The Official M.C. Escher Website. Fluid Polygons and Polyhedra. Figure 1. Figure 2. Figure 3. Figure 4. Figure 5. When a vertical water jet strikes a circular horizontal impactor, the water is deflected into a horizontal sheet. This series of photos appears in Buckingham & Bush (2001, Phys. [Home] - [Research Interests] - [Fluid Polygons] Height of the Tri. Pyramid and base radius. Geometry, Surfaces, Curves, Polyhedra. The following is a random collection of various topics in geometry the author has explored or simply documented over the years. Many of the topics include source code illustrating how to solve various geometric problems, or to assist others recreating the geometric forms presented.
Notes on polygons and meshes Includes Surface (polygon) simplification, Clipping a polygonal facet with an arbitrary plane, Surface Relaxation and Smoothing of polygonal data, Mesh crumpling, splitting polygons, two sided facets, polygon types, tests for clockwise and concavity, clipping line to polygons, area of a 3D polygon, area of general polygons, determining inside/outside test, intersection of a line and a facet, Eulers numbers. Notes on points, lines and planes Includes calculations for the distance between points, lines and planes.
The intersection between 2 lines in 2D and 3D, the intersection of a line with a plane. The intersection of two and three planes. Texture library There are holes in the sky. GRAFICA Obscura. Grid Paper PDFs. Downloadable and very printable, I find these PDFs extremely useful. Graph Paper Quick Picks Now set to: 8 1/2 x 11 Paper. Ruled in Inches. Now set to: A4 Paper, Ruled in Millimeters. Custom Graph Papers Need more specific stuff? Tip number one! Though I do return the correct header for a PDF, sometimes Explorer gets confused when downloading... Tip number two! Some people may need to turn off the option in Adobe's Acrobat reader "shrink to fit" which may resize the grid slightly to fit your printer's printable area. Tip number three! If you want the hexes aligned with the other edge of the paper, just make your paper size "11 x 8.5" and print the result in landscape mode!
Translations Belorussian (provided by Ucallweconn weblog) Other.