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Mandala

Mandala 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 Mandala rather than just read about it. In short: A mandala (Sanskrit: मण्डल, romanized: maṇḍala, lit. 'circle', [ˈmɐɳɖɐlɐ]) is a geometric configuration of symbols originating in Indian religions. In various spiritual traditions, mandalas may be employed for focusing attention of practitioners and adepts, as a spiritual guidance tool, for establishing a sacred space and as an aid to meditation and trance induction.

Mandala — main illustration
Mandala — illustration

Key takeaways

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

Reference excerpt

A mandala (Sanskrit: मण्डल, romanized: maṇḍala, lit. 'circle', [ˈmɐɳɖɐlɐ]) is a geometric configuration of symbols originating in Indian religions. In various spiritual traditions, mandalas may be employed for focusing attention of practitioners and adepts, as a spiritual guidance tool, for establishing a sacred space and as an aid to meditation and trance induction. In Hinduism, Buddhism and Jainism, it is used as a map representing deities. In the Shinto religion, mandala is used as a map of paradises, kami or actual shrines.

Hinduism

In Hinduism, a basic mandala, also called a yantra, takes the form of a square with four gates containing a circle with a centre point. Each gate is in the general shape of a T. Mandalas often have radial balance. A yantra is similar to a mandala, usually smaller and using a more limited colour palette. It may be a two- or three-dimensional geometric composition used in sadhanas, puja or meditative rituals, and may incorporate a mantra into its design. It is considered to represent the abode of the deity. Each yantra is unique and calls the deity into the presence of the practitioner through the elaborate symbolic geometric designs. According to one scholar, "Yantras function as revelatory symbols of cosmic truths and as instructional charts of the spiritual aspect of human experience" Many situate yantras as central focus points for Hindu tantric practice. Yantras are not representations, but are lived, experiential, nondual realities. As Khanna describes:

Despite its cosmic meanings a yantra is a reality lived. Because of the relationship that exists in the Tantras between the outer world (the macrocosm) and man's inner world (the microcosm), every symbol in a yantra is ambivalently resonant in inner–outer synthesis, and is associated with the subtle body and aspects of human consciousness. The term 'mandala' appears in the Rigveda as the name of the sections of the work, and Vedic rituals use mandalas such as the Navagraha mandala to this day. For each tantric tradition, its mandala is the most important visual form. Abhinavagupta in his Tantrāloka textually describes the four key mandalas of the Trika tradition, which were translated, decoded and illustrated by Christian de Vietri in his book Trika Maṇḍala Prakāśa.

Buddhism

Vajrayana

In Vajrayana Buddhism, mandalas have been developed also into sandpainting. They are also a key part of Anuttarayoga Tantra meditation practices.

Visualisation of Vajrayana teachings The mandala can visually represent the core essence of the Vajrayana teachings. The mandala represents the nature of the Pure Land, Enlightened mind. An example of this type of mandala is a Vajrabhairava mandala, a silk tapestry woven with gilded paper depicting lavish elements like crowns and jewelry, which gives a three-dimensional effect to the piece.

Mount Meru A mandala can also represent the entire universe, which is traditionally depicted with Mount Meru as the axis mundi in the center, surrounded by the continents. One example is the Cosmological Mandala with Mount Meru, a silk tapestry from the Yuan dynasty that serves as a diagram of the Tibetan cosmology, which was given to China from Nepal and Tibet.

Wisdom and impermanence In the mandala, the outer circle of fire usually symbolises wisdom. The ring of eight charnel grounds represents the Buddhist exhortation to be always mindful of death, and the impermanence with which samsara is suffused: "such locations were utilized in order to confront and to realize the transient nature of life". Described elsewhere: "within a flaming rainbow nimbus and encircled by a black ring of dorjes, the major outer ring depicts the eight great charnel grounds, to emphasize the dangerous nature of human life". Inside these rings lie the walls of the mandala palace itself, specifically a place populated by deities and Buddhas.

Five Buddhas

One well-known type of mandala is the mandala of the "Five Buddhas", archetypal Buddha forms embodying various aspects of enlightenment. Such Buddhas are depicted depending on the school of Buddhism, and even the specific purpose of the mandala. A common mandala of this type is that of the Five Wisdom Buddhas (a.k.a. Five Jinas), the Buddhas Vairocana, Aksobhya, Ratnasambhava, Amitabha and Amoghasiddhi. When paired with another mandala depicting the Five Wisdom Kings, this forms the Mandala of the Two Realms.

