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IT6501 GRAPHICS AND MULTIMEDIA UNIT I CONTENT BEYOND SYLLABUS FIVE DIMENSION The idea of five-dimensional space is an abstraction which occurs frequently in mathematics, where it is a legitimate construct. (In physics and mathematics, a sequence of N numbers can be understood to represent a location in an N-dimensional space.) Whether or not the real universe in which we live is somehow five-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics Five-dimensional geometry Polytopes In five or more dimensions, only three regular polytopes exist. In five dimensions, they are: 1. The 5-simplex of the simplex family, with 6 vertices, 15 edges, 20 faces (each an equilateral triangle), 15 cells (each a regular tetrahedron), and 6 hypercells (each a 5-cell).

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IT6501 GRAPHICS AND MULTIMEDIAUNIT ICONTENT BEYOND SYLLABUSFIVE DIMENSIONThe idea of five-dimensional space is an abstraction which occurs frequently in mathematics, where it is a legitimate construct. (In physics and mathematics, a sequence of N numbers can be understood to represent a location in an N-dimensional space.) Whether or not the real universe in which we live is somehow five-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physicsFive-dimensional geometryPolytopesIn five or more dimensions, only three regular polytopes exist. In five dimensions, they are:1. The 5-simplex of the simplex family, with 6 vertices, 15 edges, 20 faces (each an equilateral triangle), 15 cells (each a regular tetrahedron), and 6 hypercells (each a 5-cell).2. The 5-cube of the hypercube family, with 32 vertices, 80 edges, 80 faces (each a square), 40 cells (each a cube), and 10 hypercells (each a tesseract).3. The 5-orthoplex of the cross polytope family, with 10 vertices, 40 edges, 80 faces (each a triangle), 80 cells (each a tetrahedron), and 32 hypercells (each a 5-cell).A fourth polytope, a demihypercube, can be constructed as an alternation of the 5-cube, and is called a 5-demicube, with half the vertices (16), bounded by alternating 5-cell and 16-cell hypercells.In physics, the fifth dimension is a hypothetical extra dimension beyond the usual three spatial dimensions and one time dimension of Relativity. The KaluzaKlein theory used the fifth dimension to unify gravity with the electromagnetic force. For example, Minkowski space and Maxwell's equations in vacuum can be embedded in a five-dimensional Riemann curvature tensor. KaluzaKlein theory today is seen as essentially a gauge theory, with gauge group the circle group. M-theory suggests that spacetime has 11 dimensions, seven of which are "rolled up" to below the subatomic level. Physicists have speculated that the graviton, a particle thought to carry the force of gravity, may "leak" into the fifth or higher dimensions, which would explain how gravity is significantly weaker than the other three fundamental forces.[citation needed] 1993, the physicist Gerard 't Hooft put forward the holographic principle, which explains that the information about an extra dimension is visible as a curvature in a spacetime with one fewer dimension. For example, holograms are three-dimensional pictures placed on a two-dimensional surface, which gives the image a curvature when the observer moves. Similarly, in general relativity, the fourth dimension is manifested in observable three dimensions as the curvature path of a moving infinitesimal (test) particle. Hooft has speculated that the fifth dimension is really the spacetime fabric.

A perspective projection 3D to 2D of stereographic projection 4D to 3D of Schlegel diagram 5D to 4D of the 5-cube (or penteract)

IT6501 GRAPHICS AND MULTIMEDIAUNIT IICONTENT BEYOND SYLLABUSMOTION GRAPHICSMotion graphics are graphics that use video footage and/or animation technology to create the illusion of motion or rotation, and are usually combined with audio for use in multimedia projects. Motion graphics are usually displayed via electronic media technology, but may be displayed via manual powered technology (e.g. thaumatrope, phenakistoscope, stroboscope, zoetrope, praxinoscope, flip book) as well. The term is useful for distinguishing still graphics from graphics with a transforming appearance over time without over-specifying the formMotion graphics extend beyond the most commonly used methods of frame-by-frame footage and animation. Computers are capable of calculating and randomizing changes in imagery to create the illusion of motion and transformation. Computer animations can use less information space (computer memory) by automatically tweening, a process of rendering the key changes of an image at a specified or calculated time. These key poses or frames are commonly referred to as keyframes or low CP. Adobe Flash uses computer animation tweening as well as frame-by-frame animation and video.Computer-generated motion graphicsThe term motion graphics originated with video editing in computing, perhaps to keep pace with newer technology. Before computers were widely available, motion graphics were costly and time-consuming, limiting their use to high-budget filmmaking and television production. In the late 1980s to mid-1990s, expensive proprietary graphics systems from British-based Quantel was quite commonplace in many television stations. Quantel workstations such as the Hal, Henry, Harry, Mirage and Paintbox were the broadcast graphics standard of the time. With the reduced cost of producing motion graphics on a computer, the discipline has seen more widespread use. With the availability of desktop programs such as Adobe After Effects, Discreet Combustion, and Apple Motion, motion graphics have become increasingly accessible. Modern character generators (CG) from Aston Broadcast Systems and Chyron Corporation's incorporate motion graphics.The term "motion graphics" was popularized by Trish and Chris Meyer's book about the use of Adobe After Effects, titled Creating Motion Graphics. This was the beginning of desktop applications which specialized in video production, but were not editing or 3D programs. These new programs collected together special effects, compositing, and color correction toolsets, and primarily came between edit and 3D in the production process. This "in-between" notion of motion graphics and the resulting style of animation is why sometimes it is referred to as 2.5D.Motion graphics continue to evolve as an art form with the incorporation of sweeping camera paths and 3D elements. Maxon's CINEMA 4D, plugins such as MoGraph and Adobe After Effects. Despite their relative complexity, Autodesk's Maya and 3D Studio Max are widely used for the animation and design of motion graphics, as is Maya and 3D Studio which uses a node-based particle system generator similar to Cinema 4D's Thinking Particles plugin. There are also some other packages in Open Source panorama, which are gaining more features and adepts in order to use in a motion graphics workflow, while Blender integrates several of the functions of its commercial counterparts.Many motion graphics animators learn several 3D graphics packages for use according to each program's strengths. Although many trends in motion graphics tend to be based on a specific software's capabilities, the software is only a tool the broadcast designer uses while bringing the vision to life.Lending heavily from techniques such as the collage or the pastiche, motion graphics has begun to integrate many traditional animation techniques as well, including stop-motion animation, cel animation or a combination of both.