# 24-cell

In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,4,3}. It is also called C24, or the icositetrachoron, octaplex (short for "octahedral complex"), icosatetrahedroid, octacube, hyper-diamond or polyoctahedron, being constructed of octahedral cells. The boundary of the 24-cell is composed of 24 octahedral cells with six meeting at each vertex, and three at each edge. Together they have 96 triangular faces, 96 edges, and 24 vertices. The vertex figure is a cube. The 24-cell is self-dual. It and the tesseract are the only convex regular 4-polytopes in which the edge length equals the radius. The 24-cell does not have a regular analogue in 3 dimensions. It is the only one of the six convex regular 4-polytopes which is not the four-dimensional analogue of one of the five regular Platonic solids. However, it can be seen as the analogue of a pair of irregular solids: the cuboctahedron and its dual the rhombic dodecahedron. Translated copies of the 24-cell can tile four-dimensional space face-to-face, forming the 24-cell honeycomb. As a polytope that can tile by translation, the 24-cell is an example of a parallelotope, the simplest one that is not also a zonotope. (Wikipedia).

Vertex centered 24-Cell

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

From playlist 3D printing

24-Cell

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/11g4

From playlist 3D printing

Dual Half 24-Cells

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

From playlist 3D printing

Algebra - Ch. 24: Complex Numbers (17 of 28) Simplify

Visit http://ilectureonline.com for more math and science lectures! We will simplify 3 imaginary numbers. To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 . Next video in this series can be seen at: https://youtu.be/HKyOUtYAja8

From playlist ALGEBRA CH 24 COMPLEX NUMBERS

Algebra - Ch. 24: Complex Numbers (3 of 28) Imaginary Numbers: A Closer Look

Visit http://ilectureonline.com for more math and science lectures! We will take a closer look at imaginary numbers of i=?, i^2 not=1, i^2=? I^3=?, … , i^9=? To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 . Next video in this series can be seen at:

From playlist ALGEBRA CH 24 COMPLEX NUMBERS

Algebra - Ch. 24: Complex Numbers (28 of 28) FIND THE SQRT(3+4i)=?

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 find SQRT(3+4i)=? First video in this series can be seen at: https://youtu.be/yk1Z2kG8tF4

From playlist ALGEBRA CH 24 COMPLEX NUMBERS

Factorisation (2 of 4: Unlocking a number's structure)

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From playlist Mathematical Exploration

Algebra - Ch. 24: Complex Numbers (11 of 28) Multiplying Complex Conjugates

Visit http://ilectureonline.com for more math and science lectures! We will multiply complex conjugates. To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 . Next video in this series can be seen at: https://youtu.be/5B6Q2eTYUYU

From playlist ALGEBRA CH 24 COMPLEX NUMBERS

Algebra - Ch. 24: Complex Numbers (1 of 28) What are Complex Numbers?

Visit http://ilectureonline.com for more math and science lectures! We will learn what are complex numbers and how it compose of the sum of imaginary, real, rational, irrational, integers, non-integers rational, fractions, negative integers, and natural numbers. To donate: http://www.ile

From playlist ALGEBRA CH 24 COMPLEX NUMBERS

Excel & Business Math 29: Time Number Formatting & Time Calculations in Excel for Payroll Table

From playlist Excel Payroll & Time Tricks

Excel Basics 10: Date & Time Number Formatting, Formulas, Functions & Calculations

Excel Magic Trick 850: Conditional Format More Than 24 Hours (3 Examples)

Download Excel Start File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/EMT850-853.xlsm Download file: https://people.highline.edu/mgirvin/ExcelIsFun.htm Learn how to: 1. Conditional Format cell with more than 24 hours built-in feature 2. Conditional Format cell with more than 24

From playlist Excel Conditional Formatting Tricks

Office 2010 Class #28: Excel Number Formatting: Formatting As Façade

Excel Start File: https://people.highline.edu/mgirvin/AllClasses/216_2010/Content/04Excel/Excel2010IsFun!START.xlsm Excel Finished File: https://people.highline.edu/mgirvin/AllClasses/216_2010/Content/04Excel/Excel2010IsFun!FINISHED.xlsm Free Excel 2010 book: https://people.highline.edu/mg

Office 2013 Class #29: Excel Basics 11: Number Formatting & Formulas Don't Get Tricked By The Façade

Download files: https://people.highline.edu/mgirvin/AllClasses/216_2013/Content/04Excel/Excel2013.htm This video teaches: 1. Formulas Don't Calculate Upon Number Formatting(00:48 min) 2. General Number Formatting: "The Number Format Eraser" (02:11 min) 3. General Number Formatting Keyboar

Slaying Excel Dragons Book #6: Number Formatting As Façade: Decimal, Date, Time, Percentage

Download files: https://people.highline.edu/mgirvin/ExcelIsFun.htm Learn Excel from beginning to end. Complete Lessons about Excel. This video series accompanies the published book, Slaying Excel Dragons, ISBN 9781615470006 Chapter 3: Number Formatting As Façade: Decimal, Date, Time, Perce

Excel Magic Trick 1359: Split Times Values Into 8 Equal Zones: VLOOKUP, LOOKUP or INT/HOUR?

Download Files: Start File and Finished File: https://excelisfun.net/files/EMT1359.xlsx Learn about the basics of the VLOOKUP Function and about Time Values in Excel. Topics in this video: 1. (00:12) Introduction to goal of video 2. (01:08) Build Lookup Table with Time Values/Time Cate

From playlist Excel Lookup Functions & Formulas Beg - Adv

Algebra - Ch. 24: Complex Numbers (4 of 28) Imaginary Numbers & the Number Line

Visit http://ilectureonline.com for more math and science lectures! We will learn about the imaginary numbers and the number line. All real numbers are on the number line. All irrational numbers can be defined as being between 2 rational numbers. To donate: http://www.ilectureonline.com/

From playlist ALGEBRA CH 24 COMPLEX NUMBERS