Xah Math Blog

O, math, my true love, how i have alienated thee, and you being quite difficult.

Visual Complex Analysis  Tristan Needham 83391
Visual Complex Analysis

understand the “expansion” operation on polyhedron

understand the “expansion” process on polyhedron. http://VirtualMathMuseum.org/Polyhedra/Icosahedron/index.html

the term polytope is from mathematician Alicia Boole Stott. Alicia Boole Stott

Free Math Textbooks

Free Calculus Textbooks

Theory of Sets by N. Bourbaki

How real are real numbers? By Gregory Chaitin. At https://arxiv.org/pdf/math/0411418.pdf〕 (local copy How_real_are_real_numbers_By_Gregory_Chaitin_f76de.pdf)

gyroscopic precession

Helicopter Physics Series - #4 They're Gyroscopes - Smarter Every Day 48

Learned about gyroscopic precession. Not intuitive. Don't know how the physics works out. But this video is amazing

Visualize Math with 3D Printing

math 3d printing  Sofie M Langdon 2017 03 04
“Home schooler presents the math she's studied via @henryseg's book and some 3D printing. @maanow Golden section art exhibit” 〔image source https://twitter.com/timchartier/status/838147872323330049

Visualizing Mathematics with 3D Printing. one expensive book Buy at amazon

euler's disk

Euler's Disk - Longest Spin Ever

#physics euler's disk. haven't seen this before.

Euler's Disk Buy at amazon

rattleback

this thing, your spin it, and it spins in reverse direction. Due to built up of instability, the rocking.

20 rattlebacks.

rattle back on amazon. Buy at amazon

Math: Density Plots of Trig Expressions. old. repost.

curly dragon curve 02902
Curly dragon curve. 〔 All Plane-Filling Curves By Jeffrey Ventrella. At http://fractalcurves.com/all_curves/

Valentine's Day Gift for a Platonic Relationship: Regular Polyhedrons Chocolates

Google AlphaGo Beats World Champions, 60 to 0

tire print snow pattern
tire print in snow. 〔image source https://plus.google.com/+KazimirMajorinc/posts/7SrScNqV3wp by Kazimir Majorinc, 2017-01-17〕

Kolam pattern

800px Kolam Indigo Dyed Cloth
3x3 symmetry 9 goddesses swastika Kolam with a single cycle by Nagata S, each of which corresponds to one of the nine Devi (Goddess) of the Vedic system 〔image source

Kolam (Tamil-கோலம்) is a form of drawing that is drawn by using rice flour/chalk/chalk powder/white rock powder often using naturally/synthetically colored powders in Tamil Nadu, Karnataka, Andhra Pradhesh, Kerala and some parts of Goa, Maharashtra, Indonesia, Malaysia, Thailand and a few other Asian countries. A Kolam is a geometrical line drawing composed of curved loops, drawn around a grid pattern of dots. In South India, it is widely practised by female Hindu family members in front of their houses.[1] Kolams are regionally known by different names in India, Raangolee in Maharashtra, Aripan in Mithila , Hase and Raongoli in Kannada in Karnataka, Muggulu in Andhra Pradhesh, Golam in Kerala etc.,[2] More complex Kolams are drawn and colors are often added during holiday occasions and special events.

[2017-01-12 Kolam]

many more, see https://twitter.com/mariawirth1/status/810098967761616897

logician Raymond Smullyan is 97 now. ☹

Raymond Smullyan is famous among armature mathematicians for his many books on logic, presented as intriguing logic puzzles.

Knights and Knaves

On a island, all inhabitants are either knights, who always tell the truth, or knaves, who always lie.

John and Bill are residents of the island.

John says: We are both knaves.

Who is what?

here's his books Raymond Smullyan books

Visualizing the Riemann zeta function and analytic continuation
Missing square puzzle
Missing square puzzle

Truly Amazing Euler, Greatest Mathematician. A Intro.

truly amazing Euler, greatest mathematician. Here's his story told by William Dunham, 2008. Save 1 hour to watch.

A Tribute to Euler, by William Dunham, 2008. Talk starts at 1:20.
truncated octahedra chc airport 2016-s
Truncated Octahedrons, Rhombic Triacontahedron, Dodecahedron in Real Life

Best Introduction to Graph Theory

the best introduction to graph theory is this one.

Introduction to Graph Theory  Trudeau
Introduction to Graph Theory By Richard J Trudeau. @ Buy at amazon

if you don't know the basics, get it, read it in a week, 1 hour a day. Once you start reading, you can't put it down.

Adaptive Sampling, Plotting Math Curve

The maths of spherical video

Henry Segerman has been doing amazing things lately.

The story of SageMath. http://wstein.org/papers/talks/2016-06-sage-bp/bp.pdf

excellent story, if you want to know about math software, open source, academia.

here's video version.

the origins of SageMath; I am leaving academia to build a company.

Abuse of Math Notation

Why is Mandelbrot Set Cardioid Shaped?

Times Tables, Mandelbrot and the Heart of Mathematics

more about cardioid here: Cardioid