Search Results for "mathematics geometry"
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Showing 98 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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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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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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matcik svg editor
svg editor: Easily create documents for math, physics, chemistry...
Easily create documents for math, physics, chemistry, biology and other sciences... Book, exam and activity preparation program Easily import application vectors such as geogebra, chart, mathlive, ckeditor, desmos, into your document, or import vectors from pdf files into your document, save and rearrange your file. if you want You can use the documents you have prepared on your website or convert them to pdf. Matcik advanced online svg editor. Matematik, fizik, kimya, biyoloji ve... -
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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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Floyd is a collection of 3D libraries, mathematics and scene libraries and utilities. The main parts of it are geometry library Elea, OpenGL scene graph library Miletos and posing application Khayyam.
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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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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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glhlib
"glh" stands for Graphics Library Helper.
NEWS: I am working on the Linux version. Will be ready in 2025. Maybe Jan. 3D character support is being added. "glh" which stands for Graphics Library Helper. It is kind of like OpenGL's GLU but contains extra functions and optimized functions. The optimizations are done with assembly and are for the x86 architecture. For Win32. For VC++6. It compiles and makes a DLL (and a .LIB for VC++6). The release version of the .H file is also included. Nothing stops you from using these functions... -
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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..