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Uniform tiling of the Euclidean plane
In geometry, the truncated trihexagonal tiling is one of eight semiregular tilings of the Euclidean plane. There are one square, one hexagon, and one
Truncated_trihexagonal_tiling
Tiling of a plane by regular hexagons and equilateral triangles
In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and
Trihexagonal_tiling
Semiregular tiling of the Euclidean plane
In geometry, the snub hexagonal tiling (or snub trihexagonal tiling) is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon
Snub_trihexagonal_tiling
Semiregular tiling of the Euclidean plane
dissected into six triangles. The rhombitrihexagonal tiling is also related to the truncated trihexagonal tiling by replacing some of the hexagons and surrounding
Rhombitrihexagonal_tiling
Truncated trihexagonal tiling – 1 coloring, wythoffian Snub hexagonal tiling – 1 coloring, alternated wythoffian Elongated triangular tiling – 1
List of Euclidean uniform tilings
List_of_Euclidean_uniform_tilings
trihexagonal tiling extruded into prisms. It is one of 28 convex uniform honeycombs. The truncated hexagonal prismatic honeycomb or tomo-trihexagonal
Triangular prismatic honeycomb
Triangular_prismatic_honeycomb
3]. The cantitruncated triangular tiling honeycomb, , has truncated trihexagonal tiling, truncated hexagonal tiling, and triangular prism cells, with
Triangular_tiling_honeycomb
Regular paracompact honeycomb
tetrahedron, truncated trihexagonal tiling, and triangular prism cells, with a mirrored sphenoid vertex figure. The runcinated hexagonal tiling honeycomb
Hexagonal_tiling_honeycomb
Subdivision of the plane into polygons that are all regular
{\displaystyle 2+{\sqrt {3}}} . This can similarly be done with the truncated trihexagonal tiling as a basis, with corresponding dilation of 3 + 3 {\displaystyle
Euclidean tilings by convex regular polygons
Euclidean_tilings_by_convex_regular_polygons
order-6 hexagonal tiling honeycomb, h2,3{6,3,6}, , or , contains truncated trihexagonal tiling, truncated hexagonal tiling, trihexagonal tiling, and triangular
Order-6 hexagonal tiling honeycomb
Order-6_hexagonal_tiling_honeycomb
order-4 hexagonal tiling honeycomb, q{6,3,4}, or , is composed of triangular tiling, trihexagonal tiling, tetrahedron, and truncated tetrahedron cells
Order-4 hexagonal tiling honeycomb
Order-4_hexagonal_tiling_honeycomb
Method of describing higher-order polyhedra
Trihexagonal tiling aH = aΔ Truncated hexagonal tiling tH Rhombitrihexagonal tiling eH = eΔ Truncated trihexagonal tiling bH = bΔ Snub trihexagonal tiling
Conway_polyhedron_notation
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
Semiregular tiling of a plane
In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each
Truncated_hexagonal_tiling
Natural number
can uniformly tile the plane alongside other regular polygons, as with the truncated hexagonal tiling or the truncated trihexagonal tiling. A regular dodecahedron
12_(number)
icosahedron, truncated trihexagonal tiling, and pentagonal prism facets, with a mirrored sphenoid vertex figure. The runcinated order-5 hexagonal tiling honeycomb
Order-5 hexagonal tiling honeycomb
Order-5_hexagonal_tiling_honeycomb
Polygon with 18 edges
tiling mixes in nonagons and octagonal gaps. The first tiling is related to a truncated hexagonal tiling, and the second the truncated trihexagonal tiling
Octadecagon
Field of geometry closely arranging circles on a plane
3-uniform packings. The truncated trihexagonal tiling with both types of gaps can be filled as a 4-uniform packing. The snub hexagonal tiling has two mirror-image
Circle_packing
composed of octahedron, truncated tetrahedron, and trihexagonal tiling facets, with a wedge vertex figure. The runcic hexagonal tiling honeycomb, h3{6,3,3}
Alternated hexagonal tiling honeycomb
Alternated_hexagonal_tiling_honeycomb
Snub square tiling Trihexagonal tiling Truncated hexagonal tiling Rhombitrihexagonal tiling Truncated trihexagonal tiling Snub hexagonal tiling Elongated
List_of_mathematical_shapes
Notation for a polyhedron's vertex figure
Semiregular tilings: Truncated hexagonal tiling: 3.12.12 Truncated trihexagonal tiling: 4.6.12 Truncated square tiling: 4.8.8 Quadruples Platonic solids: Octahedron:
Vertex_configuration
Snub square tiling Trihexagonal tiling Truncated hexagonal tiling Rhombitrihexagonal tiling Truncated trihexagonal tiling Snub hexagonal tiling Elongated
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
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
