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Two pentagonal pyramids fused base-to-base
A pentagonal bipyramid or pentagonal dipyramid is a polyhedron with ten triangular faces. It is constructed by attaching two pentagonal pyramids to each
Pentagonal_bipyramid
16th Johnson solid; pentagonal prism capped by pyramids
elongated pentagonal bipyramid or bicapped pentagonal prism is a polyhedron constructed by attaching two pentagonal pyramids onto the base of a pentagonal prism
Elongated pentagonal bipyramid
Elongated_pentagonal_bipyramid
Molecular structure having atoms at the centre and corners of a pentagonal bipyramid
chemistry, a pentagonal bipyramid is a molecular geometry with one atom at the centre with seven ligands at the corners of a pentagonal bipyramid. A perfect
Pentagonal bipyramidal molecular geometry
Pentagonal_bipyramidal_molecular_geometry
Solid with twenty equal triangular faces
led to the alternative names called bicapped pentagonal antiprism, or gyroelongated pentagonal bipyramid due to its construction process through
Regular_icosahedron
Molecular structure with atoms at the center and vertices of a triangular bipyramid
angles surrounding the central atom are not identical (see also pentagonal bipyramid), because there is no geometrical arrangement with five terminal
Trigonal bipyramidal molecular geometry
Trigonal_bipyramidal_molecular_geometry
Polyhedron formed by joining mirroring pyramids base-to-base
bipyramids, Examples of such bipyramids are the triangular bipyramid, octahedron (square bipyramid) and pentagonal bipyramid. If all their edges are equal
Bipyramid
Pyramid with a pentagon base
gyroelongated pentagonal pyramid J 11 {\displaystyle J_{11}} , a pentagonal bipyramid J 13 {\displaystyle J_{13}} , an elongated pentagonal bipyramid J 16 {\displaystyle
Pentagonal_pyramid
Polyhedron; 2 hexagonal pyramids joined base-to-base
usually associated with the regular polyhedral form with pentagonal faces. The hexagonal bipyramid has a plane of symmetry (which is horizontal in the figure
Hexagonal_bipyramid
Convex polyhedron with regular faces
with only triangle faces. J12 Triangular bipyramid J13 Pentagonal bipyramid J17 Gyroelongated square bipyramid J51 Triaugmented triangular prism J84 Snub
Johnson_solid
Polyhedron made of equilateral triangles
which can be considered the base. triangular bipyramid, regular octahedron, and pentagonal bipyramid; bipyramids with six, eight, and ten equilateral triangles
Deltahedron
Prism with a 5-sided base
the product {5}×{}. The dual of a pentagonal prism is a pentagonal bipyramid. The symmetry group of a right pentagonal prism is D5h of order 20. The rotation
Pentagonal_prism
triacontahedron, Pentagonal hexecontahedron Bipyramid Triangular bipyramid, Pentagonal bipyramid, Hexagonal bipyramid, Heptagonal bipyramid, Octagonal bipyramid, Decagonal
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
Convex polyhedron with 16 triangular faces
In geometry, the gyroelongated square bipyramid is a polyhedron with 16 triangular faces. it can be constructed from a square antiprism by attaching two
Gyroelongated square bipyramid
Gyroelongated_square_bipyramid
Polyhedron with 10 faces
4-antiprism) Square cupola (Johnson solid 4) Pentagonal bipyramid (Johnson solid 13, 5-bipyramid) Augmented pentagonal prism (Johnson solid 52) Augmented tridiminished
Decahedron
Five crystals arranged around a common axis
dimensions, such as pentagonal with pentagon, and polyhedra in three dimensions such as decahedral for a decahedron (pentagonal bipyramid) and icosahedral
Fiveling
Topics referred to by the same term
a cancelled Chinese light fighter aircraft Bacterial pneumonia Pentagonal bipyramid, a Johnson solid (J13) J13, a Nissan J engine July 13th, 2024 - the
J13
Polyhedron with 12 faces
two pentagonal pyramids from a regular icosahedron, resulting in ten triangles and two pentagons. It is C2v symmetry of order 4. Hexagonal bipyramid: a
Dodecahedron
rhombicosidodecahedron Pentagonal bipyramid Pentagonal cupola Pentagonal gyrobicupola Pentagonal gyrocupolarotunda Pentagonal orthobicupola Pentagonal orthobirotunda
List_of_mathematical_shapes
Polyhedron formed by capping a prism with pyramids
elongated bipyramids that are Johnson solids: Elongated triangular bipyramid (J14), Elongated square bipyramid (J15), and Elongated pentagonal bipyramid (J16)
Elongated_bipyramid
Convex polyhedron
