trigonal-spiral
Spiral-Mathematics-spiral2

Triangular numbers are
important recurring constituents
of polygonal- & polar spirals,
see orange colored webs in
examples above.

 

Triangular numbers are closely related to
the following sets of power-numbers:
2nd. powers of numbers,
3rd. powers of numbers,
4th. powers of numbers,
5th. powers of numbers,
6th. powers of numbers,
and therefore these sets can be
derived from triangular numbers.

For methods see “Derivations”.

All sets of power numbers can be
derived from triangular numbers,
but for ever higher exponents
the methods become
evermore expansive.