Category: Geometry

Connecting children to to their world - the language of shapes

11/7/2018

Numerous times I have had conversations about how worthwhile it would be to teach children the significance of mathematics using examples of geometry around us in Nature. In fact, using examples everything we interact with and the many fun ways in which we use it - as in our games, clothes, music and so many other relevant ways that a child can easily relate to, and understand it.

Sometimes I dabble with the idea of producing a book for children describing the richness of the language of numbers. Maybe I will do one day, but in the meantime I searched around to see if anyone else had already done so.......and discovered.....

This Disney animation, "Donald in Mathmagic Land" was recommended to me. It is an example of how much more interesting, and memorable, mathematics could be made using visual, real examples from around us.

"The Greedy Triangle"....and several books that were already showing how fun the world of geometric shapes can be for the younger audience. In fact there were DOZENS approaching geometry-shapes and colours from different 'angles'!

Books on geometric shapes for young readers

"The I Hate Mathematics! book" by Marilyn Burns - '....a way of looking at the world and that it can be relevant to everyday life (Street maths) and fun'.

"Shapes, Shapes, Shapes" by Tana Hoban - 'Whenever you are - inside or outside - there are shapes to discover.'

$Picture$

0 Comments

THE BINDING FORCE OF RINGS - Tolkien exhibition

5/31/2018

0 Comments

All encompassing circle

Rings, or Circles, bind everything within as one. It is the nature the circle to encompass, hold and support whatever is contained within it, like a bowl. All geometric shapes are constructed with their corners touching the Circle from which they originate and are maintained. Indeed, all forms of existence shaped by geometric principles are contained within the circular vessel of reality.

THE GRID OF TIME

THE SUN is active, radiating out light that contains colours. We are made of light, we reflect light so that others might see us, light sustains us, colours provide vibrance and meaning to our life. Our inner 'light' radiates out to illuminate us and provide us with strength.

Light, and the fire creating it, have been revered for many generations. Coming together in a Circle we share a special moment that binds us together as a group and, ultimately, as part of the One Circle. Fire was frequently placed in the Centre, or another important item, or person, that was central to holding the Circle together. When removed the Circle dissolves away.

TIME is the abstract feature of reality give form by the circle. Binding all time within the eternal, vast circle on the perimeter that is centred around the immediate moment of the central Point. It is the Point that provides an axis around which all circles of every duration can rotate, like a wheel. The minute, hour, year, eon...eternity; every cycle revolves around the elusive, immediate moment.

THE INTENT and nature of the Centre radiates out in all directions, as light does. So if it is negative, or "rotten at the core", this also spreads outwards. Much like the inner Circles around a source of dark power when corrupted will influence outer Circles to eventually affect the whole community revolving around this source. Light and love will permeate the Circle, so whenever you are central to a Circle radiate out positive, loving intent.

For more on the characteristics of Circles and other geometric shapes please refer to my books in The Gateway Series.

The Lord of the Rings

The famous Bodlaien libraries in Oxford, UK, are holding a major exhibition of JRR Tolkien's work from the 1st June 2018, including his illustrations, poems, letters and personal items. As a fan of The Hobbit and The Lord of the Rings books, which I have read several times, I am looking forward to gaining an insight into the creative process of this gifted author. The binding power of rings and the significance of the intent of the ring bearers, being destructive dark or healing, loving light, are central to the success these epic stories.

from the Bodlaien libraries website

0 Comments

Crystal Grids and Alchemical Art - fusing sacred geometry, light and the Elements

5/11/2018

0 Comments

Alchemical art

Alchemical Art is transformative, changing anyone who works with them. This can happen merely by looking at the artwork or being in its proximity. Each piece is contained within the sacred space of its boundaries and is a fusion of the dynamics of geometric forms, emotive colours and one or more of the Classical Elements. The latter may be symbolically represented in the image or made out of specific materials due to their symbolism or vibration. In this instance crystals were placed on four paintings of my alchemical art paintings to incorporate their qualities. The results were stunning to look at and to work with. It would have been interesting to add further Elements, such as bowls of water and burning essence for air and fire, and also to use sound to activate them.

Each of the alchemical art crystal grids were made by some participants of a crystal group run by Karin Bain. Karin has written an e-book called Networking With Crystals that will soon be available in paper form as well.

