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Reply  Message 1 of 53 on the subject 
From: BARILOCHENSE6999  (Original message) Sent: 05/03/2016 15:01
 
369





http://www.greatdreams.com/numbers/72/72.htm

http://cube-it.webs.com/

SOURCE:
http://science2art.tumblr.com/post/18398397422/72



48 + 1 = 7 x 7

Learning from Liu Hui

http://www.ams.org/notices/200207/comm-cullen.pdf



http://en.wikipedia.org/wiki/Pythago...heorem#History

Venus=175 : 

iSQUARE = - 1

http://en.wikipedia.org/wiki/History...umbers#History

i = YOU

Time you learned love and lust, they both have 4 letters

666 : 

Music of the Spheres: 

Was Pythagoras Chinese ?
http://math.temple.edu/~zit/Zitarell...ag_Chinese.pdf


R.I.P.
Romke Jan Bernhard Sloot ( 27-08-1945, 11-07-1999 )
was a Dutch electronics technician, who claimed to have developed a
revolutionary data compression technique, 
the Sloot Digital Coding System


http://science2art.tumblr.com/post/18723310752/phi-369
http://science2art.tumblr.com/post/18398397422/72

Linking the Fibonacci sequence and 
the Chromatic scale with Rodin Math

http://www.davidicke.com/forum/showp...98&postcount=7

Knights Templars & PRIME numbers
http://www.davidicke.com/forum/showthread.php?t=217191

Last edited by science2art; 23-07-2012 at 01:21 PM.
 
 
 
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Reply  Message 39 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 03/12/2016 01:21
Resultado de imagen de CIRCUNFERENCIA SOBRE DIAMETRO PI
 
 
Reply Hide message Delete message  Message 58 of 64 on the subject 
From: BARILOCHENSE6999 Sent: 19/11/2016 23:03
Resultado de imagen de CIRCUNFERENCIA SOBRE DIAMETRO PI
 
 
Reply Hide message Delete message  Message 59 of 64 on the subject 
From: BARILOCHENSE6999 Sent: 19/11/2016 23:13
Resultado de imagen de RAZON CIRCUNFERENCIA DIAMETRO PI
 
 
Reply Hide message Delete message  Message 60 of 64 on the subject 
From: BARILOCHENSE6999 Sent: 20/11/2016 21:48
Resultado de imagen para diameter pi 3.14
 
La razon de la circunferencia y el diametro es obvio que es el numero PI.
 
 
Reply Hide message Delete message  Message 61 of 64 on the subject 
From: BARILOCHENSE6999 Sent: 20/11/2016 21:50
Resultado de imagen para diameter pi 3.14
 
 
Reply Hide message Delete message  Message 62 of 64 on the subject 
From: BARILOCHENSE6999 Sent: 20/11/2016 22:00
Resultado de imagen para diameter pi 3.14
 
 
Reply Hide message Delete message  Message 63 of 64 on the subject 
From: BARILOCHENSE6999 Sent: 20/11/2016 22:02
Resultado de imagen para diameter pi 3.14
 
 
Reply Hide message Delete message  Message 64 of 64 on the subject 
From: BARILOCHENSE6999 Sent: 20/11/2016 22:19
Resultado de imagen para diameter pi 3.14
 
22/7=DIA DE MARIA LA MAGDALENA=3.14 =PI
 
 
Reply  Message 61 of 63 on the subject 
From: BARILOCHENSE6999 Sent: 27/11/2016 00:00
Resultado de imagen para LEVITICO 23:36
 
 
Reply  Message 62 of 63 on the subject 
From: BARILOCHENSE6999 Sent: 29/11/2016 00:37
Resultado de imagen para MARY MAGDALENE PI
 
 
Reply  Message 63 of 63 on the subject 
From: BARILOCHENSE6999 Sent: 02/12/2016 20:52
Resultado de imagen para pyramid antarctica
 
 
Reply Hide message Delete message  Message 178 of 182 on the subject 
From: BARILOCHENSE6999 Sent: 23/11/2016 21:49

Resultado de imagen para talamo tercer ojo

 
 
 
SABIDURIA=SABADO=LETRA S=$
 
 
 
Reply Hide message Delete message  Message 179 of 182 on the subject 
From: BARILOCHENSE6999 Sent: 27/11/2016 00:02
Resultado de imagen para LEVITICO 23:36
 
 
Reply Hide message Delete message  Message 180 of 182 on the subject 
From: BARILOCHENSE6999 Sent: 29/11/2016 00:00
Resultado de imagen para apple 666 venus
 
 
Reply Hide message Delete message  Message 181 of 182 on the subject 
From: BARILOCHENSE6999 Sent: 29/11/2016 01:04
Resultado de imagen para PRINCIPIO FIN CIRCULO
 
 
Reply Hide message Delete message  Message 182 of 182 on the subject 
From: BARILOCHENSE6999 Sent: 29/11/2016 20:38
15. Apocalipsis 1:8 Yo soy el ALFA
 
 y la Omega, principio y fin, dice el Señor, el que es y que era y que ha de venir, el Todopoderoso. 

