Numbers and Geometry in the Bible cont'd
Michael Schneider writes that mythology, religion, science, math and art were once a part of an integrated system, and that to the ancient philospher, myths were like scientific or mathematical formulas. The gods, he says, represented principles and attributes and were associated with geometric and mathematical archetypes. The relationships between the gods correspond to relationships among numbers and shapes (arithmetic and geometry). [Ratios in other words.] A circle with a circumference of 1000 has a diameter of 318, the number of Helios. If the circumference is 22, then the diameter is 7; 22/7 = pi. It is the same ratio, and can be signified with numbers or names (that are numbers). On page 124 of The New View Over Atlantis, John Michell suggests that when designing a temple, the chief object was to attract the gods or forces to which it was dedicated. That each temple was framed so as to include symbolic refrences to the appropraite deity, 'whose characteristic numbers were expressed in the dimensions of the building'. He writes that the use of symbolic numbers in temples was to procure the invocation of the god or aspect of cosmic energy which those numbers symbolized. A type of science which is no longer recognized. (Invoking the diameter of a circle?) He clearly recommends that each temple is dedicated to different force or god, while Schneider talks of relationships among the shapes. They are describing apples and oranges. Schneider's description doesn't work in Michell's world. While neither Schneider or Michell offered graphic proof of this method, David Fideler did. Above we see David Fideler's interpretation of the Parthenon which has been measured as 100 by 225 Greek feet. That is a ratio of 4:9 (400:900), or two squared by three squared. 4+9 is 13, and 4x9 is 36. (The diagonal of a 2x3 rectangle is 3.6, the sqr rt of 13.) 4/9 is .444. The diagonal of 100x225 produces 24 degree angles, like the tropics. (Note that this is measured at the top step.) It should be noted that 100x225 is thirty six 25x25 squares with perimeters of 100. That is equivalent to a 6x6 sun square made of those cells. The square below is 225x225, which we can convert to 9x9 by multiplying by four. We are reminded of the city in Ezekiel that is 4,500 on each side, 18,000 around. As 4=5 is 9, and 18/2 is nine, we presume that nine is the base number here, indicating the moon also. What is being shown below is that a square with sides of 225, has a diagonal of 318 (Helios), which is the diameter of a circle with a circumference of 1000. The radius of the small circles is 112.5 (225/2), and have a circumference of 353.8 (Hermes). The 707 circle has half the area of the 1000 circle. 707 + 353.8 = 1061, Apollo. 612 is Zeus. These are the same numbers that we saw above with nested squares. 1 is the earth, 707 is Venus and 353 is Mercury. Below we see an image from HPH Bromwell's book about Masonic Geometry. I have oriented it with east to the right and north at the top; this matches the twp rhombus. To match the inner rectangle we need to rotate 90 degrees. The Masonic Lodge Floor Below we see the Temple of Apollo. The inner circle in the previous illustration had a circumference of 353, here the length of the temple is 353. Here we see a 353x353 square, or 12.5 area, half of 25 (5x5). Notice that the perimeter of the square is 1415, about the square root of two. 1415, 707, 353.8 are sqr rt 2, half that and one quarter that. 1061 is three times 353.8 25 and 49 I recommend that the key to the naming of the gods lies in the doubling and halving of circles and squares. The vedic astrology chart of nested squares shows us that each successive square is half the size of the next, or double. The answer lies in what the numbers look like as we halve and double them. If we begin at 1, we get 2,4,8,16,32,64,128,256,512,1024. Ten doublings yield 1024, thirty two squared. We do not come back to a round 1. The sqr roots of these numbers are 1.414,2,2.82,4,5.6,8,11.31,16,32; half are multiple of sqr rt 2. If we halfen the squares beginning at 100 we get, 50,25,12.5,6.25,3.1215,1.5625,.78,.39,.19,0976. Again we miss the round one. We find that to end with a round 100, we should start with .98 Note 98 is twice 49, or seven squared. Half 100 is 50, and 49 is the closest square number; one off. The sqr rt of 50 is 7.071; half the sqr rt of 2, the diagonal of a 1x1 square. The numbers in the list alternate like the squares, with one half