Interactive geometry software (IGS) or dynamic geometry environments (DGEs) are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry. In most IGS, one starts construction by putting a few points and using them to define new objects such as lines, circles or other points. After some construction is done, one can move the points one started with and see how the construction changes.
Interactive Software Solutions, LP is a software development company that provides services nationwide. In times when cost cutting is imperative, the sources for quality software development, consulting, and deployment at affordable prices are limited. In computer science, interactive computing refers to software which accepts input from the user as it runs. Interactive software includes commonly used programs, such as word processors or spreadsheet applications.By comparison, non-interactive programs operate without user intervention; examples of these include compilers and batch processing applications that are pre-programmed to run.
History[edit]
The earliest IGS was the Geometric Supposer, which was developed in the early 1980s.[1] This was soon followed by Cabri in 1986 and The Geometer's Sketchpad.
Comparison[edit]
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. The main example of a supposer is the Geometric Supposer, which does not have draggable objects, but allows students to study pre-defined shapes. Nearly all of the following programs are DGEs. For a related, comparative physical example of these algorithms, see Lenart Sphere.
License and platform[edit]
The following table provides a first comparison of the different software according to their licence and platform.
3D Software[edit]
General features[edit]
The following table provides a more detailed comparison :
Macros[edit]
Features related to macro constructions: (TODO)
Loci[edit]
Loci features related to IGS: (TODO)
Proof[edit]
We detail here the proof related features. (TODO)
Measurements and calculation[edit]
Measurement and calculation features related to IGS: (TODO)
Graphics export formats[edit]
Object attributes[edit]
2D programs[edit]C.a.R.[edit]
C.a.R. is a free GPL analog of The Geometer's Sketchpad (GSP), written in Java.
CaRMetal[edit]
CaRMetal is a free GPL software written in Java. Derived from C.a.R., it provides a different user interface.
Cinderella[edit]
Cinderella, written in Java, is very different from The Geometer's Sketchpad. The later version Cinderella.2 also includes a physics simulation engine and a scripting language. Also, it now[when?] supports macros, line segments, calculations, arbitrary functions, plots, etc. Full documentation is available online.
Dr Genius[edit]
Dr Genius was an attempt to merge Dr. Geo and the Genius calculator.
Dr. Geo[edit]
Dr. Geo[1] is a GPL interactive software intended for younger students (7-15). The later version, Dr. Geo II,[3] is a complete rewrite of Dr. Geo, for the Squeak/Smalltalk environment.
GCLC[edit]
GCLC[4] is a dynamic geometry tool for visualizing and teaching geometry, and for producing mathematical illustrations. In GCLC, figures are described rather than drawn. This approach stresses the fact that geometrical constructions are abstract, formal procedures and not figures. A concrete figure can be generated on the basis of the abstract description. There are several output formats, including LaTeX, LaTeX/PStricks, LaTeX/Tikz, SVG and PostScript. There is a built-in geometry theorem prover (based on the area method). GCLC is available for Windows and Linux. WinGCLC is a Windows version of GCLC with a graphical interface that provides a range of additional functionalities.
GeoGebra[edit]
GeoGebra is software that combines geometry, algebra and calculus for mathematics education in schools and universities. It is available free of charge for non-commercial users.[5]
GeoKone.NET[edit]
GeoKone.NET[6] is an interactive recursive natural geometry (or 'sacred geometry') generator that runs in a web browser. GeoKone allows the user to create geometric figures using naturalistic rules of recursive copying, such as the Golden ratio.
Geolog[edit]
Geolog[7] is a logic programming language for finitary geometric logic.
Geometry Expressions[edit]
Geometry Expressions[8] Does symbolic geometry. It uses real symbolic inputs and returns real and symbolic outputs. It emphasises use with a Computer Algebra System (CAS), as well as exporting and sharing via interactive HTML5, Lua, and OS X dashboard widget apps.
The Geometer's Sketchpad[edit]
The Geometer's Sketchpad (GSP)
The Geometric Supposer[edit]
The Geometric Supposer[9]
Géoplan-Géospace[edit]GeoProof[edit]
GeoProof[10] is a free GPL dynamic geometry software, written in OCaml.
