An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non-periodic tilings. The Penrose tilings are the best-known examples of aperiodic tilings. Aperiodic tilings serve as mathematical models forquasicrystals, physical solids that were discovered in 1982 by Dan Shechtman who subsequently won the Nobel prize in 2011. However, the specific local structure of these materials is still poorly understood. Several methods for constructing aperiodic tilings are known. (Wikipedia).
Lots of Aperiodic Sets of Tiles! β Chaim Goodman-Strauss
Inspired by Martin Gardner's writings on aperiodic tiling, we present thousands of new examples, organized into lots.
From playlist G4G12 Videos
(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
In this mini-lecture, we explore tilings found in everyday life and give the mathematical definition of a tiling. In particular, we think about: (i) traditional Islamic tilings; (ii) floor, wallpaper, pavement, and architectural tilings; (iii) the three regular tilings using either equilat
From playlist Maths
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
Using a set of points determine if the figure is a parallelogram using the midpoint formula
π 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
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
What is an equilateral triangle
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
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
6D minecraft? - Aperiodic Voxel Game devlog#1
The intro music is aperiodic too, played by me on a broken cello. The rest of the background music was a public domain recording of Beethoven Sonata no. 1, played by Daniel Veesey. Development for this game started in Processing, but I felt I was writing many lines of Java code for things
From playlist Summer of Math Exposition Youtube Videos
The Beauty of Symmetry: An Introduction to the Wallpaper Group
Keep exploring at βΊ https://brilliant.org/TreforBazett. Get started for free for 30 days β and the first 200 people get 20% off an annual premium subscription! Resources used in the video: Web app to generate all 17 wallpapers: https://math.hws.edu/eck/js/symmetry/wallpaper.html Lots of i
From playlist Cool Math Series
Determine if a set of points is a trapezoid or not
π 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
Ayliean MacDonald - The Pentagon: A Userβs Guide - CoM Oct 2021
Regular pentagons throw a spanner in the works when it comes to tessellation but donβt let that one case tarnish the good name of the pentagon! Come along as we explore the 15 irregular pentagons which do tile the plane, journey through five fold symmetry, make a quick pit stop to look at
From playlist Celebration of Mind 2021
Footloose on a tiled trail - Exploring repeating patterns by C S Aravinda
When: 4pm to 6pm Sunday, 19 February 2017 WHERE: Jawaharlal Nehru Planetarium, Bengaluru Regularly repeating patterns are commonplace around us, on tile-laid pavements, on tapestry designs, on window grills, on rangolis and so on. Exploring newer and newer basic patterns to create novel
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
How to Use the Mathigon Aperiodic Monotile Creator
Link to @Mathigon #Polypad: https://mathigon.org/polypad/8kVqVH2Mor6JTQ Construction created by Dan Anderson: https://twitter.com/dandersod
From playlist Mathigon Demos and Ideas
How to Use This GeoGebra Aperiodic Monotile Creator
Link: https://www.geogebra.org/m/gq5mtkfa
From playlist Geometry: Dynamic Interactives!
Determine if a set of points is a parallelogram by using the slope formula
π 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