A GEOMETRY
OF ISLAM
The sense of geometrical
proportion is everywhere in Islam. It is conspicuous in
Islamic art but it is implicit in the very structure of the
religion. Those who want a proper sense of Islam and who
want to understand the religion in its formal integrity need
to understand the notion of geometrical proportion. Finally,
it is the measure of orthodoxy in Islam. All that is true to
Islam has an innate harmony in relation to the whole, a
harmony of geometrical proportion or ratio.
There is a fundamental set of proportions
written into nature according to the innate Laws of God. In
the Western tradition this set of proportions is associated
with the name of the Italian mathematician Fibonacci but
they were understood much earlier than him. The "Fibonacci
Series" is the sequence of numbers beginning 1, 2, 3, 5, 8,
13, 21, and so on, preceeding by adding together the last
two numbers in the series (3 + 5 = 8, 5 + 8 = 13) etc. This
series can then be transposed to rectalinear or spiraloid
geometry.

These proportions - the "golden ratio" -
are found throughout nature. In the picture below we see the
unfolding spiral sequence very clearly in the shell of a sea
snail.
The same proportions are found in
a pine cone, as below:
And the same set of proportions
are built into the human body:
Long before Fibonacci this same geometry
was integral to the pure forms of Islamic geometric art.
Islamic art is an exploration of the geometrical order than
underlies the diversity of natural phenomenon. It is an
expression and celebration of the theme: UNITY IN
MULTIPLICITY. The world of multiplicity emanates from
Unity.
But this same order of geometrical ideas
is reflected in the very internal structures of the Islamic
revelation itself. Islam has a
crystalline geometry. The
revelation "unfolds" according to geometrical laws. It can
be expanded by these proportions or it can be condensed by
the same proportions.
The diagram below illustrates how the
Muslim ummah - the worshipful community of Muslims -
unfolds. At its centre is the heart of individual Muslims in
remembrance of God (Dhikr). This then unfolds in the
individual's (voluntary) salat. This is followed by the
obligatory salat where two Muslims are gathered. Then the
family unit. Then the wider local community at Friday
prayers. Then the gathering of broader communities at the
Eid. Then, finally, the gathering of the whole ummah, the
whole human family, in the Hajj. These institutions are not
arbitrary. They unfold logically and naturally in
geometrical expansion. This is very typical of Islam. Its
internal structures are the emanating geometry of nature.
Islam is the natural religion of man, written into his
flesh, inscribed into the very structure of Creation.
We find this mode of geometrical thought
everywhere in Islam. It reveals an important principle of
construction. We find it in the following formula, for
example:
The whole of
the Koran is contained within the Fatihah.
The whole of the Fatihah is contained within the
Bismillah.
The whole of the Bismillah is contained in the Bah (the
first letter).
The whole of the Bah is contained in the point below the
Bah, the first drop of Divine Ink.
The whole is contained in the Principle.
Similarly, the whole revelation of the Holy Koran was placed
in the heart of the Prophet - peace be to him - on the very
first night of the revelation, the Night of Power. It then
gradually unfolded, expanding into the fullness of the
revealed Koran. The mission of the Prophet expands and
unfolds in stagse. On the Night of Power he was alone. Then
he brought the revelation to his wife Khadijah, then to her
family, then to his broader family, then to his tribesmen,
then to a wider and wider community and finally to all men
everywhere, expanding outwards in geometric progressions
with the heart of the Prophet at its centre. The Meccan
revelations reveal principles that are then "unfolded" in
the more specific revelations of Medina. More generally, the
Holy Koran is "unfolded" into the Sunnah of the Holy Prophet
- peace be to him.
This geometrical order is the secret
behind the gradual unravelling of the Islamic revelation
and, most importantly, the point at which the revelation
meets the natural order.
Islam can be expanded or condensed
according to circumstances. The entire religion can be
condensed, finally, into the perpetual prayer of Dhikr
(Remembrance), the invocation of the Name of God. The Name
is the whole of the Law. The Name is the great secret and
the summum bonum, the elixir of life, the stone of the
philosophers.
Equilibrium is a characteristic
spiritual quality in Islam. Islam is, in cyclic terms, a
return to a primal equilibrium, and its geometrical
crystalization is a result of this equilibrium.
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Unto Him is the real
prayer! - Koran 13:14