|Below, the construction of the basic units from a square:
1. √ 2 rectangle
2. A golden rectangle
3.√ 5 rectangle
|The following diagrams show the relationship between the golden rectangle, the pentagon and the golden section, or golden ratio.
The golden section or the divine proportion is given the ratio of 1:1.618. These diagrams are from the artist's controversial and still
unpublished research into charcoal marks and compass holes found in the infra-red examination of Tintoretto's Bamberg "Assumption of the
Virgin Mary". The artist is well aware of the importance of the work done by many intellectuals with regards to sacred geometry and finds
the following publication the most adequate answer to date.
From Footnote 19 of the artist's research on the Tintoretto painting.
Peter H. Richter/Hans-Joachim Scholz, Der Goldene Schnitt in der Natur. Harmonische Proportionen und die Evolution, Munich and Zurich 1987, p.211.
'The remarkable fact that the golden ratio characterizes the last ordered motion before complete takeover by chaos, is not only true for the
double pendulum. It is one of the amazing universal features of complex dynamics that computer experimentation has brought to light in
'Der Goldene Schnitt...ist in wohldefiniertem Sinne das irrationalste aller Zahlenverhältnisse und charakterisiert somit in Geometrie und Dynamik den
Gegenpol zu Kommensurabilität und Resonanz'. For further information regarding recent research into the golden ratio see, Richter/Scholz, 'Das ebene
Doppelpendel' (The Planar Double Pendulum), Film C1574, Publikationen zu Wissenschaftlichen Filmen, Sektion Technisch Wissenschaften, Series 9, Number
7, Göttingen 1986, p.34.
|An Analysis of "The Assumption of the Virgin Mary" by Jacopo Tintoretto - Michael Price
Images courtesy of the Doener-Institut, Munich, Germany.
The following images, both infrared and X-ray images provide and outline of the artist's on-going research into a curious puzzle surrounding
Tintoretto's "Assumption of the Virgin Mary" in Bamberg, Germany. A few infra-red images showed compass holes and very sharply incised
charcoal lines that indicated the use of large stencils to position some of the figures on this very large painting. The figures are life-size.
The investigation is centred around the following important discoveries:
1.Two infrared images showed compass holes, one of which is very clear.
2. One infrared image shows a small charcoal cross for the position of one of Maria's hands.
3. Another infrared image reveals incised lines to position the foot of an angel at the top of the painting.
|Tintoretto's "Assumption of the Virgin Mary"
during restoration showing the painting
removed from its stretcher
|A composite of the x-ray images of the
painting showing hardly any changes to the
original disposition of the figures
|The X-ray images revealed hardly any compositional changes for a painting that had to be executed using a scaffold.
The question is did Tintoretto use geometry as a compositional tool for the disposition of the figures?
The author's approach to answer this question is to try to find the exact position of the compass holes in relation to each other and to the
format of the painting. Unfortunately, the author was introduced to the unsolved puzzle after the Tintoretto painting had been restored and
returned to Bamberg.
Since one cannot use photographs of the painting due to a considerable distortion of the format through a camera lense, the author decided
that using the series of available X-ray images on a 1 to 1 scale would provide the most accurate method of measuring the distance between
the compass holes and the distances between the compass holes and the edges of the painting.
1.The right edge of the painting has been cut by a few centimeters. This creates the difficulty of calculating the original format, but based on
the evidence of the width of the loom to produce the roll of canvas used for the painting, the cut-off piece was estimated to be about 4cm.
2. Piecing the X-ray images together requires a lot of patience especially where there are overlapping images. Details of this are recorded
The following four infra-red images provide the most compelling evidence for the use of geometry and stencils for the disposition of the
main figures in the composition.
|The Use of the X-ray images to provide the necessary measurements to assess if geometry was used for the
disposition of the figures.
The following X-ray images produce a full size replica of the "Assumption of the Virgin Mary" by Tintoretto. The final measurements were
made on the author's visit to the Doerner-Institute in Munich (December 2004). The main difficulties of putting the X-ray images together
on a large light wall are:
1. Lining up any overlapping of the images
2. Deciding where the edge of the painting is when the canvas is badly frayed
The measurements taken will require some time to evaluate.
|The complete analysis is presented in
"Renaissance Mysteries, Vol. I, Natural Colour
and Vol. II, Proportion and Composition".
For further details go to: