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There are three main types of computer environments for studying school geometry: supposers [vague], dynamic geometry environments (DGEs) and Logo-based programs. [2] Most are DGEs: software that allows the user to manipulate ("drag") the geometric object into different shapes or positions.
GeoGebra can store variables for numbers, vectors and points, calculate derivatives and integrals of functions, and has a full complement of commands like Root or Extremum. Teachers and students can use GeoGebra as an aid in formulating and proving geometric conjectures. GeoGebra's main features are: Interactive geometry environment (2D and 3D)
A two-dimensional representation of the Klein bottle immersed in three-dimensional space. In mathematics, the Klein bottle (/ ˈ k l aɪ n /) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down.
A 3D selfie in 1:20 scale printed by Shapeways using gypsum-based printing, created by Madurodam miniature park from 2D pictures taken at its Fantasitron photo booth 3D models are generated from 2D pictures taken at the Fantasitron 3D photo booth at Madurodam. Generating and reconstructing 3D shapes from single or multi-view depth maps or ...
If you expand an icosidodecahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and patch the square holes in the result, you get a rhombicosidodecahedron.
PGF/TikZ is a pair of languages for producing vector graphics (e.g., technical illustrations and drawings) from a geometric/algebraic description, with standard features including the drawing of points, lines, arrows, paths, circles, ellipses and polygons.
GeoGebra's image export dialog. Note that this dialog may be missing as of GeoGebra version 6. GeoGebra is a dynamic geometry program that can be used to create geometric objects free-hand using compass-and-ruler tools. It can also be used to plot implicit curves, parametric curves, and loci of points.
Loft is a method to create complicated smooth 3D shapes in CAD and other 3D modeling software. Planar cross-sections of the desired shape are defined at chosen locations. Algorithms find a smooth 3D shape that fit these cross-sections. Designers can modify the shape through choice of fitting algorithm and input parameters.