Source: Islamic tiles reveal sophisticated maths : Nature News
Tag Archives: Patterns
Paradox
What are the connections between variables and constraints and limitations within a system? Every wave is different yet similar in form. I cannot tell it to move in a different way that is outside of its universal design. Its form is a design of it’s functions. The water flows over, under, and through the rocks …
Max Cole
Max Cole “my work exists through a process of being lived, it being comprised of innumerable individual handmade marks which require total emersion and concentration, time, existence and the work becoming fused. There is no other way to produce the work except for a depth of engagement requiring the abandonment of self and this process …
Roman Opalka
Roman Opalka (1931-2011) “Time as we live it and as we create it embodies our progressive disappearance; we are at the same time alive and in the face of death–that is the mystery of all living beings. The consciousness of this inevitable disappearance broadens our experiences without diminishing our joy. There is always the omnipresent …
Numbers
0.00000000000000000000000000000000000000000000000000………….. = 0/9 = 0 0.111111111111111111111111111111111111111111111111111111111111111…………… = 1/9 0.2222222222222222222222222222222222222222222222222222222…………… = 2/9 0.333333333333333333333333333333333333333333333333333…………… = 3/9 = 1/3 0.444444444444444444444444444444444444444444444444444……………… = 4/9 0.555555555555555555555555555555555555555555555555555555……………… = 5/9 0.666666666666666666666666666666666666666666666666666………….. = 6/9 = 2/3 0.777777777777777777777777777777777777777777777777777777…………….. = 7/9 0.888888888888888888888888888888888888888888888888888…………….. = 8/9 0.9999999999999999999999999999999999999999999999………… = 9/9 = 3/3 = 1!
Ernst Haeckel
Ernst Haeckel (1834-1919) “Nothing is constant but change! All existence is a perpetual flux of ‘being and becoming!’ That is the broad lesson of the evolution of the world.” Ernst Haeckel Ernst Haeckel, 1866
Adrian Bejan
Design in Nature
The Constructal Law
1. Life is flow: all flow systems are live systems, the animate and the inanimate.
2. Design generation and evolution is a phenomenon of physics.
3. Design have the universal tendency to evolve in a certain direction in time.
“The Constructal Law teaches us that nothing operates in isolation; every flow system is part of a bigger flow system, shaped by and in service to the world around it.”
“For a finite-size system to persist in time (to live) in must evolve in such a way that it provides easier access to the imposed currents that flow through it.”
“Constructal Law is another step in our ongoing effort to understand the world around us. It reveals that design in nature is not the result of chance but a universal law.”
“Nature is governed by the tendency to generate shapes and design that evolve in time to reduce imperfection. Design evolution never ends.”
“The rise of humanity is not a radical break from the past bit a chapter in the larger story of the Earth’s long history of flow, design, and evolution. We are part of nature; its oneness includes everything even us. Our special gift is not the ability to act apart from nature but the ability to generate complex and evolving natural designs that allow us to move more mass faster, farther, with longer lifetimes…”
“The road to easier flowing consists of balancing each imperfection against the rest. All the components, working together to create a whole that is less and less imperfect in time.”
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Christopher Alexander
Christopher Alexander The Nature of Order An Essay on the Art of Building and the Nature of the Universe, Book 1 – The Phenomenon of Life “…every form of order has some degree of life” “thus life is not a limited mechanical concept which applies to self-reproducing biological machines. It is a quality which inheres …
Patterns in Islam
Islamic Tile Patterns Decorative Pages of The Quran Islamic Calligraphy Qaisar Iqbal, 2008 — Arches and Domes
Escher
Order is repetition of units. Chaos is multiplicity without rhythm. M. C. Escher
Selected works by M. C. Escher
Although I am absolutely without training or knowledge in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists. Escher
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Water
Water “Water is sometimes sharp and sometimes strong, sometimes acid and sometimes bitter, sometimes sweet and sometimes thick or thin, sometimes it is seen bringing hurt or pestilence, sometime health-giving, sometimes poisonous. It suffers change into as many natures as are the different places through which it passes. And as the mirror changes with the …