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Every Unsolved Prime Number Problem
Brocard’s Conjecture Twin, Cousin, and Sexy Primes Palindromic Primes Euclid Numbers Goldbach’s Conjecture Brocard’s Conjecture A prime number is a positive whole number that has exactly two divisors: 1 and itself. Pick a prime number greater than 2, like 3. Then take the next prime number after that, in this case read more
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Every Unsolved Geometry Problem that Sounds Easy – Part 2
Five More Geometry Problems That Are Way Harder Than They Look Tripod Packing The Thomson Problem The Levi-Hadwiger Conjecture Heesch’s Problem Kalai’s 3ᵈ Conjecture Tripod Packing Let’s start with a cube existing at some fixed location in 3D space. (This problem can be easier to comprehend if you think of the read more
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Every Complex Geometry Shape Explained 2
The Apollonian Gasket The Golden Spiral The Three-Torus The Mucube The Burning Ship Fractal The Apollonian Gasket Let’s start by drawing a circle named C₁. Note that we’re not including the inside region as part of the circle; that region is called a disc in math terms. Now draw a second read more
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Every Angle Unit Explained in 10 minutes
The Turn The Degree The Radian The Gradian Binary Angular Measurement The Turn An angle is formed between two rays that share an endpoint. The rays are called the angle’s sides, and the endpoint is called the angle’s vertex. Various units of measurement can be used to measure an angle. The read more
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Every Algebraic Curve Explained
Linear Functions Quadratic Functions Polynomials of Degree n Rational Functions Radical Functions Exponential Functions Logarithmic Functions Trigonometric Functions Inverse Trigonometric Functions Hyperbolic Functions The Absolute Value Function Constant Functions Floor and Ceiling Functions The Sign Function Piecewise Functions Linear Functions Linear functions have the form f(x) = mx + b. Here read more
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Every Weird Number System Explained
Decimal (Base 10) Roman Numerals Binary (Base 2) Hexadecimal (Base 16) Golden Ratio Base Decimal (Base 10) Assuming you’ve heard of numbers before, you probably know about the decimal system, also known as base 10. It involves 10 digits that can be put together to represent a number. For example, consider read more
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Unsolved Problems in Graph Theory Explained
Graph theory has uncovered many secrets of networks and relationships, but some problems remain unsolved. Here are three famous unsolved problems in graph theory, the Total Coloring Conjecture, the Hadwiger Conjecture, and the 1-Factorization Conjecture, and why they continue to puzzle mathematicians. Building Blocks of Graph Theory 1-Factorization Conjecture Unfriendly Partition read more
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Every Weird Temperature Scale Explained
Celsius Fahrenheit Kelvin The Obscure Temperature Scales Celsius Anders Celsius. Public domain, via Wikimedia Commons In its simplest definition, a temperature scale uses numbers to classify how hot or cold something is. The Celsius scale is the most commonly used scale of temperature around the world, with units of degrees Celsius. read more
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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 Level 7. Projective Geometry Level 8. Differential Geometry Level 9. Algebraic Geometry Level 1. Basic Geometry The fundamental entities of geometry include the point, the line, and read more
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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… Since 3/3 is 1, we find that 1 equals 0.999… The above is one of the simplest and most popular demonstrations that can be found regarding the claim that 0.999… equals read more
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