In geometry, the pentagonal bifrustum or truncated pentagonal bipyramid is the third in an infinite series of bifrustum polyhedra. It has 10 trapezoidal
Pentagonal_bifrustum
Convex polyhedron with 12 triangular faces
disphenoid can be constructed from pentagonal bipyramid by cutting the two edges along that connecting the base of the bipyramid and then inserting two equilateral
Snub_disphenoid
and [IF5]2− (pentafluoroiodate(III)). Both are derived from the pentagonal bipyramid with two lone pairs occupying the apical positions and the five fluorine
Pentagonal planar molecular geometry
Pentagonal_planar_molecular_geometry
Topics referred to by the same term
class Shenyang J-16, a Chinese strike fighter aircraft Elongated pentagonal bipyramid, a Johnson solid (J16) Pneumonia J16, an orca, mother of Scarlet
J16
solids, as well as dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with different
List of small polyhedra by vertex count
List_of_small_polyhedra_by_vertex_count
3D shape obtained by revolving a rhombus about one of its axes of symmetry
bipyramids: Bipyramid name Digonal bipyramid Triangular bipyramid Square bipyramid Pentagonal bipyramid Hexagonal bipyramid ... Apeirogonal bipyramid
Bicone
Chemical element with atomic number 91 (Pa)
chloride forms yellow crystals where protactinium ions are arranged in pentagonal bipyramids and coordinated by 7 other ions. The coordination changes to octahedral
Protactinium
Solid with eight equal triangular faces
icosahedral graph, and the edge graphs of the pentagonal bipyramid, snub disphenoid and gyroelongated square bipyramid. More generally, when every vertex in a
Regular_octahedron
Polyhedron made by joining two identical frusta at their bases
symmetry, and also as a bipyramid with the two polar vertices truncated. They are duals to the family of elongated bipyramids. For a regular n-gonal bifrustum
Bifrustum
Shape with three equal sides
icosahedron, triangular bipyramid, pentagonal bipyramid, snub disphenoid, triaugmented triangular prism, and gyroelongated square bipyramid). The last five solids
Equilateral_triangle
Molecule containing only halogen elements of two or more kinds
reacting iodine pentafluoride with fluorine gas. The molecule is a pentagonal bipyramid. This compound is the only known interhalogen compound where the
Interhalogen
Convex polyhedron with 14 triangle faces
regular octahedron, regular icosahedron, pentagonal bipyramid, snub disphenoid, and gyroelongated square bipyramid. The dual polyhedron of the triaugmented
Triaugmented_triangular_prism
4-D polytope; direct sum of an icosahedron and a segment
(tetrahedra), it is a Blind polytope. Pentagonal bipyramid - A lower dimensional analogy Tetrahedral bipyramid Octahedral bipyramid - A lower symmetry form of the
Icosahedral_bipyramid
7-coordinate molecular geometry
shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped trigonal prism. Examples of the capped octahedral
Capped octahedral molecular geometry
Capped_octahedral_molecular_geometry
Pigment
which contain the {(Mo)Mo5}-type unit comprising a central MoO7 pentagonal bipyramid sharing edges with five MoO6 octahedra. The later unit occurs also
Molybdenum_blue
Polytope whose facets are all simplices
only triangular faces of any type. These polyhedra include bipyramids, gyroelongated bipyramids, deltahedra (wherein the faces are equilateral triangles
Simplicial_polytope
Any chemical compound having at least one fluorine atom
a charge-neutral metal compound. Rhenium heptafluoride adopts a pentagonal bipyramid molecular geometry. Calculations shows that the currently unknown
Fluorine_compounds
7-coordinate molecular geometry
shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped octahedron. Examples of the capped trigonal prismatic
Capped trigonal prismatic molecular geometry
Capped_trigonal_prismatic_molecular_geometry
Electron counting rules
6, 4n = 24, so the cluster is capped closo. Starting from a trigonal bipyramid, a face is capped. The carbonyls have been omitted for clarity. Example:
Polyhedral skeletal electron pair theory
Polyhedral_skeletal_electron_pair_theory
Chemical compound
as bidentate ligands and three of the four water molecules, in a pentagonal bipyramid configuration with two water molecules at the poles. pentahydrate
Iron(III)_nitrate
Polyhedron with 20 faces
polygonal base A bipyramid with twenty triangular faces Gyroelongated triangular cupola: A Johnson solid with 16 triangles, 3 pentagons, and 1 hexagon An
