Very generally speaking, The Chalice's key inherent shape(s), the 6-pointed star, is formed by a downward-pointing pyramid, which descends to pass partially through an ascending, upward-pointing pyramid. This traditionally represents a balancing and/or merging of opposites. This balancing represents an event which occurs on all levels of experience and consciousness, and particularly along the "vertical continuum" (as esoterists generally refer to it -- heaven and earth, God and man, formless and form. The "horizontal continuum" would refer to left brain & right brain, yang and yin, male and female, etc.) As such, it represents the conscious balancing of these forces (as appropriate to any given circumstance) as the Path to the God within, as well as the matrix (web) for the well that is filled in the meantime (through life experience). And through all this occurs the transmutation of "the little self" into the SELF that is fully self-realized. It doesn't matter what religion or philosophy one travels by to accomplish the purpose of moving effectively (spiritually) along the path of self-realization. EG: whatever gets one in/to that Divine space and moment IS what *works* for that purpose. (Note: I am still speaking about process orientation and not about the ends determining the means. Context will bear me out.)

In More Detail:

        In every cell of every living being, Father and Mother God (or Alpha and Omega) produce a vortex through the interplay of their complementary archetypic forces. Hence, every cell in the human body, as well as each of the energy centers, is also a chalice for the flow of divine forces. The Chalice is/represents the form that hosts the divine creation of these most Yin and Yang forces -- note the 'S' curves in the circles/spheres. (Please refer to the white on black diagram above). The ascending & descending triangles/pyramids represent the merging of the two forces -- as mankind is caught in the magnetic/karmic forces of the vortex and the struggle, the paradox of divinity in humanity, of male and female so different and apart yet bound together inseparably, and in all the emotional dilemmas that this creates for building the all consuming fire of transmutation -- in the "cauldron of the Tao," as represented by the overlapping/sharing of the pyramids' capstones. Here the ego and spirit combine to burn and fuel the process of evolution/transcendence (The above prose by yours truly, "Chalice Bridging... Synthesis" says it in another way).
          NOTE: When I use the term "evolution" at this website, I am referring to the psycho-social evolution of humankind, not the physical as we generally consider it. And usually from the perspective or paradigm that looks at the recent psycho-social trends - in comparison to the overall course of mankind.
        The geometric dimensions in the piece are born out of the sacred pi ratio; There is a key relationship between sacred geometry and to how each bio-organism is actually designed and formed at the atomic and molecular levels, to the DNA and how it serves to relay energy and information from the etheric to the bio-magnetic to the physical within each being and as that being. And the above is due in great part to, yes, the SHAPE of these elements - via micro-electric polarities and charges and thus transfer of energies of various frequencies - via arrangements and geometric proportions that exist within each atom & molecule, AND exist as formed by groups of atoms & molecules. This is why the pi-ratio (and "sacred geometry") is so important. These particular arrangements exert primary influence on human bio-magnetic resonance, and this resonance is what allows our senses to perceive that anything exists within and around us, not to mention our own existance.         The Yin-Yang curve is explained above; the heart curves, also in a balanced yin-yang interaction, represent the element of compassion for all life (each cell; each sentient being) in all situations. The mythical story of Camelot -- to the degree it was a myth -- represents each person's process in bringing these forces into balance within him/herself.
        At the points of their meeting, the polarity between the two primeval forces ceases, the charge in nil, the full realization of Self as God/Goddess is complete. This is also where there is a geometric balance of the ascending and decending triangles or pyramids - and is where it looks like the symbol that is popularly known as the Star of David. As you might imagine from the above, this energetic arrangement long preceded any conception of any organized arrangement of beliefs brought under what we call religion.
        In the next stage, the pyramids pull apart (vertically) symbolizing the extension from the androgynous form of God into it's Male and Female polarities. As it takes great force to do this, a magnetic force field of attraction between them is also created, thus forming a vortex of energy. Various harmonic waveforms of the vortex extending into other dimensions, each representing a quality of God, is also formed for each of the male and female polarities, including one for each universal primary energy center (or "chakra") of God.
        From these energy centers are projected the chakras of every living entity, from the angelic level to that of the most basic organism....               (continued below)

