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Concept in geometry
In geometry, the order-8 triangular tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {3,8}, having eight regular
Order-8_triangular_tiling
Concept in geometry
geometry, the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,7}. The symmetry group of the tiling is the
Order-7_triangular_tiling
Semiregular tiling of the hyperbolic plane
In geometry, the truncated order-8 triangular tiling is a semiregular tiling of the hyperbolic plane. There are two hexagons and one octagon on each vertex
Truncated order-8 triangular tiling
Truncated_order-8_triangular_tiling
Regular tiling of the plane
geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the
Triangular_tiling
order-8 triangular tiling {3,8} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings
Order-8-3 triangular honeycomb
Order-8-3_triangular_honeycomb
Concept in mathematics
In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of
Snub order-8 triangular tiling
Snub_order-8_triangular_tiling
trihexagonal tiling and hexagonal tiling cells, with a triangular prism vertex figure. A lower symmetry of this honeycomb can be constructed as a cantic order-6
Triangular_tiling_honeycomb
truncated infinite-order triangular tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t{3,∞}. The dual of this tiling represents the
Truncated infinite-order triangular tiling
Truncated_infinite-order_triangular_tiling
Concept in geometry
In geometry, the infinite-order triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,∞}. All vertices are ideal
Infinite-order triangular tiling
Infinite-order_triangular_tiling
Semiregular tiling of the plane
In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex
Elongated_triangular_tiling
Semiregular tiling of the hyperbolic plane
In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There
Truncated order-7 triangular tiling
Truncated_order-7_triangular_tiling
Symmetric subdivision in hyperbolic geometry
hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic
Uniform tilings in hyperbolic plane
Uniform_tilings_in_hyperbolic_plane
infinitely many tetrahedra existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform
Order-7_tetrahedral_honeycomb
Regular space-filling tessellation with Schläfli symbol (7,3,7)
ideal boundary) with seven heptagonal tilings existing around each edge and with an order-7 triangular tiling vertex figure. It a part of a sequence
Order-3-7 heptagonal honeycomb
Order-3-7_heptagonal_honeycomb
Semiregular tiling of the hyperbolic plane
3}, as well as an expanded octagonal tiling or expanded order-8 triangular tiling. This tiling has [8,3], (*832) symmetry. There is only one uniform coloring
Rhombitrioctagonal_tiling
the ideal boundary) with seven hexagonal tilings existing around each edge and with an order-7 triangular tiling vertex figure. It a part of a sequence
Order-3-7_hexagonal_honeycomb
Regular tiling of the hyperbolic plane
truncated order-8 square tiling, t{4,8}. Like the hexagonal tiling of the Euclidean plane, there are 3 uniform colorings of this hyperbolic tiling. The dual
Octagonal_tiling
Regular paracompact honeycomb
the hexagonal tiling honeycomb is {6,3,3}. Since that of the hexagonal tiling is {6,3}, this honeycomb has three such hexagonal tilings meeting at each
Hexagonal_tiling_honeycomb
regular honeycombs with order-7 triangular tiling cells: {3,7,p}. It is a part of a sequence of regular honeycombs with heptagonal tiling vertex figures: {p
Order-7-3 triangular honeycomb
Order-7-3_triangular_honeycomb
In geometry, the snub infinite-order triangular tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of s{3,∞}. John H. Conway, Heidi
Snub infinite-order triangular tiling
Snub_infinite-order_triangular_tiling
Regular tiling of a two-dimensional space
one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling. The hexagonal tiling has a structure consisting
Hexagonal_tiling
of the order-4 hexagonal tiling honeycomb is {6,3,4}. Since that of the hexagonal tiling is {6,3}, this honeycomb has four such hexagonal tilings meeting