Icosahedron
Generalization of a polytope in real space
polygons, excluding the double prism polygons p{4}2, are limited to 5-edge (pentagonal edges) elements, and infinite regular apeirogons also include 6-edge (hexagonal
Complex_polytope
Symbol used in coordination chemistry
(stretched/compressed octahedral molecular geometry) 7 PBPY-7 [7by] pentagonal bipyramid Pentagonal bipyramid molecular geometry OCF-7 - face capped octahedron Capped
Polyhedral_symbol
Polyhedron formed by capping a prism with a pyramid
and Elongated pentagonal pyramid (J9). Higher forms can be constructed with isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Gyroelongated
Elongated_pyramid
Properties and behavior of hydrated cations in aqueous solution
water molecules in the plane perpendicular to the O-U-O axis in a pentagonal bipyramid structure, point group D5h. Neptunyl and plutonyl have the same structure
Metal ions in aqueous solution
Metal_ions_in_aqueous_solution
Polyhedron with eight triangular faces
Johnson solid, obtained by removing three pentagonal pyramids from a regular icosahedron, resulting in three pentagonal and five triangular faces. Heptagonal
Octahedron
Chemical compound
around the copper atoms, and are surrounded by five Cu atoms in a pentagonal bipyramid (see illustration). The S atoms at each end of a disulfide unit are
Copper_monosulfide
German material scientist (born 1958)
heptafluoride (ReF7), confirming its molecular configuration as a distorted pentagonal bipyramid with Cs (m) symmetry. In another joint study published in Science
Thomas_Vogt
Space-filling polyhedron with 8 faces
right-angled pentagonal faces. The first name is from the regular-faced gyrobifastigium but elongated with 4 triangles expanded into pentagons. The name
Elongated_gyrobifastigium
the central pentagon exterior, as every ray beginning within it crosses two edges. In geometry, the pentagrammic dipyramid (or bipyramid) is first of
Pentagrammic_prism
Notation to represent symmetry in point groups
A pentagonal bipyramid and the Schoenflies notation that defines its symmetry: D5h (a vertical quintuple axis of symmetry and a plane of horizontal symmetry
Schoenflies_notation
Minor ore of uranium
ultraviolet light. Uranopilite contains clusters of six uranyl pentagonal bipyramids that share equatorial edges and vertices, with the clusters cross-linked
Uranopilite
between the first and last tetrahedron). However, the similar-looking pentagonal bipyramid is not a stacked polytope, because if it is formed by gluing tetrahedra
Stacked_polytope
Water molecules present inside crystals
isostructural with Cr(NO3)3(H2O)9 Fe(NO3)3(H2O)4 [Fe(H2O)3(κ2-O2NO)2]+ one pentagonal bipyramid Fe(NO3)3(H2O)5 [Fe(H2O)5(κ1-ONO2)]2+ none octahedral configuration
Water_of_crystallization
Self-crossing 8-sided flexible polyhedron
combining two Bricard octahedra to form a self-crossing flexible pentagonal bipyramid, and then replacing one of its faces by three triangles to eliminate
Bricard_octahedron
Class of chemical compounds
(2000-07-01). "Synthesis, Structure, and Bonding of A5Cd2Tl11, A = Cs, Rb. Naked Pentagonal Antiprismatic Columns Centered by Cadmium". Inorganic Chemistry. 39 (14):
Thallide
3-dimensional geometric figure
combining two Bricard octahedra to form a self-crossing flexible pentagonal bipyramid. Kaleidocycle or (flextangle) is another example of a flexible polyhedron
Flexible_polyhedron
Solid with 2 parallel n-gonal bases connected by n parallelograms
Prisms are named after their bases, e.g. a prism with a pentagonal base is called a pentagonal prism. Prisms are a subclass of prismatoids. Like many basic
Prism_(geometry)
Polyhedron with 15 faces
Examples of pentadecahedra Dual elongated triangular cupola Elongated pentagonal bipyramid Tridecagonal prism Elongated heptagonal pyramid
Pentadecahedron
Type of polyhedron
In geometry, a rectified prism (also rectified bipyramid) is one of an infinite set of polyhedra, constructed as a rectification of an n-gonal prism,
Rectified_prism
Uranyl carbonate mineral
The important features of the structure are: presence of uranyl pentagonal bipyramids (UPB), formed by coordination of (eight) uranyl groups by three
Bijvoetite-(Y)
Flexible polyhedron with 14 triangle faces
Grasegger, Georg; Legerský, Jan; Schicho, Josef (October 17, 2024), Pentagonal bipyramids lead to the smallest flexible embedded polyhedron, arXiv:2410.13811
Steffen's_polyhedron
Protein domain
