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English: Sphere wireframe - perspective projection of a sphere. The image shows lines, which are drawn as they were painted onto the surface of a sphere. viewer distance from center: 6r line distance: 10° line width: 1° axial tilt: 37.5° rotation: 7.5° base color: #22326b
English: Sphere wireframe - orthogonal projection of a sphere. The image shows lines, which are drawn as they were painted onto the surface of a sphere. The angular distance between two lines is 10°. The SVG file is created by the below C++-program, which calculates each edge of a line as an ellipse-bow.
2-sphere wireframe as an orthogonal projection Just as a stereographic projection can project a sphere's surface to a plane, it can also project a 3-sphere into 3-space. This image shows three coordinate directions projected to 3-space: parallels (red), meridians (blue), and hypermeridians (green).
Sphere wireframe: Image title: Sphere wireframe depicted with perspective projection viewer distance from center: 10r line distancd: 10° line width: 2° axial tilt: 37.5° rotation: 7.5° base color: #22326b plotted with several adapted cubic bezier-curves The plotcurves were calculated by some fancy python code.
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Wireframe Projective symmetry [2] [2] [2] [2] [6] [10] Dual image Spherical tiling ... Straight lines on the sphere are projected as circular arcs on the plane.
Koons’ adaptation, meanwhile, incorporates his signature reflective sphere, inviting viewers to see themselves within the work. This interactive quality is central to Koons’ philosophy.
English: Sphere filled_blue - orthhogonal projection of a sphere. The image shows lines, which are drawn as they were painted onto the surface of a filled sphere. The distance between two lines is 10°. The svg file is derived from Sphere wireframe. The inside of the sphere is filled with blue and a white lightspot. The axis tilt is 52.5°.