16. Apocalipsis 1:11 que decía: Yo soy el ALFA y la Omega, el primero y el último. Escribe en un libro lo que ves, y envíalo a las siete iglesias que están en Asia: a Efeso, Esmirna, Pérgamo, Tiatira, Sardis, Filadelfia y Laodicea.
 
17. Apocalipsis 2:27 y las regirá con vara de hierro, y serán quebradas como vaso de ALFArero; como yo también la he recibido de mi Padre;
 
18. Apocalipsis 21:6 Y me dijo: Hecho está. Yo soy el ALFA y la Omega, el principio y el fin. Al que tuviere sed, yo le daré gratuitamente de la fuente del agua de la vida.
 
19. Apocalipsis 22:13 Yo soy el ALFA y la Omega, el principio y el fin, el primero y el último.

Reply  Message 40 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 12/12/2016 15:41
Resultado de imagen para back to the future apple

Reply  Message 41 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 21/12/2016 14:25
DIAMETRO DE LA TIERRA (MILLAS INGLESAS) =7920=720*11
DIAMETRO DE LA LUNA (MILLAS INGLESAS) =2160=720* 3
RADIO TIERRA MAS RADIO LUNA (MILLAS INGLESAS) =5040=720* 7
7920/5040=11/7 (11 DE SEPTIEMBRE/SEPTIMO/7)
5040*2*22/7=3168*10 (3168=GEMATRIA DE NUESTRO SEÑOR JESUCRISTO)
5040/(7920/2=RADIO DE LA TIERRA)=5040/3960=1.618 (NUMERO DE ORO)
 
SECRETO 9/11 (TAMBIEN 7/11) ESTA 100% CONECTADO A LA GRAN PIRAMIDE Y LA NUEVA JERUSALEM (MISMO PATRON). La pregunta es del porque de la referencia a la LUNA EN EL MARCO A LA TIERRA. Sabemos que el SOL ES JACOB y que la LUNA ES RAQUEL segun el sueño de Jose de GENESIS 37.
¿Pero la luna en el marco a RAQUEL NO SIMBOLIZA AL HIJO DE RAQUEL? Sabemos que en el sistema solar LA TIERRA ES LA QUE GIRA ALREDEDOR DEL SOL Y LA LUNA GIRA ALREDEDOR DE LA TIERRA.
 
Resultado de imagen para mathematics star of david

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La simbologia esoterica es como que nos da a ENTENDER QUE LA GRAN PIRAMIDE SIMBOLIZA A LA MADRE Y LA PIEDRA ANGULAR AL HIJO DE LA MISMA. Otro dato asombroso es la interrelacion del PATRON DE LA TIERRA/LUNA/ALQUIMIA CON la misma semana de 7 dias en funcion a la luna y que incluso la cantidad de minutos que contiene la misma equivale matematicamente al RADIO DE LA TIERRA MAS EL RADIO DE LA LUNA.

MENSAJE ESOTERICO-ESPIRITUAL DETRAS DEL 911

Compare estas graficas con el movimiento de la luna.

El movimiento de la Luna es de oeste a este alrededor de la Tierra, en el mismo sentido de rotación del planeta. Veamos cuáles son las fases de la Luna:

  • Luna Nueva: en esta fase no vemos ninguna parte iluminada de ella y se da cuando la Luna pasa entre el Sol y la Tierra, siempre siguiendo su órbita alrededor de la Tierra.
  • Cuarto Creciente: es cuando la Luna ha completado un cuarto de su órbita alrededor de nuestro planeta y alcanza una posición de 90¼ al este del Sol.
  • Luna Llena: una semana después de cuarto creciente, el disco de la Luna se ve completamente iluminado; es decir, con su cara visible frente al Sol.
  • Cuarto Menguante: es cuando, una semana después de la fase anterior, solo se ve la mitad del disco de la Luna.

