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Polygon with 12 edges
In geometry, a dodecagon, or 12-gon, is any twelve-sided polygon. A regular dodecagon is a figure with sides of the same length and internal angles of
Dodecagon
Star polygon with 12 vertices
5. A regular dodecagram has the same vertex arrangement as a regular dodecagon, which may be regarded as {12/1}. There are four regular compound dodecagram
Dodecagram
Polygonal chain whose vertices are not all coplanar
skew polygons Skew square Skew hexagon Skew octagon Skew decagon Skew dodecagon {4}#{ } {6}#{ } {8}#{ } {10}#{ } {5}#{ } {5/2}#{ } {12}#{ } s{2,4} s{2
Skew_polygon
Polygon with 24 edges
represented by Schläfli symbol {24} and can also be constructed as a truncated dodecagon, t{12}, or a twice-truncated hexagon, tt{6}, or thrice-truncated triangle
Icositetragon
a Greek-derived numerical prefix with the suffix -gon, e.g. pentagon, dodecagon. The triangle, quadrilateral and nonagon are exceptions, although the
List_of_polygons
Shape with six sides
edges, this form only has D3 symmetry. A truncated hexagon, t{6}, is a dodecagon, {12}, alternating two types (colors) of edges. An alternated hexagon
Hexagon
Greek mathematician and physicist (c. 287 – 212 BC)
Archimedes calculates the side of the dodecagon from that of the hexagon and for each subsequent doubling of the sides of the regular polygon
Archimedes
Plane figure bounded by line segments
-gon, e.g. pentagon, dodecagon. The triangle, quadrilateral and nonagon are exceptions. Beyond decagons (10-sided) and dodecagons (12-sided), mathematicians
Polygon
12-sided box
in an infinite set of prisms, formed by square sides and two regular dodecagon caps. If faces are all regular, it is a uniform polyhedron. It is used
Dodecagonal_prism
Four-dimensional analog of the dodecahedron
size (√1, the #5 chord) are also inscribed in the dodecagon. The 120-cell's irregular great dodecagon planes, its irregular great hexagon planes, its regular
120-cell
The circle of fifths drawn within the chromatic circle as a regular star dodecagon
List_of_fifth_intervals
Natural number
number. 150 degrees is the measure of the internal angle of a regular dodecagon. F 11 ( 150 ) = 150 2048 + 1 {\displaystyle F_{11}(150)=150^{2048}+1}
150_(number)
Uniform tiling of the Euclidean plane
tilings of the Euclidean plane. There are one square, one hexagon, and one dodecagon on each vertex. It has Schläfli symbol of tr{3,6}. There is only one uniform
Truncated_trihexagonal_tiling
Educational aid
One of the ways of making a dodecagon with pattern blocks
Manipulative (mathematics education)
Manipulative_(mathematics_education)
Clock diagram for displaying relationships among pitch classes
The circle of fifths in 12-tone equal temperament drawn within the chromatic circle as a star dodecagon
Chromatic_circle
sides Nonagon/Enneagon – 9 sides Decagon – 10 sides Hendecagon – 11 sides Dodecagon – 12 sides Tridecagon – 13 sides Tetradecagon – 14 sides Pentadecagon
List of two-dimensional geometric shapes
List_of_two-dimensional_geometric_shapes
Spiral with constant distance from itself
subdivided by 12 diameters into 12 arcs (of 30 degrees each; see regular dodecagon). Next, the radius of this circle is itself subdivided into 12 unit segments
Archimedean_spiral
Figurate number representing a dodecagon
mathematics, a dodecagonal number is a figurate number that represents a dodecagon. The dodecagonal number for n is given by the formula D n = 5 n 2 − 4
Dodecagonal_number
Prefix derived from numerals or other numbers
