WELCOME TO

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
…OH MY!


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 Thus Spake Christopher (text) Thus Spake Christopher
(large print)		 Thus Spake Christopher (video) Sefaria

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


HERBIE

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            
Astrology 2023

The Year 2023 in Astrology Top Astrological Events for America and the World in 2023 March Madness The Jupiter/Chiron Conjunction of March 2023 The Indictment of Donald Trump The Fires of Lahaina Astrology for the First Half of 2023 - Expected and Observed The Lunar Month for America - July 17, 2023, to August 16, 2023 The Lunar Month for the World, America, Trump, and Putin - August 16, 2023 to September 14, 2023 Fall 2023 - The World
Fall 2023 - America Fall 2023 - Putin The Astrology Behind the Current Conflict Between Israel and Hamas - October 7, 2023 How Long Will the War Between Israel and Hamas Last? The October 28, 2023, Solar Eclipse The World Eclipsed - October 2023 America Eclipsed - mid-October to mid-November 2023 The Lunar Month - November 13, 2023, to December 12, 2023 The Lunar Month for America - November 13, 2023, to December 12, 2023 The Lunar Month for Israel - November 13, 2023, to December 12, 2023.pdf
The Lunar Month for Hamas - November 13, 2023, to December 12, 2023.pdf The Lunar Month for Iran - November 13, 2023, to December 12, 2023.pdf The Lunar Month for Putin - November 13, 2023, to December 12, 2023.pdf The Lunar Month for Trump - November 13, 2023, to December 12, 2023.pdf            

Astrology 2024

Chiron, the April 8, 2024, Solar Eclipse, America, and the World Chiron, the April 8, 2024, Solar Eclipse, America, and the World (Video Part 1) Chiron, the April 8, 2024, Solar Eclipse, America, and the World (Video Part 2) Chiron, the April 8, 2024, Solar Eclipse, America, and the World (Video Part 3) 2024 in Astrology Shifting Sands Chiron and Spiritual Transcendence in 2024 Jupiter in Gemini in 2024 The Lunar Month - January 11 to February 9 The Lunar Month - February 9 to March 10
The Lunar Month for Countries and People - February 9 to March 10 Lunar Calendar Countries and People The Lunar Month - March 10 to April 8 The Lunar Month for Countries and People - March 10 to April 8 Biden's State of the Union Speech - 2024 Cancer and the British Royal Family The Astrology of the Baltimore Bridge Collapse The Lunar Month - April 8 to May 7 The Lunar Month for Countries and People - April 8 to May 7 Yesterday, Today, and Tomorrow
The Lunar Month - May 7 to June 6 The Lunar Month for Countries and People - May 7 to June 6 It Was The Best Of Times, It Was The Worst Of Times - 2020 to 2044 The Lunar Month - June 6 to July 5 The Lunar Month for Countries and People - June 6 to July 5 (Part 1) The Lunar Month for Countries and People - June 6 to July 5 (Part 2) Trump v. Biden (Part 1) Trump v. Biden (Part 2) The Lunar Month - July 5 to August 4 The Lunar Month for Countries and People - July 6 to August 4 (Part 1)
The Lunar Month for Countries and People - July 6 to August 4 (Part 2) Supreme Lunacy - America’s Future in the Aftermath of the John Roberts Supreme Court Why I was Wrong about the First Debate and why Astrology still Works! The Attempted Assassination of Donald Trump Astrological Resonance and the Trump Shooting Who is Kamala Harris? The Lunar Month - August 4 to September 2 The Lunar Month for Countries and Peole - August 4 to September 2 (Part 1) The Lunar Month for Countries and Peole - August 4 to September 2 (Part 2) The Lunar Month - September 2 to October 2
The Lunar Month for Countries and Peole - September 2 to October 2 (Part 1) The Lunar Month for Countries and Peole - September 2 to October 2 (Part 2) Why The Stars Will Be Much Happier If Kamala Harris Wins The Presidential Election The Lunar Month - October 2 to November 1 The Lunar Month for Countries and People - October 2 to November 1 (Part 1) The Lunar Month for Countries and Peole - October 2 to November 1 (Part 2) The Unreasonable Effectiveness of Fibonacci Numbers in Astrology and the Natural Sciences The Bad, the Good, and the Maybe How the Uranus/Neptune/Pluto Triangle Will Change the World! 2023-2031 The Lunar Month - November 1 to November 30
The Lunar Month for Countries and People - November to November 30 (Part 1) The Lunar Month for Countries and People - November to November 30 (Part 2) The Floods of Valencia October 30, 2024 America has Fallen - The Aftermath of the 2024 Election        

