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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.'  
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Spring flowersWhere better to see sacred geometry, colour, the Elements and pure creative intent - the components of alchemical art - than in Nature. Spring flowers provide us with a feast for our senses and overtly display the use of sacred geometry and colour to perfection. As living yantras they can be used for meditation and reflection. And it is not surprising that we have given flowers additional symbolic meanings, then presented as gifts to convey these meanings in an intimate and personal way. Personally I could look at flowers for hours as they are fascinating as well as beautiful - within them we can find all the rules of the geometric blueprint, colour combinations reflecting harmonious musical notes, pattern making, fractals, stimulating scents...and so much more. But mostly because it is such a pleasant experience to be with flowers. It came to me to do this post while wandering through my garden, enjoying the spring flowers and taking the photographs below. Until using them in a gallery I hadn't realised how all except one (the red one at the end) include the colours purple, yellow and white. Something I will reflect on... Keith Critchlow's -sacred geometry of flowersKeith Critchlow's book "The Hidden Geometry of Flowers - Living rhythms, form and number" is a masterpiece of work examining the sacred geometry within flowers and also flowers as the original source of human life. To hear more listen to his presentation on the youtube video below.  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.
 '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.
Phyllotaxis is the arrangement of leaves around a stem. When these patterns use one more spirals, as shown, the results are stunning. Yet all leaf growth patterns are incredible as plans have evolved to ensure that every leaf is touched by the sun's rays, minimising shadows and maximising space. Water collection is optimised as it flows down to the plant's roots. In Costa Rica they have designed an orchard using the principles of sacred geometry. Trees are planted on a spiral formation around a central core, mimicking the plants own growth patterns 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':
Some fun and fascinating examples of the circle and sphere occurring naturally in nature.
 Rotating ice discs
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Gateway to the Heavens Do you realise you actually shape your destiny and shapes influence your destiny. If you want to understand how this works ask Karen to give a talk about it or read her excellent book. You may have hated even the mention of geometry at school, but Karen's simple and illustrated explanations will give you a real insight into this fascinating topic. |
The Hidden Geometry of Life The attentive audience was enthralled by Karen's introduction to the principals of this truly multi-dimensional topic ... The energy in the room, by the end of the evening, was well and truly charged! |