4D to 2D projections. #abstractmath #tesseract

What if a coffee cup and a donut are secretly the same shape? In this visual journey through Topology, we explore how shapes can transform through continuous deformation stretching and bending ,without tearing or gluing. 🔵 Circle ≈ Square ☕ Coffee Cup ≈ 🍩 Torus 🌀 Möbius Strip → One-sided surface 🔁 Genus & Euler Characteristic 🚫 Why tearing changes everything From homeomorphisms to genus classification, this video breaks down deep mathematical ideas into clean, intuitive visuals. Topology isn’t about measurements — it’s about structure. It’s the mathematics of transformation. If you’ve ever wondered how geometry becomes philosophy… this is it. #Mathematics #Topology #Homeomorphism #Genus #EulerCharacteristic #MobiusStrip #Torus #MathVisualization #PureMath #STEM #MathAnimation #LearnMath #MathIsBeautiful #AbstractMath #Geometry

How Does Graph Theory Shape Our World? 🧮✨ From wedding seating charts to mapping the universe - Graph Theory is everywhere! Meet Princeton's Maria Chudnovsky, the "superstar mathematician" who solved a 40-year-old puzzle about perfect graphs. Starting with Euler's famous bridge problem in 1700s Königsberg, graph theory transforms complex relationships into elegant dots and lines. Whether it's friendship networks, flight routes, or even planning your dinner party, this mathematical language transcends borders and cultures. Chudnovsky's breakthrough on the Strong Perfect Graph Conjecture shows how abstract math creates real-world solutions. As she beautifully puts it: "Math is math and truth is truth" - a universal language that connects us across time and space. 🌍📐 quantamagazine.org/how-does-… #GraphTheory #Mathematics #DataScience #AbstractMath #PrincetonUniversity #WomenInSTEM #MathematicalBreakthroughs #DiscreteMathematics #PerfectGraphs #EulersBridges #NetworkScience #VisualMath #MathEducation #STEMCareers #MathIsEverywhere -- The Year of the Graph is back with regular updates, and a forthcoming Autumn 2025 newsletter issue on all things Knowledge Graph, Graph Analytics / Data Science / AI and Semantic Tech. Subscribe and follow to be in the know. Reach out if you'd like to be featured 👇 yearofthegraph.xyz/newslette…

Breakthrough! After 50 years, a monumental proof in abstract mathematics is bringing us closer to a Grand Unified Theory! A quiet revolution-one of science's biggest stories. #Mathematics #ScienceNews #GrandUnifiedTheory #AbstractMath nature.com/articles/d41586-0…

Thank you Professor Fink /\ reddit.com/r/ConceptualMathe… nature.com/articles/d41586-0… #ArtificialIntelligence @elonmusk @Nature @NatMachIntell @ScienceMagazine @PNASNews @maanow @amermathsoc #Mathematics #AI #Math #AbstractMath #ConceptualMathematics #CategoryTheory #Maths @americanacad

As a math major, have you ever been expected to calculate huge numbers mentally, while you haven't seen digits in weeks? Today, my brother asked me to subtract 1650 from 4940. I'm sitting there like, 'Hey, open your calculator, buddy.' #math #digits #mathmajor #abstractmath

7/Mathematical Language: Math has its own language full of symbols and notations. For example, students can find it confusing when they first learn about inequalities because they’re used to equations. The symbols < and > could be hard to interpret without sufficient explanation and practice.Concepts like mean, median, mode, and standard deviation can be tricky for students. Understanding how these measures are used to interpret datasets, and why they’re important, often requires examples that relate to real-world situations. For instance, understanding how an ‘average’ can be skewed by outliers can be illustrated using the salaries of a group of people, where one person’s salary is significantly higher than the others. #AbstractMath #ImaginaryNumbers #MathBuildingBlocks #MathFoundations #PracticeMakesPerfect #MathWorkouts #RealLifeMath #MathApplication #OvercomeMathAnxiety #MathConfidence #MathTeachingStyles #MathEducationMethods

Reasons why many students find math difficult: #Threads 1/Abstract Concepts: Mathematics deals with abstract concepts and numbers. For example, the concept of imaginary numbers (like the square root of -1) is not something you can visualize or see in the everyday world. This abstract nature can make it harder for some people to grasp these ideas. Let’s take another example from algebra. The use of letters and symbols in algebra to represent numbers can be abstract and difficult to comprehend for some students. For instance, understanding that ‘x’ in an equation is not just a letter but a placeholder for a number can be a challenging transition from arithmetic where they dealt with concrete numbers. In Geometry, students often struggle with the concept of theoretical shapes and spaces, like imagining a three-dimensional shape from a two-dimensional diagram, or visualizing what happens when such shapes are rotated or reflected. In higher level mathematics, students encounter concepts that challenge their understanding of numbers. For instance, the concept of an “imaginary” number (the square root of -1, denoted as ‘i’) often stumps students. Imaginary numbers, together with real numbers, form the set of complex numbers. Without real-world examples like electrical circuit analysis or wave mechanics, students can struggle to grasp their relevance. #AbstractMath #ImaginaryNumbers

essa tatuagem está tirando minha paz só faz sentido se 💀 = 1 mas quem criou a tatuagem pensou nisso??? era pra ela ter sentido??? #abstractMath

I hate to stir the mathematical pot, but is anyone else asking whether or not neg and pos integers belong in 6th grade? #askingforafriend #mtbos #stilltoughfor8thgraders #abstractmath

Interesting perspective on inequality by mathematician @DrEugeniaCheng in her @TEDTalks on how #AbstractMath can help us understand people. ted.com/talks/eugenia_cheng_…

We have the answer in our new #blog. It's time for a little #abstractmath fun. Ready? opexanalytics.com/gas-prices… #optimization #optimizationalgorithms

Glimpsing #AbstractMath & #semantic representation's future, Wolfram researchers present their work in latest blog: wolfr.am/i9c6wqvw

Combining shapes to make new shapes #centersd #abstractmath

But why does someone become depressed over differentiability of a function? LOL. #abstractmath

Here goes nothing... #AbstractMath