Doc Benton's Academy for Mathematical, Astrological, and Kabbalistic Wizards!


Maple Syrup ~ LiveMath


Welcome to "Doc Benton's Academy for Mathematical, Astrological, and Kabbalistic Wizards!" I have been retired for an indeterminate amount of time, and this site, like a freeway in Texas, will be under construction forever. Nonetheless, below is what I have accomplished so far in my quest to create a very brief, 900-page introduction to group theory that either an intelligent high school student or a caveman working for GEICO could benefit from. And as the erroneous perception of linear time goes by, I will clean up and simplify the text as much as possible in order to make everything perfectly clear and unambiguous. Enjoy!

A Child's Garden of Groups

An introduction to the mathematical theory of
groups for young and old!
Subgroups, Cosets and Equivalence Relations! Dihedral Groups, Symmetric Groups, Alternating
Groups, Direct Products, and Semidirect Products!
The Structure of Groups of Order 1 through 10 Visual Representations of Groups Frieze Groups, Wallpaper Groups, and Free
Range Symmetry
Matrix Groups Deep Inside Rubik’s Cube Proving Theorems! Isomorphisms, Homomorphisms, and Theorems

Doc Benton's Journal


The Best of Doc Benton

Einstein's Theory of Special Relativity E=mc-squared in One Page! Pi Day! The Pythagorean Theorem How to factor trinomials - proof Reflections on Educational Practices in
Rabbbinic Literature
Best Practices Algebraic Models for Constructivist Theories of Perception Forbidden Secrets of Multivariable Calculus Multivariable Calculus Software Tools
Greatest Common Divisors The Torah of Pi Infinity The Book of the Assembler Kabbalah Class The Unreality of Reality Running and Returning In the Beginning ... Righteousness and the Tabernacle Doc Benton and the Case of the Missing God (For Mad Men Only)
One Page Torah The Shape of Things to Come Notes on the Essence of Jewish Mysticism Q-Astrology: Quaint, Quantitative, Quotient, Questing, Questioning The Leviticus Cookbook Jewish Wisdom Quotes Doc Benton's Astrological Research Centre Aba

General Math

Statistics Business Calculus Advanced Business Math Multivariable Calculus Factoring Examples How to Solve a Cubic Equation How to Solve a Quartic Equation Doc Benton's Video Ranch Math Song Final Talk


Statistics Examples

Statistics and Austerity Economics

Statistics and Gun Laws

Statistics and the Media

Statistics and Biased Studies

Statistics and Reporting

Statistics and Measurement Error

Statistics and Causation

Statistics and Climate Change

Statistics and Graphs

Statistics and Demographic Changes

Statistics and Early Death

Statistics and Biased Interpretations

Statistics and Biased Samples

Statistics and Not So Good Graphs

Sampling Error


Differential Equations

What is a Differential Equation? Separable Differential Equations Exact Differential Equations Integrating Factors Constant Coefficients Springs The Incredible Harmonic Oscillator! Laplace Transforms Doc Benton's Favorite Laplace Transforms Gamma Function


