# The Ulam Spiral

## Det. -1.

Spiral populated by:
type – (1,1) 6-folds
type – (1,0) 6-folds
type – (0,1) 6-folds
type – (0,0) 6-folds

All the 6-folds

Spiral entries to be
multiplied by “6”

## Det. -2.

Spiral populated by:
type – (1,1) 6-folds
type – (1,0) 6-folds
type – (0,1) 6-folds

All the 6-folds
having 1- or 2

## Det. -3.

Spiral populated by:
type – (0,0) 6-folds

All the 6-folds
having no

## Det. -4.

Spiral populated by:
type – (1,1) 6-folds
type – (1,0) 6-folds

All the 6-folds
having a lower

## Det. -5.

Spiral populated by:
type – (1,0) 6-folds

All the 6-folds
having only a lower

## Det. -6.

Spiral populated by:
type – (1,1) 6-folds
type – (0,1) 6-folds

All the 6-folds
having an upper

## Det. -7.

Spiral populated by:
type – (0,1) 6-folds

All the 6-folds
having only an upper

## Det. -8.

Spiral populated by:
type – (1,1) 6-folds

All the 6-folds
having a lower- & upper

## Findings.

Det. -1:
This detail gives an efficient and immediate
overview of the interdistribution among each other of
the 4 types of 6-folds.

Det. -2:
In this detail a significant number of rows can be seen
but they come in 2 different kinds, as follows.
1):
Rows at 45° from horizontal or vertical.
2):
Horizontal- & vertical rows.

Rows per 1) are “on-track” rows
and are therefore unremarkable.
Rows per 2) are “across-track” rows
and are therefore remarkable.

Due to the crowded population of the 6-folds
remarkable rows can emerge per chance, to some extent.
The determination of the situation -chance or not- might require a
computerized analysis of a more extensive spiral.

Det’s. -4, -5, -6, -7:
The situation in these details is much the same as it is with detail -2.

Det. -8:
The population in this detail might well be to sparse
-even in a more extensive spiral with computer analysis-
to present a meaningful display of rows of 6-folds.

Det. -3:
This detail presents the strongest appearance of
“across tracks” horizontal- & vertical rows of 6-folds
forming a display of interest and
it seems to be be a good candidate for
further computerized investigation of a more extensive spiral,
and maybe to find out what forms these rows.