The Art of David Rankine  MANDALA 
SACRED GEOMETRY Sacred Geometry Online Courses
Sacred Geometry by definition is simply the acknowledgement and recognition that all matter, energy and form is structured upon basic geometric models and ratios. When we create using these same forms and ratios we cannot help but create beauty, whether it be dance, thought, relationship art or music... it will all resonate. Geometric forms are the forms of harmony and for each of us there is complex and also simple geometric hologram of energy. When we fall into the shape of it, then we are resonating with similar forms all through the Universe...and we are in flow. 
(Meanings and Use of Sacred Geometry) (Applications) (the celtic cross and the sefirot) 
methods of construction
Any Mandala (including a Sri Yantra) is a Sacred Geometric construction. All sacred geometric designs can be drawn using only a compass and straight edge. All these designs begin with a circle, which is created by one point revolving around another (static) point. The circle can represent expression of self or consciousness. The circle is "that which is", whole and complete and as we create more complex designs using circles we also simulate how interpenetrating consciousnesses combine to create complex systems.
The series of drawings below illustrate how we start off with the simple dynamic building block (a vesica piscis) created using a straight edge and compass. The combination of interpenetrating circles provides us with all the angles necessary to create any geometric form.
This method follows a incremental growth pattern*, from points to line to circles to angles to polygons etc and it always starts off with the same form (the circle) The more complex a design sought after the greater the number of steps necessary so the actual drawing of these forms becomes a moving meditation  a process of expansion and expression. The act of drawing mirrors the act of consciousness expansion.
a vesica piscis  the 90 degree angle  the 30, 60 and 90 degree angles 
Three circles touching centre points The 30 and 60 degree angles created by it. 

same three circle arrangement informing triangles in increments of 5 degrees 
The hexagon created by these angles. 
contained within and informed by the hexagon, would be a hexagram  a doubledelta (below)

Within the hexagon are also three interpenetrating PHI ratio rectangles 

The following design uses four interpenetrating circles. This design will also be used later to develop a matrix which will inform the positioning and size of all the nine triangles of a Sri Yantra 
four circles 10, 20, 30 and 60 degree angles the square within 
The Phi ratio present in the relationship of the width of the design to the face of the square informed by it 

PHI = 1.618:1 

We will see how PHI is revealed also with the structure of a Sri Yantra.

three circles intersecting through their centre points 
This arrangement can inform the construction of triangles (60 degrees, 45/90 degrees and 51.5/103 degrees), squares and pentagons 
The same drawing showing all the angles generated by connecting intersection points. 

notice that the triangle to the right has a 51.5 degrees face which is the same angle of inclination of 

the Great Pyramid of Cheops. This pyramid contains within it the PHI ratio (base: height= PHI)




Stand by for Sri Yantra construction methods! 