Search Results for "mathematics geometry"
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Showing 73 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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alphageometry
AI-driven neuro-symbolic solver for high-school geometry problems
AlphaGeometry, developed by Google DeepMind, is a theorem-proving system that combines symbolic reasoning with deep learning to solve challenging geometry problems, such as those found in mathematical Olympiads. The repository provides the full implementation of DDAR (Deductive Difference and Abductive Reasoning) and AlphaGeometry, two automated geometry solvers described in the 2024 Nature paper “Solving Olympiad Geometry without Human Demonstrations.” AlphaGeometry integrates a symbolic... -
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gptoolbox
Matlab toolbox for Geometry Processing
gptoolbox is a comprehensive MATLAB toolbox for geometry processing, optimization, and image processing. It provides a wide range of utility functions for working with triangle and tetrahedral meshes, making it useful for tasks in computer graphics, computational geometry, and 3D modeling. The toolbox includes wrappers for external software such as TetGen, Triangle, QSlim, and meshfix, as well as functions for mesh smoothing, cleanup, deformation, and parameterization. It also implements... -
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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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overtureFramework
A framework for solving partial differential equations
Overture is a framework for solving partial differential equations (PDEs) in complex, possibly moving geometry. Overture uses overlapping grids to represent the geometry. The software includes grid generation capabilities, PDE solvers for fluids, solids, and fluid-structure interactions (FSI) as well as electromagnetics. -
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Advanced Trigonometry Calculator
Precision Trigonometry: Advanced Calculator for Complex Math
Advanced Trigonometry Calculator is equipped with a user-friendly interface that allows for easy input of problems and instant computation. Professionals such as engineers who need to perform advanced trigonometric calculations in their work will find this tool extremely useful. ATC Online Alpha: https://advantrigoncalc.sourceforge.io/atc/ More info by clicking below: https://advantrigoncalc.sourceforge.io/ Advanced Trigonometry Calculator was only and always only developed by... -
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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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smib is one of the smallest and simplest computer algebra system in the world, but simple does not mean simplistic. Using smib you can explore many branches of mathematics (e.g. number theory, algebra, calculus, numerical analysis, differential geometry, probability and stochastic calculus) and also some physics (e.g. electromagnetism and quantum mechanics).. By simple you can understand easy to program (smib is a dynamically typed language, with strong affinity to recursivity, programs are often short and powerful and maybe useful for teaching), and also easy to modify (source code is free, written in C language, and based on notions of stacks and lists). ...
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Descend
Program for drawing 3D surfaces from parametric equations
Descend is an open source program for drawing 3D surfaces from parametric equations. It uses a custom, very fast language called Misc to calculate the geometry. It also uses OpenGL to render scenes with high quality shaders. Website: https://descend.mimec.org/ -
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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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Arageli is a C++ library for computations in arithmetic, algebra, geometry, linear and integer linear programming. Arageli provides routines and classes that support precise, i.e. symbolic or algebraic, computations.
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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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Free computer algebra system, compatible with existing CAS, as a C++ library with various user interfaces (GUI with formal spreadsheet and exact dynamic geometry, on-line, readline, emacs, texmacs...).