Any space within a dilation can be a new dilation or “fractal” or “iteration” or “child” copy of the original like a holograph.

Any space within a dilation can be a new dilation or “fractal” or “iteration” or “child” copy of the original like a holograph.

I’ve read that this cuneiform tablet is an instructional for scribes. It is thought to be 3,700 years old. Graphic designers have been around for awhile.

“While the tangram is often said to be ancient, the earliest known printed reference to tangrams appears in a Chinese book dated 1813, which was probably written during the reign of the Jiaqing Emperor.[1]” The dilation inscribed lower right in the clay tablet above could easily have produced the geometry of a tangram.
Before the grid there was dilation and after the grid there will be dilation. The postmodern, if it ever arrives, will look much like the pre-modern, because the grid, the metric of some long dead king’s arm, is completely irrelevant to how space organizes it’s self, this realization combined with the fact that tension structures deploy material more efficiently than compression ones can, will drive our going “back to the future.” The realization that space can be self metric is the missing link between where we have been lately and where we are going. Design efficiency.
Problematically, I thought all spirals looked fairly well beautiful, not just our “golden” one. The divinely favoured one’s beauty seemed to be emanating more from other people than my own experience and searching for an ugly spiral proved fruitless. Another concern regarding “good design” and Phi is that designers who never employ the divine strategy still achieve “good” results. How so? <!–more–>
For a designer, they are a dream come true.
A dilation can be assigned any proportion and this won’t change internal metrics.
By internal metrics, I mean the # of units, regardless of proportion, remain constant and each unit ( except 1/2 in this case ) will tile to fill the entire space. What this means is you won’t see a grid unless you want or need to. When using this strategy grids become secondary as most needs are satisfied by finding points on the Z axis rather the x, and y, axis. Another way of thinking about this is to imagine that your grid will scale to your work.
Think SVG ( scalable vector graphics ) or grid “squares” that stretch to fit the given task. Within such an environment, because there is always an harmonic spiral, proportions can’t be lost. More…