Order-4 hexagonal tiling honeycomb
Order-4_hexagonal_tiling_honeycomb
the order-6-4 triangular honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,6,4}. It has four triangular tiling {3
Order-6-4 triangular honeycomb
Order-6-4_triangular_honeycomb
vertex figures: The rectified order-6 hexagonal tiling honeycomb, t1{6,3,6}, has triangular tiling and trihexagonal tiling facets, with a hexagonal prism
Order-6 hexagonal tiling honeycomb
Order-6_hexagonal_tiling_honeycomb
Euclidean 3-space) 1 p + 1 q = 1 2 : Euclidean plane tiling 1 p + 1 q < 1 2 : Hyperbolic plane tiling {\displaystyle {\begin{aligned}&{\frac {1}{p}}+{\frac
List_of_regular_polytopes
Semiregular tiling of a plane
are 8 forms, 7 which are topologically distinct. (The truncated triangular tiling is topologically identical to the hexagonal tiling.) This tiling is topologically
Truncated_hexagonal_tiling
Uniform tiling of the Euclidean plane
are 8 forms, 7 which are topologically distinct. (The truncated triangular tiling is topologically identical to the hexagonal tiling.) This tiling can
Truncated_trihexagonal_tiling
of the order-5 hexagonal tiling honeycomb is {6,3,5}. Since that of the hexagonal tiling is {6,3}, this honeycomb has five such hexagonal tilings meeting
Order-5 hexagonal tiling honeycomb
Order-5_hexagonal_tiling_honeycomb
1959 woodcut by M. C. Escher
where four fish meet at their fins, form the vertices of an order-8 triangular tiling, while the points where three fish fins meet and the points where
Circle_Limit_III
Tiling of the hyperbolic plane
automorphism group of order 168), and the induced tiling has 24 heptagons, meeting at 56 vertices. The dual order-7 triangular tiling has the same symmetry
Heptagonal_tiling
tiling-triangular tiling honeycomb is a paracompact uniform honeycomb, constructed from triangular tiling, hexagonal tiling, and trihexagonal tiling cells
Hexagonal tiling-triangular tiling honeycomb
Hexagonal_tiling-triangular_tiling_honeycomb
Polyhedron with 2 faces
called bihedra, flat polyhedra, or doubly covered polygons. As a spherical tiling, a dihedron can exist as nondegenerate form, with two n-sided faces covering
Dihedron
Semiregular tiling of the Euclidean plane
degenerate into edges, a triangular tiling results, constructed as a snub triangular tiling, . There is one related 2-uniform tiling, having hexagons dissected
Rhombitrihexagonal_tiling
Tessellation Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic plane Weisstein
List_of_tessellations
a triangular pyramid vertex figure. It is the same as the cantitruncated order-4 square tiling honeycomb, tr{4,4,4}, . The bitruncated square tiling honeycomb
Square_tiling_honeycomb
arrangement as the regular order-7 triangular tiling, {3,7}. The full set of edges coincide with the edges of a heptakis heptagonal tiling. It is related to a
Heptagrammic-order heptagonal tiling
Heptagrammic-order_heptagonal_tiling
Square tiling Triangular tiling Hexagonal tiling Apeirogon Dihedron Lobachevski plane Hyperbolic tiling Order-7 heptagrammic tiling Heptagrammic-order heptagonal
List_of_mathematical_shapes
Tiling of the hyperbolic plane
geometry, the order-7 heptagrammic tiling is a tiling of the hyperbolic plane by overlapping heptagrams. This tiling is a regular star-tiling, and has Schläfli
Order-7_heptagrammic_tiling
Semiregular tiling of the plane
In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. Its Schläfli
Snub_square_tiling
Polyhedron with eight triangular faces
have six vertices, eight triangular faces, and twelve edges that correspond one-for-one with the features of it: Triangular antiprisms: Two faces are
Octahedron
infinitely many dodecahedra existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform
Order-7 dodecahedral honeycomb
Order-7_dodecahedral_honeycomb
Tiling of a plane by regular hexagons and equilateral triangles
trihexagonal tiling can be geometrically distorted into topologically equivalent tilings of lower symmetry. In these variants of the tiling, the edges do
Trihexagonal_tiling
Spherical polyhedron composed of lunes
