The Cube and the Map - Part 2 The next couple of pages feature my latest research into the DC map as of April 2006. Everything that I had written up to this point about Metatron's Cube had focused on the western part of the map, and was centered on 16th Street. My conclusion in Part 1 was that the DC city planners used Metatron's Cube and the A-shaped Tree contained therein, as templates for the map by reducing it's height so that it matched the slope of the Pyramid cross-section. There was a slight problem with the location of the Capitol, so the bottom corners of the map/cube are distorted. Part 2 adds the eastern part of the map into the mix.
East of the Capitol Building In order to straighten Penn Ave and the bottom of the map/cube, the Capitol Bldg would have to be moved to the south. The image below has the streets that would be moved painted in green. Notice how there is a symmetry around East Capitol Street that connects the CB and Lincoln Square. Moving the CB to the south would also move E Capitol St and Lincoln Sq with the streets that radiate from that. The resulting straightening of Penn Ave would change Maryland Avenue, but need not change the angles of the other rays running north and south from the CB. The vertical purple lines show how the east side of DC is divided compared to how the west side is divided. The scale of the division, while being regular, is different in the east than it is in the west. You will recall that the points of the pentagram determine the division of the west side of the map. Mass. Ave. Note the slight bend in Mass. Ave. as it crosses the axis at the Capitol Building. Here we are presented with a quandry like at the CB. Since it appears that the Avenue was bent in order to coincide with LSQ, why not just move the square to the east, and make the avenue straight? I suggest that the answer to this riddle lies in the placement of the purple axis lines. Lincoln Sq needs to line up with the CB to form the E-W axis, but it also needs to pinpoint a N-S axis, just as the CB does. I beleive the the N-S lines that divide the map are more important here, and that Lincoln Square was shifted to the north with the CB. Note that moving the CB and LSq south would make the bend in Mass Ave worse, unless the square were further to the east. Remember that this line formed by Mass Ave from NW DC to the 0 axis, is like the upper parts of PA and NYA, the correct part of the map, that which fits the cube, therefore, the extension of Mass Ave (past the 0 line to the SE) should parallel the straightened Penn Ave, and provide a good "regulating line" for the map design. That is, if we move the CB and LSQ south in order to straighten Penn Ave, LSQ would need to be moved east to straighten Mass Ave. 150% As it turns out, the distance between the black lines in the west is 150% of the distance between the purple lines in the east; meaning that if you increase the scale on the east side, you can make LSq the same distance from the CB as the WH is. In the following image the scale in the east has been adjusted to match that in the west, providing for an equal distribution of the axis lines all the way across the map. Note that the position of the CB and Lincoln Sq have not yet been moved in this rescaled version of the map. This map is just stretched in the east so that the N-S axes are the same distance apart as they were in the west. In the image below, the eastern part of the map has been shifted south as one unit; East Capitol St has been re-aligned with the southern edge of the Mall. Next Penn. Ave, Mass., and NY Ave's have been projected onto the redrawn map (following the example known as "construction geometry" used by cathedral builders). Maryland Avenue has been redrawn from the new CB position. Note that Lincoln Square falls right on the projected Mass. Ave., east of the new CB position and on the same axis as the WH, east instead of west. That is, it is the same distance between the WH axis and the CB axis as it is between the CB axis and the LSq axis. Below both the front and back sides of the dodecahedron are matched to the double cube and the map. The yellow circles mark the corners (front and back) of the dodecahedron, while the orange ones mark the centers of the top and bottom faces of that. Remember that this is a "wrap around" image, so that both orange circles at the top fall on the same pentagonal face, and the same goes for the bottom circle. The purple cirlces A and B also overlap one another. Note that in the single cube image (left above), the corners of the hexagon represent both the front triangle of faces (red circles) and the back set (blue), and that Scott Cr marks the center of the upright pentagonal face on the front side. Doubling the cube allows for portraying the faces on the back side (blue circles on the right), and Lincoln Sq marks the center of the upside down pentagonal face that is opposite (through the dodecahedron) to Scott Cr. The image above illustrates the left hand side of the map as a dodecahedron, then the right side, then the two overlapped as in the single cube image.

