Isohedral tilings | Apeirogonal tilings | Regular tilings | Isogonal tilings | Euclidean tilings | Order-2 tilings
In geometry, an order-2 apeirogonal tiling, apeirogonal dihedron, or infinite dihedron is a tiling of the plane consisting of two apeirogons. It may be considered an improper regular tiling of the Euclidean plane, with Schläfli symbol {∞, 2}. Two apeirogons, joined along all their edges, can completely fill the entire plane as an apeirogon is infinite in size and has an interior angle of 180°, which is half of a full 360°. (Wikipedia).
(5,3,2) triangle tiling: http://shpws.me/NW2E (7,3,2) triangle tiling (small): http://shpws.me/NW3A (6,3,2) triangle tiling: http://shpws.me/NW3H (4,3,2) triangle tiling: http://shpws.me/NW3K (3,3,2) triangle tiling: http://shpws.me/NW3J (4,4,2) triangle tiling: http://shpws.me/NW3M
From playlist 3D printing
Yoshiyuki Kotani -Tiling of 123456-edged Hexagon - G4G13 Apr 2018
The theme is the tiling of flat plane by the hexagon which has the edges of 1,2,3,4,5,6 length, and that of other polygons of different edges. It is a very tough problem to make a tiling by a different edged polygon. Polygon tiling of plane often needs edges of the same lengths. It is well
From playlist G4G13 Videos
Domino tilings of squares | MegaFavNumbers
This video is part of the #MegaFavNumbers project. Domino tiling is a tessellation of the region in the Euclidean plane by dominos (2x1 rectangles). In this video we consider square tilings. Sequence, where each element is equal to the number of tilings of an NxN square, is growing reall
From playlist MegaFavNumbers
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Polygonal Numbers - Geometric Approach & Fermat's Polygonal Number Theorem
I created this video with the YouTube Video Editor (http://www.youtube.com/editor)
From playlist ℕumber Theory
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
Regular tilings of the plane | Elementary Mathematics (K-6) Explained 37 | N J Wildberger
There are three famous regular tilings of the plane, and young people can happily learn about them. They are pleasing, made up of just one tile, which is itself a regular polygon, and have maximal symmetry. Curiously, the underlying tiles are the regular triangle (equilateral triangle), th
From playlist Elementary Mathematics (K-6) Explained
What are four types of polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Determine if a set of points is a parallelogram using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Puzzle 7: Tile that Courtyard, Please
MIT 6.S095 Programming for the Puzzled, IAP 2018 View the complete course: https://ocw.mit.edu/6-S095IAP18 Instructor: Srini Devadas It's easy to tile a square courtyard with square tiles, but can you tile a square courtyard with L-shaped tiles? What if there is a statue occupying exactly
From playlist MIT 6.S095 Programming for the Puzzled, January IAP 2018
Uniform Tilings of The Hyperbolic Plane (Lecture 4) by Subhojoy Gupta
ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi
From playlist Geometry and Topology for Lecturers
From playlist CS50 Walkthroughs
MATH1081 Discrete Maths: Chapter 4 Question 37
We find formula of number of ways to tile the 2xn block by 2x2 and 2x1 blocks. Presented by Peter Brown of the School of Mathematics and Statistics, Faculty of Science, UNSW.
From playlist MATH1081 Discrete Mathematics
Secrets of the Fibonacci Tiles - 3B1B Summer of Math Exposition
A simple problem about tiling will explain multiple patterns hidden in the Fibonacci sequence. Music by Michael Severson https://www.instagram.com/michaeljseverson/. Animations created using https://www.manim.community/. Entry for the 3blue1brown summer of math exposition contest https:
From playlist Summer of Math Exposition Youtube Videos
Real Analysis Lecture 1.1 The Natural Numbers
00:00 Start 00:11 Overview 01:38 Natural Numbers 08:00 A Joke 12:02 Tiling By Trominos 33:41 Integers Full Playlist: https://www.youtube.com/playlist?list=PLX2fVLMrzfneCYOpe6UrBhhFDo3JNglke Suggestion: Play at 1.25 times the normal speed. Note: The auto-generated subtitles are mostly acc
From playlist Summer of Math Exposition Youtube Videos
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Coding Challenge 171: Wave Function Collapse
Straight out of quantum mechanics, Wave Function Collapse is an algorithm for procedural generation of images. https://thecodingtrain.com/challenges/171-wave-function-collapse In this video (recorded over 3 live streams) I attempt the tiled model and explore a variety of solutions to the
From playlist Coding Challenges
60 years of dynamics and number expansions - 10 December 2018
http://crm.sns.it/event/441/ 60 years of dynamics and number expansions Partially supported by Delft University of Technology, by Utrecht University and the University of Pisa It has been a little over sixty years since A. Renyi published his famous article on the dynamics of number expa
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Sylvie Corteel: Le diamant aztèque - Cours 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Combinatorics
Determine if a set of points makes up a rectangle using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane