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golden proportions Pythagorus 'golden proportion' relationships are drawn from the construction parts of a pentagram centred star. Fibonacci numbers series of related proportional ratios depend upon the multiplication the greater dimension by 0.618, which thus determines the lesser dimension. This ratio described in numbers by Leonardo da Pisa, known as Fibonacci is coincidental in number ratios to the Pythagorean geometric ratios of 'golden proportion ratio of lesser to greater'.

height 30 cm x width 40 cm external [ ratio:.75 ] mount margins __ top and sides margins 6 cm _ base margin 6.7 cm window internal __ height 17.3 cm x width 28 cm [ ratio:.617857 ] The base margin is 0.7 cm greater than top and sides margins to allow for necessary mechanical and optical 'lift' effect when mounted artwork is placed in a frame. If one were to use a half imperial size sheet of paper at 15 inches high and 22 inches wide ( aprox. 38 cm x 56 cm ) to make an artwork landscape format image having height at 11.75 inches and width at 19 inches; dimensions ratio of 11.75 / 19 = 0.618421, ( close to Fibonacci's series from 1:1.618 ); the top and side margins will be equal at 1.5 inches and the base margin will be 1.75 inches. The finished artwork might then be window mounted into a 19 inches high and 26 inches wide framing. Thus having window mount 3.5 inches margins at top and sides and 3.75 inches bottom margin. 19 inches x 26 inches frames might require special sizes framing. ( 8 pieces out of 8 feet x 4 feet panel plus 22 inches x 18 inches offcut piece ) Standard size mass production ready-made framing at 50 cm x 70 cm can accomodate a 'golden proportions ratio' mount window opening size at 33.4 cm x 54 cm _ [ height to width ratio = 1:1.6185185 ]. The artwork might be a little larger, to allow for small margin tolerance mounting overlap, as actual and specified as height 34 cm x width 35 cm _ [ height to width ratio = 1:1.6181818 ] For ease of handling and transport in cars or small vans the 'poster size' frame at 70 cm x 100 cm or 100 cm x 70 cm is a recommended maximum picture frame size. This size would provide for broad window mount margins at 16 cm top and sides with 16.7 cm base margin, suitable for working off a 50 cm x 70 cm monoprint plate. This leaves only a narrow mounting margin of 1 cm each side. These margins provide a landscape format image area at 37.3 cm height and 68 cm width. As a portrait format the image area is at 67.3 cm height and 38 cm width. 15cm x 20cm, 20cm x 25cm, 30cm x 40cm, 40cm x 30cm, and 50cm x 70cm, 70cm x 50cm frames will mount images conforming quite closely to a proportional ratio of 1:1.618 This ratio described in numbers by Leonardo da Pisa, known as Fibonacci. Coincidental in number ratios to the Pythagorean geometric ratios of 'golden proportion ratio of lesser to greater'. A scale of aproximately 5.875 pixels / 1 cm is used here in illustrations for viewing via internet and for printouts on A4 portait format paper. click on links below for five window mounts' measurements notes for three frame-back sizes to suit artworks as window mounted at aproximately 'golden proportions' ratios of dimensions : 15cm x 20cm : 20cm x 25cm : 30cm x 40cm and 40cm x 30cm : 50cm x 70cm and 70cm x 50cm : 70cm x 100cm with mount window at 50.6cm x 81.6 at ratio 1:1.620098 ___ If mount window cutting is at 50cm x 81cm then as a result of cutting at bevel angle 45 degrees there will be an amount of about 0.2cm smaller mount window all around, as being aproximately about golden proportion at about 50.155cm x 81.155cm at ratio 1:1.6180149 : window mounts sizes list : limited edition numbered prints in window-mounts sizes notes : window mounts cutting plan 60cmx80cm, 40cmx50cm and 25cmx30cm : 70cm x100cm, with a 50cm x 60cm, a 30cm x 40cm with a 15cm x 20cm and two at 20cm x 25cm : 70cm x 100cm, with a 50cm x 70cm, 30cm x 40cm and a 15cm x 20cm : window mounts, frames and paper sizes notes : artworks on panels frames' sizes : studio notes practicalities matters

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