In this sculpture, the beam has a rectangular cross section, which varies smoothly in size as you follow the curve. Closer to the center the rectangle is smaller, while further away it clearly looks like a thick strip. That strip has two distinct sides; in other words, it has no MΓΆbius twist. The path is a simple loop that is not knotted. This twisty curve offers a surprising range of very different views. Do manipulate the 3D model.

Curves

Polylines have abrupt, often sharp corners as they trace out a circuit. These paths do not flow, they jerk. To smooth a polyline path into a flowing curve, Bakker uses what mathematicians call spline interpolation. This is a bit like fitting a thin springy strip of steel around a set of pegs to form a curved path that touches each peg.

Cubic functions (the simplest is y = x3) have curvy, S-shaped graphs. They have the remarkable property that, given four points (not all on a line), there is a cubic function whose graph goes through those four points. If the four points are fairly close to each other, the piece of the cubic curve running through them (called a spline) closely approximates line segments that connect the points. Using splines, Bakker can replace each sharp V-shaped corner of a polyline path with a U-shaped curve. The result is a smoothly curvaceous circuit that travels through all the corners of the polyline path.

The curved loop that results from smoothing a polyline circuit in space is merely a skeleton doodle with no thickness and no body. This must be provided by the artist. A simple thickening coats the curve so it has a uniformly shaped cross-section such as a circle (which produces a tube covering), a square, or triangle. The width and thickness of the curveβs covering can be varied for aesthetic reasons. This can suggest a change of speed and spread as the curve flows, much like water flowing in a creek that meanders through changing terrain.

Alert

Information

You need to be at the location to launch augmented reality. Kindly use directions to find location near you.

Using following form you can contact the art owner directly for any inquiry.