Crystal Grids

Crystal grids take many forms, they can be simple, intricate or complete. Invariably there is sacred geometry in their layout and so they are actually a yantra, or "thought form", the principle of all man-made sacred geometry artworks and structures. By adding the vibrations of specific crystals the crystal grid yantra becomes a pulsating vehicle for connecting your Mind to the underlying basis of reality. The effects are very personal.

Yantras are covered in detail in The Gateway Series books and I also recommend the book Yantra by Madhu Khanna.

Any sacred site using sacred geometry and specific earth materials brings additional vibrational qualities to their function and use. For example, Stonehenge and its bluestone rocks that were deliberately brought a great distance for their vibrational purposes. In the aerial image below notice how the central stone grid is enclosed within a larger Circle. It is part of a larger site that has several smaller yantra that all work together. This sacred structure is a huge crystal yantra that still has the capacity to draw thousands of people to it.

Aerial view of Stonehenge (Google Earth)

0 Comments

Bio-Architecture - living structures

1/18/2018

The concept of Bio-Architecture emerged from Roger Green's 'International Sacred Geometry and Ecology' conferences. It is a term coined by Dan Winter who inspired many architects to use the geometry seen in nature's creations and integrate it into 'living' architecture. These principles are also incorporated into other environmental designs such as the Bloom the Desert projects.

Beautiful examples of bio-architecture can be found at Michael Rice’s website. Mike is considered to be the leading bio-architect and has completed over 400 projects, including houses, meditation huts and community spaces. He is an award winning architect and member of the Royal Institute of Architects of Ireland. His stunning buildings blend nature, humanity and space. And are constructed using sacred geometry, designs of nature and feng shui. Naturally, ecology and the materials also are an important elements of the structures.

'Dreamfield' by bio-architect Mike Rice

Mike approaches his designs with the intent that everything is alive, interconnected and conscious. In essence a building is a living form! Being within such structures is invigorating, life sustaining, up-lifting....life enhancing.

Bio-Architecture conferences have been held in Budapest (2007) and South America. As a general theme, the merging of nature and man in designs is increasingly significant.

The East Garden - En-Plein Windsor 2017

7/24/2017

It was a unique experience painting with acrylics in torrential rain showers during this year's En-Plein in Windsor. As painting en-plein is a rare experience for me I took improvised rain cover, which was not sufficient for the heavy rain and wind. Regulars had an array of quite amazing kit that kept them dry, such as an umbrella with a zip-on sheet to make a cosy shelter.

My painting was literally washed off twice, as I battled to dry it in-between each downpour. So instead I did a high speed pen drawing but it got to the point that my hands were so cold they were shaking. Another shower and more wind send me packing to the welcome shelter of Windsor town centre. My resulting piece is not polished but I like the ghostly image of a smaller shadowed castle within the larger drawing. At the beginning, in the sunshine, I was going to do a smaller castle with its windows and more of the formal east garden, but soon realised I wasn't going to have sufficient time outside to complete so much detail.

The East Garden by Karen L French

It is a rare privilege to be able to go into the east gardens of Windsor Castle. These are the Queen's private gardens where she walks her corgis. A dog bowl of water by the stairs was a reminder of this. I chose to paint in these gardens because of the formal geometry used in their design.

These three images are (left to right): Canvas ready to go, my view through scaffolding, stock image of the east gardens.

These pictures are my washed off painting on the left to which I added some colour.

This year all the entrants' paintings were displayed under cover in the Windsor shopping area by the station. A line of easels ran along the shop front windows and made a very interesting display. Many people had a close look and voted on their favourite painting.

Overall a throughly enjoyable day as it was artistically challenging and sociable.

Art as an Embodiment of the Universe - the Circle, Square and Triangle

7/18/2017

0 Comments

Archetypal symbolism using a variety of geometric shapes is ancient, stretching back to the dawn of man's earliest artworks as seen in petroglyphs around the world. Our ancestors’ simple drawings on rocks and artefacts gave tangible form to the harmonious patterns of life and the intangible order uniting the Universe. They give 'form to the formless' and are abstract expressions of the science manifesting reality.

Zen calligraphy is viewed as depicting ‘pictures of the Mind’ and your degree of enlightenment is seen expressed in the flow of the ink. The renowned calligrapher Sengai (1750–1837) produced a vast number of works. Perhaps the most famous Zen painting in the world, comprising only a square, triangle and circle, he saw as the embodiment of the Universe. The 3 forms overlap a little, suggesting their interconnectivity.