must have at least three sides. When considering polyhedra as a spherical tiling, this restriction may be relaxed, since digons (2-gons) can be represented
Hosohedron
Tiling of hyperbolic 3-space by uniform polyhedra
rhombicuboctahedra , infinite order-8 triangular tilings , and infinite order-8 square tilings . The order-8 square tilings already intersect the sphere
Uniform honeycombs in hyperbolic space
Uniform_honeycombs_in_hyperbolic_space
Semiregular tiling of the hyperbolic plane
The tiling has a vertex configuration of 3.14.14. The dual tiling is called an order-7 triakis triangular tiling, seen as an order-7 triangular tiling with
Truncated_heptagonal_tiling
Regular tiling of the Euclidean plane
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane consisting of four squares around every vertex
Square_tiling
Geometric tiling
overlaying an order-3 heptagonal tiling and an order-7 triangular tiling. From a Wythoff construction there are eight hyperbolic uniform tilings that can be
Rhombitriheptagonal_tiling
can be seen as a projection onto the sphere. Its vertex figure, a triangular tiling is seen on each hemisphere. Stereographic projections of central spherical
Order-6 triangular hosohedral honeycomb
Order-6_triangular_hosohedral_honeycomb
Semiregular tiling of the Euclidean plane
densest packing from the triangular tiling. This semiregular tiling is a member of a sequence of snubbed polyhedra and tilings with vertex figure (3.3
Snub_trihexagonal_tiling
Natural number
tiling. This tiling is one of eight Archimedean tilings that are semi-regular, or made of more than one type of regular polygon, and the only tiling that
8
square tiling honeycomb, is the same thing as the rectified square tiling honeycomb, . It has cube and square tiling facets, with a triangular prism vertex
Order-4 square tiling honeycomb
Order-4_square_tiling_honeycomb
Method of describing higher-order polyhedra
Euclidean tilings can also be used as seeds: Q = Quadrille = Square tiling H = Hextille = Hexagonal tiling = dΔ Δ = Deltille = Triangular tiling = dH These
Conway_polyhedron_notation
Periodic tiling of the hyperbolic disk
In geometry, the order-3 apeirogonal tiling is a regular tiling of the hyperbolic plane. It is represented by the Schläfli symbol {∞,3}, having three regular
Order-3_apeirogonal_tiling
Concept in mathematics
dual tiling, the infinite-order triakis triangular tiling, has face configuration V3.∞.∞. This hyperbolic tiling is topologically related as a part of sequence
Truncated order-3 apeirogonal tiling
Truncated_order-3_apeirogonal_tiling
Polyhedron with two kinds of faces
the triheptagonal tiling, vertex figure (3.7)2 - a quasiregular tiling based on the order-7 triangular tiling and heptagonal tiling. Coxeter, H.S.M. et
Quasiregular_polyhedron
Regular tiling in geometry
In geometry, the order-4 apeirogonal tiling is a regular tiling of the hyperbolic plane. It covers the hyperbolic plane, which is a non-Euclidean surface
Order-4_apeirogonal_tiling
Shape with six sides
Euclidean space Hexagonal crystal system Hexagonal number Hexagonal tiling: a regular tiling of hexagons in a plane Hexagram: six-sided star within a regular
Hexagon
Polyform whose base form is an equilateral triangle
rules. Triangular tiling Rhombille tiling Sphinx tiling Weisstein, Eric W. "Polyiamond". MathWorld. Polyiamonds at The Poly Pages. Polyiamond tilings. VERHEXT
Polyiamond
Polyhedron resembling a soccerball
However, it was superseded in 2006. Geodesic domes are typically based on triangular facetings of this geometry, with example structures found across the world
Truncated_icosahedron
Subdivision of the plane into polygons that are all regular
vertices with 2 different vertex types, so this tiling would be classed as a "3-uniform (2-vertex types)" tiling. Broken down, 36; 36 (both of different transitivity
Euclidean tilings by convex regular polygons
Euclidean_tilings_by_convex_regular_polygons
Automorphism group of the Klein quartic
Dually, it can be tiled with 56 equilateral triangles, with 24 vertices, each of degree 7, as a quotient of the order-7 triangular tiling. Klein's quartic