        One of the first means of communication that mankind recognized was how a person holds his body - how one or more body parts are positioned relative to all the other body parts. This was one of the first clues about a person's physical health as well as state of mind or emotion. The next extension of that was how one arranged one's own body in relation to that of another. Many, perhaps all, moral and cultural codes stem primarily from just these two realities.
        The next extension of communication in the physical world was probably how one arranged ones belongings, clothing and bodily ornamentation, and then how one arranges or positions less intimate property items. Eventually, this extends to how one's domain is arranged, internally as well as in relation to the community centers, shops, business centers, and the places set up for those who make major decisions for the community.
        I don't mean to minimize the aspect of verbal language development, but even that is centered around the description of physically situated persons, objects, symbols, arrangements, thier reltionships, as well as their changes and movements. Art, as a natural extension of communication, becomes all about how one arranges the objects depicted, not to mention the colors, tones, connecting elements, and so forth.
        The more definition one is able to communicate about things, the more the attribute of intelligence is naturally associated with or formally assigned to the communicator. Thence is developed the labeling, classifying, organizing of the information that is communicated. Granted, the increase in specificity and use of definition probably developed primarily as a result of verbal communication. But it was still ABOUT things, including people of course, and their positions. Eventually, in any form of communication, there is developed a certain amount of sophistication. The amount/degree of that sophistication also became associated with the amount/degree of ones mental intelligence.
        Here's where geometrics, as a sophisticated form of positional arrangements, enters in as a form of communication. Actually, geometry could probably have defined the most early forms of bodily positionings - body language - that communicated to others ones position and direction, stature and status, purpose and intention, confidence and power: virtually any and every attitude and demeanor. And of course, Michalangelo and Galaleo are well known to have incorporated sacred geometry into the design of their art, whether the art was centered around people, buildings, or objects.
        What we have found, is that the communications of the more sophisticated people of the early ages (including that of historians, whether by intention or by circumstance), was often done between those who felt they needed to communicate primarily, if not exclusively, to others with a comparable degree of sophistication. And apparently they often felt the need to communicate more or less secretly. Geometry became the way for them to accomplish that purpose. Learning the history of those times, we can understand why they felt a need for secrecy and code. They didn't use computer algorythms back then. Hence, for those of us who want to understand the most sophisticated communications of those times, geometry becomes the mechanism to do.

Origins of Man

From the chakras of every living entity, from the angelic level to that of the most basic organism... [the viewpoint continues...] ...
        ... from and for all this -- the dimensions of time and space, human beingness, physicality, and materiality is created -- now dressed upon the matrix of the bridge between Mother & Father God(s). This matrix as bridge is the macrocosmic representation of the Grail or Chalice. It is thus both a vessel and a "vehicle" for the expansion of consciousness to include the Totality of God.
        From the most basic aspect of polarity comes the experience of separate identity (ego), of subjective perception, and the possibility of interrelating events between and among individuals. God loves so unconditionally as to create dimensions where S/He "separates into two and holds SELF apart for the purpose of the creation, mothering, fathering, and maturation of God Being Children.
        Given physicality, God's Children begin a learning process fitting all that consciousness into the bodies of flesh and blood. In this form, the learning experience of consciousness is brand new. There is more than one version of Genesis, and the Adam and Eve experience.

       It is a popular theory in the esoteric teachings that we "Souls" first incarnated on earth as the ideal etheric-to-bio-electric channel, or Divine-to-Human energy transformers of consciousness, or Son or Daughter of God. From there, over many generations, we slid downhill spiritually. That is, we gradually closed our channels somewhat, if not drastically over time. We did this by limiting our perceptions of ourselves as we compared ourselves with others, made judgments about worthiness; eg: about who could or couldn't experience the Love of God or of others, when or how much, etc. Feeling more and more separate from God and thus from others, we began to compete for favor in God's eyes, and in other's eyes, and felt jealousy. The limit-sensing nature of our ego became more specialized at comparitive pursuits, given the state of less energetic balance, and we thus became more and more "fallible" as human beings. It was as if our connection to the Source had become squeezed by our fear of increased separation. This eventually formed a "core belief" that we were unworthy to be unconditionally loved by/as God, and by others.
        If we ever truly were once so directly connected to God, we have obviously forgotten a great deal of that. And in any case, at various points in our evolution (through the process of many, many incarnations, some believe), we have compared ourselves to God-like beings, but have primarily struggled with conflicting beliefs about our inherent worthiness to be whole and happy.
        This belief pattern disharmony manifested in "energy-blocks" -- to divine flow -- in areas of our body-mind that are associated with highly charged belief pattern conflict. (I'll take up the energy block topic again in the section, "Personal Energy Blocks -- And Planetary Significance".)

        As the story goes, given the above process on-going through many generations since our first incarnation here, there was a loss of conscious memory of the true heritage of God's children. Thus it would seem we sooner or later began our evolution from the "ground floor" (or at the "1st chakra level") of consciousness with and within the physical body. But in any case, we have still retained an existential tension, or "divine intention," drawing us to empathize, to love each other, to our highest aspirations, to try to LOVE ALL Beings. And we have evolved to some degree as a result.