art-works, objects, geometry, math, design architecture.

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All there Erin O’Keefe

studio experiments

Budapest Deep DownTamás Bujnovszky

"Constructing the concrete structure of the Fővám square metro station in Budapest by sporaarchitects. The concrete structure of the criss-crossing beams let through the natural light down into the deep creating a metaphysical atmosphere among the sequencing layers. Instead of focusing on the primer architecture, the series shows how the light reaches the deep and how the lines become forms. In the starting image only the dense material is visible but from picture to picture the graphical lines create more and more complex spaces. Also, the black and white tones become stronger through the series displaying the concept in a classical way.”

Golden Hexagon and OctogonA drawing in my moleskine about geometry and the golden ratio. It’s very rough and I don’t use the normal symbol for phi but I really like those drawings. I just asked myself if they were possibly other golden polygons than the golden triangle and rectangle, so I first tried to find a kind of golden pentagon which was really hard. Mainly because I hadn’t any definition of what’s a golden polygon.

My definition is that their sides must be 1 or phi (1.618) and that you can draw another exact same polygon into itself where its sides of phi become sides of 1 and its sides of 1 become sides of phi minus 1. The haunt of measurement being each time the last drawn polygon.

It is a very imperfect definition simply based on observations of golden triangle and rectangle. Note that we usually draw each new polygons touching a next corner of the original polygon to be able to draw a spiral based on it (which tend to be “flater” while the number of sides of the polygon increase).

Another things it’s that golden polygons of odd number of sides are non-regular since it is impossible for them to be. But golden polygons of even number of sides can be either regular or non-regular (indeed the golden rectangle could be as well a golden parallelogram).

So, it is very simple to find the golden hexagon or octogon or any other golden polygons of even number of sides, but it keeps being really interesting because as you’re drawing it there’s a lot of beautiful geometrical properties which are appearing, prooving that it definitely has something particular.