 

 

Lo que ocurre es que el calendario actual judio, el calendario de Hillel II, considera la luna nueva en luna creciente que como es sabido la misma nace en occidente a contrario de la la verdadera luna nueva que es en luna llena que nace en oriente. Por eso la Biblia habla de "espaldas" porque por razones obvias los judios actualmente en la luna nueva al considerarla en occidente, repito en luna creciente, estan a espaldas de la verdadera luna nueva en luna llena que nace en oriente.

 

 

Las cosas nunca suceden sin una mano que las mueva, y en este caso la mano es evidente. Las monedas de los países que fueron agredidos son la clave para la solución de este enigma. Al girarlas toman su ubicación en el pentagrama y anuncian además las fechas de los atentados, pero es solo el comienzo. Todas las investigaciones anteriores han llegado hasta aquí, esta sin embargo comienza en este punto.

Aquí los signos monetarios toman su lugar en el pentagrama a 0, 90 y 180 grados. Al ser girados las fechas de los crímenes aparecen claramente.

Evidentemente hay una fuerte referencia SABATICA EN FUNCION A LA LUNA, EN UN MARCO ALQUIMICO CON EL 911. LA TORA ES EGIPTOLOGIA PURA.
 
911

Reply  Message 42 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 25/12/2016 02:20

The microcosm is also divided into the four descending levels of the soul..Chiah…then Neshema,Ruach and Nephesh.

The four elements picture the same idea……Fire,water,air and earth.

And finally in the Tarot as Wands(clubs),Cups(hearts),Swords(spades) and Disks(diamonds).

image-217


Reply  Message 43 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 04/01/2017 15:20

Reply  Message 44 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 19/01/2017 15:29
VERSICULO BIBLICO QUE "ANTICIPO" INFERNO, ESCRITO POR DAN BROWN
DAN BROWN= SERPIENTE= "AGUJERO DE GUSANO"
Resultado de imagen para dan brown inferno
 
NOTEN EL NEXO DE DAN, CON LA SERPIENTE (VENECIA) Y EL CABALLO (PLAZA SAN MARCOS)
 
7. Génesis 49:17 Será Dan SERPIENTE junto al camino, Víbora junto a la senda, Que muerde los talones del caballo, Y hace caer hacia atrás al jinete.
Resultado de imagen para inferno venice
VENECIA=PLAZA SAN MARCOS
Statue of St. Mark


The Horses of St. Mark's


The Winged Lion of St. Mark
7. Mateo 23:33 ¡Serpientes, generación de víboras! ¿Cómo escaparéis de la condenación del INFIERNO?
Resultado de imagen para dan brown inferno
Resultado de imagen para dan brown inferno
MONTE HERMON (TRIBU DE DAN)
DAN-IEL / PARALELO 33
MON / MOON / LUNA / TRANSFIGURACION
LINAJE DE A-DAN
 
EL VERDADERO VALOR DE PI, AL ESTAR RELACIONADO CON EL NUMERO PHI Y EL CUATRO EVIDENCIA EL NEXO CON EL SABADO LUNAR, EN EL CONTEXTO AL CUARTO MANDAMIENTO, CUATRO FASES E INCLUSO QUE LA LUNA FUE CREADA EN EL CUARTO DIA. LA CLAVE ES SU NEXO CON EL NUMERO CUATRO.
 
SABIDURIA= SOPHIA= PHI
Resultado de imagen para PYRAMID PHI

Resultado de imagen para sofia estambul

Resultado de imagen para sofia estambul
 
MEZQUITA DE SANTA SOFIA EN ESTAMBUL, TURQUIA
Resultado de imagen para sofia estambul

Reply  Message 45 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 27/02/2017 00:35

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Reply  Message 46 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 11/04/2017 17:47
 


__________________
Signs and symbols rule the world, not words nor laws.” -Confucius.
 

Reply  Message 47 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 10/05/2017 15:00
 

 
 
 
Reply  Message 119 of 121 on the subject 
From: BARILOCHENSE6999 Sent: 25/03/2017 21:40

The TABERNACLE
 
 
Reply  Message 120 of 121 on the subject 
From: BARILOCHENSE6999 Sent: 06/04/2017 15:57
Kybalion. Leyes Universales entregadas por Extraterrestres?cabala
 
 
Reply  Message 121 of 121 on the subject 
From: BARILOCHENSE6999 Sent: 10/05/2017 10:43
CONEXION DE LA MANZANA (ESTRELLA DE 5 PUNTAS=NUMERO PHI= 1.618033..) CON EL RELOJ (GEMATRIA DE PHI EN INGLES ES 33)
 