PSL(2,7)
Covering by shapes without overlaps or gaps
wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form
Tessellation
Regular tiling of hyperbolic 3-space
cells, with an irregular triangular antiprism vertex figure. It is analogous to the 2D hyperbolic rhombitetrapentagonal tiling, rr{4,5}, with square and
Order-5_cubic_honeycomb
Polyhedron; 2 hexagonal pyramids joined base-to-base
hexagonal pyramids joined at their bases. The resulting solid has 12 triangular faces, 8 vertices and 18 edges. The 12 faces are identical isosceles triangles
Hexagonal_bipyramid
Prism with a 3-sided base
A triangular prism or trigonal prism is a prism with two triangular bases in geometry. If the edges pair with each triangle's vertex and if they are perpendicular
Triangular_prism
Tiling of the hyperbolic plane
geometry, the order-6 apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,6}. The dual to this tiling represents
Order-6_apeirogonal_tiling
Group realized geometrically by reflections across the sides of a triangle
centrally symmetric. Hence each of them determines a tiling of the real projective plane, an elliptic tiling. Its symmetry group is the quotient of the spherical
Triangle_group
Semiregular tiling of the hyperbolic plane
In geometry, the order-3 snub heptagonal tiling is a semiregular tiling of the hyperbolic plane. There are four triangles and one heptagon on each vertex
Snub_triheptagonal_tiling
Compact Riemann surface of genus 3
56 × 3 = 168 The covering tilings on the hyperbolic plane are the order-3 heptagonal tiling and the order-7 triangular tiling. The automorphism group can
Klein_quartic
Natural number, composite number
polygons that can fill a plane-vertex tiling, where five polygons tile the plane uniformly, and nine others only tile the plane alongside irregular polygons
14_(number)
order-3-6 octagonal honeycomb is {8,3,6}, with six octagonal tilings meeting at each edge. The vertex figure of this honeycomb is a triangular tiling
Order-3-6 heptagonal honeycomb
Order-3-6_heptagonal_honeycomb
Vertex-transitive tiling of the plane by regular polygons
regular triangular tiling). A tiling can also be self-dual. The square tiling, with Schläfli symbol {4,4}, is self-dual; shown here are two square tilings (red
Uniform_tiling
Solid with twenty equal triangular faces
two adjacent triangular faces is approximately 38.2°. The dihedral angle of a pentagonal antiprism between pentagon-to-triangle is 100.8°, and the dihedral
Regular_icosahedron
Geometric operation which truncates the edges of polyhedra
an example of Goldberg polyhedron GPIII(2,0) or {3+,3}2,0, containing triangular and hexagonal faces. Its dual is the alternate-triakis tetratetrahedron
Chamfer_(geometry)
the tiles). A tiling is considered periodic if there exist translations in two independent directions which map the tiling onto itself. Such a tiling is
List of aperiodic sets of tiles
List_of_aperiodic_sets_of_tiles
Regular geometrical object in hyperbolic space
runcitruncated order-5 hexagonal tiling honeycomb. The omnitruncated order-6 dodecahedral honeycomb is the same as the omnitruncated order-5 hexagonal tiling honeycomb
Order-6 dodecahedral honeycomb
Order-6_dodecahedral_honeycomb
Kepler-Poinsot polyhedron with 20 faces
5⁄2} and Coxeter-Dynkin diagram of . It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic
Great_icosahedron
Notation for a polyhedron's vertex figure
3.5 (60) Semiregular tilings: Snub hexagonal tiling: 3.3.3.3.6 (chiral) Elongated triangular tiling: 3.3.3.4.4 Snub square tiling: 3.3.4.3.4 (note that
Vertex_configuration
Two joined triangular cupolae
geometry, the triangular orthobicupola is the 27th Johnson solid. As the name suggests, it can be constructed by attaching two triangular cupolae along
Triangular_orthobicupola
Quasiregular space-filling tesselation
that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed
Tetrahedral-octahedral honeycomb
Tetrahedral-octahedral_honeycomb
honeycombs with triangular tiling vertex figures. The rectified order-6 tetrahedral honeycomb, t1{3,3,6} has octahedral and triangular tiling cells arranged