pentagon, hexagon, heptagon, octagon, enneagon, decagon, hendecagon, dodecagon, ... enneadecagon, icosagon, triacontagon, ... chiliagon, myriagon trilogy
Numeral_prefix
3rd century calculation of π by Liu Hui
then multiply this by three, to yield the area of a dodecagon; if we cut a hexagon into a dodecagon, multiply its side by its radius, then again multiply
Liu_Hui's_π_algorithm
Regular paracompact honeycomb
or t0,1{6,3,3} Coxeter diagram Cells {3,3} t{6,3} Faces triangle {3} dodecagon {12} Vertex figure triangular pyramid Coxeter groups V ¯ 3 {\displaystyle
Hexagonal_tiling_honeycomb
Subdivision of the plane into polygons that are all regular
2015-06-04. Chavey, Darrah (2014). "TILINGS BY REGULAR POLYGONS III: DODECAGON-DENSE TILINGS". Symmetry-Culture and Science. 25 (3): 193–210. S2CID 33928615
Euclidean tilings by convex regular polygons
Euclidean_tilings_by_convex_regular_polygons
Spinning roller coaster at Europa-Park
atmosphere. The largest tower, which contains the helical lift hill, is a dodecagon, 25 feet (7.6 m) across and 92 feet (28 m) high while the maximum drop
Euro-Mir
or t0,1{6,3,5} Coxeter diagram Cells {3,5} t{6,3} Faces triangle {3} dodecagon {12} Vertex figure pentagonal pyramid Coxeter groups H V ¯ 3 {\displaystyle
Order-5 hexagonal tiling honeycomb
Order-5_hexagonal_tiling_honeycomb
Polyhedron with 13 faces
dodecagonal pyramid is a dodecagonal pyramid whose base is a regular dodecagon. If the side length of the base of a regular twelve-sided pyramid is s
Tridecahedron
Classic architectural treatise
besides the circle he lists the square, the hexagon, octagon, decagon, and dodecagon, all derived from the circle, and, derived from the square, rectangles
De_re_aedificatoria
Currency of Mexico
“Ring of the Sacrifice of the Sun Stone” 1992 20¢ 19.5 mm (shortest) Dodecagon 3.04 g Aluminium bronze 92% copper 6% aluminium 2% nickel Plain State
Mexican_peso
Currency of Australia
1.5 mm 5.65 g Superb lyrebird 20c 28.65 mm 2.0 mm 11.3 g Platypus 50c Dodecagon 31.65 mm (across flats) 2.0 mm 15.55 g Plain Coat of arms 1969 $1 25.00 mm
Australian_dollar
Misunderstanding in Japanese education
regular dodecagon inscribed in the circle of diameter 1 is greater than 3.05. First, consider a circle C of diameter 1 and a regular dodecagon inscribed
Pi_is_3
Natural number
twelve cubic distance-transitive graphs. A twelve-sided polygon is a dodecagon. In its regular form, it is the largest polygon that can uniformly tile
12_(number)
Chord that connects the notes of two diatonic chords
The circle of fifths drawn within the chromatic circle as a star dodecagon.
Passing_chord
Semiregular tiling of a plane
hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each vertex. As the name implies this tiling
Truncated_hexagonal_tiling
Polygon with equally angled vertices
equiangular hendecagram, ⟨11/5⟩ Regular {11/5}, r22 Direct equiangular dodecagons, ⟨12⟩, ⟨12/2⟩, ⟨12/3⟩, ⟨12/4⟩, and ⟨12/5⟩ have 150°, 120°, 90°, 60°, and
Equiangular_polygon
Denomination of the Indian rupee
₹20 Mass 9.9555 g Diameter 27 mm Thickness 2 mm Edge 12-edged polygon (dodecagon) Composition Outer ring – Nickel silver Center – Nickel-brass Years of
Indian_20-rupee_coin
Constantinople ~ 5th c. Hexagon ~ 12.00 Skeuophylakion Constantinople ~ 5th c. Dodecagon ~ 11.90 Baptistery Nocera Superiore Campania ~ 6th c. Eight rectangular
List_of_Roman_domes
Uniform Tiling
regular polygons, containing regular triangles, squares, hexagons and dodecagons, arranged in two vertex configuration: 3.4.6.4 and 4.6.12. It has hexagonal
3-4-6-12_tiling
