Archive for September 2008

Geometry

September 25, 2008

Ok I know I said I would look into colour inversion some more but I just had too many thoughts, ideas and avenues that I also wanted to look into. They all relate to the use of shapes, space and composition in one way or another. The one at the forefront of all this is geometry and then closely behind this follows symmetry.

So…I think I will make categories of all the subjects/areas and then add to each whenever I come across something of relevance for each.

Now back to geometry. A quick definition from wikipedia:

Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the third century B.C., geometry was put into an axiomatic form by Euclid, whose treatment – Euclidean geometry – set a standard for many centuries to follow. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere, served as an important source of geometric problems during the next one and a half millennia.

http://en.wikipedia.org/wiki/Geometry

Ok so we can see there are actually different types of geometry too – but we’ll have to come back to this later. Now for a definition from Dictionary.com:

–noun, plural ‑tries.

  1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties of space.
  2. any specific system of this that operates in accordance with a specific set of assumptions: Euclidean geometry.
  3. the study of this branch of mathematics.
  4. a book on this study, esp. a textbook.
  5. the shape or form of a surface or solid.
  6. a design or arrangement of objects in simple rectilinear or curvilinear form.

http://dictionary.reference.com/browse/geometry

It seems to me there’s more involved in geometry than I originally thought. It’s not just about fitting shapes together to make them look pretty – Ok I knew there was some maths involved too, calculating angles – making sure that the outcome could be continued for eternity using tiling and rotated symmetry. So my next step is to look into this further. Find out where this study of lines, shapes, depths and space came from and why it links to astronomy and even spirituality! Looks like I’ve given myself even more homework to do!

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