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STAGE VIII: Inflection point (Deconcave)

Separate parts that are assembled to a whole are like single words, which only make sense when they are put together. Basically, any technical drawing is due to just three types of lines. It is the combination of straight, concave and convex lines. It therefore all depends on the way how to combine them without losing the thread or, in this case, the line. The convex exterior of a dome is inconceivable in its full form, but once inside, the entire body becomes visible at a single view in time. The alternating play of concave and convex shapes characterizes the analogy of the inside and outside.

The turning point that separates the concavity and convexity is the “inflection point”. It is the point where the tangent cuts the curve and the supposed interior changes to the exterior. At these points, it is possible to differentiate between different parts without interrupting the continuity and course of the curvature.

This infinite variety of shapes characterizes a landscape of highs and lows, articulating this duality with seamless transitions. The evolving composition only gets its expression through movement. The course of the curvatures opens new spaces and completes others, resulting in a sequence that represents a geometric diversity without being geometrically complicated. The fragments are linked to a sequential spatial complex that underlines the unit-whole relationship in the process of crystallization.

freeform surface structure of convex and concave shapes

freeform surface structure of convex and concave shapes

individual parts describing a multitude of complex forms

individual parts describing a multitude of complex forms

modular blob architecture

modular blob architecture

modular spherical space systems

modular spherical space systems

duality of convexity and concavity

duality of convexity and concavity

3D print in silver metallic on a triangle

3D print in silver metallic on a triangle

3D print in silver metallic on concrete

3D print in silver metallic on concrete