DIGITAL #ICHING hexagrams in new visual order thanks to octal numbers

Matrix with Octal Hexagrams 00 77

Row 0 contains hexagrams 00, 0107.

Row 1 contains hexagrams with octal values 10, 1117.

Row 7 contains hexagrams 70, 7177.

And so it goes:

a new visual order thanks to a new numerical order!

Matrix with Grid and NumbersAbove all, marvel at the beauty of the visual and numerical symmetries!

These are the first images I produced with GIMP.

I can’t use more than 3 colours if I also want to use the design on t-shirts and other accessories.

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:

Posted in General, Number Systems, I Ching, Phenomena, Concepts, Symmetries, Polarities | Tagged , , , , , , , , , | Leave a comment

DIGITAL #ICHING: Octal Numbers as new ordering principle & 8 as Chinese lucky number

I wish I could remember what made me

Funky Facts about 8

think of what now is so obvious: the use of octal numbers to re-order the hexagrams 1 to 64 (base 10) from 00 to 77 (base 8), leading to remarkable visual effects.

So I used

  • trigrams from 0 to 7
  • and hexagrams from 1 to 64
  • to renumber them from 00 to 77

and produce a lot of

Hence I was amused to discover that for the Chinese, the New Year is the Year of the Sheep, starting 19 February, with the number 8, considered to be the luckiest number, being ubiquitous, as said on this site.

I Ching hexagrams 00 to 77 with: left the firs...

I Ching hexagrams 00 to 77 with: left the first octal digit for the lower trigram under the second octal digit (upper trigram) (Photo credit: Wikipedia)

 

Posted in General, Mathematics, Number Systems | Tagged , | 1 Comment

TOWARDS a Gender-Balanced Agenda: with #WomenShiftDigital, #techmums, #savvify + Smart Knowledge Portals?

13 11 27 PythagorasWhat a day: Women Shift Digital!

What a venue and sponsor: Level 39 in One Canada Square.

And what a fantastic quantity of quality women – starting with

Posted in Mathematics, Science, Women | Tagged , , , , , , , , , , , , , , | 2 Comments

I THINK – aided by software – therefore I AM: Mathematical Woman, here I come!

Scottsdale Coral Reef project

Scottsdale Coral Reef project (Photo credit: crochetgal)

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!

Posted in Image Analysis, Mathematics, Metrology, Philosophy, Science | Tagged , , , , , , , | 5 Comments

EINSTEIN on Mathematics, Physics and Reality – leading to my 3D Metrics

Albert Einstein

Albert Einstein (Photo credit: Stoper)

According to this quotations page, Einstein wrote in Geometry and Experience in 1921:

As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.

It’s been a while that I discovered how metrology is the missing link that Einstein was looking for. But not with its uncertainties and probabilities due to the current mathematics implemented to quantify physical, chemical and other measuring units, as I am introducing pixel accuracy.

  • Current mathematics is based on ‘paper thinking’, i.e. static writing.
  • My qualitative metrology stems from ‘software aided thinking’, i.e. dynamic coding.

3D metrology is based on new mathematical spaces and transformations that have to be expressed through code. Continue reading

Posted in Science | 2 Comments

TIME, Space and Measuring – on the quantifications of 2D and 3D worlds

Oil painting by Urs Schmid (1995) of a Penrose...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.

Continue reading

Posted in Algebra, Arithmetic(s), Geometry, Mathematics, Measuring, Metrics, Metrology, Number Theory, Philosophy | Tagged , , , , , , , | 4 Comments

FROM Conceptual Heaven to Analytical Hell and back: on the Specifications for Identifying and Counting Cancer Cells

English: Map of the CERN accelerator complex

English: Map of the CERN accelerator complex (Photo credit: Wikipedia)

It is a strange phenomenon, this process called thinking. Especially when it’s aided by software:
for it requires the rigour of Zen, combined with the freedom of right brain associations.

I know very well when I’m in conceptual heaven. I know it makes me happy to abstract, generalise and think up the right names for the right ideas.

And I know that I need to dive into analytical hell. For the devil is in the detail.
But splitting hairs, separating powers and issues has happened too much in the Western world.
Everything has been taken apart. Not enough has been put together again.
What I’d like to put together is the smartness of human perception
with the cleverness of computer processing or number crunching.

For when celebrating 50 years of computing @ CERN, I was introduced to Citizens CyberScience and www.zooniverse.org.
One of the projects is www.cellslider.net – the invitation for volunteers to classify images:
identify cancer cells and estimate their number.

Hey presto: an invitation to do better, the opportunity for automation!
And thus I was catapulted into conceptual heaven:
writing the spec for a coder to tell the machine what I’d like it to do for us.

For we, the people, can’t possibly do it: scan systematically and precisely,
pixel by pixel, compare and check, decide and proceed:
counting the good ones and the bad ones – just as Cinderella.

And now I wonder: will Prince Charming show up in the shape of Cancer Research UK?

Posted in Image Analysis, Object Identification, Poetry, Science | Tagged , , , , , , , | 1 Comment