Astrology 2022

The 2022 Jupiter/Neptune Conjunction (pdf) The 2022 Jupiter/Neptune Conjunction (slideshow) 2022 Aspects that I Worry About Russia, Ukraine, USA My Predictions for 2022 My Predictions for 2022 with notes Summary of My Weather Report for 2022 Transits for Russia and Ukraine  Election Day 2022 Something Good
The Best Day of the Decade The Summer of Love The Summer of Nonbinary Love & Cannabis Death and Transformation A Pleasant Summer American Fanaticism American Exceptionalism Jupiter conjunct Neptune in Pisces - 1856 Jupiter conjunct Neptune in Pisces - 2022 Civil War 1861
Civil War 2026 Mars Goes Retrograde USA July 2nd Libra Rising Chart USA July 4th Gemini Rising Chart USA July 4th Sagittarius Rising Chart USA Articles of Confederation USA Constitution Transits for Joe Biden 2022 Astrology Podcast for the Year Ahead Themes for 2022 (Pam Gregory)
Global 2022 Jupiter/Neptune Conunction (Pam Gregory) Pluto in 2022 Rick Levine's Astrology Forecast for January 2022 New Moon in Capricorn 2nd January 2022 Full Moon in Cancer 17th January 2022  February 2022 Astrology Podcast Rick Levine's Astrology Forecast for February 2022 New Moon in Aqauarius 1st February 2022 Full Moon in Leo 16th February 2022
February 2022 Vladimir Putin March 5 2022 Mars/Venus Conjuncton March 6 2022 Spring Equinox March 20 2022 Joe Biden March 25 2022 Ukraine Hard Transits Russia Hard Transits Putin Hard Transits Biden Hard Transits America Hard Transits
Zelenskyy Hard Transits China Hard Transts Timeline March 12 through April 30 Barbault Planetary Cycle Index            



Graphic Ephemeris 2023 Graphic Ephemeris USA 2023 Graphic Ephemeris Russia 2023 Graphic Ephemeris Ukraine 2023 Graphic Ephemeris China 2023 Graphic Ephemeris Iran 2023 Graphic Ephemeris Me 2023 Graphic Ephemeris Susan 2023 Graphic Ephemeris Putin 2023 Graphic Ephemerics Biden 2023
Graphic Ephemeris Zelenskyy 2023 Graphic Ephemeris Xi Jinping 2023 USA Planetary Stations 2023 My Planetary Stations 2023 Susan's Planetary Stations 2023


Equinoxes and Solstices

Spring Equinox 2023 Summer Solstice 2023 Fall Equinox 2023 Winter Solstice 2023
Previous Winter Solstice      



Full Moon January 6 2023 New Moon January 21 2023 Full Moon February 5 2023 New Moon February 20 2023 Full Moon March 7 2023 New Moon March 21 2023 Full Moon April 5 2023 Solar Eclipse April 19 2023 Lunar Elipse May 5 2023 New Moon May 19 2023 Full Moon June 3 2023 New Moon June 17 2023
Full Moon July 3 2023 New Moon July 17 2023 Full Moon August 1 2023 New Moon August 16 2023 Full Moon August 30 2023 New Moon September 14 2023 Full Moon September 29 2023 Solar Eclipse October 14 2023 Lunar Eclipse October 28 2023 New Moon November 13, 2022 Full Moon November 27 2023 New Moon December 12 2023
Full Moon December 26 2023  


Monthly Transits

New Moon 1st Quarter Moon Full Moon 3rd Quarter Moon
Monthly 4th Harmonics Monthly 6th Harmonics Monthly 8th Harmonics Monthly 12th Harmonics
Transit Grid Transit Scan Transit Interpretation Transit EXL
My Transit Grid My Transit Scan My Transit Interpretation My Transit EXL
Susan's Transit Grid Susan's Transit Scan Susan'sTransit Interpretation Susan's Transit EXL
My 4th Harmonics My 6th Harmonics My 8th Harmonics My 12th Harmonics
Susan's 4th Harmonics Susan's 6th Harmonics Susan's 8th Harmonics Susan's 12th Harmonics
USA 4th Harmonics USA 6th Harmonics USA 8th Harmonics USA 12th Harmonics
Biden 4th Harmonics Biden 6th Harmonics Biden 8th Harmonics Biden 12th Harmonics
Trump 4th Harmonics Trump 6th Harmonics Trump 8th Harmonics Trump 12th Harmonics
Putin 4th Harmonics Putin 6th Harmonics Putin 8th Harmonics Putin 12th Harmonics
Zelenskyy 4th Harmonics Zelenskyy 6th Harmonics Zelenskyy 8th Harmonics Zelenskyy 12th Harmonics
My Chart My Aspects Susan's Chart Susan's Aspects
USA July 2 USA July 4 Joe Biden Donald Trump
Vladimir Putin Russia Volodymyr Zelenskyy Ukraine
Sign Changes Ingresses Stations Conjunctions
My Yearly Stations Susan's Yearly Stations Putin Yearly Stations Trump Yearly Stations
USA Yearly Stations Biden Yearly Stations China United Kingdom
Xi Jinping Russia 4th Harmonics Ukraine 4th Harmonics China 4th Harmonics
United Kingdom 4th Harmonics      

