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Approach to knot theory by John Conway
In mathematics, a tangle is generally one of two related concepts: In John Conway's definition, an n-tangle is a proper embedding of the disjoint union
Tangle_(mathematics)
Topics referred to by the same term
distributed ledger Tangle (mathematics), either of two related concepts Tangle, a multipartite entanglement measure Neurofibrillary tangle, a primary biomarker
Tangle
Notation used to describe knots based on operations on tangles
certain operations on tangles to construct it. In Conway notation, the tangles are generally algebraic 2-tangles. This means their tangle diagrams consist
Conway_notation_(knot_theory)
link Tangle (mathematics) Algebraic tangle Tangle diagram Tangle product Tangle rotation Tangle sum Inverse of a tangle Rational tangle Tangle denominator
List_of_knot_theory_topics
Link formed from a finite number of twisted sections
In the mathematical theory of knots, a pretzel link is a special kind of link. It consists of a finite number of tangles made of two intertwined circular
Pretzel_link
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned
Mathematics_and_art
Collection of knots that do not intersect, but may be linked
trivial tangle takes up vertical space, but up to isotopy they do. The tensor structure is given by juxtaposition of tangles – putting one tangle to the
Link_(knot_theory)
Species of alga
extraction of iodine. Historically, the dried stalks of L. digitata, called sea-tangle tents were used in traditional medicine as an abortifacient and for mechanically
Laminaria_digitata
Cycles going through a hierarchy
elaborated in Hofstadter's book I Am a Strange Loop, published in 2007. A tangled hierarchy is a hierarchical system in which a strange loop appears. A strange
Strange_loop
A Tangled Tale is a collection of 10 brief humorous stories by Lewis Carroll (Charles Lutwidge Dodgson), published serially between April 1880 and March
A_Tangled_Tale
Relationship between two sets, defined by a set of ordered pairs
In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. As an example, "is less than" is
Relation_(mathematics)
Mathematical invariant of a knot or link
2017-07-12. Turaev, Vladimir G. (1990). "Jones-type invariants of tangles". Journal of Mathematical Sciences. 52: 2806–2807. doi:10.1007/bf01099242. S2CID 121865582
Jones_polynomial
German polymath and scholar (1777–1855)
geodesist, and physicist, who contributed to many fields in mathematics and science. His mathematical contributions spanned the branches of number theory, algebra
Carl_Friedrich_Gauss
Classification of topological quantum field theories
In mathematics, the cobordism hypothesis, due to John C. Baez and James Dolan, concerns the classification of extended topological quantum field theories
Cobordism_hypothesis
Study of mathematical knots
the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs
Knot_theory
University department of mathematics
The Mathematical Institute is the academic department for mathematics at the Mathematical, Physical and Life Sciences Division at the University of Oxford
Mathematical Institute, University of Oxford
Mathematical_Institute,_University_of_Oxford
Topics referred to by the same term
(character), a Marvel Comics supervillain The Tangled Skein, a novel by Baroness Orczy With a Tangled Skein, a novel by Piers Anthony Skein (graph theory)
Skein
Hungarian and American mathematician and physicist (1903–1957)
many fields, including mathematics, physics, economics, computing, and statistics. He was a pioneer in building the mathematical framework of quantum physics
John_von_Neumann
Operation combining two oriented knots
In mathematics, a knot is an embedding of the circle (S1) into three-dimensional Euclidean space, R3 (also known as E3). Often two knots are considered
Knot_(mathematics)
In dynamical systems, a branch of mathematics, a homoclinic connection is a structure formed by the stable manifold and unstable manifold of a fixed point
Homoclinic_connection
Kind of operation in knot theory
part of the knot inside the disc is a tangle. There are two reflections that switch pairs of endpoints of the tangle. There is also a rotation that results
Mutation_(knot_theory)
Simple mechanical puzzles using topology