Poincaré disk model The truncated order-6 tetrahedral honeycomb, t0,1{3,3,6} has truncated tetrahedron and triangular tiling cells arranged in a hexagonal
Order-6_tetrahedral_honeycomb
Uniform Tiling
tiling has right triangle and kite faces, defined by face configurations: V3.4.6.4 and V4.6.12, and can be seen combining the deltoidal trihexagonal tiling
3-4-6-12_tiling
Polyhedron with two kinds of faces
parent, truncating the vertices fully, until each original edge is reduced to its midpoint. This sequence continues as the trihexagonal tiling, vertex
Quasiregular_polyhedron
octahedron-hexagonal tiling honeycomb is a paracompact uniform honeycomb, constructed from octahedron, hexagonal tiling, and trihexagonal tiling cells, in a rhombicuboctahedron
Octahedral-hexagonal tiling honeycomb
Octahedral-hexagonal_tiling_honeycomb
Convex polygon which can tile the plane by itself
Laves tilings are unique except for the square tiling (1 degree of freedom), barn pentagonal tiling (1 degree of freedom), and hexagonal tiling (2 degrees
Planigon
1619 book by Johannes Kepler
terms of basic triangles. The book features illustrations of solids and tiling patterns, some of which are related to the golden ratio. While medieval
Harmonice_Mundi
colored line segments. In 2-dimensions, the honeycomb represents the trihexagonal tiling, with Coxeter graph . In 3-dimensions it represents the quarter cubic
Cyclotruncated simplicial honeycomb
Cyclotruncated_simplicial_honeycomb
Operation in Euclidean geometry
square tiling {4,4} will turn into another square tiling {4,4} under a rectification operation. Rectification is the final point of a truncation process
Rectification_(geometry)
Shape with three equal sides
hexagonal tiling, rhombitrihexagonal tiling, trihexagonal tiling, snub square tiling, and snub hexagonal tiling are all semi-regular tessellations constructed
Equilateral_triangle
central inversion. In each trihexagonal tiling, half of the triangles belong to tetrahedra, and half belong to truncated tetrahedra. These slab layers
Quarter_cubic_honeycomb
Regular geometrical object in hyperbolic space
pentaapeirogonal tiling, r{5,∞} with pentagon and apeirogonal faces. The truncated order-6 dodecahedral honeycomb, t0,1{5,3,6} has truncated dodecahedron
Order-6 dodecahedral honeycomb
Order-6_dodecahedral_honeycomb
Polytope or tiling with one type of edge
In geometry, a polytope (for example, a polygon or a polyhedron) or a tiling is isotoxal (from Greek τόξον 'arc') or edge-transitive if its symmetries
Isotoxal_figure
Mathematics book
topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter
Tilings_and_patterns
Classification of a two-dimensional repetitive pattern
Triangular tiling (ignoring colors: p6m) Hexagonal tiling (ignoring colors: p6m) Truncated hexagonal tiling (ignoring colors: p6m) Persian glazed tile (ignoring
Wallpaper_group
Tiling of hyperbolic 3-space by uniform polyhedra
paracompact for p=6 (with a snub trihexagonal tiling as the vertex figure), and hypercompact for p>6. Again, the truncated and rectified versions of these
Uniform honeycombs in hyperbolic space
Uniform_honeycombs_in_hyperbolic_space
Isogonal honeycomb of uniform polytope facets
face at each edge radiating from the vertex. Uniform tiling List of uniform tilings Uniform tilings in hyperbolic plane Honeycomb (geometry) Wythoff construction
Uniform_honeycomb
3D shape made of polyhedra sharing a common center
dual triangular tiling, which shares its edges with the deltoidal trihexagonal tiling. The Euclidean compounds of two hypercubic honeycombs are both regular
Polytope_compound
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
Subdivision of the plane by lines
simplicial rather than simple. Its dual is the truncated square tiling. Similarly, the triangular tiling is an infinite simplicial line arrangement with
Arrangement_of_lines
Threshold of percolation theory models
the Percolation Thresholds of a Three-Dimensional (Icosahedral) Penrose Tiling by the Cubic Approximant Method". Crystallography Reports. 50 (6): 938–948
Percolation_threshold
TRUNCATED TRIHEXAGONAL-TILING
TRUNCATED TRIHEXAGONAL-TILING
Surname or Lastname
English and French
English and French : topographic name from Middle English, Old French court(e), curt ‘court’ (Latin cohors, genitive cohortis, ‘yard’, ‘enclosure’). This word was used primarily with reference to the residence of the lord of a manor, and the surname is usually an occupational name for someone employed at a manorial court.English : nickname from Old French, Middle English curt ‘short’, ‘small’ (Latin curtus ‘curtailed’, ‘truncated’, ‘cut short’, ‘broken off’).Irish : reduced form of McCourt.