Daily Chart



Geocentric Aspects

Heliocentric Aspects

Solar Weather





International Society for Astrological Research Aquarius Papers Astrology Arizona The Historical Ephemeris Astrology Land Spirit Grooves Cosmic Patterns Matrix Software Solar Fire Changing of the Gods
The First 32 Harmonics Capricorn Astrology Research Astrodienst Chris Brennan Astrology Steve Judd Astrology Astrotheme The Mountain Astrologer AstroApp Luna Astrology Using the Vedic saptamsa &
navamsa charts
in western tropical astrology
Astrology cafe Astrology King The Astrology Podcast The Hellenistic Astrology Website Seven Stars Astrology  Astro-seek https://zodiacalreleasing.net/ http://nataltransits.com/
Raymond Merriman Astrodatabank
http://mundaneastrologers.com/ Historical Astrology Astrology Critics Gravimetric Tides Kapiel Raal Vedic Astrology Sam Geppi Vedic Astrology The Astrological Association Time_Dependent_Nuclear_
Doc Benton's Astrological Research Centre  www.astrologer.com
Cycles Research Institute RGCSA Friends of Astrology Houston Astrological Society The Cosmobiology Institute          

Netflix Prime Video Hulu Disney Plus HBO Max Roku Youtube TV Youtube Washington Post Amazon
Pandora Sefaria Pubmed GoDaddy Facebook Bank of America Fidelity USA Facts Census BLS
Data United Nations Google Arizona State Retirement System USAA Mr. Cooper Bank of America Associated Press Reuters News Zippy
Chat GPT                  

Ben Stenhaug Teaching R Tibble R tutorial R for Data Science Statistics Globe        


Astrology Videos

David Cochrane Astrology Rick Levine Astrology Steve Judd Astrology The Astrology Podcast Pam Gregory Astrology Bracha Goldsmith Astrology Elizabeth Peru Astrology Kapiel Raaj Vedic Astrology Sam Geppi Vedic Astrology