coagulation factor IX it has been shown that the calcium-ligands form a pentagonal bipyramid. The first, third and fourth conserved negatively charged or polar
Calcium-binding_EGF_domain
Carbonate mineral
hexagonal bipyramid. (U3) is surrounded by seven O atoms forming a squat UO7 pentagonal bipyramid. The two short apical bonds of all three bipyramids constitute
Meyrowitzite
a Blind polytope. Two copies can be augmented to make an icosahedral bipyramid which is also a Blind Polytope. The regular 600-cell has icosahedral pyramids
Icosahedral_pyramid
Shapes for crystals with interfaces and twins
pentagonal bipyramids for the fivelings with sharp corners and edges, and sharp icosahedral for the particles made of twenty subunits. The pentagonal
Extended_Wulff_constructions
polyhedra. (a) Tetrahedron (Td), (b) Trigonal bipyramid (D3h). (c) Octahedron (Oh). (d) Pentagonal bipyramid (D5d). (e) Capped octahedron (Cs). (f) Octadecahedron
Iron–nickel_clusters
Convex polytope of parenthesizations
to make from squares and regular pentagons, but it is not. If the pentagonal faces are chosen as regular pentagons, then the quadrilateral faces will
Associahedron
Uniform 4-polytope bounded by 320 cells
antiprism or pentagonal double antiprismoid is a uniform 4-polytope (4-dimensional uniform polytope) bounded by 320 cells: 20 pentagonal antiprisms, and
Grand_antiprism
the M1 through four sites. The M1 and M2 cites create distorted pentagonal bipyramids while the M3 and M4 create tricapped trigonal prisms. The M3 and
Cesanite
Polyhedron with 16 faces
hexadecahedra. Heptagonal antiprism Gyroelongated pentagonal pyramid Gyroelongated square bipyramid Augmented dodecahedron Truncated triakis tetrahedron
Hexadecahedron
Chemical compound
crystals and has a unique structure composed of chains of 7 coordinate pentagonal bipyramids which share their edges. Protactinium(V) chloride can react with
Protactinium(V)_chloride
Very rare uranium mineral
structure of meisserite is unique. The building elements include: pentagonal bipyramids of uranyl groups SO4 groups These elements link to form chains.
Meisserite
Isogonal polyhedron with regular faces
hexagonal bipyramid and alternately colored triangles on a sphere: There are 16 fundamental triangles, visible in the faces of the octagonal bipyramid and alternately
Uniform_polyhedron
trianion [U(N3)7]3- which crystallizes as a monocapped octahedron or pentagonal bipyramid. Several N-donor adducts are known to exist as well. Reactions of
Transition metal azide complex
Transition_metal_azide_complex
Cartesian product of two polytopes
base polygons, for example: a triangular-pentagonal duoprism is the Cartesian product of a triangle and a pentagon. An alternative, more concise way of specifying
Duoprism
Polyhedron formed by capping an antiprism with a pyramid
constructed allowing for isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Elongated pyramid Diminished trapezohedron Rajwade, A. R. (2001)
Gyroelongated_pyramid
Polytope made by turning a polytope's facets into pyramids
Kleetope of the triangular bipyramid, has six vertices added in the Kleetope construction and only five in the bipyramid from which it was formed, so
Kleetope
Polyhedron made by truncating one end of a trapezohedron
to form half of a hexagram. Elongated pyramid Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid "Chestahedron Geometry". The Art & Science
Diminished_trapezohedron
Notation for polytopes and tessellations
For example, {5,3} is the regular dodecahedron. It has pentagonal (5 edges) faces, and 3 pentagons around each vertex. See the 5 convex Platonic solids
Schläfli_symbol
Discrete subgroup in geometry
lattice. Examples include the regular pentagon, heptagon, and nonagon and the equilateral triangular bipyramid. Włodzimierz Kuperberg and Greg Kuperberg
Double_lattice
Regular polytope dual to the hypercube in any number of dimensions
|x_{1}|+|x_{2}|+\cdots +|x_{n}|\leq 1.} An n-orthoplex can be constructed as a bipyramid with an (n−1)-orthoplex base. The cross-polytope is the dual polytope
Cross-polytope
Modular origami module
resulting in two triangular pyramids joined at the base, a triangular bipyramid. A popular intermediate model is the triakis icosahedron, shown below
Sonobe
Rare sulfate mineral
A U6+ atom is surrounded by 7 O atoms in a pentagonal bipyramid shape. These UO7 pentagonal bipyramids are connected in pairs, sharing one common edge
Greenlizardite
