Latest ThoughtThrill Projects
Explore our collection of math presentations designed to spark your curiosity.
Every Level of Geometry Explained
Level 1. Basic Geometry Level 2. Intermediate Geometry Level 3. Advanced Geometry Level 4. Analytic Geometry Level 5. Non-Euclidean Geometry Level 6. Topological Geometry…
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Every Proof that 0.999 equals 1 but they get increasingly more complex
If we have 1/3 = 0.333… and we multiply both sides of the equation by 3, we see that 3/3 is equal to 0.999……
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The 3 Tests That Make or Break an Infinite Series
If you’re into mathematics, you may have heard of an operation called addition, where you simply combine two values together. Summation is the addition…
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The Fastest Way to Travel is not a Straight Line
What Is the Brachistochrone?The ChallengeThe Calculus of VariationsDeriving the SolutionThe Cycloid What Is the Brachistochrone? One of the most fascinating problems in the history…
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Every Proof That There Are Infinitely Many Primes Explained
What Is a Prime Number? Euclid’s Proof Factorial Proof Erdős’s Proof What Is a Prime Number? Think of a natural number. That is, a…
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Unsolved Math Problems in Calculus That Sound Easy
The Casas-Alvero ConjectureThe Riemann HypothesisNavier-Stokes Existence and SmoothnessThe Jacobian Conjecture The Casas-Alvero Conjecture If an integer k can be expressed as the product of…
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Every Equation That Changed History Explained
Timeline of Equations That Changed the World 6th Century BC: Thales’ Theorem 6th Century BC: Pythagorean Theorem 300 BC: Euclid’s Theorem 250 BC: Archimedes’…
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Every Unsolved Problem in Discrete Mathematics that sounds Easy
The Riemann Hypothesis The Navier-Stokes Problem The P versus NP Problem The Collatz Conjecture The Goldbach Conjecture The Riemann Hypothesis The Riemann hypothesis is…
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Every Major Topic in Calculus Explained – Part 2
A Complete Guide to IntegralsWhat Are Integrals?The Power RuleThe Sum RuleIntegration by SubstitutionIntegration by PartsIntegration by Partial FractionsDefinite IntegralsA Real-Life Application A Complete Guide…
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