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This article's does not adequately key points of its contents. Please consider expanding the lead to of all important aspects of the article. Please discuss this issue on the article's. (September 2009) Interactive geometry software (IGS) or dynamic geometry environments (DGEs) are which allow one to create and then manipulate constructions, primarily in. In most IGS, one starts construction by putting a few points and using them to define new objects such as, or other points. After some construction is done, one can move the points one started with and see how the construction changes. This section needs expansion.
You can help. (November 2013) Archimedes Geo3D [ ] Cabri 3D [ ] Calques 3D [ ] is a 3D dynamic geometry software, written with the. The last release (version 2.5) dates from 2008 but the software is still working in all current versions of Windows. Euler 3D [ ] Euler 3D is a program that allows you to create and manipulate your own polyhedrons. It has a number of facilities: transformations, animations, creating duals, import/export VRML, etc.
Free registration required. GeoGebra 5 [ ] Since version 5.0 (and beta release 4.9) GeoGebra comprises a full 3D mode as well and plane section of it can also be viewed and manipulated in the traditional 2D interface. Geometria [ ] is free () cross-platform software based on a two-role (teacher, student) model. The teacher creates a problem, provides it with an answer and saves the problem in a file. The student opens the file and solves the problem. The student's actions are recorded.
The teacher plays back the solution and grades it. The figures are limited to convex polyhedra, which can be measured, drawn upon, transformed, cut and joined.
Geomview [ ] GEUP 3D [ ] PyGeo [ ] JavaView [ ] is a 3D geometry viewer and a mathematical visualization software. You can explore miscellaneous 3D models with it. SingSurf [ ] Based on JavaView, this program can calculate and draw singular algebraic curves and surfaces.
Sterizium [ ] is freeware stereometry viewer application for the development of spatial thinking. • Kinect sensor support. Vectory [ ] is a freeware specifically developed for school students. This program visualizes primitive geometry, like points, lines, planes and spheres. Further features like intersections, distance calculation and parametrizing the inputs are available. Continuity versus determinism [ ] All these programs can be divided into two category: deterministic and continuous.
GeoGebra can be deterministic or continuous (one can change it in preferences). All constructions in the deterministic programs (GSP, Cabri, Kseg and most of others) are completely determined by the given points but the result of some constructions can jump or behave unexpectedly when a given point is moved. On the contrary, some constructions in continuous programs (so far only Cinderella and GeoGebra), depend on the number of hidden parameters and in such a way that moving a given point produces a continuous motion of the construction, as a result, if the point is moved back to the original position the result of construction might be different. Here is a test to check whether a particular program is continuous: Construct the of triangle and three midpoints (say A', B' C' ) between vertices and orthocenter.
Construct a of A'B'C'. This is the, it intersects each side of the original triangle at two points: the base of altitude and midpoint.
Construct an intersection of one side with the circle at midpoint now move opposite vertex of the original triangle, if the constructed point does not move when base of altitude moves through it that probably means that your program is continuous. Although it is possible to make a deterministic program which behaves continuously in this and similar simple examples, in general it can be proved that no program can be continuous and deterministic at the same time. See also [ ] • • • References [ ]. • Schwartz; Yerushalmy and Wilson (1993).
The Geometric Supposer: What is it a Case of? Hillsdale, NJ: Lawrence Erlbaum Associates. • Battista, M.T. 'The Development of Geometric and Spatial Thinking'. In Lester, Jr., F.K. Second Handbook of Research on Mathematics Teaching and Learning. Charlotte, NC: Information Age and the National Council of Teachers of Mathematics.
Archived from on 2008-04-09. Retrieved 2008-03-01. • • • • • • • • • Kortenkamp, Ulrich (1999): Foundations of Dynamic Geometry, Dissertation, ETH Zurich 1999. Available online at External links [ ] •.