oft component runs 360 degrees, but mine leaves a gap (in the photo below) between the last two curves. I haven't found anything different between mine and his definitions. Does anyone know why this is? I'm sure it's some stupid newbie mistake, but I can't figure out how to get it to complete the loft. The closed loft option did not work. Thanks!!
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he circle is being divided into 5 but your building only has 4 sides so one of the divisions is lost. This video explains:
https://www.youtube.com/watch?v=3rCgP0zSiPY&index=6&list=PLruLh1AdY-SgW4uDtNSMLeiUmA8YXEHT_
-Chris…
mal mapping.
Most of the vertices in the original mesh are surrounded by 6 triangles, but there are a few special vertices that are surrounded by 5 or 7. These special points strongly affect the behaviour of the mesh, and when one of the constrained points is moved out of plane they cause it to buckle in a particular way (because clearly 5 equilateral triangles will not fit around a point when in the plane - 60*5 < 360).
The amount by which the sum of the angles around a vertex differs from 2*PI (360°) is a discrete version of Gaussian curvature.
If the equilateralization were the only force acting, then all the discrete curvature of the mesh would be concentrated at the special points, but a Laplacian smoothing force spreads the discrete curvature out from these special nodes.
The relative strengths of these forces are adjustable, and you can see when smoothing is low and equilateralization is high, the triangles become closer and closer to identical and equilateral, but they have to crumple to enable this, whereas when smoothing is high and equilateralization is low, the mesh becomes very smooth, but the triangles differ more in size and angle.…