Search Results for "mathematics geometry"
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Showing 56 open source projects for "mathematics geometry"
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S2 Geometry
Computational geometry and spatial indexing on the sphere
s2geometry is Google’s open source geometry library designed for representing, analyzing, and manipulating geometric shapes on a sphere rather than a flat plane. This makes it particularly suited for applications involving geospatial data, such as mapping, spatial indexing, and geographic information systems (GIS). The library provides a robust mathematical framework for spherical geometry, allowing developers to work with polygons, points, and regions on the Earth’s surface using consistent... -
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CGAL
The Computational Geometry Algorithms Library
CGAL or the Computational Geometry Algorithms Library is a C++ library that gives you easy access to a myriad of efficient and reliable geometric algorithms. These algorithms are useful in a wide range of applications, including computer aided design, robotics, molecular biology, medical imaging, geographic information systems and more. CGAL features a great range of data structures and algorithms, including Voronoi diagrams, cell complexes and polyhedra, triangulations, arrangements of... -
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Oscar.jl
A comprehensive open source computer algebra system for computations
Welcome to the OSCAR project, a visionary new computer algebra system that combines the capabilities of four cornerstone systems: GAP, Polymake, Antic and Singular. OSCAR requires Julia 1.6 or newer. In principle it can be installed and used like any other Julia package; doing so will take a couple of minutes. A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory. -
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SymPy
A computer algebra system written in pure Python
SymPy is an open source Python library for symbolic mathematics. Its goal is to become a full-featured computer algebra system (CAS) while maintaining the simplicity of its code. Written entirely in Python, SymPy is easy to use, comprehensible and easily extensible. It’s also very lightweight as it solely depends on mpmath, a pure Python library for arbitrary floating point arithmetic. SymPy has participated in every Google Summer of Code since 2007 and because of this has continuously... -
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Dynamic geometry program for use in schools and universities. Rich graphical interface, web export, graphics export, macros, assignments, animations and much more. Download the program via the links on the web page.
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Napkin
An Infinitely Large Napkin
Napkin (also titled “An Infinitely Large Napkin”) is a lightweight, semi-formal introduction to higher mathematics, aimed at giving readers a bird’s-eye view over various mathematical fields. It is not a polished textbook full of full proofs; rather it offers clean definitions, theorem statements, intuitive motivations, and informal sketches of why things work, with the goal of building conceptual understanding. The coverage spans undergraduate and early graduate topics, designed to show how... -
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Book4_Power-of-Matrix
Book_4_Matrix Power | The Iris Book: From Addition, Subtraction
Book4_Power-of-Matrix is an open educational repository that forms part of the Visualize-ML book series, focusing on explaining matrix mathematics and linear algebra concepts through visual and intuitive methods. The project is designed to help readers progress from basic arithmetic toward machine learning fundamentals by building a strong conceptual understanding of vectors, matrices, and their operations. It combines explanatory text, diagrams, and Python examples to bridge theory and... -
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CodeWorld
Educational computer programming environment using Haskell
...The web-based IDE provides immediate visual feedback: students write code that draws shapes, composes pictures, and responds to events to build simple games and simulations. Its API emphasizes mathematics and geometry rather than low-level UI details, making it approachable for classrooms and self-learners. Projects run in the browser, leveraging a compiler pipeline that turns the high-level code into JavaScript so no installation is required. The platform includes project management, sharing, and classroom features so instructors can distribute examples and students can submit work. ... -
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GeoRegression
An open source Java geometry library with a focus on 2D/3D space.
Geometric Regression Library (GeoRegression) is an open source Java geometry library for scientific computing with a focus on 2D/3D space. GeoRegression provides the ability to estimate the closest point/distance between geometric primitives, best-fit shapes, and best fit geometric transform between sets of objects. It is designed for high performance and ease of use. GeoRegression has been release under an LGPL license for both commercial and non-commercial use. -
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GeomSpace
Interactive geometry software for Euclidean and non-Euclidean spaces
GeomSpace is interactive geometry software for different geometric spaces. You can build your own universe of any dimension and with any geometry. You can choose Euclidean, elliptic, hyperbolic, Galilean, Minkowskii, de Sitter among other spaces. -
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Netgen Mesh Generator
NETGEN is an automatic 3d tetrahedral mesh generator
NETGEN is an automatic 3d tetrahedral mesh generator. It accepts input from constructive solid geometry (CSG) or boundary representation (BRep) from STL file format. The connection to a geometry kernel allows the handling of IGES and STEP files. NETGEN contains modules for mesh optimization and hierarchical mesh refinement. Netgen is open source based on the LGPL license. It is available for Unix/Linux and Windows. -
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Curv
A language for making art using mathematics
...Coloured shapes are represented using Function Representation (F-Rep). They can be infinitely detailed, infinitely large, and any shape or colour pattern that can be described using mathematics can be represented exactly. Curv exposes the full power of F-Rep programming to experts. The standard geometry library is written entirely in Curv. Many of the demos seen on shadertoy.com can be reproduced in Curv, using shorter, simpler programs. Experts can package techniques used on shadertoy as high-level operations for use by beginners. -
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IGA PEH
Isogeometric Analysis (IGA) of Piezoelectric Energy Harvesters (PEH)
...The non-constant substructure thickness is defined from three control points and a B-Spline of degree 2. References: VP Nguyen, C Anitescu, S Bordas, T Rabczuk. "Isogeometric analysis: an overview and computer implementation aspects". Mathematics and Computers in Simulation, (2015), pp. 89-116, Vol 117. IGAFEM from https://sourceforge.net/projects/cmcodes/ -
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finitegeometry
Notes on the finite geometry of the square and cube.
