Tiling puzzle

WHY IS TILING HARD: The Tiling Machine Construction and Complexity of Mathematical Tiling Problems

While introducing mathematical tilings last time, the question of 'Why is Tiling Hard?' or 'How difficult is tiling?' came up briefly with little explanation given. This week, I wanted to dive deeper into the complexity of mathematical tiling problems and the tiling machine construction wh

From playlist The New CHALKboard

Introduction to Tiling Theory

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

WHAT IS THE DEFINITION OF A MATHEMATICAL TILING: introducing the basics of math tiling | Nathan D.

I go through the basics behind the question, "what is the definition of a mathematical tiling". While introducing the basics of math tiling objects, we introduce the definitions of a partition, topological disc, and a prototile. By introducing these ideas and definitions, we are able to an

From playlist The New CHALKboard

O. Paris-Romaskevich - Triangle tiling billiards

Tiling billiards is a dynamical system in which a billiard ball moves through the tiles of some fixed tiling in a way that its trajectory is a broken line, with breaks admitted only at the boundaries of the tiles. One can think about this system as a movement of the refracted light. In thi

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Hyperbolic Fractal Tilings and Surfaces – Robert Fathauer

From playlist G4G11 Videos

Triangle tilings

(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

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

Cindy Lawrence - Play Truchet: Truchet Tiling to Engage the Public with Mathematics - G4G13 Apr 2018

In 1704, Sébastien Truchet considered all possible patterns formed by tilings of a square tile split along the diagonal into two triangles. This original tiling was modified to create a single tile consisting of two circular arcs centered at opposite corners of a square, resulting in an ae

From playlist G4G13 Videos

Tiling problems [2/2] | Dynamic Programming

A generalization of how to solve tiling problems using dynamic programming Previous video: https://youtu.be/gQszF5qdZ-0 Tiling problems: https://projecteuler.net/problem=114 https://projecteuler.net/problem=115 https://projecteuler.net/problem=116 https://projecteuler.net/problem=117 Al

From playlist Dynamic Programming

Helix cube puzzle

Prototype half frame: http://shpws.me/TiT4 One tile: http://shpws.me/TiT7 Full frame: http://shpws.me/TiT6 (will also require three 25mm long M2 bolts and three M2 nuts) 20 tiles: http://shpws.me/TiT5 Files for the half frame: https://www.printables.com/model/323666-helix-cube-puzzle-prot

From playlist 3D printing

Hyperbolic 29 puzzle

Buy from Shapeways: Hyperbolic 29 Puzzle Tiles: http://shpws.me/SJra Hyperbolic 29 Puzzle Frame: http://shpws.me/SJr9 Hyperbolic 12 Puzzle Tiles: http://shpws.me/SJrz Hyperbolic 12 Puzzle Frame: http://shpws.me/SJry Numbers to print (for either set of tiles): https://www.thingiverse.com

From playlist 3D printing

Continental drift puzzle

Available at https://www.shapeways.com/shops/henryseg?section=Continental+Drift+Puzzle (Yes, I know, 3D printing is very expensive in comparison to mass-produced injection molded products. If you are a company interested in mass-producing any of my puzzles or mechanisms, please get in touc

From playlist 3D printing

Why the 14-15 puzzle is impossible, and how to solve it anyway

A bit of the math of the 15-puzzle, and some variants that shake up that math.

From playlist 3D printing

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

15 + 4 puzzle

The 15 + 4 puzzle is a hinged version of the classic 15 Puzzle, with an extra 4 tiles. If you want to buy one of these, you will need the following two prints from Shapeways: Frame: http://shpws.me/SzQG Tiles: http://shpws.me/SzQH You will also need ten 8mm long M2 bolts and nuts to for

From playlist 3D printing

Can you solve THE Klein Bottle Rubik's cube?

In this video I tell you about Klein bottle Rubik’s cubes, Torus Rubik's Cubes and Klein Quadric Rubik's cubes as an introduction to a whole new universe of twisty puzzles. Get your own Klein bottle Rubik’s cube, as well as more than 800 other topological twisty puzzles by downloading th

From playlist Recent videos

Building A Sliding Puzzle Game with a Custom Image Using ReactJS

In this video tutorial I show you how to build a 16 tile sliding puzzle game where you can set your own image as the puzzle background. Code: https://github.com/danba340/react-sliding-puzzle Game: https://react-sliding-puzzle.vercel.app/ PUBLICATION PERMISSIONS: Daniel Bark provided Cod

From playlist React

Coiled 15 puzzle

This is a variant of the classic sliding tile puzzle, where the puzzle is coiled around a cylinder. The goal is the same: to put the tiles back in the correct order. Unlike the classic 15-puzzle, this version is solvable because of the extra connection between the first and sixteenth squar

From playlist 3D printing

Slide Puzzle in JavaScript (Coding Challenge 165)

Let's code a slide puzzle in p5.js together! Sign up for the CuriosityStream + Nebula bundle with a 26% exclusive discount ($14.79 for a full year!) at https://curiositystream.com/codingtrain We'll be using images, nested loops, and arrays, and by the end of our journey, we'll have a full

From playlist Recent uploads

Hexagonal Tiling Explained!

There is more than one way to tile the plane. In this video we'll explore hexagonal tiling. Hexagonal tiling can be used to make many cool effects. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode PayPal Donation

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