Euclidean geometry is an system, in which all true statements are derived from a finite number of axioms. Five axioms that Euclid suggests is:
- Any two points can be joined by a straight line.
- Any straight line segment can be extended indefinitely in a straight line.
- Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.
- All right angles are congruent.
- Parallel Postulate If two lines intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.
In fractal geometry, the fractal dimension is a statistical quantity that gives an indication of how completely a fractal appears to fill space, as one zooms down to finer and finer scales. This relates to the power of ten because of how much more or less fills within each scale. We zoom out and it may seem we see more, but in truth we do not see the finer detail that makes up the overall picture, because as we zoom in on a plant we see more and more from the leaves to the stem to the cells.
As you zoom in closer and closer the focus changes, objects that were once in the middle ground become the background and objects that were in the foreground become the centre of focus, taking up the majority of the viewers concentration, allowing the photographer to direct the audiences attention wherever the want it to lead.
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