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In mathematics, a hidden line is a geometric edge line [1] that is not visible from an observer's view of a shape or object. Cubes with hidden lines: dotted, dashed, and thin lines. Cubes with no hidden lines, and a cube with dotted lines to give 3 dimensional reference. A common practice is to draw the visible edges as solid lines and the ...
The regular complex polytope 4 {4} 2, , in has a real representation as a tesseract or 4-4 duoprism in 4-dimensional space. 4 {4} 2 has 16 vertices, and 8 4-edges. Its symmetry is 4 [4] 2, order 32. It also has a lower symmetry construction, , or 4 {}× 4 {}, with symmetry 4 [2] 4, order 16. This is the symmetry if the red and blue 4-edges are ...
Type E lines indicate hidden outlines of internal features of an object. These are dotted lines. 2H pencil; Type F lines are Type E lines, except these are used for drawings in electrotechnology. 2H pencil; Type G lines are used for centre lines. These are dotted lines, but a long line of 10–20 mm, then a 1 mm gap, then a small line of 2 mm ...
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.
Hidden-surface algorithms can be used for hidden-line removal, but not the other way around. Reif and Sen [ 17 ] proposed an O (log 4 n )-time algorithm for the hidden-surface problem, using O (( n + v )/log n ) CREW PRAM processors for a restricted model of polyhedral terrains, where v is the output size.
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The tesseract is one of 6 convex regular 4-polytopes. In mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope.They are the four-dimensional analogues of the regular polyhedra in three dimensions and the regular polygons in two dimensions.