Mathematics Magazine. 79 (5): 368–375. doi:10.1080/0025570X.2006.11953435. JSTOR 27642974. S2CID 124273942. Quest., Danley (2010-03-01). "Tanglements"
Disentanglement_puzzle
Dutch game designer (1947–2026)
(2020) DropZone (2020) WedgeLock (2020) Crossbars (2021) Zumo (2022) China Tangle (2022) China Octangle (2023) Greylox (2024) The marshall combines a chess
Christian_Freeling
American actor (1939–2014)
from Navarone (1978), Cannonball Run II (1984), Pale Rider (1985) and Tangled (2010). On television, he portrayed the giant alien in the highly regarded
Richard_Kiel
English mathematician (1937–2020)
theory. He also made contributions to many branches of recreational mathematics, most notably the invention of the cellular automaton called the Game
John_Horton_Conway
Special subset of a partially ordered set
In mathematics, a filter or order filter is a special subset of a partially ordered set (poset), describing "large" or "eventual" elements. Filters appear
Filter_(mathematics)
1965 film by Chuck Jones
The Dot and the Line: A Romance in Lower Mathematics is a 1965 animated short film directed by Chuck Jones and co-directed by Maurice Noble, based on
The_Dot_and_the_Line
History of maths
This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as: Categories of abstract algebraic structures
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
French polymath (1623–1662)
by his father Étienne Pascal, a tax collector in Rouen. His earliest mathematical work was on projective geometry; he wrote a significant treatise on the
Blaise_Pascal
American computer scientist and mathematician (born 1938)
the WEB system. The same WEB source is used to weave a TeX file, and to tangle a Pascal source file. These in their turn produce a readable description
Donald_Knuth
Topics referred to by the same term
systems field of mathematics to investigate the qualitative behaviour of one-dimensional iterated functions Cobweb spider or tangle web spider, any spider
Cobweb_(disambiguation)
Mathematical game
revolutions. The plane of rotation is perpendicular to the strings when not tangled. The strings now overlap each other. Then the first player tries to untangle
Tangloids
Subclass of links in knot theory
In the mathematical field of knot theory, an algebraic link is a link that can be decomposed by Conway spheres into 2-tangles. Algebraic links are also
Algebraic_link
Series 8 in the U.S. Shown in one piece on 14 August 2016. 33 "What Lies Tangled" David Drury Nick Hicks-Beach 3 November 2015 (2015-11-03) 10 November 2015 (2015-11-10)
List_of_Lewis_episodes
1961 (1961-10-05) 202 The good neighbor policy gets a real workout when the Douglas' tangle individually with members of the new family across the street. First Chip
List of My Three Sons episodes
List_of_My_Three_Sons_episodes
Ways to represent 3D rotations
various formulations to express a rotation in three dimensions as a mathematical transformation. In physics, this concept is applied to classical mechanics
Rotation formulations in three dimensions
Rotation_formulations_in_three_dimensions
British author and scholar (1832–1898)
Alice's nonsensical wonderland logic reflects his published work on mathematical logic. Carroll came from a family of high-church Anglicans and pursued
Lewis_Carroll
Three linked but pairwise separated rings
In mathematics, the Borromean rings are three simple closed curves in three-dimensional space that are topologically linked and cannot be separated from
Borromean_rings
Conway who defined them as arising from numerator closures of rational tangles. This definition can be used to give a bijection between the set of 2-bridge
2-bridge_knot
1990 novel by Thomas Pynchon
Mendelson's review in The New Republic was mostly favorable; he found the plot tangled and tedious but praised Pynchon's "intellectual and imaginative energy"
Vineland
Family of quantum invariants
certain decorated framed tangle diagrams, where the initial and terminal objects are represented by the boundary components of the tangle. In this calculus,
Reshetikhin–Turaev_invariant
Colombian-Canadian mathematician
mathematics at George Brown College. He is the author of several math papers in which he introduced some mathematics concepts and extended to tangles
Hernando_Burgos-Soto
Topics referred to by the same term
device that allows the handlebars and fork to revolve indefinitely without tangling the rear brake cable - see Detangler Rotor (distributor), a component of
