The TILTED SQUARE:
STEP 4. Using the top side of the triangle A—V1--V2, the "Tilted Square" AMNO is drawn. This square is important, because in some cases, the artist includes a symbolic reference to a crypt, or burial chamber. The location of a symbolic burial site is indicated at the intersection of the diagonals of the tilted square. Note how diagonals AN and MO intersect at the point designated as PX – or “X marks the Spot”. This is the basic Grail Geometry that emerged in the 13th century in The Templar Map of Jerusalem (now in the Royal Library, The Hague)
STEP 4. Using the top side of the triangle A—V1--V2, the "Tilted Square" AMNO is drawn. This square is important, because in some cases, the artist includes a symbolic reference to a crypt, or burial chamber. The location of a symbolic burial site is indicated at the intersection of the diagonals of the tilted square. Note how diagonals AN and MO intersect at the point designated as PX – or “X marks the Spot”. This is the basic Grail Geometry that emerged in the 13th century in The Templar Map of Jerusalem (now in the Royal Library, The Hague)
The HEXAGRAM:
Step 5. To the original tilted triangle A—V1—V2 is added a second equilateral triangle VH1—VH2—VH3. This makes a regular hexagram – an important feature of the Grail Geometry. This geometric pattern remained secret since the 13th century until it was divulged in the 20th.
Note that at “V1”, the lower vertex of the first tilted triangle, the angles 75, 60, and 45 degrees are shown. These angles, made with the horizontal base line of the pattern, are the sine qua non of the Grail Geometry. If these angles are discovered (as shown) in a painting, it is a sure sign that the artist knew and employed this secret geometry.
Vermeer was devoted to using the hexagram as a compositional guide. In some paintings he used two and even three hexagrams to achieve the effect he wished.