Order-6_tetrahedral_honeycomb
uniform tilings Uniform tilings in hyperbolic plane Archimedean tiling Square tiling Triangular tiling Hexagonal tiling Truncated square tiling Snub square
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
Board game consisting of triangular tiles
dominoes using triangular tiles published in 1965. A popular version of this game is marketed as Tri-Ominos by the Pressman Toy Corp. A triomino tile is in the
Triominoes
Semiregular tiling of the hyperbolic plane
In geometry, the truncated trioctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one hexagon, and one hexadecagon
Truncated_trioctagonal_tiling
which are similar to the paracompact infinite-order triangular tilings and , respectively: The order-4 octahedral honeycomb is a regular hyperbolic honeycomb
Order-4_octahedral_honeycomb
not only the triangular tiling, but also the coloring, and hence are a proper subgroup of the full isometry group. The corresponding tiling of the hyperbolic
Small_cubicuboctahedron
Theorem in algebraic geometry
obtain an orientation-preserving tiling polygon. A Hurwitz surface is obtained by 'closing up' a part of this infinite tiling of the hyperbolic plane to a
Hurwitz's automorphisms theorem
Hurwitz's_automorphisms_theorem
infinitely many icosahedra existing around each vertex in an infinite-order triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb
Order-4_icosahedral_honeycomb
Isogonal polyhedron with regular faces
Semiregular polyhedron Polyhedron model Pseudo-uniform polyhedron Uniform tiling Uniform tilings in hyperbolic plane Diudea (2018), p. 40. Coxeter, Longuet-Higgins
Uniform_polyhedron
Only regular space-filling tessellation of the cube
3-space. It is composed of cubes and triangular prisms in a ratio of 1:2. It is constructed from a snub square tiling extruded into prisms. It is one of
Cubic_honeycomb
Spatial tiling of convex uniform polyhedra
unique honeycombs from the square tiling, but all 6 tiling truncations are listed below for completeness, and tiling images are shown by colors corresponding
Convex_uniform_honeycomb
Isogonal polytope with regular facets
honeycomb, ↔ Alternated order-5 hexagonal tiling honeycomb, ↔ Alternated order-6 hexagonal tiling honeycomb, ↔ Alternated square tiling honeycomb, ↔ (Also
Semiregular_polytope
In geometry, the tetrakis square tiling is a tiling of the Euclidean plane. It is a square tiling with each square divided into four isosceles right triangles
Tetrakis_square_tiling
Shape subdivided into copies of itself
shape necessarily forms the prototile for a tiling of the plane, in many cases a nonperiodic tiling. A rep-tile dissection using different sizes of the original
Rep-tile
Semiregular tiling of the hyperbolic plane
geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 heptagonal tiling. There are two triangles
Triheptagonal_tiling
Prism with an 8-sided base
joining two regular octagon caps. The octagonal prism can also be seen as a tiling on a sphere: In optics, octagonal prisms are used to generate flicker-free
Octagonal_prism
Three-dimensional geometric shape
are equilateral triangles, it can be constructed from a stretched triangular tiling net with four triangles in one direction and an even number in the
Kaleidocycle
or order-4 bisected pentagonal tiling is a semiregular dual tiling of the hyperbolic plane. It is constructed by congruent right triangles with 4, 8, and
4-5_kisrhombille
Regular tiling of hyperbolic 3-space
that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed
Order-5 dodecahedral honeycomb
Order-5_dodecahedral_honeycomb
Shape with three equal sides
tiles the Euclidean plane with six triangles meeting at a vertex; the dual of this tessellation is the hexagonal tiling. Truncated hexagonal tiling,
Equilateral_triangle
ORDER 8-TRIANGULAR-TILING
ORDER 8-TRIANGULAR-TILING
Boy/Male
Arabic, Australian, Muslim
Order
Girl/Female
Indian, Telugu
Order
Boy/Male
Greek
Order.
Girl/Female
Australian, French, German, Greek, Italian
Order
Male
Swedish
Old Swedish form of Old Norse Oddr, ODDER means "point of a weapon."
