“Golden mean spirals”
Original Graphics, signed and numbered, 2006/7.
How variously and vividly the golden section can be shown is demonstrated in
this graphic arts series executed in 2006. Four squares following on each other,
whose side lengths comparatively decrease by the golden section, are agilely
connected on the corners. The relative twist corner between two squares following
on each other is steady. In a series of eight graphics the respective stations
are shown in steps of 45°.
“Golden mean spirals” - detail
Jo Niemeyer, artist
"Art and mathematics… an experiment... The basis of my work as an artist
is the connection between art and nature, between the artistic action and the
experimental work. This means that my artistic production which is fundamentally
based on natural principles and measures is nothing more than a sequence of experimental
steps which implies given and objective criteria and subjective factors in the
same way. On the one hand my work is based on events in nature and civilization
as well as on communication with colleagues of other disciplines. The dual pole
mathematics - art is for me not only the basis of my experience but at the same
time my central theme. My main interest is directed to the perception of space,
time, distances and proportion and forms the synthesis between art and nature
which implies in the end a dialogue between man and nature..."
(link for java applet)
http://www.jo.niemeyer.com (link to
Another work by the artist
“golden section construction 271...”
Prints + 1 original, 20" x 24", 2007.
W hen an isosceles triangle of any height is constructed
on a line segment, we obtain according to our drawing an extension of the
golden section via the diagonal of the rectangle with sides corresponding
to two different sides of the triangle.
As we have a free variable we obtain an infinite
number of possible constructions for the golden section.
On the last sheet the triangle is 'degenerated' to a line and a centre and
corresponds to the customary classical construction.
Conclusion: When we construct a triangle using three congruent
rectangles of any size, we obtain according to our drawing
the extension of the golden section. This also works the upright way, reversing