18 slides in 10 minutes:
…where software-based metrology unifies micro-scales with macro-dimensions…
18 slides in 10 minutes:
But my most likeminded heroes must be Giordano Bruno (1548 – 1600), Johann Sebastian Bach (1685 – 1750) and Pythagoras (570 BC – 495 BC) – besides everybody who contributed to the evolution of computing.
These Golden Verses are attributed to Pythagoras and end with:
Pythagoras is famous for his theorem a2 + b2 = c2. But what I have put into software is his other famous saying:
I found my favourite quote of Giordano Bruno in the Museum for Telecommunications in Berlin:
When updating my last post about the Digital I Ching, WordPress showed me 25 quotes by Terence McKenna that will blow your mind published by The Unbounded Spirit. I found them inspiring and insightful, especially the link between Cult and Culture, given that we are dealing with a father whose children accuse him of being the leader of a cult that kills babies and abuses them and 18 other ‘special’ children…
I also stumbled into NUMBERS as the fourth book of the Old Testament. There are 35 chapters in NUMBERS. Reading just the titles, is like reading the history of people divided between living in unison with god and fighting that what can be called god or ‘universal’ and ‘cosmic intelligence’.
I noticed the ‘threescore’ for Judah and Dan. I wrote it as if it meant 100,000, but that’s hardly correct. The ‘numbering by their names’ is to me the attribution of numerical values of letters.
In our troubled times, we each have to find our sources for meaning and making sense of all phenomena around us.
Blessed be the internet with its fountains of data, information, knowledge and wisdom!
The I Ching is no magic; it is a science we don’t understand.
The use of octal numbers has allowed me to find ‘stable’ hexagrams, i.e. those with dual octal digits: the values 00, 11, 22, 33, 44, 55, 66, 77.
In digital designs, they can be represented from four ‘view points’ or ‘cornerstones’:
When used for divination, two hexagrams are used: one to represent the Here and Now and a second one that the current situation changes into, based on those lines that change when we make our conventional or binary divination.
The position of two hexagrams within a set of hexagrams and eight different sets adds new scope for interpretation:
1. Which ‘quadrant’ or ‘directional context’ of change do our two hexagrams occupy? That depends on the ‘intensity’ of change, as indicated by the ‘stability’ of the two hexagrams:
The meaning of the quadrant position is explained also under polarities:
2. Which ‘plane’ are we moving from and to:
It is this combination of visual beauty and numerical accuracy that adds new value to this ancient wisdom.
Or are we moving
3. How do we interpret the comparisons of visual positions and numerical values of two hexagrams?
Row 1 contains hexagrams with octal values 10, 11 … 17.
Row 7 contains hexagrams 70, 71 … 77.
And so it goes:
a new visual order thanks to a new numerical order!
Above all, marvel at the beauty of the visual and numerical symmetries!
These are the first images I produced with GIMP.
Let’s see where the digital paintbrush will lead me…
In the next collection of diagrams you will notice the symmetry created by organising the hexagrams in four different ways:
Thus they form a new kind of ‘visual ensemble’:
Light (heaven) at the centre radiates towards Dark (earth) on the outskirts.
And now in reverse order, with earth at the centre and light at the periphery:
Or with the highlights of colour:
1. from 00 to 77, i.e. Earth to Heaven, starting at four different corner points:
2. from 77 to 00, i.e. Light or Heaven to Darkness or Earth:
It may sound terribly presumptuous, especially for the English culture, when I write: Mathematical Woman, here I come. But I am old enough to wear a Purple Hat with pride and am just reading God, Physics and the Gender War.
The author Margaret Wertheim writes beautifully about science and the problems that it hasn’t solved yet – also in this TED discussion. And she writes about the Ascent of Mathematical Woman, besides all the reasons why women haven’t had equal chances yet. At the last event on Intelligent Imaging we were 64 participants and 4 women.
Her chapter on Rene Descartes who is famous for “I think, therefore I am“, reminded me of what I always claim: by practising ‘software-aided thinking’, I re-visited mathematics through the eyes of a mature programmer and came up not only with incredible insights, but also prototype software that produces unique screenshots by demonstrating three innovative software methods.
If men can be humble enough to express their admiration, I get a bit of positive body language. The professor who said “This is the most important work since relativity theory, because it’s about understanding number” claimed later I was mis-quoting him.
So I keep trying to find potential clients, collaborators and partners with whom to build smart knowledge portals without explaining the mathematics behind them.
Let the software drive the minds of its users
as an engine moves the car of its drivers:
without knowing how it works.
But humans want to know how things work around them:
the light that wakes them
the dark that puts them to sleep
the strong that holds them together
and the weak that lets things fall apart…
May Mathematical and Data Women repair
what has fallen apart in the past!
Last night, I attended an event at the Royal Institution about Penrose Tiling – the wonderfully aesthetic effects of joining basic geometric shapes and studying their behaviours towards infinity.
I thought of ‘where algebra, geometry and number theory don’t meet’ and felt nicely re-assured in my understanding.
But during my Yoga class earlier in the day I had thought about time, space and measuring.
For measuring is more than comparing.