ABSTRACT: We introduce an algorithm which allows us to prove that there exists an infinite number of matrix strong Diophantine 540-tuples with positive integers as entries. We construct matrix ...

ABSTRACT: We introduce an algorithm which allows us to prove that there exists an infinite number of matrix strong Diophantine 540-tuples with positive integers as entries. We construct matrix ...

Celebrate the simple mathematical sequence that is hidden in everything from sunflower spirals to Da Vinci's paintings Discover why the sequence is considered nature's secret code, governing ...

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Breakthroughs, discoveries, and DIY tips sent six days a week. Terms of Service and Privacy Policy. Who doesn’t love a good math holiday? Most people know about Pi ...

If you buy something using links in our stories, we may earn a commission. This helps support our journalism. Learn more. While I understand the value of standardizing procedures and setting ...

Here’s what you’ll learn when you read this story: The majority of plants have leaves, petals and seed structures in spirals that follow the Fibonacci sequence, meaning each sequence is the sum of the ...

Is a mysterious visitor from the depths of space trying to tell us something? According to a controversial theory, the interstellar object known as 3I/ATLAS is not just a silent traveller but a ...

A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of ...

When Fibonacci introduced what would become an eponymous sequence, he did so using rabbits as an analogy. Breeding pairs of rabbits are able to multiply within their ranks infinitely. Unfortunately, ...