Mundane Astrology

USA July 2, 1776 Russia China Ukraine United Kingdom Israel Iran Germany Canada Mexico
Neptune/Jupiter 1856 Pluto/Neptune 1892 Chiron/Saturn 1966 Pluto/Uranus 1966 Neptune/Saturn 1989 Neptune/Uranus 1993 Pluto/Chiron 1999 Chiron/Jupiter 2009 Neptune/Jupiter 2009 Neptune/Chiron 2010
Pluto/Saturn 2020 Pluto/Jupiter 2020 Saturn/Jupiter 2020 Neptune/Jupiter 2022 Joe Biden Vladimir Putin Donald Trump Current Transits Election Day 2022 Something Good
The Best Day of the Decade The Summer of Love The Summer of Nonbinary Love & Cannabis Jupiter conjunct Neptune in Pisces - USA 1856 Jupiter conjunct Neptune in Pisces - USA 2022 Civil War 1861 Civil War 2026 September 11 Attack Transits 3-28-2022 Venus conjunct Saturn Transits 3-31-2022 New Moon
Transits 3-31-2022 Moscow, Russia Transits 3-31-2022 Berlin, Germany Transits 4-2-2022 Sun/Mercury/Chiron conjunction Transits 4-2-2022 Sun/Mercury/Chiron conjunction - Los Angeles, California Transits 4-4-2022 Saturn conjunct Mars Transits 4-4-2022 Saturn conjunct Mars - Washington, D.C. Transits 4-4-2022 Saturn conjunct Mars - Kiev, Ukraine Transits 4-4-2022 Saturn conjunct Mars - Moscow, Russia Transits 4-4-2022 - Vladimir Putin Transits 4-5-2022 Mars square Lunar Nodes - New York, New York
Transits 4-8-2022 1st Quarter Transits 4-8-2022 1st Quarter - Moscow, Russia Transits 4-8-2022 1st Quarter - Limoges, France Transits 4-9-2022 Transits 4-11-2022 Saturn square Lunar Nodes Transits 4-12-2022 Jupiter conjunct Neptune Transits 4-12-2022 - San Francisco, United States Transits 4-12-2022 - Stockholm, Sweden Transits 4-16-2022 Full Moon Transits 4-16-2022 - Scottsdale, Arizona
Transits 4-23-2022 - The end of "Kala Sarpa Yoga" as Mercury reaches the other side of a Lunar Node Transits 4-27-2022 Venus conjunct Neptune Transits 4-29-2022 Pluto retrograde Transits 4-30-2022 Solar Eclipse Transits 4-30-2022 Solar Eclipse - Los Angeles, California Transits 4-30-2022 Solar Eclipse - Washington DC, United States Putin Mars square Moon 4-18-2022 Putin Uranus inconjunct Sun 4-19-2022 Putin Jupiter square Mars 4-23-2022 Putin Chiron opposition Sun 4-29-2022
American Transits Expected and Observed for 2022 Expected and Observed Video (Part 1) Expected and Observed Video (Part 2) Expected and Observed Video (Part 3) Expected and Observed Video (Part 4) Is America Headed Toward Another Civil War? (Video) Is America Headed Toward Another Civil War? Changing Times - The 2020s and Beyond (Video) USA July 2, 1776, 0-Aries
Joe Biden Joe Biden 4th Harmonic USA 4th USA 6th USA 8th USA 12th Mars USA 4th Mars USA 6th 4th Harmonic Transits 6th Harmonic Transits
World 4th World 6th World 8th World 12th Mars World 4th Mars World 6th Mars World 8th Mars World 12th Sign Changes Ingresses
USA 4th 2023 USA 6th 2023 USA 8th 2023 USA 12th 2023 Mars USA 4th 2023 Mars USA 6th 2023 Mars USA 8th 2023 Mars USA 12th 2023 USA July 2, 1776 Stations
Russia 4th 2023 Russia 6th 2023 Russia 8th 2023 Russia 12th 2023 Mars Russia 4th 2023 Mars Russia 6th 2023 Mars Russia 8th 2023 Mars Russia 12th 2023 Russia USA Libra Saturn/Chiron Arc Transform
2023 The Next Three Months in America Top Astrological Events for America and the World in 2023 (pdf) Top Astrological Events for America and the World in 2023 (video) March Madness (pdf) March Madness (video part 1) March Madness (video part 2)      


Astrological Calendars

My Calendar Susan's Calendar USA Calendar Biden Calendar Putin Calendar Russia Calendar Ukraine Calendar Zelenskyy Calendar    

My Natal Charts

Regiomontanus Whole Midpoints Placidus Porphyry Koch Aries Equal Campanus Medieval 
Arabic Parts Hellenistic Aspects Stars Sidereal Baytown Houston Austin Alvin Scottsdale
San Diego All House Cusps Vedic Jerusalem            


My Returns

Lunar Return-1 Lunar Return-1 Biwheel My Chart
Solar Return-1 Solar Return-1 Biwheel Solar Return-2 Solar Return-2 Biwheel My 12th Harmonic Chart My 17th Harmonic Chart My Aspects