Boy/Male
Australian, French, German, Greek
Order
Girl/Female
Greek
Order.
Girl/Female
Indian, Traditional
Order
Boy/Male
Hindu, Indian, Punjabi, Sikh
Order
Girl/Female
Indian, Marathi, Sindhi
Order
Boy/Male
Tamil
Pradarsh | பà¯à®°à®¤à®°à¯à®·
Appearance, Order
Pradarsh | பà¯à®°à®¤à®°à¯à®·
Girl/Female
German, Greek
Order
Boy/Male
Greek
Order.
Surname or Lastname
English
English : topographic name for someone who lived at the edge of a village or by some other boundary, Middle English border, from Old French bordure ‘edge’.
Boy/Male
English
From the triangular field.
Boy/Male
Indian
Order, Decree
Boy/Male
Greek
Order.
Girl/Female
Hindu, Indian
Collection of 8
Boy/Male
Muslim
Order, Decree
Surname or Lastname
English
English : variant of Cordier.Catalan : occupational name for a maker of cord or string, from an agent derivative of Catalan corda ‘string’, ‘cord’.
ORDER 8-TRIANGULAR-TILING
ORDER 8-TRIANGULAR-TILING
Girl/Female
Assamese, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Sindhi, Tamil, Telugu
Light; Glow; Shine; Ray; Bright; Goddess Durga
Boy/Male
Hindu, Indian, Punjabi, Sikh
New Rule
Girl/Female
Indian, Telugu
Sunset
Surname or Lastname
English
English : variant of Foulks.Possibly also an Anglicized form of French Fouquet.
Girl/Female
English
or Lora referring to the laurel tree or sweet bay tree symbolic of honor and victory.
Boy/Male
Indian
Master, Lord, Chief, Leader, Reigning, Ruling
Boy/Male
Australian, German, Portuguese
Flower
Boy/Male
Tamil
Star eyed
Female
Egyptian
, the queen of Amasis II.
Boy/Male
Tamil
Supreme mahamantra of jains
ORDER 8-TRIANGULAR-TILING
ORDER 8-TRIANGULAR-TILING
ORDER 8-TRIANGULAR-TILING
ORDER 8-TRIANGULAR-TILING
ORDER 8-TRIANGULAR-TILING
a.
Having three angles; having the form of a triangle.
n. pl.
The triangular, or maioid, crabs. See Illust. under Maioid, and Illust. of Spider crab, under Spider.
n.
To admit to holy orders; to ordain; to receive into the ranks of the ministry.
v. t.
To make a border for; to furnish with a border, as for ornament; as, to border a garment or a garden.
n.
To give an order for; to secure by an order; as, to order a carriage; to order groceries.
n.
That which prescribes a method of procedure; a rule or regulation made by competent authority; as, the rules and orders of the senate.
n.
Right arrangement; a normal, correct, or fit condition; as, the house is in order; the machinery is out of order.
n.
Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation.
n.
An ecclesiastical grade or rank, as of deacon, priest, or bishop; the office of the Christian ministry; -- often used in the plural; as, to take orders, or to take holy orders, that is, to enter some grade of the ministry.
n.
To give an order to; to command; as, to order troops to advance.
n.
A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a group or division of men in the same social or other position; also, a distinct character, kind, or sort; as, the higher or lower orders of society; talent of a high order.
n.
An assemblage of genera having certain important characters in common; as, the Carnivora and Insectivora are orders of Mammalia.
n.
To put in order; to reduce to a methodical arrangement; to arrange in a series, or with reference to an end. Hence, to regulate; to dispose; to direct; to rule.
v. i.
To give orders; to issue commands.
n.
Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet; as, to preserve order in a community or an assembly.
adv.
In a triangular manner; in the form of a triangle.
n.
A triangular chisel.
v. t.
To make triangular, or three-cornered.
a.
Oblong or elongated, and having three lateral angles; as, a triangular seed, leaf, or stem.
n.
A body of persons having some common honorary distinction or rule of obligation; esp., a body of religious persons or aggregate of convents living under a common rule; as, the Order of the Bath; the Franciscan order.