number is a figurate number that represents the number of objects in a pyramid with a pentagonal base.MathWorld|title=Pentagonal Pyramidal Number|urlname=PentagonalPyramidalNumber] The n th pentagonal pyramidal number is… …
16Pentagonal antiprism — In geometry, the pentagonal antiprism is the third in an infinite set of antiprisms formed by an even numbered sequence of triangle sides closed by two polygon caps. It consists of two pentagons joined to each other by a ring of 10 triangles for… …
17Pentagonal prism — In geometry, the pentagonal prism is a prism with a pentagonal base. It is a type of heptahedron.If faces are all regular, the pentagonal prism is a semiregular polyhedron, and the third in an infinite set of prisms formed by square sides and two …
18Pentagonal pyramid — Infobox Polyhedron with net Polyhedron Type=Johnson J1 J2 J3 Face List=5 triangles 1 pentagon Edge Count=10 Vertex Count=6 Symmetry Group= C 5v Vertex List=5(32.5) (35) Dual=self Property List= In geometry, a pentagonal pyramid is a pyramid with… …
19Pentagonal gyrobicupola — Infobox Polyhedron Polyhedron Type=Johnson J 30 J31 J32 Face List=10 triangles 10 squares 2 pentagons Edge Count=40 Vertex Count=20 Symmetry Group=D5d Vertex List=10(3.4.3.4) 10(3.4.5.4) Dual= Property List=convexIn geometry, the pentagonal… …
20Pentagonal orthocupolarotunda — Infobox Polyhedron Polyhedron Type=Johnson J 31 J32 J33 Face List=3.5 triangles 5 squares 2+5 pentagons Edge Count=50 Vertex Count=25 Symmetry Group= C 5v| Vertex List=10(3.4.3.5) 5(3.4.5.4) 2.5(3.5.3.5) Dual= Property List=convexIn geometry, the …