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : from the Middle English personal name Myat, formed from My, a truncated version of Mihel (an Old French form of Michael) + the diminutive suffix -at (from Old French -et, crossed with the originally pejorative Old French -ard).
Surname or Lastname
English
English : variant of Ayliff(e), which is from a Middle English personal name. In most cases, this is Old Norse EilÃfr ‘eternal life’, but it could also have absorbed the female name Ayleve (Old English Æ{dh}elgifu ‘noble gift’). It could also have absorbed a truncated form of Irish McAuliffe.
Surname or Lastname
English and Irish
English and Irish : unexplained; most probably a habitational name from a lost or unidentified place somewhere in South Wales or southern England. This name was established in County Meath, Ireland, soon after the Anglo-Norman invasion of the 12th century.Dutch : unexplained.Probably a respelling of German Tiling, a patronymic form of Thiel.
Surname or Lastname
English (West Midlands)
English (West Midlands) : habitational name from any of the places called Harthill, named with Old English heorot ‘hart’ + hyll ‘hill’. There are several places of this name, for example in Cheshire, Derbyshire, and South Yorkshire, but apparently none in the West Midlands. It is also possible that the surname represents a truncated derivative of Hartlebury in Worcestershire. This place name derives from the Old English personal name Heortla + Old English burh ‘fort’.German : Americanized spelling of Hartel or Härtel.
TRUNCATED TRIHEXAGONAL-TILING
TRUNCATED TRIHEXAGONAL-TILING
Surname or Lastname
English
English : habitational name from a place in East Yorkshire named Walkington, from an unattested Old English personal name Walca + -ing- denoting association with + tūn.
Girl/Female
Tamil
Subhasri | ஸà¯à®ªà®¾à®¸à®°à¯€Â
Sting, Charm
Boy/Male
German
Famous Ruler
Biblical
juvenile, boyish, juvenile
Boy/Male
Tamil
Small part of the ocean
Boy/Male
Tamil
Murugavel | à®®à¯à®°à¯à®•வேலÂ
Lord of Murugan
Boy/Male
Hindu
One of the kauravas
Boy/Male
Australian, Dutch, Greek, Hebrew, Latin
Musician; Melodious
Girl/Female
English
or Agnes.
Female
French
French form of Latin Apollonia, APOLLINE means "of Apollo."
TRUNCATED TRIHEXAGONAL-TILING
TRUNCATED TRIHEXAGONAL-TILING
TRUNCATED TRIHEXAGONAL-TILING
TRUNCATED TRIHEXAGONAL-TILING
TRUNCATED TRIHEXAGONAL-TILING
a.
Cut off; cut short; maimed.
n.
A large truncated cone of refined sugar.
a.
Replaced, or cut off, by a plane, especially when equally inclined to the adjoining faces; as, a truncated edge.
v. t.
To cut off; to lop; to maim.
a.
Having twelve similar faces; as, a dihexagonal prism.
a.
Covered with a tunic; covered or coated with layers; as, a tunicated bulb.
a.
Consisting of two hexagonal parts united; thus, a dihexagonal pyramid is composed of two hexagonal pyramids placed base to base.
a.
Growing broader and broader, as a leaf; truncate.
a.
Reduced to a stub; short and thick, like something truncated; blunt; obtuse.
a.
Having the edges truncated.
n.
The state of being truncated.
n.
A low tower, having a truncated pyramidal form, and flanking an ancient Egyptian gateway.
a.
Having a tunic, or mantle; of or pertaining to the Tunicata.
imp. & p. p.
of Truncate
a.
Alt. of Tunicated
v. t.
To lop off; to curtail; to truncate; to maim.
a.
Appearing as if cut off at the tip; as, a truncate leaf or feather.
p. pr. & vb. n.
of Truncate
a.
Lacking the apex; -- said of certain spiral shells in which the apex naturally drops off.
a.
Having each joint buried in the preceding funnel-shaped one, as in certain antennae of insects.