Angle the planets make to each other in the horoscope
2/5 1/8 3/8 1/10 3/10 Regular Polygon Monogon Digon Triangle Square Hexagon Dodecagon Dodecagram Pentagon Pentagram Octagon Octagram Decagon Decagram
Astrological_aspect
1.5 mm 5.65 g Superb lyrebird 20c 28.65 mm 2.0 mm 11.3 g Platypus 50c Dodecagon 31.65 mm (across flats) 2.0 mm 15.55 g Plain Queen Elizabeth II (1969–2024)
Coins of the Australian dollar
Coins_of_the_Australian_dollar
Schläfli symbol 2t{3,6,3} Coxeter diagram Cells t{6,3} Faces triangle {3} dodecagon {12} Vertex figure tetragonal disphenoid Coxeter group 2 × Y ¯ 3 {\displaystyle
Triangular_tiling_honeycomb
Equiangular and equilateral polygon
– {8/2}, {8/4} Enneagon – {9/3} Decagons – {10/2}, {10/4}, and {10/5} Dodecagons – {12/2}, {12/3}, {12/4}, and {12/6} Depending on the precise derivation
Regular_polygon
Mixed-use in Abu Dhabi, United Arab Emirates
firm in Connecticut, and drew "inspiration from a desert flower and the dodecagon." Argentine architect Cesar Pelli was responsible for designing the skyscraper
The_Landmark_(Abu_Dhabi)
Hypercube Pentagon Hexagon Heptagon Octagon Enneagon Decagon Hendecagon Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon
List_of_mathematical_shapes
2015 studio album by the Gazette
thirteenth sub-projects represented graphically by a logo, a ring-shape dodecagon. The circle added to the twelve-sided polygon symbolizes the thirteeth
Dogma_(The_Gazette_album)
Currency of Jamaica
Coins no longer in circulation: 1 cent (21.08 mm; 1.22 g; aluminium; dodecagon) Reverse: Ackee (demonetised on 15 February 2018) 5 cents (19.4 mm; 2
Jamaican_dollar
Extending the elements of a polytope to form a new figure
Construction of a stellated dodecagon: a regular polygon with Schläfli symbol {12/5}
Stellation
Town in Central Bohemian Region, Czech Republic
been used by the Museum of Silver. A notable technical monument is a dodecagon-shaped stone fountain, situated on today's Rejsek Square. It was probably
Kutná_Hora
Mathematical model of the physical space
hexagons x 4 Petrie polygons 1 pentagon x 2 1 octagon x 3 2 octagons x 4 2 dodecagons x 4 4 30-gons x 6 20 30-gons x 4 Long radius 1 {\displaystyle 1} 1 {\displaystyle
Euclidean_geometry
Coins by shape
including squares, diamonds, hexagons, heptagons, octagons, decagons, and dodecagons. They have also been struck with scalloped (wavy) edges, and with holes
Coinage_shapes
American painter (1937–2025)
paintings of the 1960s in the catalogue accompanying an exhibition of his Dodecagon Series in 1989 in Los Angeles. Among other observations she wrote: Davis
Ronald_Davis
Architectural style
most of these representations are circular, other forms are present: dodecagon, octagonal, and square. Many caves in the 4th-7th centuries were probably
Chinese_architecture
Natural number
always moves closer to its goal. The sides and diagonals of a regular dodecagon form 188 equilateral triangles. The number 188 figures prominently in
188_(number)
Non-periodic tiling of the plane
tiling rules defined by the fins. The rules of tiling can fill a regular dodecagon. Pattern blocks contain the 3 tiles and 3 more. The dodecagonal rhomb
Socolar_tiling
Drishti or glance of planets to other signs
and Saturn's special aspects which reflects a pattern of 6-orthoplex. A Dodecagon is used here, to represent 12 zodiac signs. Special aspects of Mars, Saturn
Astrological aspect (Hindu astrology)
Astrological_aspect_(Hindu_astrology)
was also cheaply made, and the 5000 lei coin was not circular (it was a dodecagon). This made it awkward to handle and difficult to use in slot machines
