4-polytopes

Runcinated 120-cells

In four-dimensional geometry, a runcinated 120-cell (or runcinated 600-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 120-cell. There are 4 degrees of runcinations of the 120-cell including with permutations truncations and cantellations. The runcinated 120-cell can be seen as an expansion applied to a regular 4-polytope, the 120-cell or 600-cell. (Wikipedia).

Runcinated 120-cells
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Physics 32.5 Statistical Thermodynamics (34 of 39) Energy Level Example 3

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 In this video we will have 6 distinguishable particles (A, B, C, D, E, F) placed in 5 different energy levels (N0, N1, N2, N3, N4) su

From playlist PHYSICS 32.5 - STATISTICAL THERMODYNAMICS

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Statistics: Ch 7 Sample Variability (3 of 14) The Inference of the Sample Distribution

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 if the number of samples is greater than or equal to 25 then: 1) the distribution of the sample means is a normal distr

From playlist STATISTICS CH 7 SAMPLE VARIABILILTY

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What Are Stem Cells | Genetics | Biology | FuseSchool

What Are Stem Cells | Genetics | Biology | FuseSchool Our bodies are the ultimate factory. Every cell has its specific job to do, and is shaped to do that job perfectly. The fate of each cell is determined during the embryo stage, and then cannot be changed. However, cutting-edge researc

From playlist BIOLOGY: Genetics

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Sperm and Eggs Cells | Cells | Biology | FuseSchool

In this video we learn about the distinct differences of egg and sperm cells, which are also known as gametes. We will see how the chromosomes from each cells come together to form our unique genetic code. The gametes (sperm and egg cells) are haploid - so only have half the number of ch

From playlist BIOLOGY

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Physics 32.5 Statistical Thermodynamics (12 of 39) Number of Microstates Analyzed N=1000

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 In this video I will analyze the number of microstates when N=1000. Next video in the polar coordinates series can be seen at: http:

From playlist PHYSICS MECHANICS 7: THERMODYNAMICS, HEAT EXPANSION, TEMPERATURE, CALORIMETRY, HEAT TRANSFER, 1ST & 2ND LAW, HEAT ENGINES, ENTROPY

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Q23 Paper 2H Nov 2013 GCSE Maths EDEXCEL

Powered by https://www.numerise.com/ Exam www.hegartymaths.com http://www.hegartymaths.com/

From playlist Nov 2013 Edexcel GCSE

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GCSE Science Revision Biology "Bacterial Division" (Triple)

Find my revision workbooks here: https://www.freesciencelessons.co.uk/workbooks In this video, we look at how bacteria divide and how we can calculate the number of bacteria present in a sample after a given amount of time. Image credits: All images were created by and are the property o

From playlist 9-1 GCSE Biology Paper 1 Cell Biology

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GCSE Science Revision Biology "Cell division by Mitosis"

Find my revision workbooks here: https://www.freesciencelessons.co.uk/workbooks In this video, we start by looking at chromosomes. We then explore the cell-cycle involving mitosis and why this is important. Image credits: All images were created by and are the property of Autonomy Educat

From playlist 9-1 GCSE Biology Paper 1 Cell Biology

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Physics 32.5 Statistical Thermodynamics (19 of 39) 6 Molecules in a Box: Microstates in Detail

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 continue from the previous video and look further into the microstates in more detail. Next video in this series can be seen

From playlist PHYSICS 32.5 - STATISTICAL THERMODYNAMICS

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Dual Half 120- and 600-Cells

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/3NgX

From playlist 3D printing

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"Illustrating Geometry" exhibition at SCGP, Artist's talk: "Sculpture in four-dimensions"

Slides: http://www.math.okstate.edu/~segerman/talks/sculpture_in_4-dimensions.pdf This video is also available at the Simons Center website, at http://scgp.stonybrook.edu/archives/11540 Thanks to Josh Klein for filming and editing.

From playlist 3D printing

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MIT 3.60 | Lec 2b: Symmetry, Structure, Tensor Properties of Materials

Part 2: Introduction to Crystallography View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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Toroidal Half 120-Cell

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/68hu

From playlist 3D printing

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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

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Bridges 2012 talk: "Sculptures in S^3"

This is a talk I gave at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 26th July 2012, about my work with Saul Schleimer making 3D printed sculptures from objects in the 3-dimensional sphere, S^3. The slides are a little difficult to see on the video,

From playlist 3D printing

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30-Cell Puzzle

This shows a 3d print of a puzzle I produced using shapeways.com. This is joint work with Saul Schleimer. This is available at http://shpws.me/lmxi. A larger version of the puzzle is available at http://shpws.me/lmxi.

From playlist 3D printing

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AQA Unit 1 Maths Higher November 2010

In this video I work through the complete paper

From playlist Mr Arnold's Unit 1 Higher Revision

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Physics - Thermodynamics 1: Ch 24.1 Variable Heat Transfer (19 of 25) Multiple Conductivity Paths

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the temperature at the junction of a conducting path that splits up into 2 conducting paths such that each conducting path is made of different materials of copper, brass, and steel. Next video

From playlist PHYSICS 24.1 VARIABLE HEAT TRANSFER

Related pages

Hexagon | Alternation (geometry) | Truncated dodecahedron | Runcination | Rhombicosidodecahedron | Pentagonal prism | Vertex figure | John Horton Conway | Triangular prism | Pentagonal antiprism | Decagon | Schlegel diagram | Schläfli symbol | Truncated octahedron | Truncated icosidodecahedron | Dodecahedron | Tetrahedron | Truncated tetrahedron | Icosahedron | Snub dodecahedron | Convex polytope | Coxeter group | Expansion (geometry) | Hexagonal prism | Stereographic projection | Cuboctahedron | Cayley graph | 120-cell | Uniform 4-polytope | Decagonal prism | 600-cell | Coxeter notation | Octahedron | Geometry | Antiprism