The Cube and the Map - Part 2

The next couple of pages feature my latest research into the DC map as of April 2006. Everything that I had written up to this point about Metatron's Cube had focused on the western part of the map, and was centered on 16th Street. My conclusion in Part 1 was that the DC city planners used Metatron's Cube and the A-shaped Tree contained therein, as templates for the map by reducing it's height so that it matched the slope of the Pyramid cross-section. There was a slight problem with the location of the Capitol, so the bottom corners of the map/cube are distorted. Part 2 adds the eastern part of the map into the mix.

East of the Capitol Building
In order to straighten Penn Ave and the bottom of the map/cube, the Capitol Bldg would have to be moved to the south. The image below has the streets that would be moved painted in green.

Notice how there is a symmetry around East Capitol Street that connects the CB and Lincoln Square. Moving the CB to the south would also move E Capitol St and Lincoln Sq with the streets that radiate from that. The resulting straightening of Penn Ave would change Maryland Avenue, but need not change the angles of the other rays running north and south from the CB.

The vertical purple lines show how the east side of DC is divided compared to how the west side is divided. The scale of the division, while being regular, is different in the east than it is in the west. You will recall that the points of the pentagram determine the division of the west side of the map.

Mass. Ave.

Note the slight bend in Mass. Ave. as it crosses the axis at the Capitol Building. Here we are presented with a quandry like at the CB. Since it appears that the Avenue was bent in order to coincide with LSQ, why not just move the square to the east, and make the avenue straight?
I suggest that the answer to this riddle lies in the placement of the purple axis lines. Lincoln Sq needs to line up with the CB to form the E-W axis, but it also needs to pinpoint a N-S axis, just as the CB does. I beleive the the N-S lines that divide the map are more important here, and that Lincoln Square was shifted to the north with the CB.
Note that moving the CB and LSq south would make the bend in Mass Ave worse, unless the square were further to the east. Remember that this line formed by Mass Ave from NW DC to the 0 axis, is like the upper parts of PA and NYA, the correct part of the map, that which fits the cube, therefore, the extension of Mass Ave (past the 0 line to the SE) should parallel the straightened Penn Ave, and provide a good "regulating line" for the map design.
That is, if we move the CB and LSQ south in order to straighten Penn Ave, LSQ would need to be moved east to straighten Mass Ave.

150%

As it turns out, the distance between the black lines in the west is 150% of the distance between the purple lines in the east; meaning that if you increase the scale on the east side, you can make LSq the same distance from the CB as the WH is. In the following image the scale in the east has been adjusted to match that in the west, providing for an equal distribution of the axis lines all the way across the map.
Note that the position of the CB and Lincoln Sq have not yet been moved in this rescaled version of the map. This map is just stretched in the east so that the N-S axes are the same distance apart as they were in the west.

In the image below, the eastern part of the map has been shifted south as one unit; East Capitol St has been re-aligned with the southern edge of the Mall. Next Penn. Ave, Mass., and NY Ave's have been projected onto the redrawn map (following the example known as "construction geometry" used by cathedral builders). Maryland Avenue has been redrawn from the new CB position.
Note that Lincoln Square falls right on the projected Mass. Ave., east of the new CB position and on the same axis as the WH, east instead of west. That is, it is the same distance between the WH axis and the CB axis as it is between the CB axis and the LSq axis.

Below both the front and back sides of the dodecahedron are matched to the double cube and the map. The yellow circles mark the corners (front and back) of the dodecahedron, while the orange ones mark the centers of the top and bottom faces of that. Remember that this is a "wrap around" image, so that both orange circles at the top fall on the same pentagonal face, and the same goes for the bottom circle. The purple cirlces A and B also overlap one another.

Note that in the single cube image (left above), the corners of the hexagon represent both the front triangle of faces (red circles) and the back set (blue), and that Scott Cr marks the center of the upright pentagonal face on the front side. Doubling the cube allows for portraying the faces on the back side (blue circles on the right), and Lincoln Sq marks the center of the upside down pentagonal face that is opposite (through the dodecahedron) to Scott Cr.

The image above illustrates the left hand side of the map as a dodecahedron, then the right side, then the two overlapped as in the single cube image.