Coins_of_the_Romanian_leu
Mathematical manipulatives
Example constructions Regular dodecagons Isotoxal octagon
Pattern_Blocks
Mosque in Istanbul, Turkey
created by Hamid Aytaç (1891-1982). In the center of the courtyard, a dodecagon-shaped sadirvan spends water for ritual washing wudu. The courtyard houses
Şişli_Mosque
or t0,1{6,3,4} Coxeter diagram ↔ Cells {3,4} t{6,3} Faces triangle {3} dodecagon {12} Vertex figure square pyramid Coxeter groups B V ¯ 3 {\displaystyle
Order-4 hexagonal tiling honeycomb
Order-4_hexagonal_tiling_honeycomb
Former currency of South Vietnam
gia Việt Nam" (National Bank of Vietnam) 10 đồng 26 mm Rice plant 1968, 70 20 đồng 30 mm (longest) Dodecagon Farmer, "Ngân Hàng Quốc gia Việt Nam" 1968
South_Vietnamese_đồng
All Latin and Greek roots beginning with G
document, indoctrinate, indoctrination dodec- twelve Greek δώδεκα (dṓdeka) dodecagon, dodecahedron, Dodecanese, dodecaphony, dodecastyle, dodecasyllabic, hemidodecahedron
List of Greek and Latin roots in English/A–G
List_of_Greek_and_Latin_roots_in_English/A–G
while the 5 and 10 centavo and 5 and 50 peso coins are in the shape of a dodecagon. In 1975, 1 centavos were made of aluminium, the 5 and 10 of aluminium
Coins_of_the_Chilean_peso
Semiregular tiling of the plane
octagons which alternate long and short edge lengths, derived from a regular dodecagon, will produce a snub tiling with perfect equilateral triangle faces. Example:
Snub_square_tiling
Notation for polytopes and tessellations
{p} [p] Hexagon Truncated t{p} = {2p} [[p]] = [2p] = Truncated hexagon (Dodecagon) = Altered and Holosnubbed a{2p} = β{p} [2p] = Altered hexagon (Hexagram)
Schläfli_symbol
Smooth closed surface with g holes
Triple torus It can be coloured with up to 9 mutually adjacent regions Dodecagon with opposite edges identified Tetradecagon with opposite edges identified
Genus_g_surface
Mosque in Istanbul, Turkey
monotonous presentation. Inset in the wall is a mihrab shaped like a half-dodecagon. Between the two mihrab frames rests a panel featuring calligraphy; above
Rüstem_Pasha_Mosque
Tower in Iran
The bottom 5.2 metres (17 ft) of the 35-metre-tall (115 ft) tower is a dodecagon, above that there are a series of 36 semicircular columns which lead to
Radakan Tower (Chenaran County)
Radakan_Tower_(Chenaran_County)
Treatise by Archimedes
construction suggested by Archimedes' Stomachion in the setting of the regular dodecagon. In this case, the task is to give rational approximations to the tangent
Measurement_of_a_Circle
Pattern in hyperbolic geometry
tr{6,6} is called a truncated hexahexagonal tiling with two colors of dodecagons. There are two uniform constructions of this tiling, first from [6,4]
Truncated order-4 hexagonal tiling
Truncated_order-4_hexagonal_tiling
Tiling puzzle
puzzle's scope was to fill a large equiangular (but not equilateral) dodecagon board with 209 puzzle pieces. The board is equipped with a triangular
Eternity_puzzle
United States historic place
The Couser Barn is a dodecagon-shaped round barn in Cedar County, Nebraska. It was built during 1912-13 for William Couser, a farmer who came to Nebraska
Couser_Barn
Semi-regular arrangement of squares, decagons, and dodecagons
tiling of the hyperbolic plane. There are one square, one decagon, and one dodecagon on each vertex. It has Schläfli symbol of t0,1,2{6,5}. Its name is somewhat
Truncated pentahexagonal tiling
Truncated_pentahexagonal_tiling
Four-dimensional analogues of the regular polyhedra in three dimensions