Rotor
McNamara as Claire, Dennis Hemphill Jr. as Mr. Radler 28 7 "It Takes Two to Tangle" Rob Schiller Jim O'Doherty June 11, 2012 (2012-06-11) 211 0.46 Jack and
List_of_Kickin'_It_episodes
Multi-year debt crisis in multiple EU countries, 2009–2010
Paper No. 25" (PDF). LSE. Retrieved 28 January 2017. Henning, C.R. (2017). Tangled Governance: International Regime Complexity, the Troika, and the Euro Crisis
Euro_area_crisis
First sine table ever constructed
and what is original with Indian scientists. ... The truth is probably a tangled mixture of both." The values encoded in Āryabhaṭa's Sanskrit verse can
Āryabhaṭa's_sine_table
American philosopher and logician (1908–2000)
and developed his own system of mathematics and set theory, known as New Foundations. In the philosophy of mathematics, he and his Harvard colleague Hilary
Willard_Van_Orman_Quine
as the two-fold cost of sexual reproduction. It was first described mathematically by John Maynard Smith.[page needed] In his manuscript, Smith further
Evolution of sexual reproduction
Evolution_of_sexual_reproduction
Practice and study of secure communication techniques
Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital
Cryptography
properties of dynamical systems. such as relations between kinetic energy and tangles of vortex filaments in a turbulent flow or magnetic energy and braiding
Structural complexity (applied mathematics)
Structural_complexity_(applied_mathematics)
P.; Christensen, M. (2017). "The tangled nature model for organizational ecology". Computational and Mathematical Organization Theory. 23: 1–31. doi:10
Tangled_nature_model
This article contains a list of mathematical knots and links. See also list of knots, list of geometric topology topics. 01 knot/Unknot - a simple un-knotted
List of mathematical knots and links
List_of_mathematical_knots_and_links
Football season in England
League referees freelancing in the UAE and Saudi? Webb has got himself in a tangle". The Athletic. London: The New York Times. Retrieved 5 January 2024. Fisher
2023–24_Premier_League
Midwestern immigrant community and also unravels both her and her daughter's tangled, acrimonious relationship with Bobbs-Merrill." [better source needed] Capuzzi
List_of_German_Americans
Mathematics, 2005 Abel Prize Robert Fogel (1944) – 1993 Nobel Memorial Prize in Economic Sciences Elias Stein (1949) – 1999 Wolf Prize in Mathematics
List of Stuyvesant High School people
List_of_Stuyvesant_High_School_people
Crew members carefully arranged the ends of the gun-tackles to prevent tangling with the carriage when the gun recoiled. The gun captain placed a powder-filled
Royal Navy during the Napoleonic Wars
Royal_Navy_during_the_Napoleonic_Wars
Concept in aspect-oriented software development
implementation, and can result in either scattering (code duplication), tangling (significant dependencies between systems), or both. For instance, if writing
Cross-cutting_concern
– Ancillon, Charles 1659–1715, privy councillor in Berlin". "France's tangled relationship with pacifism". Le Monde.fr. 26 June 2022. Kritzman, Lawrence
List of people with Huguenot ancestry
List_of_people_with_Huguenot_ancestry
Right-angled non-convex polyhedron
appendix. Stinson, Liz (February 26, 2014). "NASA's Latest Robot: A Rolling Tangle of Rods That Can Take a Beating". Wired. Agogino, Adrian; SunSpiral, Vytas;
Jessen's_icosahedron
American theoretical physicist (1918–1988)
parton model. Feynman developed a pictorial representation scheme for the mathematical expressions describing the behavior of subatomic particles, which later
Richard_Feynman
Species of annelid worm
prevent desiccation. This tangle can move as a single unit and shape-shift. However, on sensing danger (e.g., a predator) the tangle can disentangle within
Lumbriculus_variegatus
Technique of creating lace or fabric from thread using a hook
making crocheting easier by preventing the yarn from becoming easily tangled. The winding process may be performed by hand or done with a ball winder
Crochet
Empress of Russia from 1741 to 1762
Bestuzhev failed. Instead, they put the Russian court into the centre of a tangle of intrigue during the earlier years of Elizabeth's reign. Ultimately, the
Elizabeth_of_Russia
1965 science fiction novel by Frank Herbert
