.
So the edge-on-viewing periods
are NOT equally spaced in time: they are
13.7 years apart and then 15.7 years apart and then ... and so on.
An edge-on-viewing period (with 3
edge-on views) occurred
1995--1996
(see Wikipedia:
Rings of Saturn: Saturn's axial inclination).
The
lower left view of
Saturn in the
image probably shows
Saturn
shortly after
the last edge-on view in
1996.
Because Saturn's rings
are very flat---ranging from ∼ 10 m to ∼ 1 km thick
(see Wikipedia: Rings of
Saturn: Physical characteristics)---the
Saturn's rings
practically vanish at an edge-on view.
Saturn's rings
are most full at about the two Saturnian solstices which happen twice a
Saturnian year (29.4571 Jyr)
at about midpoint times between the
Saturnian equinoxes.
For a bit of astronomy history,
Galileo (1564--1642)
was the first to observe
Saturn's rings
with his
Galilean telescope
in 1610, but
he could NOT determine what they were---planets?
appendages?---he described them sometimes as "ears".
When Saturn's rings
vanished in an edge-on view in
1612,
Galileo commented
"Has Saturn swallowed his children?"
referring to the myth
of the Greek god Cronus
(who was syncretized
to the Roman god Saturn)
swollowing his children---they got out later on.
For reference, see
Wikipedia: Rings of Saturn:
Galileo's work;
Wikipedia: Galileo:
Saturn and Neptune.
Christiaan Huygens (1629--1695)
in 1655 was the first to propse that
Saturn had a
planetary ring
and viewing the planetary ring
nearly edge-on caused the periodic disappearance of the
planetary ring
(see
Wikipedia:
Christiaan Huygens:
Saturn's rings and Titan;
Wikipedia:
Rings of Saturn: Ring theory, observations and exploration).