Visualizing Quaternions - 4D Numbers With Stereographic Projection
Explore 4D quaternions through stereographic projection, visualizing complex mathematical concepts in 3D space and understanding their geometric implications.
3D Supershapes and Spherical Geometry
Explore 3D Supershapes and spherical geometry in Processing and p5.js. Learn to create spheres, generate 3D Supershapes, and transpose them to web browsers using WebGL.
Coding a 3D Fractal
Learn to visualize the 3D Mandelbulb fractal using Processing (Java). Explore triplex numbers, spherical coordinates, and point cloud rendering techniques to create stunning fractal visualizations.
Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Explore algebraic topology and the fundamental group, from basic concepts to advanced applications like Brouwer's Fixed Point Theorem. Learn to analyze spaces through continuous deformations and group theory.
Geometry - Proving Triangles Are Similar - AA, SAS, SSS
Learn to prove triangle similarity using AA, SAS, and SSS postulates. Practice with sample problems and gain skills to explain similarity and find lengths in triangles.
Circles Lesson 3 - Circumference and Arc Length
Comprehensive tutorial on circumference and arc length, covering formulas, definitions, and various problem-solving examples for circles. Ideal for geometry students seeking practice and understanding.
Circles - Arc Length
Learn to calculate arc length in circles through practical examples like pie slices and clock hands. Master formulas and problem-solving techniques for geometry applications.
Trigonometry Lesson 8 - Trig Word Problems
Explore trigonometric patterns, rules, and relationships through practical examples. Apply concepts to solve real-world problems involving angles, distances, and elevations.
Geometry
Explore shapes, angles, and theorems in this comprehensive geometry overview, covering 2D and 3D concepts from basic principles to advanced calculations.
Law of Cosines Practice Test Full Solutions
Comprehensive step-by-step solutions for oblique triangle problems using the law of cosines, including SAS and SSS cases, plus derivation of Heron's formula and area calculations.
Sum and Difference Identities for Sine and Tangent Practice Test Full Solutions
Comprehensive step-by-step solutions for sum and difference identities of sine and tangent, including derivations and practice problems to enhance trigonometric understanding and problem-solving skills.
Solving Right Triangles Practice Test - Full Solutions
Comprehensive tutorial on solving right triangles, covering various scenarios and word problems with step-by-step solutions for 10 practice problems.
Number Theory Full Course - A to Z
Comprehensive exploration of number theory, covering fundamental concepts, theorems, and applications. Ideal for learners seeking in-depth understanding of integer properties and advanced mathematical principles.
Advanced Linear Algebra
Comprehensive exploration of advanced linear algebra concepts, including least squares approximation, error-correcting codes, functional calculus, affine transformations, and stochastic maps, with practical applications.
Inclination of a Line - Angle Between Two Lines - Distance Between a Point and a Line
Aprenda a calcular inclinações de retas, ângulos entre linhas e distâncias ponto-reta. Domine fórmulas e exemplos práticos para aprimorar suas habilidades em geometria analítica.
Law of Cosines SAS and SSS - Heron's Formula for the Area of a Triangle
Learn to solve oblique triangles using the law of cosines for SAS and SSS cases, and calculate triangle areas with Heron's formula. Includes derivations and multiple examples.
Parallel and Perpendicular Lines Practice Test Full Solutions
Comprehensive step-by-step solutions for determining parallel, perpendicular, or unrelated lines, covering five sections of practice problems with detailed explanations.
Why Is Doubling Cubes and Squaring Circles Impossible?
Explore the 2000-year journey to prove the impossibility of doubling cubes, trisecting angles, constructing regular heptagons, and squaring circles using only a ruler and compass, from ancient Greece to modern mathematics.
Heron's Formula - What Is the Hidden Meaning of 1 + 2 + 3 = 1 x 2 x 3?
Explore Heron's formula and its extensions, uncovering the hidden meaning behind 1+2+3=1x2x3 and delving into geometric proofs and mathematical curiosities.
Graph Lines - How To
Comprehensive guide to graphing lines, covering slope calculation, equation forms, and graphing techniques for various line types. Ideal for mastering fundamental concepts in linear algebra.
Learn Rust Programming
Master Rust's key concepts: traits, enums, borrow checker, error handling, and iterators. Gain practical skills through code reviews, fractals, and StackOverflow's top questions.