being the 1,2,4 series, and the other half are multiples of 1.414. One relates to five squared (25) and the other to seven squared (49). Consider the list from halfening 98; 49,24.5,12.25,6.125,3.0625,1.531,.7651,.3828,.191,.0957. The dome of the Capital in Washington measures 96 feet. 612 is Zeus. 1225 is 25x49, the sum of the seven square. Athena is 76 (77). You will recall the story of the 153 fishes in the gospels; here you can see the source. .76 (Athena) is half that (153), and it is one fourth of 612 (Zeus), which is half 1224. If the diagonals had been an even 1.4 and .70, things would be different. In nested squares, one set progresses as 2,4,8,16, etc, while the other progresses as multiple of the square root of two, or 1.4142. The square root of 200 is 14.142. With sides half that (7.071), the next square has one quarter the area, or 50. One quarter of 50 is 12.5, the square of which is 3.538. One quarter of that is 3.125, the square root of which is .76. 76 is Athena, and 353 is Hermes, you can see that and 707 in the image above. Remember that the District of Columbia has sides 10 miles long and a diagonal of 14.142 miles. Apollo equals 3 x Hermes, or 353.8 + 707.1 (1061). Hermes/Mercury has an 88 day period of rotation, and 88 x 4 = 352. Twelve lunar months of 29.5 days each is 354 days. The series that includes 153, 612, and 1224 derives from dividing 49 (seven squared) in half. The other number in the series of interest is .7651. Athena is 76 (77), 612 is Zeus. The total of the 49 numbers in the seven magic square is 1225, which is 25x49. Squares and Rectangles Again Imagine you have some 1x1 tiles. You can fill a 1x1 space with one tile. If we make a border around the 1x1 space one half tile wide, we produce a 2x2 space that requires four tiles. Another half tile border produces a space 3x3 that takes nine tiles. Note that odd grids have a tile on the centerr, while even ones center on a corner where four tiles meet. 3x3 is eight around one, 5x5 is twenty four around one, 7x7 is forty eight around one, and 9x9 is eighty around one. If we begin with two squares, a 1x2 area, adding the one half border yields, 2x3, 3x4, 4x5, 6x7, etc. The center of this lies on a line. If we begin with a 1x3 figure, we always have a square centered. Adding the one half border yields 2x4, 3x5, 4x6, 5x7, 6x8, etc. We recognize 1x3 as the Temple and Tabernacle ratio, 2x4 (1:2) is the ratio of the court, 3x5 is the side of the Ark of the Covenant, the end of the fire altar, and the end of Noah's Ark. 3x5 and 5x7 are photo sizes and index card sizes. 4x6 yields a ratio of .666. 6x8 is the famous 3,4,5 triangle. If you read you will see that the Egyptians like the 3,4,5 traingle because you could used a rope 12 units long to make it. They were also fond of the 36, 54, 90 degree triangle. Looking at a trig table we see the tangent of 36 is .726. The 3x4 ratio yields .75, and is just shy of 37 degrees. The 5x7 yields a .714 ratio of 35.5 degrees, and the area is 35 sq units. Above we can see 'the pattern' in the Parthenon. The inner rectangle is three (red) circles wide. Adding one half circle all round gives a rectangle that is 2x4 circles, and it generates circles twice as wide. The larger rectangle is two of these wide, and one tall. This generates the square and large circle four times as wide as the beginning circles. Inside the central rectangle we use more circles to get reduced dimensions. Look at the three medium circles and notice that the top step falls where they cross. That is 60 degrees latitude on the globe. The inner rectangle falls at 30 degrees. A Model of the Cosmos On page 197 of Jesus Christ Sun of God, after repeating John Michell's idea that the temple was designed to attract a particular god or spirit, David Fideler writes that the temple was seen as an image of the entire universe, and was laid out accordingly. I have tried to show that the dimensions of the artifacts in the Bible refer to astronomical lines as HPH Bromwell calls them. My questions for Fideler would be, if temples were images of the universe, and the 'form and situation' of the universe is reflected in particular astronomical angles, how do the temples to the different gods differ within that model? If you look at his own illustrations, he has numbers pertaining to Zeus, Hermes and Apollo in the same temple? Also we would want to know how his analysis fits the Hebrew Temple, as they served only one God? See my page concerning Geometric Design Principles.

