In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the apex). Like any pyramid, it is self-dual.
The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles. It is one of the Johnson solids (J2).
It can be seen as the "lid" of an icosahedron; the rest of the icosahedron forms a gyroelongated pentagonal pyramid, J11.
More generally an order-2 vertex-uniform pentagonal pyramid can be defined with a regular pentagonal base and 5 isosceles triangle sides of any height.
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pentagonalpyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the apex). Like any pyramid...
gyroelongated pentagonalpyramid is one of the Johnson solids (J11). As its name suggests, it is formed by taking a pentagonalpyramid and "gyroelongating"...
elongated pentagonalpyramid is one of the Johnson solids (J9). As the name suggests, it can be constructed by elongating a pentagonalpyramid (J2) by attaching...
degrees, it follows that at most five faces meet at any vertex. The pentagonalpyramid (J2) is an example that has a degree-5 vertex. Although there is no...
can be constructed from pentagonal antiprism by attaching two pentagonalpyramids with regular faces to each of its pentagonal faces, or by putting points...
the pentagonal bipyramid (or pentagonal dipyramid) is a polyhedron with 10 triangular faces. It is constructed by attaching two pentagonalpyramids to...
echinoderms with a pentagonal shape. A Ho-Mg-Zn icosahedral quasicrystal formed as a pentagonal dodecahedron. The faces are true regular pentagons. A pyritohedral...
In chemistry, pentagonalpyramidal molecular geometry describes the shape of compounds where in six atoms or groups of atoms or ligands are arranged around...
dodecahedron or kisdodecahedron is a polyhedron created by attaching a pentagonalpyramid to each face of a regular dodecahedron; that is, it is the Kleetope...
net of a pentagonalpyramid although with isosceles triangles. The pentagram can be constructed by connecting alternate vertices of a pentagon; see details...
constructed with pentagonal faces with 3 edge lengths. This variation shown can be constructed by adding pyramids to 12 pentagonal faces and 20 triangular...
elongated square bipyramid is a pentagonal bifrustum. Elongated pentagonalpyramid Weisstein, Eric W., "Elongated pentagonal bipyramid" ("Johnson solid")...
consisting of a dodecahedron with a pentagonalpyramid (J2) attached to one of the faces. When two or three such pyramids are attached, the result may be...
triangular number of points on each triangular face and a pentagonal number of points on the pentagonal face, then the total number of points in this configuration...
TeBr2− 6, BiCl3− 6, BiBr3− 6 and BiI3− 6, are octahedral, rather than pentagonalpyramids, and the lone pair does not affect the geometry to the degree predicted...
decagonal pyramid, and enneagonal prism. Three forms are Johnson solids: augmented hexagonal prism, biaugmented triangular prism, and elongated pentagonal pyramid...
This is comparable with the 24th square pyramid having a total of 702 cannon balls. Similarly, a pentagonal-pyramid version of the Cannon Ball problem to...
pyramids around every vertex. The dual to the icosahedral pyramid is the dodecahedral pyramid, seen as a dodecahedral base, and 12 regular pentagonal...
fifth power of two, 32). In figurate numbers, 5 is a pentagonal number, with the sequence of pentagonal numbers starting: 1, 5, 12, 22, 35, ... 5 is a centered...
– exists in "left-handed" and "right-handed" mirror image forms. Pentagonalpyramid 36 Faces 9 E, 5 V 4.4.3.3.3.3 Faces 10 E, 6 V 4.4.4.4.3.3 Faces 11...
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