Quaquaversal tiling

Quaternions EXPLAINED Briefly

This is a video I have been wanting to make for some time, in which I discuss what the quaternions are, as mathematical objects, and how we do calculations with them. In particular, we will see how the fundamental equation of the quaternions i^2=j^2=k^2=ijk=-1 easily generates the rule for

From playlist Quaternions

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

Quaternary tree mobile

This shows a 3d printed mobile produced using shapeways.com. This is joint work with Marco Mahler. This is available at http://shpws.me/nPha.

From playlist 3D printing

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

Determining if a set of points makes a parallelogram or not

👉 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

Folding the Klein Quartic

https://github.com/timhutton/klein-quartic

From playlist Geometry

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

From playlist Tools

Geometric Algebra - Rotors and Quaternions

In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading

From playlist Math

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

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

Nathalie Priebe Frank : Introduction to hierarchical tiling dynamical systems

Abstract: These lectures introduce the dynamical systems approach to tilings of Euclidean space, especially quasicrystalline tilings that have been constructed using a 'supertile method'. Because tiling dynamics parallels one-dimensional symbolic dynamics, we discuss this case as well, hig

From playlist Dynamical Systems and Ordinary Differential Equations

Wolfram Physics Project: Working Session Tuesday, Aug. 3, 2021 [Tilings]

This is a Wolfram Physics Project working session about tiling in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-ann

From playlist Wolfram Physics Project Livestream Archive

The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes?

I only stumbled across the amazing arctic circle theorem a couple of months ago while preparing the video on Euler's pentagonal theorem. A perfect topic for a Christmas video. Before I forget, the winner of the lucky draw announced in my last video is Zachary Kaplan. He wins a copy of m

From playlist Recent videos

2048 FROM SCRATCH, PART 2! - CS50 Live, EP. 61

Join CS50's Colton Ogden for a second part of implementing the famous web game, 2048, from scratch in LÖVE and Lua. In this episode, we'll look at refactoring our existing code, as well as getting number merging and coloring working properly, with eventually a score and loss condition bein

From playlist CS50 on Twitch

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

Unity Tutorial | How To Create A City Builder Game In Unity | Session 09 | #unity | #gamedev

Don’t forget to subscribe! In this Unity tutorial, you will learn to create a city builder game in Unity. City Builder games are one of the most popular games in the mobile market, so it is definitely an important Unity game to have in your portfolio. In this tutorial, we’ll be creating

From playlist Create A City Builder Game In Unity

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

2048 FROM SCRATCH! CS50 Live, EP 60

From playlist CS50 on Twitch

Lecture 13 - Basic Maneuvers

This is Lecture 13 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2013.pdf More information may

From playlist CSE547 - Discrete Mathematics - 1999 SBU

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