Practice

Mandalas are commonly used by tantric Buddhists as an aid to meditation. The mandala is "a support for the meditating person", something to be repeatedly contemplated to the point of saturation, such that the image of the mandala becomes fully internalised in even the minutest detail and can then be summoned and contemplated at will as a clear and vivid visualized image. With every mandala comes what Tucci calls "its associated liturgy ... contained in texts known as tantras", instructing practitioners on how the mandala should be drawn, built and visualised, and indicating the mantras to be recited during its ritual use. By visualizing "pure lands", one learns to understand experience itself as pure, and as the abode of enlightenment. The protection that we need, in this view, is from our own minds, as much as from external sources of confusion. In many tantric mandalas, this aspect of separation and protection from the outer samsaric world is depicted by "the four outer circles: the purifying fire of wisdom, the vajra circle, the circle with the eight tombs, the lotus circle". The ring of vajras forms a connected fence-like arrangement running around the perimeter of the outer mandala circle. As a meditation on impermanence (a central teaching of Buddhism), after days or weeks of creating the intricate pattern of a sand mandala, the sand is brushed together into a pile and spilled into a body of running water to spread the blessings of the mandala. Kværne in his extended discussion of sahaja, discusses the relationship of sadhana interiority and exteriority in relation to mandala thus:

… excerpt ends here. Continue reading the full article.

Illustrations

Mandala: Thangka painting of Manjuvajra mandala
Thangka painting of Manjuvajra mandala
Mandala: The Womb Realm mandala. The center square represents the young stage of Vairocana. He is surrounded by eight Buddhas and bodhisattvas (clockwise from top: Ratnasambhava, Samantabhadra, Saṅkusumitarāja, Manjushri, Amitābha, Avalokiteśvara, Amoghasiddhi and Maitreya)
The Womb Realm mandala. The center square represents the young stage of Vairocana. He is surrounded by eight Buddhas and bodhisattvas (clockwise from top: Ratnasambhava, Samantabhadra, Saṅkusumitarāja, Manjushri, Amitābha, Avalokiteśvara, Amoghasiddhi and Maitreya)
Mandala: Paubha painting of Vishnu Mandala
Paubha painting of Vishnu Mandala
Mandala: Painted 17th-century Tibetan 'Five Deity Mandala', in the centre is Rakta Yamari (the Red Enemy of Death) embracing his consort Vajra Vetali, in the corners are the Red, Green, White and Yellow Yamaris, Rubin Museum of Art
Painted 17th-century Tibetan 'Five Deity Mandala', in the centre is Rakta Yamari (the Red Enemy of Death) embracing his consort Vajra Vetali, in the corners are the Red, Green, White and Yellow Yamaris, Rubin Museum of Art
Mandala: Sandpainting showing Buddha mandala, which is made as part of the death rituals among Buddhist Newars of Nepal
Sandpainting showing Buddha mandala, which is made as part of the death rituals among Buddhist Newars of Nepal

Worked examples

Example 1 — a first encounter with Mandala

Start with the simplest possible case. Write down what Mandala 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 Mandala 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 Mandala 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 Mandala

In research
Mandala 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 Mandala 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
Mandala is common in secondary-school and first-year university syllabi. It links to neighbouring topics Buddhist art, Buddhist meditation, Buddhist philosophical concepts, so understanding it makes those chapters shorter.
In everyday life
Look for Mandala 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 Mandala in 20 minutes

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

Frequently asked questions

What is Mandala in simple terms?

A mandala (Sanskrit: मण्डल, romanized: maṇḍala, lit. 'circle', [ˈmɐɳɖɐlɐ]) is a geometric configuration of symbols originating in Indian religions. In various spiritual traditions, mandalas may be employed for focusing attention of practitioners and adepts, as a spiritual guidance tool, for establi…

Why does Mandala 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 Mandala?

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 Mandala.

Tags

  • Buddhist art
  • Buddhist meditation
  • Buddhist philosophical concepts
  • Ceremonies
  • Hindu philosophical concepts
  • Indian iconography
  • Mandalas
  • Meditation
  • Religious objects
  • Religious symbols
  • Tibetan Buddhist practices
  • Tibetan Buddhist ritual implements

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