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Triquetra

Triquetra is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Triquetra rather than just read about it. In short: The triquetra ( try-KWEH-truh; from the Latin adjective triquetrus "three-cornered") is a triangular figure composed of three interlaced arcs, or (equivalently) three overlapping vesicae piscis lens shapes. It is used as an ornamental design in architecture, and in medieval manuscript illumination (particularly in the Insular tradition).

Triquetra — main illustration
Triquetra — illustration

Key takeaways

  • Triquetra belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Triquetra to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Triquetra from memory before moving on to harder problems.

Reference excerpt

The triquetra ( try-KWEH-truh; from the Latin adjective triquetrus "three-cornered") is a triangular figure composed of three interlaced arcs, or (equivalently) three overlapping vesicae piscis lens shapes. It is used as an ornamental design in architecture, and in medieval manuscript illumination (particularly in the Insular tradition). Its depiction as interlaced is common in Insular ornaments from about the 7th century. In this interpretation, the triquetra represents the topologically simplest possible knot.

History

Iron Age

The term triquetra in archaeology is used of any figure consisting of three arcs, including a pinwheel design of the type of the triskeles. Such symbols become frequent from about the 4th century BC ornamented ceramics of Anatolia and Persia, and it appears on early Lycian coins. The triquetra bears a resemblance to the valknut, a design of three interlacing triangles, found in the same context.

Insular art The triquetra is often found in insular art, most notably metal work and in illuminated manuscripts like the Book of Kells. It is a "minor though recurring theme" in the secondary phase of Anglo-Saxon sceatta production (c. 710–760). It is found in similar artwork on early Christian High Crosses and slabs. An example from early medieval stonework is the Anglo-Saxon frithstool at Hexham Abbey. The symbol has been interpreted as representing the Holy Trinity, especially since the Celtic revival of the 19th century. The original intention by the early medieval artists is unknown and should not be subject to over-interpretation. It is, however, regularly used as a Trinitarian symbol in contemporary Catholic iconography.

Buddhist tradition The triquetra has been a known symbol in Japan called Musubi Mitsugashiwa. Being one of the forms of the Iakšaku dynasty signs, it reached Japan with the dynasty's Kāśyapīya spreading technology and Buddhism via the Kingdom of Khotan, China, and Korea.

Modern use The triquetra is often used artistically as a design element when Celtic knotwork is used, especially in association with the modern Celtic nations. The triquetra, also known as an "Irish Trinity Knot", is often found as a design element in popular Irish jewelry such as claddaghs and other wedding or engagement rings. Some Christians use the triquetra as a symbol for the Trinity. In the 19th century interest in archeology and medieval Celtic art led to the reuse of the Triquetra as a motif of the Celtic Revival. One of the earliest references to the triquetra as a Trinity symbol was by Dr. George Petrie in his 1845 book The Ecclesiastical Architecture of Ireland. Another leading scholar, J. Romilly Allen, expressed his doubts about Trinity symbolism in his 1905 book Early Christian Monuments of Scotland. Celtic pagans or neopagans who are not of a Celtic cultural orientation may use the triquetra to symbolise a variety of concepts and mythological figures. Due to its presence in insular Celtic art, Celtic Reconstructionists use the triquetra either to represent one of the various triplicities in their cosmology and theology (such as the tripartite division of the world into the realms of Land, Sea, and Sky), or as a symbol of one of the specific Celtic triple goddesses – for example the battle goddess, The Morrígan. The symbol is also sometimes used by Wiccans, White Witches, and some New Agers to symbolise the Triple Goddess, or as a protective symbol.

Popular Culture In the 1998–2006 American fantasy drama Charmed, that ran on the now-defunct The WB network, the triquetra was prominently used as a symbol on the Halliwells' Book of Shadows, the book of spells, potions, and other information the sisters used to fight evil. The triquetra was also used as a symbol of the Charmed Ones and their collective Power of Three. The triquetra on the Book of Shadows would be seen to fracture and pull apart when their bond was temporarily broken by a demon. It was also featured prominently in the opening credits of each episode throughout its eight-season run. The symbol was also used in the 2018 reboot that ran on The CW. In the TV series The Walking Dead (2010), Michonne's katana features a triquetra, chosen for its meaning as a "triple goddess symbol". In the German Netflix series Dark (2017), it symbolizes the caves' closed time loops with each loop being 33 years apart, with the past affecting the future and the future influencing the past. The Triquetra is of significant symbolic value to the time travelers. This symbol can be seen on the Cave's metal door, on the Emerald Tablet, in The Stranger's papers, and in the Sic Mundus photo. The Triquetra is shown on Thor's hammer, Mjölnir, in the 2011 film Thor. After Odin utters to Mjölnir the words "Whosoever holds this hammer, if he be worthy, shall possess the power of Thor", the Triquetra vanishes. It represents Asgard, Midgard, and Utgard. The Triquetra is also used on the logo of the video game developer Treyarch, one of the developers of the Call of Duty franchise. The Triquetra is also used as the symbol of "Mora", the common currency used in the world of "Genshin Impact".

Gallery

Variant forms

See also Borromean rings Cintamani Johnson circles Three hares Tomoe Triskelion Valknut

References

Further reading

H. Trætteberg, E. Moltke, I. Lindeberg, "Triquetra" in: Kulturhistorisk leksikon for nordisk middelalder, vol. 18 (1982), p. 634–6356. Martin Blindheim: Graffiti in Norwegian stave churches c. 1150 – c. 1350, Oslo 1985, i.a. p. 44–45

External links Weisstein, Eric W. "Johnson's Theorem". MathWorld.

Illustrations

Triquetra: Interlaced triquetra which is a trefoil knot
Interlaced triquetra which is a trefoil knot
Triquetra: Comparison of associated Reuleaux triangle (red hatching), triquetra (blue) and vesica piscis (teal)
Comparison of associated Reuleaux triangle (red hatching), triquetra (blue) and vesica piscis (teal)
Triquetra: Triquetra on one of the Funbo Runestones (11th century), located in the park of Uppsala University.
Triquetra on one of the Funbo Runestones (11th century), located in the park of Uppsala University.
Triquetra illustration
Triquetra illustration

Worked examples

Example 1 — a first encounter with Triquetra

Start with the simplest possible case. Write down what Triquetra claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Triquetra before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Triquetra ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Triquetra

In research
Triquetra appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Triquetra in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Triquetra is common in secondary-school and first-year university syllabi. It links to neighbouring topics Celtic art, Christian symbols, Church architecture, so understanding it makes those chapters shorter.
In everyday life
Look for Triquetra outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Triquetra in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Triquetra means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Triquetra out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Triquetra in simple terms?

The triquetra ( try-KWEH-truh; from the Latin adjective triquetrus "three-cornered") is a triangular figure composed of three interlaced arcs, or (equivalently) three overlapping vesicae piscis lens shapes. It is used as an ornamental design in architecture, and in medieval manuscript illumination…

Why does Triquetra matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Triquetra?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Triquetra.

Tags

  • Celtic art
  • Christian symbols
  • Church architecture
  • Culture of Ireland
  • Early Germanic symbols
  • Iconography
  • Ornaments
  • Piecewise-circular curves
  • Religious symbols
  • Romanesque art
  • Rotational symmetry
  • Symbols

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