Uniform tilings | Hyperbolic tilings | Isogonal tilings | Square tilings | Infinite-order tilings | Truncated tilings
In geometry, the truncated infinite-order square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{4,∞}. (Wikipedia).
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.
From playlist 3D printing
Polygonal Numbers - Algebraic Approach
From playlist ℕumber Theory
Sum of odd integers: a generalization (visual proof)
This short animated proof demonstrates the classic sum of odds visual proof and then shows one way to extend the idea to finding sums in other polygonal arrays. Surprisingly, the natural extension to finding sums of certain entries in a triangular array yields the sequence of squares. We l
From playlist Finite Sums
Sum of an Arithmetic Sequence #wordlesswednesday (visual proof)
This is a short, animated visual proof demonstrating how to visualize the sum of an arithmetic sequence, producing a closed formula for such a sum. #mathshorts #mathvideo #math #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmat
From playlist Finite Sums
The Honeycombs of 4-Dimensional Bees ft. Joe Hanson | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Be sure to check out It's OK to be Smart's video on nature's love of hexagons https://youtu.be/Pypd_yKGYpA And try CuriosityStream today: http://curiositystream.com/inf
From playlist Higher Dimensions
How to take the odd root of a negative integer, cube root
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd power gives the number which we want to find its cube r
From playlist How To Simplify The Cube Root of a Number
Self Similar Geometric Series: Sums of powers of 7 (and all integers larger than 3)
This is a short, animated visual proof demonstrating the finite geometric sum formula for any integer n with n greater than 3 (explicitly showing the cases n=7 and n=9 with k=3). This series (and its infinite analog when x less than 1) is important for many results in calculus, discrete ma
From playlist Finite Sums
Geometry: Ch 4 - Geometric Figures (16 of 18) The Right Circular Cone Truncated
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the right circular truncated cone, and explain the equations of its surface area and volume. Next video in this series can be seen at: https://youtu.be/zNxXORWmA2E
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
Odd squares mod 8 and the Sum of Positive Integers (two facts from eight triangles; visual proof)
This is a short, animated visual proof demonstrating how to use eight triangular arrays to find the congruence class of odd squares modulo 8 AND how to use the same diagram to produce a formula for the sum of the first n positive integers. #mathshorts #mathvideo #math #numbertheory #mtb
From playlist Number Theory
Avoiding math to have a relaxing Saturday with friends. Links to everyone's cool stuff below: Gwen Fisher: http://www.beadinfinitum.com/ She also has a blog: http://gwenbeads.blogspot.com/ Also buy everything from her etsy shop before someone else does: https://www.etsy.com/shop/gwenbead
From playlist Thanksgiving: Edible Math
Laser beams in a maze with octagonal and square cells
Yay, another maze type! This one, suggested in comments, is based on a particular so-called semi-regular tiling, made of regular octagons and squares. The tiling is also called truncated square tiling, or truncated quadrille. At the beginning of the simulation, 15000 laser beams, or parti
From playlist Illumination problem
Bridges 2017 talk - Non-euclidean virtual reality
This is a talk I gave with Sabetta Matsumoto (Georgia Tech) at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 27th July 2017, about my papers with Vi Hart, Andrea Hawksley and Sabetta Matsumoto: http://archive.bridgesmathart.org/2017/bridges2017-33.htm
From playlist GPU shaders
Right-angled Coxeter groups and affine actions (Lecture 03) by Francois Gueritaud
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
Simone WARZEL - Mathematical challenges and results related to fractional quantum systems
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
High density phases of hard-core lattice particle systems - Ian Jauslin
Members' Seminar Topic: High density phases of hard-core lattice particle systems Speaker: Ian Jauslin Affiliation: Member, School of Mathematics Date: October 30, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Arbitrary Rectangle Collision Detection & Resolution - Complete!
In this video I once and for all solve axis aligned rectangle collision detection, demonstrating algorithms to handle arbitrary size rectangle vs rectangle collisions and collision resolution, applicable to "rectangle soups" or tile map based interactions. Source: https://github.com/OneL
From playlist Interesting Programming
QRM 5-1: Tails in Data - MS Plot and Concentration Profile
Welcome to Quantitative Risk Management (QRM). Let us continue our discussion about the graphical tools we can use to study tails. We will consider the very useful Max-to-Sum (MS) plot, able to tell us something about the existence of moments, and the Concentration Profile, another way of
From playlist Quantitative Risk Management
How to take the square root of three different types of numbers, root(4), root(18)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021
If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc
From playlist Celebration of Mind 2021