perform, it must tangle itself in a web of predestination. Yet predestination negates surprises and, in fact, sets up a mathematically enclosed universe
Dune_(novel)
1990 book by Camille Paglia
University Press. p. 103. ISBN 978-0-674-00633-1. Konner, Melvin (2003). The Tangled Wing: Biological Constraints on the Human Spirit. New York: Henry Holt
Sexual_Personae
French writer and aviator (1900–1944)
Little Prince," and remarking of their dual fates, "...the two remain tangled together, twin innocents who fell from the sky." Saint-Exupéry's notable
Antoine_de_Saint-Exupéry
1993 film by Chris Columbus
Extremes & Inbetweens – A Life in Animation Related Hare-abian Nights (1959) Really Scent (1959) A Witch's Tangled Hare (1959) The Iceman Ducketh (1964)
Mrs._Doubtfire
American actor and filmmaker (1895–1966)
performing in New York, but only attended for part of one day. Despite tangles with the law, Keaton was a rising and relatively well-paid star in the
Buster_Keaton
Anglican clergyman, scholar
in 1821 with a double first in mathematics and classics. He was elected a Student of Christ Church and taught mathematics there until 1827. In 1827, Dodgson
Charles_Dodgson_(priest)
1959 film
A Witch's Tangled Hare is a 1959 Warner Bros. Looney Tunes theatrical cartoon short directed by Abe Levitow. The short was released on Halloween of 1959
A_Witch's_Tangled_Hare
between two adjacent incoming strings. A planar tangle is defined up to isotopy. To compose two planar tangles, put the output disk of one into an input of
Planar_algebra
Indian statesman and writer (1878–1972)
and Jinnah. In 1944, he proposed a solution to the Indian Constitutional tangle. In the same year, he proposed an "absolute majority" threshold of 55 per
C._Rajagopalachari
American businessman (born 1982)
New Yorker. McGinn, Timothy (2004-05-28). "Online facebooks duel over tangled web of authorship". The Harvard Crimson. O'Brien, Luke (2007-12-03). "Polking
Divya_Narendra
1954–1962 war of Algerian independence from France
history of colonialism. It is hard to see how anybody of importance in the tangled web of the conflict came out looking well. Nobody won the conflict, nobody
Algerian_War
Axiomatic set theory devised by W.V.O. Quine
In mathematical logic, New Foundations (NF) is a non-well-founded, finitely axiomatizable set theory conceived by Willard Van Orman Quine as a simplification
New_Foundations
Method of fastening or securing linear material
AD) in China, later popularized in the Ming. Knot theory is the recent mathematical study of knots. Knots of ancient origin include the bottle sling, bowline
Knot
Indy NXT season
pressure from Hughes. A second caution on lap 17 was followed by a multi-car tangle involving Missig, Correa, Allaer and his HMD teammate Hailie Deegan that
2025_Indy_NXT
Volcano in Japan
2011. Retrieved March 15, 2008. Okado, Yuki (May 3, 2008). "Intruders tangle 'suicide forest' with tape". The Asahi Shimbun. Archived from the original
Mount_Fuji
Warner Bros. theatrical cartoon characters
Extremes & Inbetweens – A Life in Animation Related Hare-abian Nights (1959) Really Scent (1959) A Witch's Tangled Hare (1959) The Iceman Ducketh (1964)
Wile E. Coyote and the Road Runner
Wile_E._Coyote_and_the_Road_Runner
British and Swedish racing driver (born 2007)
behind Théo Pourchaire. After finishing eighth in the sprint despite a tangle with Richard Verschoor, he successfully converted his pole to feature race
Arvid_Lindblad
1943 novella by Antoine de Saint-Exupéry
his Little Prince", and remarking of their dual fates, "the two remain tangled together, twin innocents who fell from the sky". Another noted that the
The_Little_Prince
American racing driver (born 1937)
starting position, and had to qualify on speed. On the 94th lap, Petty became tangled up in an accident, and his car caught fire. Petty pulled the car off the
Richard_Petty
fish, that Hot Rod fought and sawed in half, during the time that he was tangled in giant sea plants. After freeing himself from the giant sea plants and
List of The Transformers characters
List_of_The_Transformers_characters
exist. Prime knot Tangle (knot theory) Lickorish, W. B. Raymond (1997), An introduction to knot theory, Graduate Texts in Mathematics, vol. 175, Springer-Verlag
Tait_conjectures
Australian science fiction author and mathematician
