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Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

It is important to know properties of these shapes as questions will often involve knowing angle and length properties. For example, remember that each angle in an equilateral triangle is 60°. When a ...

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 ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

Click to see a step-by-step guide. STEP 1: Use the ruler to draw a diagonal line from the bottom right corner of the paper to the top left corner. Mark the 90° right angles in the bottom left and top ...

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 ...

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 ...

After cracking an unsolvable mathematics problem last year, AI is back to tackle geometry. Developed by Google DeepMind, a new algorithm, AlphaGeometry, can crush problems from past International ...