Resultado de imagen para phi TEOTIHUACAN
 

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Star of David Wall Clock
225 × 225 - 12k - jpg

amazon.com
Wall Clock Blue Star of David
1000 × 1000 - 84k - jpg
 
 
Reply Hide message Delete message  Message 149 of 151 on the subject 
From: BARILOCHENSE6999 Sent: 15/02/2017 22:32
Resultado de imagen para DAN BROWN PYRAMID
 
 
 
Reply  Message 3 of 3 on the subject 
From: BARILOCHENSE6999 Sent: 15/02/2017 22:29
Resultado de imagen para DAN BROWN PYRAMID
 
Resultado de imagen para PENTAGONO PHI
Resultado de imagen para PENTAGONO PHI
Resultado de imagen para PENTAGONO PHI
Resultado de imagen para PENTAGONO PHI
Resultado de imagen para PYRAMID PHI
Resultado de imagen para BELLAS QUE SON LAS MATEMATICAS
 
 
Resultado de imagen para APPLE BACK TO THE FUTURE
Resultado de imagen para APPLE BACK TO THE FUTURE
 
Resultado de imagen para APPLE BACK TO THE FUTURE
Resultado de imagen para apple venice florida
 
Resultado de imagen para apple rome

Reply  Message 48 of 53 on the subject 
From: BARILOCHENSE6999 Sent: 08/07/2017 14:44

Ancient cultures knew about sacred geometry reflected in nature and derived their individual measures of length from it. Many ancient writings suggest that this knowledge was given to mankind by god(s). The ‘Gods’ of certain cultures could be early post-flood founders a few generations after Noah. In Egypt, building overseers required the Royal Egyptian Cubit to be calibrated against a precision standard at regular intervals. Failure to do so was punishable by death.  This extreme respect for the royal cubit indicates an important legacy, like a standard handed down from the ‘Gods’.

According to the “Secrets of the Great Pyramid” (by L. Stecchini) the Egyptian measures of length, originating from at least the 3rd millennium BC, were directly derived from the circumference of the earth with an amazing accuracy. On page 346, his claim is that the Egyptian measurement was equal to 40,075,000 meters, which compared to the International Spheroid of 40,076,596 meters gives an error of 0.004%. No consideration seems to be made to the question of, on purely technical and procedural grounds, how the early Egyptians, in defining their cubit, could have achieved a degree of accuracy that to our current knowledge can only be achieved with very sophisticated equipment and techniques.

Note: Egyptians calculated polar radius as 12,000,000 Royal Cubits (of 0.525 m per cubit) which is equivalent of 6300 km (modern value for the polar radius of the  Earth is 6,357km)

The Sacred Cubit (aka Royal Cubit) was used in constructing buildings and monuments and in surveying in ancient Egypt. Royal Cubit consists of 28 units, digits ( 7 palms of 4 digits). The names of divisions of royal cubit may suggest anatomical origin, however the division numbers indicate astronomical origin of the cubit (7 days per week, 28 days lunar calendar, 4 weeks per lunar month)…

Note: Here is an  interesting connection between modern and ancient units of length with astronomy and geodesy:  1 foot = 12 inches1 mile = 5280 feet = 63,360 inches = 4800 Sumerian Feet = 3200 Sumerian Cubits.

There is great confusion today concerning metrology, the history of measurement systems around the world. Beyond the child’s tales of the “foot” deriving from some king’s foot, measurement was actually part of a sacred system of knowledge established in prehistory and based on timeless truths seen in the harmony of the cosmos. Standards of measure were everywhere framed upon never-changing principles of number, in particular, the interplay of natural tension between ten and twelve, and the dimensions of the turning Earth. Except for the survival of the English system in the U.S., most other traditional systems of measurement worldwide have succumbed to the “easy” and modern, but inferior “metric” system, which uses only ten, is divorced from nature and the human scale, and requires its users to conform to the measuring tools themselves, not to the nature of the objects measured, as was traditionally done. 

The Cosmological Diagram (The New Jerusalem Diagram)

The Sacred Geometric Community has fallen short of the grand prize, the New Jerusalem and her fullness of purpose, they have at least seen, especially through the apostolic efforts of John Michell, the suburbs of the Holy City and from this afar view have come imminently close to her profound and universal meaning; and certainly by framing their quests for universal understanding and sustainable social systems in terms of the Celestial City (or as in Plato’s case, Magnesia).  Their approach to the City Whose Builder and Maker is God (even though that “god” is NOT the One of revelation and authority held by their antagonists amongst the aforesaid monotheists), as we all, is seen through a glass darkly but, nevertheless, they are searching to unlock the mystery of the New Jerusalem and to confirm their findings through geodetic discovery.

