Regular tessellations | 6-polytopes | Honeycombs (geometry)

5-cubic honeycomb

In geometry, the 5-cubic honeycomb or penteractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 5-space. Four 5-cubes meet at each cubic cell, and it is more explicitly called an order-4 penteractic honeycomb. It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space, and the tesseractic honeycomb of 4-space. (Wikipedia).

Video thumbnail

Hyperbolic honeycombs

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

Video thumbnail

Three space-filling shapes hiding in the structure of diamond

Diamond is an arrangement of carbon atoms called the diamond cubic structure. As well as the cubes there are two other space-filling shapes that are found within it. In the unit cell I say "three more inside". It should of course be "four more inside". https://en.wikipedia.org/wiki/Diamo

From playlist Geometry

Video thumbnail

Geometry - Ch. 5: Triangle (1 of TBD) What is a Triangle?

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the definition of a triangle is a geometric shape that has 3 sides and 3 angles. Next video in this series on YouTube:

From playlist GEOMETRY CH 5 TRIANGLES

Video thumbnail

4. Honeycombs: In-plane Behavior

MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson This session includes a review of honeycombs, and explores the mechanical properties of honeycombs. License: Creative Commons BY-N

From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015

Video thumbnail

Geometry: Ch 4 - Geometric Figures (15 of 18) The Right Circular Cone

Visit http://ilectureonline.com for more math and science lectures! In this video I will define the right circular cone, and explain the equations of its surface area and volume. Next video in this series can be seen at: https://youtu.be/QTuyo-_2iTQ

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

Video thumbnail

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

Video thumbnail

7. Natural Honeycombs: Cork; Foams: Linear Elasticity

MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson This session begins with a look at cork as a natural honeycomb structure, and covers properties of foams and some modeling. Licens

From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015

Video thumbnail

Geometry - Basic Terminology (11 of 34) Definition of Polygons and Convex Polygons

Visit http://ilectureonline.com for more math and science lectures! In this video I will define what are polygons and convex polygons. Next video in the Basic Terminology series can be seen at: http://youtu.be/N3wvmbsaFwQ

From playlist GEOMETRY 1 - BASIC TERMINOLOGY

Video thumbnail

6. Natural Honeycombs: Wood

MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson This session covers wood structure, micro-structure, stress-strain, honeycomb models, and bending. License: Creative Commons BY-NC

From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015

Video thumbnail

Reaching for Infinity Through Honeycombs – Roice Nelson

Pick any three integers larger than 2. We describe how to understand and draw a picture of a corresponding kaleidoscopic {p,q,r} honeycomb, up to and including {∞,∞,∞}.

From playlist G4G12 Videos

Video thumbnail

Why do Bees build Hexagons? Honeycomb Conjecture explained by Thomas Hales

Mathematician Thomas Hales explains the Honeycomb Conjecture in the context of bees. Hales proved that the hexagon tiling (hexagonal honeycomb) is the most efficient way to maximise area whilst minimising perimeter. Interview with Oxford Mathematician Dr Tom Crawford. Produced by Tom Roc

From playlist Mathstars

Video thumbnail

Inverse problem by Abhinav Kumar

DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

Video thumbnail

Tailoring Topological Phases: A Materials Perspective by Tanusri Saha-Dasgupta

DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental

From playlist Novel Phases of Quantum Matter 2019

Video thumbnail

An Introduction to Tensor Renormalization Group (Lecture 4) by Daisuke Kadoh

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

Video thumbnail

Monomer Percolation by Kedar Damle

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

Video thumbnail

Supersymmetry on the lattice: Geometry, Topology, and Spin Liquids by Simon Trebst

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

Video thumbnail

8. Foams: Non-linear Elasticity

MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson This session begins with a viewing of video on Hooke's Micrographia, then covers compressive strength and fracture toughness of foa

From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015

Video thumbnail

2020 Theory Winter School: Hae-Young Kee (pt2)

Topic: Microscopic theory of Kitaev & Gamma interactions in honeycomb magnetic systems Part 2 For more information on the 2020 Theory Winter School: https://nationalmaglab.org/news-events/events/for-scientists/winter-theory-school

From playlist 2020 Theory Winter School

Video thumbnail

Román Orús: "News on tensor network simulations for quantum matter and beyond"

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop II: Tensor Network States and Applications "News on tensor network simulations for quantum matter and beyond" Román Orús - Donostia International Physics Center Abstract: In this talk I will make an

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

Video thumbnail

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

Related pages

5-cube | 6-cube | 5-demicubic honeycomb | Alternation (geometry) | 5-simplex honeycomb | Wythoff construction | 16-cell | Schläfli symbol | Tesseractic honeycomb | Five-dimensional space | 5-demicube | Harold Scott MacDonald Coxeter | Tessellation | Honeycomb (geometry) | Regular polytope | Tesseract | Square | Voronoi tessellation | Coxeter group | Cube | Expansion (geometry) | N-sphere | Square tiling | Regular Polytopes (book) | Omnitruncated 5-simplex honeycomb | 5-orthoplex | Octahedron | Geometry | Cubic honeycomb