Generalisation of dice with identical faces
vertex-transitive, i.e. isogonal. The Catalan solids, the Platonic Solids, the bipyramids, and the trapezohedra are all isohedral. They are the duals of the (isogonal)
Isohedral_figure
fluoride forms white crystals where protactinium ions are arranged in pentagonal bipyramids and coordinated by 7 other ions. The coordination is the same in
Protactinium_compounds
Polyhedron with 17 faces
A pentagonal rotunda is a rotunda with a pentagon as its base. It consists of 17 faces, 35 edges and 20 vertices. Its 17 faces consist of 1 pentagon top
Heptadecahedron
Chemical compound
phenyl group occupying one of the three equatorial positions of a trigonal bipyramid (lone pairs occupy the other two) and the axial positions occupied by
(Diacetoxyiodo)benzene
Polyhedron with 24 faces
isosceles triangles Deltoidal icositetrahedron - kites Pentagonal icositetrahedron - pentagons 27 uniform star-polyhedral duals: (self-intersecting) Small
Icositetrahedron
Truncated trapezohedron with a 3-sided base
is the first in an infinite series of truncated trapezohedra. It has 6 pentagon and 2 triangle faces. This polyhedron can be constructed by truncating
Truncated triangular trapezohedron
Truncated_triangular_trapezohedron
Spherical polyhedron composed of lunes
lune into two spherical triangles creates an n {\displaystyle n} -gonal bipyramid, which represents the dihedral symmetry D n h {\displaystyle D_{nh}}
Hosohedron
Pyramid with a square base
J 51 {\displaystyle J_{51}} , augmented pentagonal prism J 52 {\displaystyle J_{52}} , biaugmented pentagonal prism J 53 {\displaystyle J_{53}} , augmented
Square_pyramid
Conic solid with a polygonal base
Examples are square pyramid and pentagonal pyramid, a four- and five-triangular faces pyramid with a square and pentagon base, respectively; they are classified
Pyramid_(geometry)
Tiling of hyperbolic 3-space by uniform polyhedra
and order-4 pentagonal tilings ) and (which is the prism of the order-4 pentagonal tiling, having pentagonal prisms and order-4 pentagonal tilings ). These
Uniform honeycombs in hyperbolic space
Uniform_honeycombs_in_hyperbolic_space
Polyhedron with 9 faces
equilateral square pyramid to the face of a cube. Elongated triangular bipyramid: a Johnson solid with six equilateral triangles and three squares. Obtained
Enneahedron
Polyhedron made of congruent kites arranged radially
quadrilateral goes to zero length, and the n-trapezohedron becomes an n-bipyramid.) If the kites surrounding the two peaks are not twisted but are of two
Trapezohedron
Any of 4 regular star polyhedra
constructed from a great dodecahedron with twenty asymmetric triangular bipyramids, attaching to the hollow between the wedges. John Conway introduces operators
Kepler–Poinsot_polyhedron
Polyhedron with 6 faces
Image Name Triangular bipyramid Pentagonal pyramid Doubly truncated tetrahedron Features 5 vertices 9 edges 6 triangles 6 vertices 10 edges 4 triangles
Hexahedron
Catalan solid with 120 faces
snub dodecahedron, with 92 faces, in second place. If the bipyramids, the gyroelongated bipyramids, and the trapezohedra are excluded, the disdyakis triacontahedron
Disdyakis_triacontahedron
Prism with a 7-sided base
[7,2], (*722), order 28 Rotation group D7, [7,2]+, (722), order 14 Dual polyhedron Heptagonal bipyramid Properties Convex semiregular Vertex figure
Heptagonal_prism
Three-dimensional solid
also be viewed as the dual of a bicone, interpreted as an infinite-sided bipyramid. Lists of shapes Steinmetz solid, the intersection of two or three perpendicular
Cylinder
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PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
PENTAGONAL BIPYRAMID
n.
A pentagon.
n.
The pentagonal dodecahedron, a common form of pyrite.
a.
Having seven angles or sides.
a.
Of or pertaining to plants of the order Pentagyna; having five styles.
a.
Heptagonal.
a.
Pentagonal.
a.
Consisting of two pyramids placed base to base; having a pyramid at each of the extremities of a prism, as in quartz crystals.
n. pl.
A class of Echinodermata including the true starfishes. The rays vary in number and always have ambulacral grooves below. The body is star-shaped or pentagonal.
adv.
In the form of a pentagon; with five angles.
n.
A plane figure having five angles, and, consequently, five sides; any figure having five angles.
a.
Having five corners or angles.
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