Another version of the NJ Diagram is Magical Seal of Solomon.

In Medieval Jewish, Christian and Islamic legends, the Seal of Solomon was a magical signet ring said to have been possessed by King Solomon, which variously gave him the power to command demons, genies (or jinni), or to speak with animals. In some versions the seal was made of brass and iron, carved with the Name of God, and set with four jewels. In later versions the ring simply bore the symbol now called the Star of David (hexagram), often within a circle, usually with the two triangles interlaced  rather than intersecting.

To them the “geometric construction” of the New Jerusalem presents cosmological realities which govern the universe – a universe numerically understood far more by the “ancients” who have left us a testament in their objects and writings to these realities whereby John’s vision of the Holy City is the culmination of all their most vivid aspirations; to wit, the elaborate geometric configurations from the New Jerusalem Diagram to intriguing planetary measurements of circles, squares, triangles, polygons of all sorts which provide immediate connectivity between earth and heaven’s realms – as well as those earthly objects of antiquity which replicate the heavenly dimensions of Paradise, and all within the context, preservation and accuracies of antiquity:

“Another relic of the archaic tradition that produced these divisions of time is our present system of measurement by units of feet, furlongs, and miles, with the acre as the unit of land measuring.  Those measures, which are still found the most convenient today, were canonized and held sacred, because not only do they relate both to the human and to the astronomical scales, expressing the unity between macrocosm and microcosm, but they bring out the same numbers in the dimensions of the solar system as were given to the units of time.”  — Dimensions of Paradise, Michell, p. 117.

One of the foremost metrologists of Teotihuacán is, without equivocation, Dr. Hugh Harleston Jr., who during the late 1960s and 1970s measured this “ritual city” from a “…unified geometrical composition whose intervals are clearly defined, and Harleston was soon able to establish the basic unit of measure in its dimensions.  This proved to be a unit of 1.0594 meters, which Harleston called the Standard Teotihuacán Unit (STU) or Hunab after the Mayan word, adopted by the Aztecs, for Measure.  He also recognized the geodetic significance of that unit:  1.0594063 meters is equivalent to the ‘Jewish rod’ of 3.4757485 ft., the same unit which represents the width of the Stonehenge lintels, a six-millionth part of the earth’s polar radius and one part in 37,800,000 of its mean circumference.” (Ref. The New View Over Atlantis, Dr. John Michell, 1995, p. 131).

Also:  “Harleston says of Teotihuacan’s builders: ‘When they draw a line, they’re telling you an area. When they draw an area, they’re telling you a volume.  When they put volume, they’re telling you time.”

Geodesy and geodetic placement of “sacred sites” of ancient origins has long been affirmatively suspect – especially, the Great Pyramid of Giza.  Geodesy involves a fundamental understanding of plane or solid geometry, astronomy relative to latitude and longitude with latitude of more recent vintage since ships-clock (cir. 1540) came into vogue.   These geodetic or geometric relationships both on earth and in the heavens are a frequent haunt of pagans and occultists and of novel interest to science – though science with its unfortunate proliferation of skeptic is apt to go off into “metric tangents” and miss out on all the “fun!”For quite some time researchers have been documenting the astronomical alignments of ancient archaeological and megalithic stone sites all over the world. But discovery of their geodesic alignment has been more recent. Geodesy refers to the theory and practice of surveying to determine the position of specific points on Earth’s surface. It is distinguished from plane surveying in that it deals with areas whose dimensions are so great that the curvature of the Earth must be taken into account. Geometric geodesy involves the creation of a mathematical model of Earth, while physical geodesy studies Earth’s gravity field.  The discovery of the precise alignment of Mayan sites along the 90th parallel is significant because it demonstrates that the Maya were aware of Earth’s curvature and knew the advanced formulas used in geodesy.

Note: Carl Munck, archaeocryptographer, introduces an ancient Pyramid Matrix, in which ancient monuments – across the globe – encode their exact positions with respect to latitude and longitude. The science of decoding these monuments is called archaeocryptography. For latitude, ancient monuments were referenced to the same (modern) equator. For longitude, these monuments were referenced to a former Giza, Egypt Prime Meridian – discovered by Munck – that ran from pole to pole across the Great Pyramid.

PS1  The Forgotten Harmonical Science of the Bible

Note: The following segment is from “The forgotten harmonical science of the Bible” by Ernest G. McClain

“…but thou hast ordered all things in measure and number and weight” — Wisdom of Solomon 11:20  (1611 King James Bible)

Biblical creation “by measure, number and weight”  required God to possess a fluency in arithmetic not always shared by the faithful. And so Bible arithmetic of the first millennium BC eventually became incomprehensible.