Numbers and Geometry in the Bible cont'd

Michael Schneider writes that mythology, religion, science, math and art were once a part of an integrated system, and that to the ancient philospher, myths were like scientific or mathematical formulas. The gods, he says, represented principles and attributes and were associated with geometric and mathematical archetypes. The relationships between the gods correspond to relationships among numbers and shapes (arithmetic and geometry). [Ratios in other words.]
A circle with a circumference of 1000 has a diameter of 318, the number of Helios. If the circumference is 22, then the diameter is 7; 22/7 = pi. It is the same ratio, and can be signified with numbers or names (that are numbers).
On page 124 of The New View Over Atlantis, John Michell suggests that when designing a temple, the chief object was to attract the gods or forces to which it was dedicated. That each temple was framed so as to include symbolic refrences to the appropraite deity, 'whose characteristic numbers were expressed in the dimensions of the building'. He writes that the use of symbolic numbers in temples was to procure the invocation of the god or aspect of cosmic energy which those numbers symbolized. A type of science which is no longer recognized. (Invoking the diameter of a circle?)
He clearly recommends that each temple is dedicated to different force or god, while Schneider talks of relationships among the shapes. They are describing apples and oranges. Schneider's description doesn't work in Michell's world. While neither Schneider or Michell offered graphic proof of this method, David Fideler did.

Above we see David Fideler's interpretation of the Parthenon which has been measured as 100 by 225 Greek feet. That is a ratio of 4:9 (400:900), or two squared by three squared. 4+9 is 13, and 4x9 is 36. (The diagonal of a 2x3 rectangle is 3.6, the sqr rt of 13.) 4/9 is .444. The diagonal of 100x225 produces 24 degree angles, like the tropics. (Note that this is measured at the top step.)
It should be noted that 100x225 is thirty six 25x25 squares with perimeters of 100. That is equivalent to a 6x6 sun square made of those cells. The square below is 225x225, which we can convert to 9x9 by multiplying by four. We are reminded of the city in Ezekiel that is 4,500 on each side, 18,000 around. As 4=5 is 9, and 18/2 is nine, we presume that nine is the base number here, indicating the moon also.
What is being shown below is that a square with sides of 225, has a diagonal of 318 (Helios), which is the diameter of a circle with a circumference of 1000. The radius of the small circles is 112.5 (225/2), and have a circumference of 353.8 (Hermes). The 707 circle has half the area of the 1000 circle. 707 + 353.8 = 1061, Apollo. 612 is Zeus.

These are the same numbers that we saw above with nested squares. 1 is the earth, 707 is Venus and 353 is Mercury. Below we see an image from HPH Bromwell's book about Masonic Geometry. I have oriented it with east to the right and north at the top; this matches the twp rhombus. To match the inner rectangle we need to rotate 90 degrees.

The Masonic Lodge Floor

Below we see the Temple of Apollo. The inner circle in the previous illustration had a circumference of 353, here the length of the temple is 353. Here we see a 353x353 square, or 12.5 area, half of 25 (5x5). Notice that the perimeter of the square is 1415, about the square root of two. 1415, 707, 353.8 are sqr rt 2, half that and one quarter that. 1061 is three times 353.8

25 and 49
I recommend that the key to the naming of the gods lies in the doubling and halving of circles and squares. The vedic astrology chart of nested squares shows us that each successive square is half the size of the next, or double. The answer lies in what the numbers look like as we halve and double them. If we begin at 1, we get 2,4,8,16,32,64,128,256,512,1024. Ten doublings yield 1024, thirty two squared. We do not come back to a round 1. The sqr roots of these numbers are 1.414,2,2.82,4,5.6,8,11.31,16,32; half are multiple of sqr rt 2.
If we halfen the squares beginning at 100 we get, 50,25,12.5,6.25,3.1215,1.5625,.78,.39,.19,0976. Again we miss the round one. We find that to end with a round 100, we should start with .98 Note 98 is twice 49, or seven squared. Half 100 is 50, and 49 is the closest square number; one off. The sqr rt of 50 is 7.071; half the sqr rt of 2, the diagonal of a 1x1 square.
The numbers in the list alternate like the squares, with one half being the 1,2,4 series, and the other half are multiples of 1.414. One relates to five squared (25) and the other to seven squared (49). Consider the list from halfening 98; 49,24.5,12.25,6.125,3.0625,1.531,.7651,.3828,.191,.0957. The dome of the Capital in Washington measures 96 feet. 612 is Zeus. 1225 is 25x49, the sum of the seven square. Athena is 76 (77).
You will recall the story of the 153 fishes in the gospels; here you can see the source. .76 (Athena) is half that (153), and it is one fourth of 612 (Zeus), which is half 1224.