Susan's Returns

Susan's Lunar Return-1 Susan's Lunar Return-1 Biwheel Susan's Chart
Susan's Solar Return-1 Susan's Solar Return-1 Biwheel Susan's Solar Return-2 Susan's Solar Return-2 Biwheel     Susan's Aspects


My Arc Transforms

Mercury/Uranus Uranus/Chiron Saturn/Neptune Pluto/Ascendant Saturn/Venus Uranus/Ascendant Jupiter/Neptune
Saturn/Ascendant Venus/Pluto Pluto/Neptune Uranus/Pluto Saturn/Pluto Pluto/Midheaven


Susan's Arc Transforms

Mars/Pluto Moon/Saturn Jupiter/Neptune Saturn/Ascendant Saturn/Pluto Uranus/IC Pluto/Ascendant


My Harmonic Charts

1st Harmonic 2nd Harmonic 3rd Harmonic 4th Harmonic 5th Harmonic 6th Harmonic 7th Harmonic
8th Harmonic 9th Harmonic 10th Harmonic 11th Harmonic 12th Harmonic 17th Harmonic 24th Harmonic
32nd Harmonic 36th Harmonic 102nd Harmonic 420th Harmonic 420th Heliocentric Harmonic  


Susan's Harmonic Charts

1st Harmonic 2nd Harmonic 3rd Harmonic 4th Harmonic 5th Harmonic 6th Harmonic 7th Harmonic
8th Harmonic 9th Harmonic 10th Harmonic 11th Harmonic 12th Harmonic 16th Harmonic 24th Harmonic
32th Harmonic 36th Harmonic 96th Harmonic 192nd Harmonic 286th Harmonic


Hellenistic Astrology

My Whole Sign Chart My Annual Profections My Current Zodiacal Releasing - (spirit) My Zodiacal Releasing (2-levels) My Zodiacal Release (3-levels, part 1) My Zodiacal Release (3-levels, part 2) My Zodiacal 5 years (4-levels)
Susan's Whole Sign Chart Susan's Annual Profections Susan's Current Zodiacal Releasing (spirit) Susan's Zodiacal Releasing (2-levels) Susan's Zodiacal Release (3-levels, part 1) Susan's Zodiacal Release (3-levels, part 2) Susan's Zodiacal 5 years (4-levels)


Phase Angle Charts

My Solar Phase Angle Chart My Lunar Phase Angle Chart My Mercury Phase Angle Chart My Venus Phase Angle Chart My Mars Phase Angle Chart My Jupiter Phase Angle Chart        


Heliocentric Charts

My Helocentric Chart Susan's Heliocentric Chart Me/Susan Heliocentric Composite Geocentric Aspects Versus Heliocentric Aspects My Heliocentric Biwheel My Heliocentric Transits Susan's Heliocentric Biwheel Susan's Heliocentric Transits Heliocentric Transits Heliocentric Graphic Ephemeris
Heliocentric USA July 2 1776 Heliocentric USA July 4 1776                


Planetry Patterns

Marc Edmund Jones Planetary Patterns Startypes Patterns Startypes Book and Ephemeris


Q-Astrology: Quaint (traditional), Quantitative, Quotient, Questing, Questioning

The Cycle of Becoming, Quotient Structures, Harmonic Charts, and Arc Transforms Astrology and Fractals Arc Transform Charts - John Townley My 17th Harmonic Using Arc Transforms to Understand Transits The Mars/Neptune Arc Transform in the USA Chart Mathematical Models for Aspects Quotient Structures and Graphic Ephemerides Quotient Structures and Harmonic Astrology Quotient Structures and Midpoints
Quotient Structures and Composite Charts Quotient Structures and the Sabian Symbols Quotient Structures and Enlightenment Orbs in Harmonic Charts The Cycle of Becoming Uranus-Chiron Arc Transform Uranus-Ascendant Arc Transform Astrology and Complex Numbers

Q-Astrology: Quaint, Quantitative, Quotient, Questing, and Questioning