Ueshiba Morihei (founder of aikido):
“The body should be triangular, the mind circular. The triangle represents the generation of energy and is the most stable physical posture. The circle symbolizes serenity and perfection, the source of unlimited techniques. The square stands for solidity, the basis of applied control.”

Down the generations all cultures have used simple shapes such as these and they, like Zen artists, had the same profound understanding that the simple patterns shaping the Universe were themselves sacred and empowered. Other examples, used extensively in my books, are yantras and mandalas. Tantra Yoga is the path of union with the Absolute through geometric visualization in Tantric Hindu and Buddhist traditions. Central to Tantrism are elaborate and precise geometric patterns, known as mandalas or yantras, some of which are thousands of years old. In this tradition the triangle, circle and square were significant Vedic forms which symbolised spirituality, evolution and the Earth respectively. Additionally in both Indian and Japanese esoteric teachings, such as Mikkyo, these shapes represent earth (square), water (circle) and fire (triangle).

Simple shapes embodying intricate complexity, the circle, square and triangle structure and bind the 3 profound concepts of time (evolution: Mind, serenity and perfection:water), space (Earth:Body:earth) and being (spirituality:solidity and applied control:fire). The empty circle, the vessel for all geometry shapes, when totally empty is the essence of enlightenment.

Here is my version of these timeless concepts:

'Circle, Square, Triangle' by Karen L French

0 Comments

Geometric Art Forms Within Music - the MusicMadeVisible app

1/18/2017

1 Comment

MusicMadeVisible app Music has always been associated with cymatics, the geometry within sound waves, and there are many examples where cymatic imagery is used as a visual, dynamic art form complementing the originating sounds. It is VERY exciting that John Stuart Reid, inventor of the CymaScope, has launched MusicMadeVisible. It is an app that allows anyone to capture the dynamic geometry of their musical creations, or recorded sounds such nature and even their our own voice! It is a brilliantly accessible way to harness the power of the cymascope and the apps potential for creating art forms is limitless.

Here are examples of the cymatics of two very different types of music - Pink Floyd's 'Welcome to the Machine' and dulcet tones of 'Clair de Lune':

'When Trinity Episcopal Cathedral, in Portland, Oregon, decided to sponsor an art installation they chose a collaborative design by artist, Shelley Socolofsky and John Stuart Reid of CymaScope.com. The theme set by the cathedral was that the piece should connect light and dark and be a "new and experimental art form and media that cannot be hung on walls nor placed on pedestals”. (2015)'

Cymatics, the study of waves in physics, was a term coined by Hans Jenny (1904-1972). Prior to this in 1680 Robert Hook noticed geometric vibrations when running a bow along the edge of glass covered with flour. Early technology used to study the nodal waves was the Chladni Plate, developed by German musician and physicist Ernst Chladni (1756-1827). Now computers facilitate exceptional tools, such as the CymaScope created by John Stuart Reid (see his presentation below).

Sound waves travel from their point origin as a sphere so the images captured by humans are but a thin two-dimensional slice of a three-dimensional 'living' form.

In 'The Hidden Geometry of Life' I cover the nature and purpose of sound as a vehicle for carrying the geometric code. Sound has profound purposes that we are only just starting to understand and apply.

Chladni Plate vibrating to reveal geometric waves

Symmetry in vibrating fluid

Stunningly beautiful geometric patterns lie within the undulating waves of sound emanating from a pinpoint source of origin. Symmetric patterns such as theses are seen in the creations of Nature and are echoed in the sounds we create, such as heartbeat and musical creations. Waves of sound pass through and are absorbed by everything they come into contact with. They impact and travel through our bodies and enter our brains via our ears. All sounds affect us physically, emotionally and psychologically.

1 Comment

Connecting children to to their world - the language of shapes

Books on geometric shapes for young readers

THE BINDING FORCE OF RINGS - Tolkien exhibition

All encompassing circle

The Lord of the Rings

Crystal Grids and Alchemical Art - fusing sacred geometry, light and the Elements

Alchemical art

Crystal Grids

Bio-Architecture - living structures

The East Garden - En-Plein Windsor 2017

Art as an Embodiment of the Universe - the Circle, Square and Triangle

Geometric Art Forms Within Music - the MusicMadeVisible app

Author

Archives

Categories