hexagons x 4 Petrie polygons 1 pentagon x 2 1 octagon x 3 2 octagons x 4 2 dodecagons x 4 4 30-gons x 6 20 30-gons x 4 Long radius 1 {\displaystyle 1} 1 {\displaystyle
Regular_4-polytope
Medium-lift expendable rocket by Northrop Grumman
composite structures for the vehicle, including the combined fairing adapter, dodecagon, motor cone, and interstage. On January 14, 2016, NASA awarded three cargo
Antares_(rocket)
Street market in Belém, Pará, Brazil
Market, or Mercado Bologna. It was inaugurated in 1901, in the form of a dodecagon measuring 1,197 m2 (12,884 sq. feet), with a metallic structure in zinc
Ver-o-peso
Swiss watchmaker
resemblance to the current Corum Admiral's Cup watches with their twelve-sided (Dodecagon) case design and brightly colored nautical pennants decorating the face
Corum_(watchmakers)
Semiregular tiling of the hyperbolic plane
tiling of the hyperbolic plane. There are one square, one octagon, and one dodecagon on each vertex. It has Schläfli symbol of tr{6,4}. From a Wythoff construction
Truncated tetrahexagonal tiling
Truncated_tetrahexagonal_tiling
German designer and industrialist
AG in 1897. In 1916, Rosenthal introduced the eight- and twelve-sided dodecagon porcelain dinnerware set "Maria," which Rosenthal named after his second
Philipp_Rosenthal
Historic house in Indiana, United States
the house to become a private residence. The building is a three-story dodecagon, 42 feet in diameter. It was built using aluminum fascia with vermiculite
House_of_Tomorrow_(Indiana)
Aerial lift in Germany
time. For the cabins, a completely new design was developed, which, as a dodecagon, was not only visually pleasing but also more aerodynamic than the previously
Predigtstuhl_Cable_Car
Geometric model of the planar projection of the physical universe
symbol {3} {4} {5} {6} {7} {8} Image Name Nonagon Decagon Hendecagon Dodecagon Tridecagon Tetradecagon Schläfli {9} {10} {11} {12} {13} {14} Image Name
Euclidean_plane
Multi-lobed plane curve
is called a dodecafolium because it has 2k = 12 petals and will form a dodecagon. In Cartesian Coordinates the cosine and sine specifications are ( x 2
Rose_(mathematics)
Four-dimensional geometric object with flat sides
hexagons x 4 Petrie polygons 1 pentagon x 2 1 octagon x 3 2 octagons x 4 2 dodecagons x 4 4 30-gons x 6 20 30-gons x 4 Long radius 1 {\displaystyle 1} 1 {\displaystyle
4-polytope
the dihedral group of order 24, the group of symmetries of a regular dodecagon, including both rotations and reflections. The characteristic polynomial
Robertson_graph
Polytope
Hence, the 2 {\displaystyle 2} -dimensional permutoassociahedron is the dodecagon with vertices a ( b c ) {\displaystyle a(bc)} , a ( c b ) {\displaystyle
Permutoassociahedron
Musical artist
(November 21, 2001) "For Beautiful Human Life" (September 26, 2003) "Dodecagon" (October 25, 2006) "7 -Seven-" (March 19, 2008) "Buoyancy" (September
Kirinji_(band)
Roman Catholic church in Palermo, Italy
remnants of the former decoration. The building plan is an elongated dodecagon, circumscribed by an ellipse whose major axis is from the middle of the
Santissimo_Salvatore,_Palermo
or t0,1{6,3,6} Coxeter diagram ↔ Cells {3,6} t{6,3} Faces triangle {3} dodecagon {12} Vertex figure hexagonal pyramid Coxeter groups Z ¯ 3 {\displaystyle
Order-6 hexagonal tiling honeycomb
Order-6_hexagonal_tiling_honeycomb
Uniform 6-polytope
720 Vertices 72 Vertex figure Birectified 5-simplex: 022 Petrie polygon Dodecagon Coxeter group E6, [[3,32,2]], order 103680 Properties convex, isotopic
1_22_polytope
Uniform tiling of the plane with regular polygons
