In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Google’s AlphaGeometry2 AI system, developed by DeepMind, solves geometry problems at a level beyond top human competitors. Credit: Alpha Photo / CC BY-NC 2.0 Google scientists have developed a ...

All students have a right to rigorous and challenging math classes, and word problems are a ubiquitous part of elementary and middle school math. Complex language structures or overly challenging ...

DeepMind, the Google AI R&D lab, believes that the key to more capable AI systems might lie in uncovering new ways to solve challenging geometry problems. To that end, DeepMind today unveiled ...

An AI from Google DeepMind can solve some International Mathematical Olympiad (IMO) questions on geometry almost as well as the best human contestants. How does ChatGPT work and do AI-powered chatbots ...

For all of the recent strides we’ve made in the math world—like a supercomputer finally solving the Sum of Three Cubes problem that puzzled mathematicians for 65 years—we’re forever crunching ...

Hands-on learning is proposed as a prerequisite for mathematics learning in kindergarten and primary school. However, it remains unclear that whether hands-on experience aids understanding of geometry ...

Co-ordinates is a user library for Co-ordinate Geometry. It covers basic class 12th operations on a Point, Line, Pair of Straight Lines, Circles and Parabola. It also has support for Quadrilaterals ...

This repo contains a new exact method to solve difficult and high-coordinate Euclidean max-sum diversity problems. It is associated with [1], and comes as a result of our work in [2]. [1] Spiers, S., ...

Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, KSA. In this paper of the series, ...