Category: mathematics
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Weekly Problem: Number Theory
The Collatz Sequence Let’s explore one of the most deceptively simple yet unsolved problems in mathematics, first proposed by Lothar Collatz in 1937. The Rules Start with any positive integer n. At each step: If the number is even, divide it by 2 If the number is odd, multiply it by 3 and add 1…
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Weekly Problem: Fallacy Fallacy
Understanding the Fallacy Fallacy Test your knowledge about the fallacy fallacy – the mistake of assuming that if an argument contains a fallacy, its conclusion must be false.
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Weekly Problem: Geometric Maze Optimization
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Weekly Problem no.14: Beethoven’s 5th!
Cryptophonic Challenge: Beethoven’s Victory Code The Cryptophonic Challenge: Beethoven’s Victory Code Click to Start Audio Engine 🎵 Decode the Victory Symphony Level: 1/3 Current Mission: Decode the famous rhythm that became a symbol of victory… Attempts remaining: 3 30s lockout remaining Pattern 1: • • • ― ❔ Pattern 2: ― • • • 🔒…
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Weekly Problem no.13 Vector Chase!
Here’s our weekly mathematical problem. this time in Geometry!
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The Pizza Theorem. Weekly Problem no. 8
The Pizza Theorem Challenge by Yildiz Culcu Rotate Cuts Show/Hide Solution Problem: A pizza is cut by 8 straight lines through a point P, which is not at the center of the pizza. The cuts are made at equal angles (45° apart). Prove that the sum of the areas of alternate pieces is equal. Questions…
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Liar! Weekly Problem
🤔 Philosopher A 🤯 Philosopher B “Let’s start our discussion about the Liar Paradox…” Next Step Reset The Liar Paradox is one of the oldest and most famous logical paradoxes, dating back to ancient Greece. In its simplest form, it’s captured in the statement: “This statement is false.” Understanding the Paradox: If we assume the…
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Napoleon’s Theorem
weekly Problem no.5 in two difficulties One of the most elegant results in geometry began with a surprising observation about triangles. Take any triangle – it doesn’t matter what shape or size – and build equilateral triangles on each of its sides (pointing outward). Now find the centers of these three equilateral triangles. When you…
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The stable marriage problem
Our weekly problem no. 3. Algorithmic problem Solutions to be published on Saturday 26/10/24! Write your thoughts in the comments! Here is the solution to the stable marriage riddle.
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Problem 1: The Traveling Salesperson problem 10/01/2024
And here the solution to our Problem #1 04/10/2024 As PNG and HTML file See more on the weekly Problems Page.