6-polytopes

Pentellated 6-orthoplexes

In six-dimensional geometry, a pentellated 6-orthoplex is a convex uniform 6-polytope with 5th order truncations of the regular 6-orthoplex. There are unique 16 degrees of pentellations of the 6-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. Ten are shown, with the other 6 more easily constructed as a pentellated 6-cube. The simple pentellated 6-orthoplex (Same as pentellated 5-cube) is also called an expanded 6-orthoplex, constructed by an expansion operation applied to the regular 6-orthoplex. The highest form, the pentisteriruncicantitruncated 6-orthoplex, is called an omnitruncated 6-orthoplex with all of the nodes ringed. (Wikipedia).

Pentellated 6-orthoplexes
Video thumbnail

14K Polar Form of Complex Numbers and the nth Root

An equation for calculating the n-th root of any number.

From playlist Linear Algebra

Video thumbnail

14J Polar Form of Complex Numbers and the nth Root

Another method of expressing complex numbers.

From playlist Linear Algebra

Video thumbnail

1 Hour Landscape Watercolor Study with Set-Up

One of my "Little Gems" 5X7" watercolors of a Wyoming lake scene. Before I start, I show you all of my tools used. After I finish the painting I show you how I frame it to be able to sell it as an inexpensive study. Sometimes I go on and do an oil painting from these small studies if I thi

From playlist Watercolor Tutorials and Demos

Video thumbnail

14L Polar Form of Complex Numbers and the nth Root

The n-th root of a number.

From playlist Linear Algebra

Video thumbnail

Determining the Nth Roots of a Complex Number

This video explains how to determine the nth roots of a complex number. http://mathispower4u.wordpress.com/

From playlist Complex Numbers

Video thumbnail

20. Roman Wine in Greek Bottles: The Rebirth of Athens

Roman Architecture (HSAR 252) Professor Kleiner discusses the rebirth of Athens under the Romans especially during the reigns of the two philhellenic emperors, Augustus and Hadrian. While some have dismissed the architecture of Roman Athens as derivative of its Classical and Hellenistic

From playlist Roman Architecture with Diana E. E. Kleiner

Video thumbnail

Find the nth root on desmos

In this video, we show how to find the nth root on desmos

From playlist desmos

Video thumbnail

NASA's Million Dollar Space Pen vs The Soviet Pencils

The story of the NASA’s million $ space pen and the soviet pencils has become one of the enduring tales from the space race which still floats around the internet today and goes a bit like this. Patreon : https://www.patreon.com/curiousdroid Paypal.me : https://www.paypal.me/curiousdroid

From playlist Apollo Related Videos

Video thumbnail

Express the Complex Number -3 + 3i in Polar Form

In this video we express the complex number -3 + 3i in polar form. To do this we first find the modulos and then we set the complex number equal to its polar form r(cos(theta) + isin(theta)). This allows us to solve for theta. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear

From playlist Trigonometric (Polar) Form of Complex Numbers

Video thumbnail

Example of Fourier's Trick

Linear Algebra: Given an orthonormal basis of R^n, we present a quick method for finding coefficients of linear combination in terms of the basis. We also give an analogue of Parseval's Identity, which relates these coefficients to the squared length of the vector.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

Video thumbnail

10. Accessing Afterlife: Tombs of Roman Aristocrats, Freedmen, and Slaves

Roman Architecture (HSAR 252) Professor Kleiner explores sepulchral architecture in Rome commissioned by the emperor, aristocrats, successful professionals, and former slaves during the age of Augustus. Unlike most civic and residential buildings, tombs serve no practical purpose other

From playlist Roman Architecture with Diana E. E. Kleiner

Video thumbnail

African Lion Watercolor Gouache Painting Demo

If you love painting wildlife, especially big cats, this demo is for you. Heck, it's for you if you love to paint... or watch someone else paint! I do the drawing, the watercolor, and the finishing gouache detail layer so that you can see my entire process and try it on your own. My hope i

From playlist Watercolor Tutorials and Demos

Video thumbnail

Approximating nth Roots of any number (Summer of Math Exposition)

In this, video, I wanted to share some great methods to take square roots and also nth roots of any number, in the video, we take a look at the Babylonian method for square roots (the one with upper and lower bounds) and also a more generalized one using the Binomial Theorem

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Alexander Sarcophagus

The Alexander Sarcophagus, c. 312 B.C.E., Pentelic marble and polychromy, found in Sidon, 195 x 318 x 167 cm (İstanbul Archaeological Museums). Speakers: Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker. Created by Steven Zucker and Beth Harris.

From playlist Art of the ancient Mediterranean | Art History | Khan Academy

Video thumbnail

13. The Prince and the Palace: Human Made Divine on the Palatine Hill

Roman Architecture (HSAR 252) Professor Kleiner investigates the major architectural commissions of the emperor Domitian, the last Flavian emperor. She begins with the Arch of Titus, erected after Titus' death by his brother Domitian on land previously occupied by Nero's Domus Transitor

From playlist Roman Architecture with Diana E. E. Kleiner

Video thumbnail

14N Polar Form of Complex Numbers and the nth Root

Example problems with n-th roots.

From playlist Linear Algebra

Video thumbnail

Math Dispute Breakdown: In Defense of Analysis

Summary of my discussion with Professor NJ Wildberger on whether we can admit the notions of infinity that appear in the theory of analysis. I try to make my arguments more clear, add some comments about what we discussed, and set up the important points for further debate. My discussion

From playlist Daniel Rubin Show, Full episodes

Video thumbnail

Biomimetic Total Synthesis of Enterocin

An organic chemistry minilecture on the Biomimetic Total Synthesis of Enterocin by Lilla Koser, Vivian Miles Lechner, and Thorsten Bach* . It uses highly selective oxidation chemistry and conformational preorganization to accomplish a base-promoted cyclization cascade. SUPPORT THE CHANN

From playlist Total Synthesis

Video thumbnail

14M Polar Form of Complex Numbers and the nth Root

Example problems with n-th roots.

From playlist Linear Algebra

Video thumbnail

[Pandas Tutorial] how to drop duplicates

This is 3 minutes demo, how to drop duplicates when you practice, you can refer to below jupyter notebook, https://github.com/minsuk-heo/pandas/blob/master/Pandas_Cheatsheet.ipynb

From playlist Pandas Tutorial

Related pages

Truncation (geometry) | 6-cube | Convex polytope | Schläfli symbol | Coxeter group | Uniform 6-polytope | Expansion (geometry) | Geometry | Harold Scott MacDonald Coxeter | Vertex figure | 6-orthoplex