Stevens Institute, Hoboken, reports the universal identity P²+K²=1, uniting polarization with entanglement across setups and ...

Researchers uncover geometric principles governing how particles self-assemble, solving a long-standing challenge in ...

A new study by mathematicians at Freie Universität Berlin shows that planar tiling, also known as tessellation, is far more than a decorative ...

Light is usually described using quantum mechanics when phenomena like entanglement enter the picture. But a new paper shows ...

The textbook uses examples from Indian monuments and cultural contexts to explain key concepts of the subject, including ...

Wrapping awkwardly shaped Christmas presents is always a headache, but here's the formula for perfect gift wrap. You've carefully chosen the presents. You have scissors, tape and even some rolls of ...

Scalene triangle ABC is inscribed within a circle. Side AB has a length of x² + 2 Side BC has a length of 8x − 3 Side AC has a length of 7x + 3 Triangle ABC has an area of 1170 cubic units. Find the ...

Every summer, scores of tourists take to the bustling streets of Barcelona, a city known for its breathtaking architecture. Nicolás Atanes Santos, a young Spanish mathematician, sees this as an ...

ChatGPT initially avoided the geometrical approach that Socrates used and instead attempted an algebraic method, an idea unknown in antiquity. A new study suggests that ChatGPT, the artificial ...

AI chatbot ChatGPT-4 attempted a “doubling the square” problem, a 2,400-year-old mathematical challenge from Plato. The University of Cambridge found that ChatGPT exhibited surprising “learner-like” ...