ArticleslgStudy

mathematics

Vortex Garden

Vortex Garden is a mathematics 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 Vortex Garden rather than just read about it. In short: The Vortex Garden is a privately owned public garden in the Hessian city of Darmstadt (Germany). It is a pantheistic permaculture garden at the art nouveau area of Mathildenhöhe and alludes to Viktor Schauberger’s discovery of “levitational force” through artistic depictions by internationally renowned sculptors including John Wilkes, Jacopo Foggini, Jerome Abel Seguin and Hyesung Hyun.

Vortex Garden — main illustration
Vortex Garden — illustration

Key takeaways

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

Reference excerpt

The Vortex Garden is a privately owned public garden in the Hessian city of Darmstadt (Germany). It is a pantheistic permaculture garden at the art nouveau area of Mathildenhöhe and alludes to Viktor Schauberger’s discovery of “levitational force” through artistic depictions by internationally renowned sculptors including John Wilkes, Jacopo Foggini, Jerome Abel Seguin and Hyesung Hyun. The garden is the private property of Henry Nold of Darmstadt, but is open to the public. The garden was planted and designed by a team around the owner and conceptual artist Henry Nold.

Concept The term “Vortex” denotes an eddy or whirling movement. For the owner of the garden it means spirals or helix-shaped forms and, by extension, evokes concepts such as DNA, double helix and the building blocks of life.

Historical/cultural background The Vortex Garden, along with the “Haus Hubertus” built in 1921 by the architect Jan Hubert Pinand for the Diefenbach family, is the basis of a new form of “sacred topography”, a tribute to the life reform movement, which considered itself an alternative to both communism and capitalism. The charismatic effect of the German and Swiss artists’ colonies of Mathildenhöhe, Worpswede, Amden and Monte Verità nurtured creativity in bohemians and free thinkers and was conducive to the emergence of other utopian projects and a new context of alternative thinking in Europe. Behind this was the dream of all those who suffered from the loss of paradise and longed to find a new one: Anarchists, Nudists, Feminists, Dadaists, Pacifists, Freemasons, Theosophists and Self-seekers. What appealed to these people more and more was the spirit of utopia and a new definition of self through the creation of their own mythology far removed from time-honoured life processes and habits. The Vortex Garden mirrors this desire for a place where energies operating invisibly are recollected and brought together and, when reflected upon, can manifest themselves.

Geometry and Numerology Another theme in the Vortex Garden is that of sacred geometry and cosmological numerical relationships, such as the “golden mean” and the Fibonacci number sequence derived from it, frequently found in the crop circles, often 70 meters in diameter, that mysteriously appear each year mainly in fields in England up until the grain harvest. Smaller versions of these crop circles are immortalised at Prinz-Christians-Weg 13, Darmstadt in the form of mosaics and tiling pictograms, as well as three-dimensionally in sculpture of meticulous craftsmanship. The highly complex patterns of these corn circles are drawn as step-by-step comprehensible geometric designs and have an orderly, decorous effect on the environment in which they are located—as in the case of the side entrance staircase, where a row of engraved bronze coins stands side by side interspersed at short intervals with 48 various crop circle pictograms. A photograph of Goethe’s summerhouse in Weimar showing a stone pentagram on the floor provided the inspiration for the crop circle mosaic of limestone slabs in the pavilion with sparkling glass prisms in the dome design. The 108 egg-shaped walkway stepping-stones placed around the house provide a lunar evocation, mirrored in silver precious metal with an atomic weight of 108 and reminiscent of the radius of the moon, 1080 miles.

Bionics and Permaculture In the organically-shaped cascading pools by John Wilkes, the water makes flowing lemniscate patterns with various rhythms according to the different basin widths. The trick fountains are supplied with rainwater from the gutters through three tanks; enhanced by the invigorating motion in the flowform basins, the water is used for garden irrigation. In the Vortex Garden, garden soil and plant maintenance is based on principles of the permaculture approach. On the recommendations of Hermann Benjes, a relatively large number of dead wood stacks and woodpiles provide choice breeding grounds for microorganisms in this town garden.

Garden Layout with egg-shaped Elements The pond, dug out in a crater-like, ovoid form and topped with a round wooden walkway and magenta-coloured Stalattite sculpture by Jacopo Foggini, is styled on runic exercise “funnels” that were dug into the ground for gymnastics practice and entailed considerable earth movement. A three-legged copper funnel with a bell-shaped and spirally swirling waterflow brings vitality to the biotope. Set on a ledge between the two large bat nesting boxes in front of the upstairs bedroom windows are a large number of short logs with thousands upon thousands of holes on the end grain side to form possible dwellings for insects. Elsewhere a canopied clay egg almost 2 meters high with holes cut into its surface may be considered a home for solitary bees and a nesting site for other insects. Several honeycombed boxes are set in the garden for honeybees.

Implosion instead of Explosion From his findings gleaned over 30 years spent observing nature in pristine areas of Austria, Viktor Schauberger sought to implement basic life and movement processes and principles for the production of alternative fuel energy for machines, turbines, engines or to generate heat. Visitors to the Vortex Garden can experience such implosive forces and empathize with the way that life forces can or may emerge, grow and develop. The name “Vortex” derives from the many flowform water features and funnels with spiralling and lemniscate (figure-eight shaped) forms of water movement.

Gallery

Maps

See also Darmstadt Artists' Colony Insect hotel

References

External links Official website Info Mathildenhoehe The Garden Landscape Guide Mathildenhoehe Darmstadt Photos Vortex Garten Story in German Newspaper Darmstädter Echo

External links only available in German Language Gartenkunst: Der geheime Garten des Henry Nold. Aus Ethikkooperation.de Archived 30 May 2017 at the Wayback Machine Video, ARD (broadcaster), 27.05.2014, Deutsche Gärten: Verwilderter Stadtgarten Archived 29 July 2017 at the Wayback Machine

Illustrations

Vortex Garden: Vortex Garden, Stalattite sculpture
Vortex Garden, Stalattite sculpture
Vortex Garden illustration
Vortex Garden illustration
Vortex Garden illustration
Vortex Garden illustration

Worked examples

Example 1 — a first encounter with Vortex Garden

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

In research
Vortex Garden appears in mathematics 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 Vortex Garden 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
Vortex Garden is common in secondary-school and first-year university syllabi. It links to neighbouring topics Gardens in Hesse, Pantheism, Sacred geometry, so understanding it makes those chapters shorter.
In everyday life
Look for Vortex Garden 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.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Vortex Garden in 20 minutes

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

Frequently asked questions

What is Vortex Garden in simple terms?

The Vortex Garden is a privately owned public garden in the Hessian city of Darmstadt (Germany). It is a pantheistic permaculture garden at the art nouveau area of Mathildenhöhe and alludes to Viktor Schauberger’s discovery of “levitational force” through artistic depictions by internationally reno…

Why does Vortex Garden matter?

Because it connects several mathematics 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 Vortex Garden?

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 Vortex Garden.

Tags

  • Gardens in Hesse
  • Pantheism
  • Sacred geometry

Keep exploring