Pentagonal tilings | Regular 3-honeycombs | Isochoric 3-honeycombs | Honeycombs (geometry) | Order-n-4 3-honeycombs | Order-4-n 3-honeycombs | Isogonal 3-honeycombs
In the geometry of hyperbolic 3-space, the order-4-4 pentagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. (Wikipedia).
These sculptures are joint work with Roice Nelson. They are available from shapeways.com at http://shpws.me/oNgi, http://shpws.me/oqOx and http://shpws.me/orB8.
From playlist 3D printing
Geometry: Ch 4 - Geometric Figures (8 of 18) The Regular Pentagon
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the 3 angles of the regular pentagon and its parameter and area. Next video in this series can be seen at: https://youtu.be/3G_jjW1d280
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
Bridges 2018 talk - Visualizing hyperbolic honeycombs
This is a talk I gave at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 27th July 2018, about my JMA paper with Roice Nelson: https://www.tandfonline.com/doi/abs/10.1080/17513472.2016.1263789 Many high resolution images at hyperbolichoneycombs.org Ray-m
From playlist Talks
Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51
The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str
From playlist Universal Hyperbolic Geometry
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
A space-filling polyhedron, based on the Weaire-Phelan foam
The Weaire-Phelan foam is a relaxation of a packing of irregular dodecahedra and tetrakaidecahedra. Dissect the dodecahedra into pentagon-based pyramids by adding a vertex at the center, then glue their bases to the surrounding tetrakaidecahedra. Amazingly the faces line up and the result
From playlist Geometry
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
Amina Buhler - The Magic of Polytopes-Mandalas - CoM July 2021
Polytopes are 3-Dimensional shadows from higher dimensional polyhedra (4-Dimensional & above). These 3-D shadows, when rotated suddenly out of chaos, line-up & reveal, cast mandala patterns into 2-D of 2,3, & 5-fold symmetry. While constructing a stainless steel 120-cell (4-D dodecahed
From playlist Celebration of Mind 2021
The Mysterious Architecture of the Universe - with J Richard Gott
J Richard Gott leads a journey through the history of our understanding of the Universe’s structure, and explains the ‘cosmic web’: the idea that our Universe is like a sponge made up of clusters of galaxies intricately connected by filaments of galaxies. Watch the Q&A here: https://youtu
From playlist Ri Talks
Cyclohexanes: Crash Course Organic Chemistry #7
Hexagons appear all over the natural world from honeycomb to bubbles, and they even appear in organic chemistry! In this episode of Crash Course Organic Chemistry, we're learning all about cyclohexanes, including how rings pucker to relieve strain, the boat and chair conformations, and how
From playlist Organic Chemistry
Geometry: Ch 4 - Geometric Figures (9 of 18) The Regular Pentagon Analyzed with Trig
Visit http://ilectureonline.com for more math and science lectures! In this video I will further explain the regular pentagon using trigonometry the details of the regular pentagon. Next video in this series can be seen at: https://youtu.be/68gZJwZJeZ0
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
Determining if a set of points is a rhombus, square or rectangle
👉 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
How to 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
Amazon Honeycode | Build An Application Without Coding | AWS Training | Edureka | AWS Rewind - 4
🔥Edureka AWS Certification Training: https://www.edureka.co/aws-certification-training This "Amazon Honeycode Tutorial" video by Edureka will help you understand what exactly is Amazon Honeycode and how you can create an application using honeycode without any programming. 🔹Checkout Edur
From playlist AWS Tutorial Videos
The Mystery of the Fibonacci Cycle
A video about the mysterious pattern found in the final digits of Fibonacci numbers. It turns out, if you write out the full sequence of Fibonacci numbers, the pattern of final digits repeats every 60 numbers. What’s up with that? Watch this video and you’ll find out! (My apologies to any
From playlist Summer of Math Exposition Youtube Videos
How to Construct a Dodecahedron
How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode
From playlist Platonic Solids
Fiona Burnell - Lattice Topological Phases - IPAM at UCLA
Recorded 01 September 2021. Fiona Burnell of University of Minnesota, Twin Cities, presents "Lattice Topological Phases" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-sc
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Emergent SU(4) Symmetry in alpha-ZrCl3 by Masaki Oshikawa
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
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