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Multifoil arch

Multifoil arch is a chemistry 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 Multifoil arch rather than just read about it. In short: A multifoil arch (or polyfoil arch), also known as a cusped arch, polylobed arch, or scalloped arch, is an arch characterized by multiple circular arcs or leaf shapes (called foils, lobes, or cusps) that are cut into its interior profile or intrados. The term foil comes from the old French word for "leaf." A specific number of foils is indicated by a prefix: trefoil (three), quatrefoil (four), cinquefoil (five), sex…

Multifoil arch — main illustration
Multifoil arch — illustration

Key takeaways

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

Reference excerpt

A multifoil arch (or polyfoil arch), also known as a cusped arch, polylobed arch, or scalloped arch, is an arch characterized by multiple circular arcs or leaf shapes (called foils, lobes, or cusps) that are cut into its interior profile or intrados. The term foil comes from the old French word for "leaf." A specific number of foils is indicated by a prefix: trefoil (three), quatrefoil (four), cinquefoil (five), sexfoil (six), octofoil (eight). The term multifoil or scalloped is specifically used for arches with more than five foils. The multifoil arch is characteristic of Islamic art and architecture; particularly in the Moorish architecture of al-Andalus (Iberian Peninsula) and North Africa and in Mughal architecture of the Indian subcontinent. Variants of the multifoil arch, such as the trefoil arch, are also common in other architectural traditions such as Gothic architecture. 

Origins The first multifoil arches were developed by the Umayyads and can be found in a small mosque at Qasr al-Hallabat, one of the Umayyad Desert Castles, in present-day Jordan. The architects of this structure experimented with both hollow/concave lobes and protruding/convex lobes in the relieving arches above the doors. Multifoil arches also appear early on as decorative niches in the Qasr al-'Ashiq in Samarra, present-day Iraq, and in the Mosque of Ibn Tulun in Cairo, Egypt, both of which were built under Abbasid (and Tulunid) rule in the 9th century. These examples have been used to support the hypothesis that multifoil arches originated in the Middle Eastern regions of the Islamic world, although Richard Ettinghausen, Oleg Grabar and Marilyn Jenkins-Madina have called this hypothesis into question.

Other early examples of multifoil arches are found in the Great Mosque of Cordoba in al-Andalus (present-day Spain), in particular the arches of the maqsura area added to the mosque in the 10th century by al-Hakam II. Ettinghausen, Grabar, and Jenkins-Madina argue that the form of these arches probably developed locally in al-Andalus, noting that in Cordoba they occurred as structural elements while in the eastern Islamic world they occurred mostly as decorative elements. Another scholar, Ignacio Arce, notes that Ettinghausen and Grabar did not take into account the earlier occurrences at the Qasr al-Hallabat mosque, where polylobed arches are used as structural elements. Jonathan Bloom also argues that the intersecting cusped arches of the Great Mosque of Cordoba were a local development, likely the result of a deliberate elaboration from the older two-tiered round arches that were part of the mosque since its initial foundation in 785.

Later developments

North Africa and al-Andalus The typical multifoil arches that appear in later buildings of Al-Andalus and North Africa also have precedents in Fatimid architecture in Ifriqiya and Egypt, for example at Bab Zuweila (dated to 1091). Georges Marçais argued that both the Great Mosque of Cordoba and Fatimid architecture in Ifriqiya were probably the most relevant precedents which led to the adoption and development of multifoil arches in the western regions of the Islamic world. Multifoil arches appear prominently in the 11th-century Aljaferia palace of the Taifas period in al-Andalus. In the Almoravid and Almohad periods (11th–13th centuries), this type of arch was further refined for decorative functions while horseshoe arches continued to be standard elsewhere. They appear, for example, in the Great Mosque of Tlemcen (in present-day Algeria) and the Mosque of Tinmal (present-day Morocco). The motif of intersecting multifoil arches also gave rise to the sebka motif which is frequently employed in the art and architecture of the region. In Egypt, the cusped trefoil or trilobed arch became a characteristic decorative feature of portals in late Fatimid architecture and Mamluk architecture (from approximately the 12th to 16th centuries).

Indian subcontinent The cusped arch is attested in Hindu temple architecture such as the trilobed or trefoil arches of the Martand Temple (8th century) and the temple of Pandrethan (10th century), both in Kashmir, as well as at the temple of Malot (10th century) in northern Punjab. The example at the Martand Temple is made with a corbelled stone construction. This use of a trefoil arch, typically inside a triangular pediment on the façade of temples, was a characteristic feature of Hindu architecture in Kashmir and the western Himalayan region during this time. Some of the earliest trefoil-arched entrances in this tradition are attested in temples at Bilot and Mari-Indus, dated by Michael W. Meister to the late 6th or early 7th century and the 8th century, respectively. Over the 9th and 10th centuries this style evolved further and sometimes incorporated five-lobed (or cinquefoil) arches, as exemplified in the Amb temples dated to this period. The most important contribution of Indo-Islamic architecture to this region was the introduction the "true" arch during the Delhi Sultanate period, which progressively replaced the trabeate or corbel arch. After this, multifoil arches later became a characteristic feature of Mughal architecture during the 17th century, particularly during the reign of Shah Jahan (r. 1628–1658). It was also characteristic of Rajput architecture, which developed in close relation with Mughal architecture during the Mughal era.

… excerpt ends here. Continue reading the full article.

Illustrations

Multifoil arch: Multifoil arch in the Aljafería, Zaragoza, Spain
Multifoil arch in the Aljafería, Zaragoza, Spain
Multifoil arch illustration
Multifoil arch illustration
Multifoil arch illustration
Multifoil arch illustration

Worked examples

Example 1 — a first encounter with Multifoil arch

Start with the simplest possible case. Write down what Multifoil arch claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In chemistry, 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 Multifoil arch 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 Multifoil arch 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 Multifoil arch

In research
Multifoil arch appears in chemistry 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 Multifoil arch 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
Multifoil arch is common in secondary-school and first-year university syllabi. It links to neighbouring topics Architectural elements, Architecture in Spain, Islamic architectural elements, so understanding it makes those chapters shorter.
In everyday life
Look for Multifoil arch 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 Multifoil arch in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Multifoil arch 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 Multifoil arch out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Multifoil arch in simple terms?

A multifoil arch (or polyfoil arch), also known as a cusped arch, polylobed arch, or scalloped arch, is an arch characterized by multiple circular arcs or leaf shapes (called foils, lobes, or cusps) that are cut into its interior profile or intrados. The term foil comes from the old French word for…

Why does Multifoil arch matter?

Because it connects several chemistry 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 Multifoil arch?

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 Multifoil arch.

Tags

  • Architectural elements
  • Architecture in Spain
  • Islamic architectural elements
  • Islamic architecture
  • Moorish architecture

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