GEUP[edit]
GEUP is a more calculus-oriented analog of The Geometer's Sketchpad. Keygen for adobe photoshop cs3.
GRACE[edit]
GRACE (The Graphical Ruler And Compass Editor) is an analog of The Geometer's Sketchpad (GSP), written in Java.
iGeom[edit]
iGeom[2] is freeware interactive geometry software hosted on the Internet for learning and teaching geometry (an analog of GSP and Cabri), written in Java.
Isard[edit]
Isard[11] is an interactive geometry software originally written in Smalltalk. The latest version only works under VisualWorks 7.
Jeometry[edit]
Jeometry is a dynamic geometry applet.
Kig[edit]
Kig is a free (GPL) analog of The Geometer's Sketchpad (GSP) for KDE, but more calculus-oriented. It is a part of the KDE Edutainment Project.
Kgeo[edit]
Kgeo[3] was a free (GPL) analog of The Geometer's Sketchpad (GSP) for KDE, but more calculus-oriented, with an interface similar to Kig's. Development has stopped, and the project was replaced and superseded by Kig.
KmPlot[edit]
KmPlot[4] is a mathematical function plotter released under the free GPL license. Includes a powerful parser and precision printing in correct scale. Simultaneously plot multiple functions and combine function terms to build new functions. Supports functions with parameters and functions in polar coordinates. Several grid modes are available. Features include:
KSEG[edit]
KSEG is a free (GPL) analog of The Geometer's Sketchpad (GSP) with some unique features. This software can handle heavy, complex constructions in Euclidean geometry.
Live Geometry[edit]
Live Geometry [5] is a free CodePlex project that lets you create interactive ruler and compass constructions and experiment with them. It is written in Silverlight 4 and C# 4.0 (Visual Studio 2010). The core engine is a flexible and extensible framework that allows easy addition of new figure types and features. The project has two front-ends: WPF and Silverlight, which both share the common DynamicGeometry library.
Non-Euclid[edit]
Non-Euclid[12] is a very basic Java-IGS used only for hyperbolic geometry in the Poincaré disk and the upper half-plane models.
OpenEuclide[edit]
OpenEuclide[13] is a GPL 2D geometry software.
Sarit2d[edit]
Sarit2d[14] is a library for JavaScript created for drawing and solving 2d-geometric problems. The library contains many functions for drawing the main geometric shapes: segments, arcs, points, texts, etc. But the very core of the library are the functions for solving the most common geometry problems: intersections between shapes, areas calculation, geometric formulas, etc. With Sarit2d library it's possible solving hard problems through few code rows. Dll kernel32 error windows xp.
Sphaerica[edit]
Sphaerica[15] is an open source geometry software for spherical geometry. It supports orthographic, stereographic and gnomonic projections and various tools for constructions on the sphere.
Tabula[edit]
Tabula is a commercial dynamic geometry program created by Numeracy Works. Tabula supports hands-on learning and can be used to construct, cut, tape, fold, measure, and transform geometric figures. Built using Silverlight, it is both Mac OS and Windows compatible.
Tabulae[edit]
Tabulae [6] is a dynamic geometry software written in Java. It is under development by the Federal University of Rio de Janeiro. It is available in Brazilian and Portuguese.
TracenPoche[edit]
TracenPoche[7] is a completely Adobe Flash program. It is available in English, Spanish, and French.
Wingeom[edit]
Wingeom[16] is a program for high-precision geometric constructions in both two and three dimensions.
3D programs[edit]Archimedes Geo3D[edit]Ganja.js[edit]
Ganja.js implements 2D and 3D projective and conformal Geometric Algebra. It features animation, interactivity and liveediting without registration or download.
Euler 3D[edit]
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.
Geomview[edit]Continuity versus determinism[edit]
Citrix receiver download. 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 orthocenter of triangle and three midpoints (say A', B' C' ) between vertices and orthocenter.
Construct a circumcircle of A'B'C' .
This is the nine-point circle, 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.[17]
Interactive Talking Computer ProgramSee also[edit]References[edit]Interactive Software Solutions
Interactive Application ProgramExternal links[edit]
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