Ruled Surfaces

The following are examples of surface objects constructed from a pair of line objects by creating face edges swept from the line points.

Surface Construction

Projection of a line to a line to construct a surface.../_images/screw_from_lines.png

Line to Filled Line Surface Construction

Ruled surface from the projection of a circle to a circle.../_images/hyperboloid.png

Hyperboloid of Revolution

Inner and outer coloring of a surface constructed from a line to line projection.../_images/fig_8_knot.png

Inner and Outer Surface Coloring

Mobius surface constructed from two edge lines, including multiple twist examples.../_images/mobius_lines.png

Mobius From Lines

Line sequence is demonstrated for line to line surface construction.../_images/conoid_lines.png

Line Sequence Dependent Surfaces

Surface colored from two projected colored segmented lines.../_images/dna_lines.png

Double Helix from Lines

Surface from contour lines from surfaces from lines to line projection.../_images/multi_ops_1.png

Multiple Object Operations

Surface from surface edges to surface edges.../_images/surf_edge2edge.png

Edge to Edge Filled Surface

Composite surface from surface edges filled to two spherical projections.../_images/filled_octa_edges.png

Spherical Edge Filled Surface

Surface from surface edges to surface edges.../_images/surf_edge2edge_2.png

Edge to Edge Filled Surface 2

Filled Surfaces

Surface contour lines are projected to the xy plane to create a surface.../_images/contours_z_filled.png

Vertical Contour Filled Surface

Surface contour lines are spherically projected to the origin to create a surface.../_images/filled_octa_cont.png

Spherical Contour Filled Surface

Surfaces constructed from spherical or cylindrical projections of surface edge lines.../_images/platonic_proj_1.png

Surface Edge Filled Surface

Surface constructed from a cylindrical projection of parametric lines.../_images/dna_lines_proj.png

Helix Line Filled Surfaces

Surface constructed from a spherical projection of image mapped surface contours.../_images/earth_proj.png

Contour Filled Surface

Surface created by projecting a parametric line to a plane.../_images/para_line_surface_1.png

Filled ParametricLine Surface 1

Parametric line surface projections to y-z and x-z planes.../_images/para_line_surface_2.png

Filled ParametricLine Surface 2