Award, and the Locus Award. Egan holds a Bachelor of Science degree in mathematics from the University of Western Australia. He published his first work
Greg_Egan
2019 Indian Hindi-language biographical film
screenplay of Super 30 had 'skimmed the surface of a massive mound of tangled issues', and that Hrithik Roshan was miscast as Anand Kumar. He opined
Super_30_(film)
English mountaineer (1886–1924)
with the remnants of a braided cotton climbing rope tied to its waist and tangled around the body. Since it was believed that Irvine had fallen from the
George_Mallory
Optimization algorithm for artificial neural networks
Backpropagation had multiple discoveries and partial discoveries, with a tangled history and terminology (see § History). Some other names for the technique
Backpropagation
American theoretical physicist (1904–1967)
"Chevalier to Oppenheimer, July 23, 1964". Brotherhood of the Bomb: The Tangled Lives and Loyalties of Robert Oppenheimer, Ernest Lawrence, and Edward
J._Robert_Oppenheimer
Multilingual neural machine translation service
Retrieved February 24, 2012. Gomes, Lee (July 22, 2010). "Google Translate Tangles With Computer Learning". Forbes. Archived from the original on November
Google_Translate
2011 American cartoon anthology
Leghorn, The Hasty Hare, Hare-Way to the Stars, Bill of Hare, A Witch's Tangled Hare, Feline Frame-Up, and Boyhood Daze — were previously restored as part
Looney Tunes Platinum Collection: Volume 1
Looney_Tunes_Platinum_Collection:_Volume_1
Animated short film series and media franchise
Extremes & Inbetweens – A Life in Animation Related Hare-abian Nights (1959) Really Scent (1959) A Witch's Tangled Hare (1959) The Iceman Ducketh (1964)
Looney_Tunes
Disney animated film by Chris Buck and Jennifer Lee
veteran, was cast as Elsa. Menzel had auditioned for Tangled, but did not get the part. Tangled casting director Jamie Sparer Roberts kept a recording
Frozen_(2013_film)
American rapper and record producer (born 1969)
duties to other producers in the Wu-Tang camp, such as his protégés Mathematics, True Master and 4th Disciple who are known as the original Wu-Elements
RZA
1990s art movement in Brooklyn, New York City
projections through walls of flowing liquid. The dimension of a room made of tangled golden wire found on site dissolved into a texture of indeterminate depth
Brooklyn_Immersionists
Research field in deep learning
can be generalized for data on differentiable manifolds, knots, links, tangles, curves, etc. Traditional techniques from deep learning often operate under
Topological_deep_learning
Example of a paradoxical argument
Nonbeing must in some sense be, otherwise what is it that there is not? This tangled doctrine might be nicknamed Plato's beard; historically it has proved tough
Plato's_beard
North American cult and pyramid scheme
February 28, 2025. Pompeo, Joe (November 26, 2014). "Journalist on leave after tangle with secretive 'NXIVM' group". Politico Media. "The truth vs. the cult:
NXIVM
German mathematician
Graphentheorie (1996), and translated into Chinese, Japanese, and Russian. Tangles: A Structural Approach to Artificial Intelligence in the Empirical Sciences
Reinhard_Diestel
American filmmaker (born 1969)
Retrieved December 11, 2010. Young, John (May 12, 2010). "Box office report: 'Tangled' wins slow weekend with $21.5 mil". Entertainment Weekly. Archived from
Darren_Aronofsky
TANGLE MATHEMATICS
TANGLE MATHEMATICS
Surname or Lastname
English
English : occupational name from an agent derivative of Middle English tingle (see Tingle).German : occupational or status name for a medieval judge or court official, from Old High German ding ‘legal proceeding’.German : variant of Tengler.
Girl/Female
French
Angel.
Surname or Lastname
English and Irish (of Norman origin)
English and Irish (of Norman origin) : topographic name from Middle English and Old French angle ‘angle’, ‘corner’ (Latin angulus). As an Irish surname, it can also be habitational, from a place in Pembrokeshire, South Wales, named with this word.Americanized spelling of German Angel or Engel.
Surname or Lastname
English
English : variant of Ingle.
Boy/Male
Spanish American Greek Latin
Angel.
Female
English
Variant spelling of English Janelle, JANELE means "God is gracious."
Boy/Male
American, Danish, French, German, Greek, Indian, Italian, Spanish
Angel
Girl/Female
Latin American Greek
Angel; Like an angel. From angelicus meaning angelic.
