**666: epitome of numerical
triangularity**

As depicted below, 666 pennies may
be laid out in close formation on a flat surface to form the 36th
numerical triangle. While, in general, triangular numbers are
comparatively rare, 666 is *unique - *its uniqueness
resting on the fact that *all *its numerical attributes
are themselves triangles!

To further emphasise the remarkable singularity of this number, we observe,

(1) the sum of these attributes, 3+6+36+66+105 = 216, or 6x6x6!

(2) the highest prime
factor of 666 is 37 - this being *the only
number* whose counters may be arranged
symmetrically on a flat surface in more than two
distinct ways, thus:

Observe here that, (a) for convenience, uniform

squarecounters are used in the first of the structures depicted, (b) 73 (digit reverse of 37) is closely involved with both 37-as-hexagon and 37-as-hexagram and, (c) the latter are themselves amalgamations of numerical triangles

(3) that 666 may therefore be expressed as 18 x 37, or (6+6+6) x 37!

(4) the incidence of *three
sixes* in the digits of the angular dimensions of all
equilateral triangles, thus: