Hyperbolic tilings | Isogonal tilings | Semiregular tilings | Truncated tilings
In geometry, the truncated triheptagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one hexagon, and one tetradecagon (14-sides) on each vertex. It has Schläfli symbol of tr{7,3}. (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
Images in Math - Polygon Triangulations
This video is about triangulations of polygons.
From playlist Images in Math
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
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
Code-It-Yourself! Simple Tile Based Platform Game #1
This video shows how to make a simple yet smooth tile-based 2D platform game, similar to classic offerings from older consoles. It uses nothing but the Windows Command Prompt to demonstrate robust collisions between the scenery and the player. All collisions are resolved using floating poi
From playlist Code-It-Yourself!
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
Super Fast Ray Casting in Tiled Worlds using DDA
In this video I look at how the "traditional OLC" method of raycasting in various videos is in fact terrible, and look at the more intelligent DDA algorithm which can significantly (orders of magnitude) be more effective at determining ray length in tile or voxel based worlds. Source: htt
From playlist Interesting Programming
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
Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021
If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc
From playlist Celebration of Mind 2021
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
The Honeycombs of 4-Dimensional Bees ft. Joe Hanson | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Be sure to check out It's OK to be Smart's video on nature's love of hexagons https://youtu.be/Pypd_yKGYpA And try CuriosityStream today: http://curiositystream.com/inf
From playlist Higher Dimensions
Rose Kaplan-Kelly: Right-angled Links in Thickened Surfaces
Rose Kaplan-Kelly, Temple University Title: Right-angled Links in Thickened Surfaces Traditionally, alternating links are studied with alternating diagrams on $S^2$ in $S^3$. In this talk, we will consider links which are alternating on higher genus surfaces $S_g$ in $S_g \times I$. We wil
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Arbitrary Rectangle Collision Detection & Resolution - Complete!
In this video I once and for all solve axis aligned rectangle collision detection, demonstrating algorithms to handle arbitrary size rectangle vs rectangle collisions and collision resolution, applicable to "rectangle soups" or tile map based interactions. Source: https://github.com/OneL
From playlist Interesting Programming
Simone WARZEL - Mathematical challenges and results related to fractional quantum systems
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Simplify a trig expression by multiplying a cosine
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple trigonometric function. This can be achieved by various means i
From playlist How to Simplify Trigonometric Expressions by Multiplying
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