Boy/Male
German, Swedish
Angel; Bright Angle
Boy/Male
American, British, Danish, English, French, German, Greek, Hindu, Indian, Latin, Spanish
Messenger of God; Angel; Messenger
Surname or Lastname
English
English : metonymic occupational name for a maker of nails or pins, or nickname for a small, thin man, from Middle English tingle, a kind of very small nail (of North German origin).
Male
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger." Once used as a man's name in England. It is now almost strictly a feminine name.
Girl/Female
Greek American Italian Latin
Messenger or angel. A popular masculine name in Sicily after the 13th-century saint, Angel. Angel...
Surname or Lastname
Altered spelling of German Dingle.Possibly an altered spelling of North German Tüngler, a habitational name for someone from Tunglen near Oldenburg (Lower Saxony); or alternatively a topographic name for someone living on a tongue-shaped piece of land, f
Altered spelling of German Dingle.Possibly an altered spelling of North German Tüngler, a habitational name for someone from Tunglen near Oldenburg (Lower Saxony); or alternatively a topographic name for someone living on a tongue-shaped piece of land, from Middle Low German tungle ‘tongue’.English : habitational name, possibly from Tingley in West Yorkshire, named from Old English þing ‘meeting’, ‘assembly’ + hlÄw ‘mound’. However, this is a predominantly southern name, associated chiefly with Sussex and Kent, which suggests that a different, unidentified source may be involved.
Girl/Female
Christian, French, German, Greek
Angel; A Messenger from God
Male
Finnish
Finnish form of Greek Daniēl (Hebrew Daniyel), TANELI means "God is my judge."
Girl/Female
British, English, Greek, Latin
Angel
Female
English
English short form of Latin Angela, ANGIE means "angel, messenger."
Male
Native American
Native American Sioux name KANGEE means "raven."
Female
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger."Â Originally a male name, it is now almost strictly female.
TANGLE MATHEMATICS
TANGLE MATHEMATICS
Girl/Female
Muslim
Pure, Original
Girl/Female
Bengali, Indian
Goddess Lakshmi
Boy/Male
Indian, Punjabi, Sikh
Remembering the Love of God
Girl/Female
British, English
Cute
Girl/Female
Arthurian Legend
A lady.
Boy/Male
Indian
Supplanter, Supplant, Replace, Derived from the latin jacomus
Surname or Lastname
English
English : topographic name for a hill dweller (see Heller).Jewish (Ashkenazic) : variant of Hellerman.Dutch : variant of Helman.German : see Hellmann.
Male
Portuguese
Portuguese form of Latin Salomon, SALOMÃO means "peaceable."
Girl/Female
Russian
Praise be to God.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Sindhi, Telugu
A River in the Himalayas; Flawless
TANGLE MATHEMATICS
TANGLE MATHEMATICS
TANGLE MATHEMATICS
TANGLE MATHEMATICS
TANGLE MATHEMATICS
imp. & p. p.
of Dangle
v. t.
To cause to dangle; to swing, as something suspended loosely; as, to dangle the feet.
v.
A knot of threads, or other thing, united confusedly, or so interwoven as not to be easily disengaged; a snarl; as, hair or yarn in tangles; a tangle of vines and briers. Used also figuratively.
v. t.
See Entangle.
v. i.
To be entangled or united confusedly; to get in a tangle.
v. i.
To fish with an angle (fishhook), or with hook and line.
imp. & p. p.
of Mangle
a.
Having oblique angles; as, an oblique-angled triangle.
a.
Containing a right angle or right angles; as, a right-angled triangle.
imp. & p. p.
of Angle
a.
Having an angle or angles; -- used in compounds; as, right-angled, many-angled, etc.
imp. & p. p.
of Jangle
n.
To unite or knit together confusedly; to interweave or interlock, as threads, so as to make it difficult to unravel the knot; to entangle; to ravel.
n.
One who smooths with a mangle.
n. & v.
See Jingle.
n.
To smooth with a mangle, as damp linen or cloth.
a.
Covered with tangle, or seaweed.
a.
Having acute angles; as, an acute-angled triangle, a triangle with every one of its angles less than a right angle.
imp. & p. p.
of Tangle
n.
To involve; to insnare; to entrap; as, to be tangled in lies.