3D is used by the interactive media and computer games industries to show far more detailed visuals than is achievable with 2D visuals.
Games
3D in games helps add a whole extra dimension of play and detail compared to 2D games.
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TV
TV programs using 3D gives an interesting comparison to the usual 2D cartoons and such.
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Film
3D films are rather popular at the moment for similar reasons to the TV programs.
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Education
3D in education can help to better visualise the information.
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Web
3D on the web is a nifty way to make your stuff stand out.
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Medicine
3D can be used as either a visualisation aid or more recently, for making medicine, prosthesis and more.
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Mathematics
3D shapes are a important part of mathematics, so they are obviously used there.
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Engineering
3D in engineering lets you visualise the parts you will be working with before you even get/make them.
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Architecture
3D in architecture lets you see what the building will look like, letting you change anything that isn't quite right.
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Product design
3D in product design lets you check that the product looks how you want.
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Geometric theory
Vertices
Vertices are the singular co-ordinates in space. A minimum of 2 is required to create an edge.
Edges
Edges are the lines that make up the edges of a face. A minimum of 3 Edges is needed to make a face.
Faces
Faces are the flat parts of a 3D shape.
Polygons (Tris/Quads)
Polygons are the basic 2d shapes that make up the surface of a 3D model.
Meshes
Primitives
Primitives are the most basic 3D shapes (spheres, cylinders, cubes, etc.)
Wire-frame
Co-odinates
Rigging
Rigging is the addition of bones to a 3D model to allow easier/better animation.
Skinning
Bones
Vertex groups
Mesh construction
Navigating blender
Primitive modelling
Box Modelling
Extrusion modelling
Location, Rotation, Scale
Modifiers
Materials
Rigging, Skinning and Animating
Displaying 3D animations
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