Today much of the astronomy, arithmetic, and music attributed to Classical Greece is documented to Semitic Babylon in the second millennium B.C.   Mesopotamian fluency in calculation–in the age of Abraham, Isaac, and Jacob–already was 3000 years ahead of 16th century AD Europe. Babylonian exile in the sixth century BC made accessible to the Jews anything not already known.

With help of Philo of Alexandria I am reading Divine prescience as pre-scientific musical insight encoded in tribal mythology.  Biblical emphasis on twelve sons as eponymous ancestors of twelve tribes who build an altar of twelve stones concerns twelve idealized “boundary markers” in a cyclic octave needed for Davidic musicology. The pattern was long symbolized in the concentric circles of the Babylonian astrolabe, adjusted monthly to correlate the watches with the varying lengths of day and night.  Figure 2 strips all star data from van der Waerden’s reconstruction, and converts his base-60 water-clock weights (for full watches in the outer circle, and half and quarter watches in the inner circles) to base 10 arithmetic.

The astrolabe’s naked geometry and simple arithmetical doubling expose the idealist mind set which guided the evolution of Chaldaean sciences — converted to priestly ritual by Jewish ingenuity. Twelve ideal months of 30 fictitious days were superimposed on the heavens, and the ratio of longest night to shortest day, known to be about 3:2, was computed as 2:1, so that only music offered a “manipulable” example which conformed to these rounded measures.

Concentric circles anticipate Ezekiel’s “wheel in a wheel” as the throne of heaven. Within each circle maxima and minima water clock weights of 2:1 anticipate the ratio of cyclic octaves. But equal weight differences between successive months (reversing at the solstices in months III and IX) had to give way to proportional differences between successive semitones when this geometry was applied to music. Rational tonal    arithmetic, cleverly mimed by Ezekiel, could anticipate this conceptual equality only via a slight but cumulative excess or deficiency, for in a cyclic octave of ratio 1:2 all equal divisions are defined by irrationals. Thus the Holy Land of a spiritual Israel had to be conquered conceptually in intricate warfare between the excess of primordial “giants” (products of 3) and the deficiency of human “weaklings” (products of 5) among rational numbers, and “weaklings” won only with Divine help in circumventing the lack of real number. Bible narrative brilliantly allegorizes every aspect of Diophantine approximation to modern Equal Temperament, and it does so with exhausting respect for numerical detail–making the Bible a priceless repository of tuning lore and its elementary number theory. The “unhewn” stones of Jewish altars are integers, meaning the natural or counting numbers to which harmonical theory normally was restricted, although its calculation demanded great fluency with reciprocal fractions. From the perspective of any reference pitch all integers except 2n necessarily “sinned” by “missing the mark” to some degree because octave doubling imposed, a priori, a universal matrix (“womb”) tied to integral powers of 2. Problems arose immediately with division into 2 equal parts (requiring the square root of 2) and 3 parts (requiring the cube root of 2).

Sensory intuition always fails at some level of arithmetical subtlety where least noticeable differences create a Platonic “no man’s land” of uncertainty. Greek, Jewish, and Chinese cultures are unanimous in accepting the comma of 80:81 as its convenient normative value. It is the difference between a “giant” wholetone of 8:9 (worth 204 cents in modern logarithmic measure) and a “human weakling” of 9:10 (worth only 190). They are approximations to the sixth root of 2 worth 200 cents, the value necessary to divide an octave 1:2 into six equal parts. How Davidic tuning theory reconciles this conflict becomes the central focus of Bible allegory  And in the sixth century BC only God could have solved this problem numerically–although any geometer could map results to his own satisfaction for the astrolabe pointed the way.

For musician/philosophers of Philo’s temperament,  tuning theory may always have been a contest in the soul between the potential tyranny of masculine intellection, considered mankind’s very highest power, and the relative benevolence of our feminine sensorium, where least noticeable differences create some measure of perceptual tolerance. Wisdom required a congenial mating between our own masculine concepts and feminine percepts, and sometimes rewarded it with the experience of transcendent beauty in “out of the body” adventures like Philo enjoyed when listening to the antiphonal singing of segregated sexes in his Alexandrine synagogue. I am trying here to articulate Bible harmonics in Philo’s spirit while paying closer attention to its computational logic.

http://blog.world-mysteries.com/science/the-language-of-god/


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11 DE SEPTIEMBRE O SEPTIEMBRE 11

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11 Septembre 2001...?