Astrology 2025

The Astrology of 2025 for America and the World The Astrology of 2025 for America and the World (essay) Chris Astrology 2025 Susan A/strology 2025 USA Astrology 2025 Trump Astrology 2025 Inauguration Day 2025 World Hard Transits World Soft Transits USA Hard Transits
USA Soft Transits Chris Hard Transits Chris Soft Transits Chris Jupiter Aspects Susan Hard Transits Susan Soft Transits Susan Jupiter Aspects Trump Hard Aspects Trump Soft Aspects Trump Jupiter Aspects
USA Graphic Ephemeris 2025 Inauguration Day 2025 Inauguration Day Quadwheel 2025 Inauguration Day Good Aspects Inauguration Day Bad Aspects Who Will Be The Founding Fathers of Modern Scientific Astrology? 2025 - The Year Everything Begins To Change The Inauguration of King Trump Astrologically Speaking, Why Is It California That Is Sufferring From So Many Wldfires Right Now? Back to the Sixties - the synodic cycle of Uranus and Pluto
My Astrological Weather Report for 2025 and a Little Beyond Trump Graphic Ephemeris 2025 Air Tragedy Over The Potomac USA Hard Aspects 2025 USA Soft Aspects 2025 Trump Hard Aspects 2025 Trump Soft Aspects 2025 Chris Hard Aspects 2025 Chris Soft Aspects 2025 Susan Hard Aspects 2025
Susan Soft Aspects 2025 Transits Hard 2025 Transits Soft 2025 Trump natal chart Trump 11 harmonic Timeline for February and March 2025 July 21, 2026 July 21, 2026, 6 Harmonic Timeline for April 2025 Timeline for May 2025
The Astrology Behind the First 120 Days of King Trump The Summer of Change - Part 1 The Summer of Change - Part 2 Midpoints 2-20-2026            

 

  

Ephemerides

January 2025 February 2025 March 2025 April 2025 May 2025 June 2025 July 2025 August 2025 September 2025 October 2025
November 2025 December 2025 Graphic Ephemeris 2025 USA Planetary Stations 2024 My Planetary Stations 2024 Susan's Planetary Stations 2024

  

Equinoxes and Solstices

Winter Solstice 2024 Spring Equinox 2025 Summer Solstice 2025 Fall Equinox 2025
Winter Solstice 2025    

   

Lunations

New Moon December 31 2024 Full Moon January 14 2025 New Moon January 29 2025 Full Moon February 13 2025 New Moon February 28 2025 Lunar Eclipse March 14 2025 Solar Eclipse March 29 2025 Full Moon April 13 2025 New Moon April 27 2025 Full Moon May 12 2025 New Moon May 26 2025 Full Moon June 11 2025
New Moon Jun 25 2025 Full Moon July 10 2025 New Moon JUly 24 2025 Full Moon August 9 2025 New Moon August 22 2025 Lunar Eclipse September 7 2025 Solar Eclipse September 21 2025 Full Moon October 6 2025 New Moon October 21 2025 Full Moon November 5 2025 New Moon November 19 2025 Full Moon December 4 2025
New Moon December 19 2025 Full Moon January 3 2026  

  
Lunar Month

New Moon

1st Quarter Moon

Full Moon

3rd Quarter Moon

Next New Moon
      

Daily Chart

Geocentric

Geocentric Aspects

 Chris

 Susan

USA

Trump


      
Solar Weather

www.spaceweather.com

www.spaceweatherlive.com

    

Websites

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 Gary Lorentzen Seven Stars Astrology  Astro-seek https://zodiacalreleasing.net/ http://nataltransits.com/
timelord.html		 Kapiel Raal Vedic Astrology The Hellenistic Astrology Website
Astrology News Service Historical Astrology Astrology Critics Gravimetric Tides www.astrologer.com Raymond Merriman The Astrological Association Time_Dependent_Nuclear_
Decay_Parameters.pdf		 Sam Geppi Vedic Astrology http://mundaneastrologers.com/
Cycles Research Institute RGCSA Planets in Astrology Houston Astrological Society The Cosmobiology Institute David Cochrane Astrology Doc Benton's Astrological Research Centre Astrodatabank Astrowiki Friends of Astrology
Tuscon Astologers' Guild Mind Frontiers Basic Alphabet of Astrology Correlatiion Journal Open Gauquelin Some studies by Kyosti Tarvainen Cura      

Netflix Prime Video Hulu Disney Plus HBO Max Roku Youtube TV Youtube Washington Post Amazon
Pandora Apple TV 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 Georgia Indictment https://www.youtube.com/watch?v=0FxYXJE5qI0 Aba Sri Atmananda Sefaria        

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

  

Astrology Videos

David Cochrane Astrology Rick Levine Astrology Steve Judd Astrology The Astrology Podcast World Astrology Report S.J. Anderson Pam Gregory Astrology Elizabeth Peru Astrology Kapiel Raaj Vedic Astrology Sam Geppi Vedic Astrology
ArtsyWisdom Revealing Light Bracha Goldsmith Astrology              

Huber Charts

My Natal My Huber Natal My Huber House My Huber Node My Planetary Strengths My Age Point-1 My Age Point-2
Susan Natal Susan Huber Natal Susan Huber House Susan Huber Node Susan Planetary Strengths Susan Age Point-1 Susan Age Point-2
Trump Natal Trump Huber Natal Trump Huber House Trump Huber Node Trump Planetary Strengths Trump Age Point-1 Trump Age Point-2
Biden Natal Biden Huber Natal Biden Huber House Biden Huber Node Biden Planetary Strengths Biden Age Point-1 Biden Age Point-2


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

Transit Calendar Transit Calendar Hard Transit Calendar Soft Chris Calendar Chris Cqlendar Hard Chris Calendar Soft Susan Calendar Susan Calendar Hard Susan Calendar Soft  
USA Calendar USA Calendar Hard USA Calendar Soft Trump Calendar Trump Calendar Hard Trump Calendar Soft        

Transit Graphs

Transits Hard Transits Soft Transits Change Chris Hard Chris Soft Chris Change Susan Hard Susan Soft Susan Change  
USA Hard USA Soft USA Change Trump Hard Trump Soft Trump Change        

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 Midpoints          

 

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 Sun/Chiron

 

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 166th Harmonic 664th 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                

 

Planetary 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