Complex Geometry

Off course not all modern-day products are build up from basic geometry. Some are axi-symmetrical. Others are just symmetrical in one direction and others are completely asymmetrical Those objects are free-form-objects. In order to create these free-form objects we still need to use basic geometry as a construction guideline.

Sometimes it’s really difficult and time-consuming to draw freeform-object without some help our friend Mr computer. With a simple CAD-program we can construct a simple bounding box. Divide this bounding box in cubes and search for the right viewpoint. Once found. Print out the grid and start drawing. It’s fairly easy to create a axi-symmetrical shape. Define a profile curve In one of the Mid-section planes of the bounding box. You can also define this profile curve first on a piece of paper in a side-or top view of the grid. Create the corresponding squares and ellipses where the profile curve intersects with the grid corresponding to the chosen plane.

Once all the ellipses. are constructed connect the quadrants with eacht other. These define the other profile curves in the top and vertical plane of the bounding box.

Finish the drawing by connecting the maxima of the ellipses with another set of profile curves. Highlight the visible edges and some section curves to make the drawing more readable.

In the same way more complex non asymmetrical shapes can be created. Construct some freeform shapes by playing with profile (contour) curves and section curves. After construction is completed you can add some more details using the defined shape and grid.

If you do not know how to make a divided bounding box with CAD-software. Here’s some to get you started: 01 / 02

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