Mathologer Courses

Phi and the Tribonacci Monster

Explore the fascinating connections between the golden ratio, Fibonacci sequence, and tribonacci constant through mathematical miracles, formulas, and real-world applications.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Win a Small Fortune With Counting Cards - The Math of Blackjack and Co.

Explore the mathematics behind casino games like blackjack and roulette, including card counting techniques and strategies for gaining an edge over the house.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Ramanujan - Making Sense of 1+2+3+... = -1/12 and Co.

Explore the mathematical paradox of infinite sums equaling unexpected values, delving into Ramanujan's work, summation rules, and connections to the Riemann Zeta function.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

The Futurama Theorem

Explore the mathematical solution to mind-switching chaos in Futurama, with clear explanations and bonus Stargate connections. Unravel the intricacies of body swapping dilemmas.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Powell's Pi Paradox - The Genius 14th Century Indian Solution

Explore the 14th-century Indian mathematician Madhava's groundbreaking calculus discoveries, including an intuitive explanation of Powell's Pi Paradox and its connection to the famous Leibniz formula for pi.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Mathematical Patterns and Properties of the Helicone Toy - From Fibonacci to Pi

Explore the fascinating mathematical principles behind the Helicone toy, from Fibonacci sequences to fractional angles, while discovering its connection to natural patterns and pi approximations.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Helicone Mathematics - Exploring Nature's Patterns Through Numbers and Ratios

Explore the fascinating intersection of mathematics and nature through the Helicone, discovering Fibonacci sequences, golden ratios, and their remarkable presence in natural patterns and structures.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Sum-Equals-Product Identities and Sophie Germain Primes - A Deep Connection

Explore fascinating mathematical identities connecting sum-equals-product sequences with Sophie Germain primes, building from simple equations to complex number theory concepts.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

How Water Solved the 1800-Year-Old Talmudic Bankruptcy Problem

Discover how ancient bankruptcy disputes were resolved using water physics principles and game theory, exploring a fascinating intersection of Talmudic wisdom and mathematical reasoning.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Ptolemy's Theorem and the Almagest - New Visual Proof After 2000 Years

Discover a groundbreaking visual proof of Ptolemy's theorem, exploring its applications, inequality, and historical significance through engaging animations and mathematical insights.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Way Beyond the Golden Ratio - The Power of AB=A+B

Explore mathematical wonders beyond the golden ratio, including Steinbach's infinite family of counterparts, Fibonacci sequences, and geometric insights. Uncover hidden patterns and relationships in numbers and shapes.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

I Built an Original One-Glance Proof from Dice

Discover a novel mathematical proof using dice arrangements and magnetic cube mechanisms to reveal hidden patterns in familiar six-sided objects.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

How to Integrate with an Axe - The Surprising Power of Planimeters Visually Explained

Discover how to calculate areas using an axe and explore the mathematical magic of planimeters - mechanical instruments that compute area by tracing shapes, with rigorous explanations from Green's theorem.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

IMPOSSIBLE - Solving 4D Rubik's Cubes in Physical 3D

Explore the fascinating world of 4D Rubik's cubes through physical 3D models, learning advanced solving techniques and mathematical concepts behind higher-dimensional puzzles.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Pythagoras Twisted Squares - Why Did They Not Teach You Any of This in School?

Explore the hidden depths of twisted squares, uncovering beautiful mathematical concepts like Fermat's theorem, Trithagoras, and the four bugs problem through engaging visuals and explanations.

• YouTube
• 39 minutes
• Self-Paced
• Free Video