Includes JavaScript programs to display properties of square and cubic models of some small finite geometries over the finite field GF(2). Applications to graphic design. -
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Fast Expansions
Fast implementation of multiple precision arithmetics.
Fast implementation of multiple precision arithmetics using expansions as described in Shewchuk, J. R.. "Adaptive precision floating-point arithmetic and fast robust geometric predicates." Discrete & Computational Geometry 18.3 (1997): 305-363.. -
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The JTS Topology Suite is an API for modelling and manipulating 2-dimensional linear geometry. It provides numerous geometric predicates and functions. JTS conforms to the Simple Features Specification for SQL published by the Open GIS Consortium.
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as3delaunay
Delaunay triangulation and Voronoi diagram for Flash Builder 4 project
as3delaunay is an ActionScript 3 library that provides an implementation of Delaunay triangulation and Voronoi diagram generation. It is based on the well-known work of Raymond Hill and offers developers an efficient way to create and manipulate geometric structures for use in Flash and other AS3-based environments. The library enables users to generate Voronoi diagrams from a set of input points, allowing applications such as procedural map generation, image segmentation, and spatial... -
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ArchNURBS
NURBS-based elastic and limit analysis of masonry arches in MATLAB
ArchNURBS is a MATLAB tool for the analysis of planar curved structures, with a particular attention to masonry arches. As in CAD softwares, the geometry of the model is defined by a NURBS representation of the structure. Indeed, the user can upload geometries imported from a CAD environment. Based on such a representation, ArchNURBS performs the elastic isogeometric finite element analysis and the collapse limit analysis of the structure. It is possible to include in the analysis the... -
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Asymptopia Math Crossword Builder
Javascript crossword builderwith i18lized math capabilities
JavaScript crossword puzzle builder with internationalized math capabilities. Generate unlimited layouts of user-supplied words and equations. Use file->print (to file) to save -
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matGeom
Library for 2D/3D geometry in Matlab.
Geometry library for Matlab in 2D and 3D. Contains function for creation and manipulation of basic shapes, computing intersections, transformation, display... The project is being moved to GitHub: http://github.com/dlegland/matGeom -
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javaGeom
A geometry library for Java
A java library for geometry applications. Provides a general framework for manipulating and creating geometric primitives, computing intersection points between shapes, composing them to create new shapes, and performing some measurements. Important note: the repository has now moved to GitHub: https://github.com/dlegland/javaGeom Please update bookmarks! -
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Euclide is a dynamic geometry application written in Java. It allows creation of geometric shapes (lines, points, circles, conics...) and transforms (rotation, symmetry...), which depend each other. Moving a shape will also move shapes dependent on it.
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Griselda
Proceedural Bezier shape generator written in java
Griselda is a small java application that outputs complex Bezier shapes in Adobe PostScript. Originally coded in HyperTalk on an early Apple Macintosh ,Griselda began as a personal exploration of the book “Turtle Geometry: The Computer as a Medium for Exploring Mathematics” by Harold Abelson and Andrea diSessa. (MIT Press 1981). Bezier curves are generated procedurally using a turtle; control points are modified as sets whose angles and lengths are changed by various morph actions. This method was devised long before filters like ‘Punk’, ‘Bloat’ and ‘Twist’ appeared in commercial drawing programs; and I'm sure you will agree the method used in Griselda is more sophisticated and allows far greater control of the bezier curve... -
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Sphaerica
Interactive spherical geometry software.
Sphaerica is an interactive spherical geometry computer software. You can create complex geometric constructions in spherical geometry with this software. It supports orthogonal, stereographic and gnomonic projections to display your construction. It also has a built in scripting language for automated constructions. -
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Respol: A software package for computing projections of resultant polytopes Description: Respol is C++ software to compute a projection of the Newton polytope of the resultant of a given polynomial system. These are indirectly defined high-dimensional polytopes. Related Papers: [1] I.Z.Emiris, V.Fisikopoulos, C.Konaxis, L.Peñaranda. An oracle-based, output sensitive algorithm for projections of resultant polytopes. International J. Computational Geometry & Applications...