Euclidean tilings | Isohedral tilings
In geometry, the tetrakis square tiling is a tiling of the Euclidean plane. It is a square tiling with each square divided into four isosceles right triangles from the center point, forming an infinite arrangement of lines. It can also be formed by subdividing each square of a grid into two triangles by a diagonal, with the diagonals alternating in direction, or by overlaying two square grids, one rotated by 45 degrees from the other and scaled by a factor of √2. Conway, Burgiel, and Goodman-Strauss call it a kisquadrille, represented by a kis operation that adds a center point and triangles to replace the faces of a square tiling (quadrille). It is also called the Union Jack lattice because of the resemblance to the UK flag of the triangles surrounding its degree-8 vertices. It is labeled V4.8.8 because each isosceles triangle face has two types of vertices: one with 4 triangles, and two with 8 triangles. (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
How to construct a Tetrahedron
How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th
From playlist Platonic Solids
Cardboard Tetrahedron Pyramid Perfect Circle Solar How to make a pyramid out of cardboard
How to make a pyramid out of cardboard. A tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex.
From playlist HOME OF GREENPOWERSCIENCE SOLAR DIY PROJECTS
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
Chemistry 107. Inorganic Chemistry. Lecture 20.
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 20. Inorganic Chemistry -- Chemistry of the Main Group Elements -- Chalcogens through Noble Gases View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Alan F. Heyduk. License: Creative Commons
From playlist Chem 107: Week 7
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
In this video we make triboluminescent or smash-glow crystals. Triboluminescence is the phenomena where light is generated when something is rubbed or fractured. The exact mechanism by which triboluminescence works is still under investigation, but the best theories so far propose that
From playlist Glow Science
Unique way to divide a tetrahedron in half
This is an interesting geometry volume problem using tetrahedrons. We use the volume of a tetrahedron and Cavalieri's principle in 3D.
From playlist Platonic Solids
The 2010 Nobel Prize in Chemistry - Periodic Table of Videos
The 2010 Nobel Prize in Chemistry is awarded for work relating to palladium catalysis. Our experts explain more. The winners were Richard Heck, Ei-ichi Negishi and Akira Suzuki. More links in description below ↓↓↓ Support Periodic Videos on Patreon: https://www.patreon.com/periodicvideos
From playlist Nobel Prize - Periodic Videos
How Fluorescence Works - The Science
In this video we explore the colorful science of fluorescence. A really cool way to play with fluorescence at home is get a blue or violet laser pointer and shine it into a dish or jar of water where you have added a drop of fluorescent highlighter fluid. You'll clearly see the beam as th
From playlist Glow Science
Which Chemical has the Worst Abbreviation?
This time, we're ranking the abbreviations for chemicals! some chemicals have based abbreviations, while other chemicals have cursed ones. Support the Channel on Patreon - https://www.patreon.com/thatchemist Join the Community Discord! - https://discord.gg/thatchemist Second Discord link
From playlist Chemistry Tierlists
Organic Chemistry 51C. Lecture 19. Organometallic Reactions in Organic Synthesis. (Nowick)
UCI Chem 51C Organic Chemistry (Spring 2012) Lec 19. Organic Chemistry -- Organometallic Reactions in Organic Synthesis -- View the complete course: http://ocw.uci.edu/courses/chem_51c_organic_chemistry.html Instructor: James S. Nowick, Ph.D. License: Creative Commons BY-NC-SA Terms of Us
From playlist Chemistry 51C: Organic Chemistry (Nowick)
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
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
Watch Our Other Video Instead! | Link in Description
Please watch our updated version of this video about the Pythagorean Theorem: https://youtu.be/D8CefsZ5JJ0 #SoME1 Join Suzie as she explores the world of mathematics tiled out on her kitchen floor Credit to the following photographers for their images: https://commons.wikimedia.org/wiki
From playlist Summer of Math Exposition Youtube Videos
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
(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
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