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Sapientia Aedificavit Sibi Domum. Es decir, "la sabiduría ha edificado aquí su casa". Resulta curioso que la misma frase aparece en el Evangelio de María Magdalena, un texto apócrifo. Se dice que en el interior de esta iglesia y de otras muchas de Venecia está escondido el tesoro de los templarios. Pero no hay ninguna prueba de ello. Para terminar ya con esta entrada me gustaría que nos acercásemos un momento a uno de los edificios más emblemáticos de Venecia: el Palacio Ducal.
 
 
 
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GEMATRIA EN INGLES DE SEED=33
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"¡Oh profundidad de las riquezas de la sabiduría (sophia)
y de la ciencia (gnwsiV, gnosis) de Dios!
¡Cuán incomprensibles son sus juicios, e inescrutables sus caminos!"
(Romanos, 11: 33).

 

 
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milky way in Simple Gematria Equals: 119 ( m 13 i9 l 12 k 11 y 25 0 w 23 a1 y 25 )
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hebrew calendar in Simple Gematria Equals: 119 ( h8 e5 b2 r 18 e5 w 23 0 c3 a1 l 12 e5 n 14 d4 a1 r 18
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53. Ester 3:7 En el mes primero, que es el mes de Nisán, en el año duodécimo del rey Asuero, fue echada Pur, esto es, la SUERTE, delante de Amán, SUERTE para cada día y cada mes del año; y salió el mes duodécimo, que es el mes de Adar. 
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54. Ester 9:24 Porque Amán hijo de Hamedata agagueo, enemigo de todos los judíos, había ideado contra los judíos un plan para destruirlos, y había echado Pur, que quiere decir SUERTE, para consumirlos y acabar con ellos. 
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Multimagic cubes


 John-R. Hendricks (Regina, Saskatchewan, Canada, 1929 - Victoria, BC, Canada, 2007)

Why limit oneself to 2 dimensions of multimagic squares? The Canadian John-R. Hendricks, the world's foremost expert on magic squares, created in June 2000 the first known bimagic cube. So, this bimagic cube is also the first known multimagic cube. His remarkable cube is 25th-order (=25x25x25 sized), and contains all the numbers from 1 to 15,625. The magic sum is 195,325, and the bimagic sum is 2,034,700,525. Holger Danielsson has created a PDF document (510Kb) giving details of this cube. See the biography of John R. Hendricks. See also another biography published in the Journal of Recreational Mathematics.

However, I have big doubts on the paternity of this cube. In his "The Magic Square Course", second edition 1992 (very limited distribution as was the first edition 1991, only few photocopied samples), John-R. Hendricks wrote page 411 :
            "David M. Collison, in an unpublished paper, has constructed a bimagic cube of order 25 (....) but it takes too much space to show here."
Look at page 411. We may think from this text that John had actually received the cube. And exactly the same order 25, a very strange coincidence! David M. Collison (1937 - 1991), an Englishman, was living in Anaheim, California: often mentioned in "The Magic Square Course", he sent a lot of discoveries directly to John, and died one year before this second edition. When John published the cube in 2000, he strangely forgot to mention that David had previously constructed such a cube...

In 2003, new multimagic cubes were constructed, thus giving now the following list of the smallest known cubes, for each multimagic level:

Cube

Order

File to be downloaded

Magic degree of rows, columns, pillars

Magic degree
of triagonals

Magic degree
of diagonals

Bimagic

16

Excel file of 50Kb

2

2

1

25

Zipped Excel file of 56Kb (*)

1

27

Zipped Excel file of 70Kb

3

1

Perfect bimagic

32

Zipped Excel file of 108Kb

2

Trimagic

64

Zipped Excel file of 925Kb

3

3

2

Perfect trimagic

256

Too big to be downloaded!

3

Tetramagic

1024

4

4

3

Perfecttetramagic

8192

4

(*) All the cubes were created in 2003 by Christian Boyer, except this bimagic cube of order 25 created in 2000 by John R. Hendricks or before 1991 by David M. Collison.

The bimagic cube of order 16 uses the numbers from 0 to 4095. The magic sum is 32,760, and the bimagic sum is 89,445,720. The 256 rows, 256 columns, 256 pillars and 4 triagonals (= the 4 main space diagonals) are bimagic. Since it is not necessary by the definition of a standard magic cube, the 96 diagonals of the various squares making up the bimagic cube are not bimagic. Therefore they are magic. Thanks to Harvey Heinz (Canada), Aale de Winkel (Netherlands) and Walter Trump (Germany) who verified the bimagic characteristics of the cube as soon as it was announced in January 2003.

