Palindromic Squares

A palindrome is a word, phrase, or number which reads the same backward or forward.  The squares of 10, 11, 12, and 13 fit the bill.  It breaks down after that since 15 squared is 225, and 51 squared is 2601. Why only these 4 or arguably 3 numbers? Does this give credence to the notion that base 10 is an innate numerical matrix to our reality? Did we invent the decimal system or did we observe patterns in the numbers themselves and organize them according to nature? What is it about ten that makes numbers so easily scalable and calculable?

Palindromic Squares number mathemagic

I found this gem in a book by Marty Leeds.  I added the ten squared to it.  It works of course if you put two zeros before the one on the right side.  It’s weird how this works for 10, 11, 12, and 13.  There is something special about ten as well as nine, the culmination of Number.  There is no greater number than nine.  Try to imagine the biggest number possible.  What does it begin with?  What does it end with?

Nine Worlds of Odinic Mysteries

Nine Worlds of Odinic Mysteries

“The digits 1 and 2 are not considered numbers by the Pythagoreans, because they typify the two supermundane spheres. The Pythagorean numbers, therefore, begin with 3, the triangle, and 4, the square. These added to the 1 and the 2, produce the 10, the great number of all things, the archetype of the universe. The three worlds were called receptacles. The first was the receptacle of principles, the second was the receptacle of intelligences, and the third, or lowest, was the receptacle of quantities.” -Manly P Hall

All ancient cultures recognized this and modeled their alphabets and glyphs with Nine and Ten in mind.  The book Quadrivium from the guys at Wooden Books  breaks this down ancient civilization by ancient civilization, clearly elucidating the understanding that Number is not a creation of man, but an inherent concept in the nature of reality.

Babylonian Numerals

Ancient Sumerian Numerals: Just like all other glyphs and alpha-bets, they decide to change the symbol when they hit ten.

The Ancients were much smarter than we are today.  They didn’t just all happen to come up with the same archetypes and architecture worldwide independently due to chance.  They tapped into a greater global consciousness and understood things we can don’t dare dream of in {current year}.

“My thesis, then, is as follows: In addition to our immediate consciousness, which is of a thoroughly personal nature and which we believe to be the only empirical psyche (even if we tack on the personal unconscious as an appendix), there exists a second psychic system of a collective, universal, and impersonal nature which is identical in all individuals. This collective unconscious does not develop individually but is inherited. It consists of pre-existent forms, the archetypes, which can only become conscious secondarily and which give definite form to certain psychic contents.”  – Carl Jung, The Concept of the Collective Unconscious


Nine requisites for contented living:
Health enough to make work a pleasure.
Wealth enough to support your needs.
Strength to battle with difficulties and overcome them.
Grace enough to confess your sins and forsake them.
Patience enough to toil until some good is accomplished.
Charity enough to see some good in your neighbor.
Love enough to move you to be useful and helpful to others.
Faith enough to make real the things of God.
Hope enough to remove all anxious fears concerning the future.”
― Johann Wolfgang von Goethe

The Decimal System

More tantalizing mathemagics from Marty Leeds

Joe Dubs

I write about philosophy, geometry, health, politics and other stuff that interests me.


What do you think?