plane by regular polygons, containing regular triangles, squares, and dodecagons, arranged in two vertex configuration: 3.4.3.12 and 3.12.12. The 3.12
3-4-3-12_tiling
Grade I listed Palladian building in south west England
for Prior Park was to construct five buildings along three sides of a dodecagon matching the sweep of the head of the valley, with the main building flanked
Prior_Park
Island in Ontario, Canada
resorts in Muskoka at the time. Wilson employed classical, Mediterranean, dodecagon, craftsman, Tudor and Victorian design elements, placed the buildings
Bigwin_Island
Pulpit with sculpture by Nicola Pisano
(1246) octagonal, and internally "the conical inner dome stands on a dodecagon". Apart from the "still, mathematical dance of architectural form", these
Pulpit_in_the_Pisa_Baptistery
2001 video game
five per battle. These "Points Of Contention" (POCs), represented by dodecagon, are captured by occupying them for a certain period of time (ranging
Shattered_Galaxy
Regular object in four dimensional geometry
polytopes 24-cell description and diagrams Archived 2007-07-15 at the Wayback Machine Petrie dodecagons in the 24-cell: mathematics and animation software
24-cell
Church in Ohio, United States
with red and green tweed. The building was relatively unique with its dodecagon (twelve-sided) shape, its diminishing folded plate roof with flying gables
Columbus All Nations SDA Church
Columbus_All_Nations_SDA_Church
Regular tiling of hyperbolic 3-space
3} Coxeter diagram Cells tr{3,5} {}×{6} Faces square {4} hexagon {6} dodecagon {10} Vertex figure phyllic disphenoid Coxeter group 2 × J ¯ 3 {\displaystyle
Icosahedral_honeycomb
Semi regularly Tiling
semiregular tiling of the hyperbolic plane. There are one square, one dodecagon, and one hexakaidecagon on each vertex. It has Schläfli symbol of tr{8
Truncated hexaoctagonal tiling
Truncated_hexaoctagonal_tiling
Bay in Belém, Pará, Brazil
public tender in 1897, and has an area of 1,197 m2 in the shape of a dodecagon. The estimated weight of the structure is 1,133,389 tons and the metal
Guajará_Bay
Buddhist pagoda and temple in Yinchuan, China
11 in) statue is made of jade. The eleven story, 53.9-metre (177 ft) tall, dodecagon-based, Haibao Pagoda (海宝塔) is made of brick and stone, also known as the
Haibao_Pagoda_Temple
Aspect of architectural history
Salvatore in Palermo was built from 1682 with an elliptical dome over a dodecagon plan. It had a long span of 24 meters and was built with 29 rows of freestone
17th-century_Western_domes
Geometric representation of material yield
isotoxal dodecagons of the unified yield criterion of Yu with χ 6 = { 1 , − 1 } {\displaystyle \chi _{6}=\{1,-1\}} . The isogonal dodecagons of the multiplicative
Yield_surface
DODECAGON
DODECAGON
DODECAGON
DODECAGON
Boy/Male
Indian
Writer
Boy/Male
Hindu
Young Krishna
Boy/Male
Indian, Punjabi, Sikh
In the Shelter of Guru
Female
Greek
(Ολυμπιάς) Ancient Greek name of the mother of Alexander the Great. It is a feminine form of Greek Olympos ("home of the gods"), OLYMPIAS means "of Olympus."Â
Girl/Female
German, Greek
Defender of Mankind; Noble; Kind; Female Version of Alexander
Boy/Male
Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Tamil, Telugu
Illustrious
Girl/Female
Hindu, Indian
Goodness
Boy/Male
Tamil
Vireshvar | வீரேஷà¯à®µà®°
Lord Shiva
Boy/Male
Hindu, Indian
Worshipper of God
Girl/Female
Indian
Name of a female singer of the past
DODECAGON
DODECAGON
DODECAGON
DODECAGON
DODECAGON
n.
A figure or polygon bounded by twelve sides and containing twelve angles.