The trimagic cube of order 64 uses the numbers from 0 to 262,143. The 4096 rows, 4096 columns, 4096 pillars and 4 triagonals are trimagic. The 384 diagonals are bimagic.

A trimagic cube of order 256 has also been created: it is "perfect", since all its diagonals are trimagic. This cube is a monster: it contains the numbers from 0 to 16,777,215, with for example the trimagic sum S3  = 302231418874861348454400. Thanks to Walter Trump (Germany) who verified the trimagic characteristics of these cubes as soon as they were announced in February 2003.

Eric Weisstein (USA) also checked this perfect trimagic cube of order 256 using Mathematica on Dec 6, 2003 and confirmed its properties. The check took 30 minutes on a 1GHz Macintosh G4.

Then tetramagic cubes even more monstrous have been created, checked by Renaud Lifchitz (France) and Yves Gallot (France). See some details about these two persons in the hypercubes page.

About the perfect tetramagic cube 8192, its 67,108,864 rows, 67,108,864 columns, 67,108,864 pillars, 4 triagonals, and 49,152 diagonals are tetramagic. Its magic sums are :

  • S1  = 2251799813681152
  • S2  = 825293359521335050119065600
  • S3  = 340282366919700523424090353056775929856
  • S4  = 149657767662003894090216275236580155584753888727040

In honour of the year 2003 when all of the above multimagic cubes were created, all these cubes start with the number "2003" in their first corner!

In the September 2003 issue of Pour La Science, the French edition of Scientific American, I published an article about the history of magic cubes and about the construction of multimagic cubes. It is stated for example that my perfect tetramagic cube of order 8,192 is:

  • So big that, if you built it (imagine each cell as a small wooden die of 2cm x 2cm x 2cm where a number of 12 digits maximum is engraved), you may include within the cube... Notre-Dame de Paris!
  • So big that, if you check 1,000 dice (= 1000 numbers) per second, you will need more than 17 years to check the whole cube.
  • So big that, if you engrave on each die the name of each person currently living on the earth (instead of the number used), only 1% of the dice will be engraved! 99% of the dice will remain blank.

The perfect tetramagic cube of order 8,192 can easily include Notre-Dame de Paris!

I dedicate the tetramagic cubes to Gaston Tarry and André Viricel. Gaston Tarry, inventor of the term "tetramagic", is the first man to have constructed a trimagic square, in 1905. It was of order 128. He is also the first man to have proved the famous Euler conjecture of the 36 officers. And my old friend André Viricel is the man who has invented a powerful method to construct trimagic squares of order 32. All my multimagic constructions are based on the ideas of Gaston Tarry (later improved by General Cazalas) and André Viricel, ideas simply enhanced to work with higher order and higher dimensions, cubes and hypercubes.            Christian Boyer

An anecdote found in the book Carrés Magiques au degré n, by Général Cazalas, 1934. Page 13, in the preface written by Auguste Aubry, we read that Gaston Tarry was preparing "a panmagic and trimagic cube that he had not the time to achieve" before he died in 1913. There is alas no trace of this work!

The Général Cazalas, although smart enough to construct his 64th-order trimagic square, later failed in his attempt to construct a bimagic cube. It is interesting to note that it was precisely focused, like John-R. Hendricks and David M. Collison, on the order 25. Cazalas wrote in 1934 in Sphinx (pages 168-169):
            "... but the simplest bimagic cube is on the domain of the theory, because his order is too big: in a 25th-order cube, we even get only a very incomplete bimagic".
So, John-R. Hendricks / David M. Collison proved to be more cunning than Cazalas!


Zhong Ming's perfect bimagic cubes of orders 16 and 25

   Zhong Ming (on the right, with his son and his daughter in 2015)

The above bimagic cubes of orders 16 and 25 are bimagic, but not perfect bimagic. My smallest perfect bimagic cube was big: of order 32, constructed in 2003.

In April 2015, Zhong Ming succeeded in constructing perfect bimagic cubes of orders 16 and 25; they are the new smallest known perfect bimagic cubes! Zhong Ming is a mathematics teacher, at Sichuan Dazhou Daxian, Pavilion Town Center School of China.

Cube

Order

File to be downloaded

Magic degree of rows, columns, pillars

Magic degree
of triagonals

Magic degree
of diagonals

Bimagic

16

Zipped Excel file of 269Kb

2

2

2

25

Zipped Excel file of 95Kb

3


Return to the home page http://www.multimagie.com

http://www.multimagie.com/English/Cube.htm

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