If the diagonals had been an even 1.4 and .70, things would be different. In nested squares, one set progresses as 2,4,8,16, etc, while the other progresses as multiple of the square root of two, or 1.4142. The square root of 200 is 14.142. With sides half that (7.071), the next square has one quarter the area, or 50. One quarter of 50 is 12.5, the square of which is 3.538. One quarter of that is 3.125, the square root of which is .76. 76 is Athena, and 353 is Hermes, you can see that and 707 in the image above.
Remember that the District of Columbia has sides 10 miles long and a diagonal of 14.142 miles.
Apollo equals 3 x Hermes, or 353.8 + 707.1 (1061). Hermes/Mercury has an 88 day period of rotation, and 88 x 4 = 352. Twelve lunar months of 29.5 days each is 354 days.
The series that includes 153, 612, and 1224 derives from dividing 49 (seven squared) in half. The other number in the series of interest is .7651. Athena is 76 (77), 612 is Zeus. The total of the 49 numbers in the seven magic square is 1225, which is 25x49.

Squares and Rectangles Again
Imagine you have some 1x1 tiles. You can fill a 1x1 space with one tile. If we make a border around the 1x1 space one half tile wide, we produce a 2x2 space that requires four tiles. Another half tile border produces a space 3x3 that takes nine tiles. Note that odd grids have a tile on the centerr, while even ones center on a corner where four tiles meet. 3x3 is eight around one, 5x5 is twenty four around one, 7x7 is forty eight around one, and 9x9 is eighty around one.
If we begin with two squares, a 1x2 area, adding the one half border yields, 2x3, 3x4, 4x5, 6x7, etc. The center of this lies on a line. If we begin with a 1x3 figure, we always have a square centered. Adding the one half border yields 2x4, 3x5, 4x6, 5x7, 6x8, etc. We recognize 1x3 as the Temple and Tabernacle ratio, 2x4 (1:2) is the ratio of the court, 3x5 is the side of the Ark of the Covenant, the end of the fire altar, and the end of Noah's Ark. 3x5 and 5x7 are photo sizes and index card sizes.
4x6 yields a ratio of .666. 6x8 is the famous 3,4,5 triangle. If you read you will see that the Egyptians like the 3,4,5 traingle because you could used a rope 12 units long to make it. They were also fond of the 36, 54, 90 degree triangle. Looking at a trig table we see the tangent of 36 is .726. The 3x4 ratio yields .75, and is just shy of 37 degrees. The 5x7 yields a .714 ratio of 35.5 degrees, and the area is 35 sq units.

Above we can see 'the pattern' in the Parthenon. The inner rectangle is three (red) circles wide. Adding one half circle all round gives a rectangle that is 2x4 circles, and it generates circles twice as wide. The larger rectangle is two of these wide, and one tall. This generates the square and large circle four times as wide as the beginning circles. Inside the central rectangle we use more circles to get reduced dimensions.
Look at the three medium circles and notice that the top step falls where they cross. That is 60 degrees latitude on the globe. The inner rectangle falls at 30 degrees.

A Model of the Cosmos
On page 197 of Jesus Christ Sun of God, after repeating John Michell's idea that the temple was designed to attract a particular god or spirit, David Fideler writes that the temple was seen as an image of the entire universe, and was laid out accordingly. I have tried to show that the dimensions of the artifacts in the Bible refer to astronomical lines as HPH Bromwell calls them.
My questions for Fideler would be, if temples were images of the universe, and the 'form and situation' of the universe is reflected in particular astronomical angles, how do the temples to the different gods differ within that model? If you look at his own illustrations, he has numbers pertaining to Zeus, Hermes and Apollo in the same temple? Also we would want to know how his analysis fits the Hebrew Temple, as they served only one God?
See my page concerning Geometric Design Principles.