SPHERICAL IMAGERY WITH MAGIC SQUARES

SPHERICAL IMAGERY WITH MAGIC SQUARES
COPYRIGHT 2016 Tasha Lindsay

Tuesday, March 7, 2017

CONSTRUCTING SPHERICAL IMAGERY WITH THE (LUO SHU) MAGIC SQUARE

The circle and the square have a sacred place in human evolution.  Examples of the two icons are replete in art and architecture from the earliest of times.  The circle represents Heaven, the square represents the earth.  Adding to this, the male energy is represented by Heaven as the female energy is represented by earth.  The early Chinese refer to these energies, or qi, as yin (earthly and female) and yang (heavenly and male). 

My expertise is the study of magic squares in the Luo Shu format.  These squares are of an odd order and have peculiar characteristics that gave this “set of squares” a revered status.  The Luo Shu magic square was used in religious ceremonies, was the basis for religious art, and served as the ground plan for temple design and city layouts as this arrangement of numbers had a mystical connection to Heaven. 

These observations have been well documented by some of the greatest Sinologists such as Schuyler Cammaan, Alfred Schinz, and Paul Wheatley.  However, it was not until my discovery of the formula that describes the 3x3 magic square that it became evident that the Chinese magic square, referred to as the Luo Shu, actually refers to all orders of magic squares that can be derived from this formula.  Also, constructing magic squares using the Persian or Hindu method will generate squares of this type.

The study of these magic squares will demonstrate a unique Pythagorean triad of numbers associated with each order of square.  A cross of odd numbers run thru the vertical and horizontal axis of every square, regardless of size, and generates the cross-in-square template used in temple and tomb design (referred to as si fang).  Therefore math, and in particular, the Right-Angle Triangle theorem, is being highlighted in these squares.  Because the Pythagorean Theorem is the most important mathematical relationship to the evolution of humankind, these squares had special status to many cultures.

There has now been a new discovery with these squares that I refer to as magic squares in the Luo Shu format.

Tasha Lindsay has created spherical images based on these squares that are perfectly symmetrical generating as beautiful a mandala as can be since these images are based on a perfect kind of math.  The early Chinese believed the Luo Shu was a gift (or mandate) from Heaven and if used ceremoniously as well as functionally, humankind could improve their prospects to evolve and prosper. 

If it is true that these magic squares are not human constructs but the stuff bestowed upon us from Heaven, then Ms. Lindsay has made the visual and artistic* connection with Heaven.  Or at least with the magic square and circle. 

*COPYRIGHT 2016 
Tasha Lindsay



Wednesday, July 8, 2015

The Jesuits and the Magic Square

This is an excerpt from my book Number Time Archetype.  The book is on sale, for information contact information is on the right margin.

One of the most fascinating adventures concerning the pursuit of human evolution involves the efforts of Christian missionaries in China from about 1500 to 1800.

One group in particular, the Society of Jesus, whose members were called Jesuits, dominated the Christian mission during this period. The endless list of talented men such as Matteo Ricci, Adam Schall, and Ferdinand Verbiest faced extreme hardships as travel to China could take eighteen months. These men were great mathematicians, astronomers, and scientists who could construct diverse commodities such as a modern canon, a world map, or a cutting edge astronomical observatory equipped with instruments unknown to the Chinese.

There can be no question that the main objective of the Christian mission was to establish a permanent presence in China for the purpose of growing Christianity. Another objective was for an academic and technological exchange of science, wisdom, and information that would be mutually beneficial to both China and the Christian mission. China would be the clear beneficiary during this exchange as Europe was more advanced in science and technology. However, China evolved from the one of the oldest existing cultures and its writing projected images or concepts from the earliest of (civilized) human beings.

Some believe that the pictograms of the early Chinese language and the diagrams from the Yi Jing contain the clues of a Primitive Language, or the writing used before the Flood. The Luo Shu represents one of these diagrams and when decoded, its formula leads the disciple to the “set” of magic squares in the Luo Shu format thus revealing a mystical mathematical language that has functional applications and is directly related to the evolution and prosperity of humankind.

Jesuits Verbiest and Athanasius Kircher demonstrate this esoteric knowledge of the Luo Shu in diagrams from their books which will be discussed later in Chapter Ten.

The Diagram Preceding Heaven is also a diagram from the Yi Jing that when decoded reveals a binary mathematical language that presently is used in the software that allows computers to operate. This binary math was discovered in about 1700 by Father Bouvet, a French Jesuit priest stationed in China, and Gottfried Leibniz, a monumental European figure in science, math, philosophy, and Chinese culture. The Diagram Preceding Heaven shows the sixty-four hexagrams and, according to legend, is linked to Fu Hsi.

These two diagrams, the Luo Shu and the Diagram Preceding Heaven, offer some insight into the significance of complex mathematical relationships that were vestiges of an ancient yet intelligent civilization and could represent the earliest use of numbers and writing (language) known to the academic world. Whether this writing predated the Flood is up for debate, but the Jesuits, and by extension, the Church, were interested in the origins of language and human evolution.

The two diagrams fit the theory that alleges the Chinese language of pictograms can be decoded by mathematics (or musical scales) to reveal a language based on numbers. The two diagrams described here reveal the binary and Pythagorean math that correspond to the numerical language of computers and the measurement of space. Absent are the instructions on how to use these mathematical relationships but once the math is integrated into society evolution and prosperity await humankind.

Friday, April 11, 2014

WATER RETENTION MAGIC SQUARES

One of the hottest topics going on in the research of magic squares are water retention magic squares. Developed by Dr. Craig Knecht, these squares are analyzed from the perspective that a larger integer corresponds to a taller height than a smaller integer.  In this way, smaller integers can be surrounded by larger ones creating what are called ponds.

According to Dr. Knecht, magic squares in the Luo Shu format produce the maximum number of ponds. The blue cells identify ponds. The drainage path for the cell in green is long, eventually spilling off the square at the yellow spillway cell.

Here is the link for the Wiki page describing water retention magic squares.  And here is another link to Harvey Heinz's fine web site on magic squares.  On this web page, posted in 2008, the water retention square is referred to as the "topographical" magic square.  Harvey is no longer with us but his memories live on through his love for magic squares.