PI, PHI and the PENTACLE. The second row represents the first twelve terms of what is now called the Fibonacci series. The series can be continued indefinitely based on the simple rule: each terms is found by adding the two terms immediately preceding. (except the very first two terms.) Four hundred years after Fibonacci an important relationship was formulated for this series. Lets continue by examining the first 48 terms of the Fibonacci series. By applying the rules of the game the single pair of hypothetical rabbits would have generated 4,807,526,976 pairs by the end of the fourth year! Besides being an interesting number game, the Fibonacci series exemplifies biological growth patterns such as phyllotaxis.
The spiral, as found in a Nautilus shell, is illustrated above. The Pentacle Of all symmetric geometric shapes, none represent so concisely the principles of PHI than the pentacle or five pointed star within a circle. Measure the length of the straight line between any two points of the star. 6 x 60 = 360. Age of the Earth. The oldest such minerals analyzed to date – small crystals of zircon from the Jack Hills of Western Australia – are at least 4.404 billion years old.[5][6][7] Comparing the mass and luminosity of the Sun to those of other stars, it appears that the solar system cannot be much older than those rocks. Calcium-aluminium-rich inclusions – the oldest known solid constituents within meteorites that are formed within the solar system – are 4.567 billion years old,[8][9] giving an age for the solar system and an upper limit for the age of Earth.
Development of modern geologic concepts Studies of strata, the layering of rocks and earth, gave naturalists an appreciation that Earth may have been through many changes during its existence. These layers often contained fossilized remains of unknown creatures, leading some to interpret a progression of organisms from layer to layer.[10][11] Early calculations William Thomson (Lord Kelvin) Geologists had trouble accepting such a short age for Earth. Terasecond and longer. A terasecond (symbol: Ts) is 1 trillion seconds, or roughly 31,700 years—this page lists time spans above 1 terasecond. Shorter times Teraseconds[edit] Petaseconds[edit] 1 thousand teraseconds (or 1 quadrillion seconds) is called a petasecond, and is equal to about 32 million years.
Exaseconds[edit] 1 million teraseconds (or 1 quintillion seconds) is called an exasecond, and is equal to 32 billion years, or roughly twice the age of the universe at current estimates (the universe is currently thought to be a bit less than 14 billion years old). 34 billion years: estimated lifetime of the universe, assuming the Big Rip scenario is correct.[3] Experimental evidence currently suggests that it is not.[4]1013 (10 trillion) to 2×1013 (20 trillion) years: approximate lifetime of the longest-lived stars, the low-mass red dwarfs.[5] Zettaseconds[edit] 1 billion teraseconds (or 1 sextillion seconds) is called a zettasecond and is equal to roughly 32 trillion years.
Yottaseconds and beyond[edit] 13.73 Billion Years – The Most Precise Measurement of the Age of the Universe Yet. Want to stay on top of all the space news? Follow @universetoday on Twitter NASA’s Wilkinson Microwave Anisotropy Probe (WMAP) has taken the best measurement of the age of the Universe to date. According to highly precise observations of microwave radiation observed all over the cosmos, WMAP scientists now have the best estimate yet on the age of the Universe: 13.73 billion years, plus or minus 120 million years (that’s an error margin of only 0.87%… not bad really…).
The WMAP mission was sent to the Sun-Earth second Lagrangian point (L2), located approximately 1.5 million km from the surface of the Earth on the night-side (i.e. WMAP is constantly in the shadow of the Earth) in 2001. The reason for this location is the nature of the gravitational stability in the region and the lack of electromagnetic interference from the Sun. It is a matter of exposure for the WMAP mission, the longer it observes the better refined the measurements.
Source: New York Times About Ian O'Neill Hello! A000045. Also called Lamé's sequence. F(n+2) = number of binary sequences of length n that have no consecutive 0's. F(n+2) = number of subsets of {1,2,... ,n} that contain no consecutive integers. F(n+1) = number of tilings of a 2 X n rectangle by 2 X 1 dominoes. F(n+1) = number of matchings in a path graph on n vertices: F(5)=5 because the matchings of the path graph on the vertices A, B, C, D are the empty set, {AB}, {BC}, {CD} and {AB, CD}. - Emeric Deutsch, Jun 18 2001 F(n) = number of compositions of n+1 with no part equal to 1.
Positive terms are the solutions to z = 2*x*y^4 + (x^2)*y^3 - 2*(x^3)*y^2 - y^5 - (x^4)*y + 2*y for x,y >= 0 (Ribenboim, page 193). For Fibonacci search see Knuth, Vol. 3; Horowitz and Sahni; etc. F(n) is the diagonal sum of the entries in Pascal's triangle at 45 degrees slope. - Amarnath Murthy, Dec 29 2001 F(n+1) is the number of perfect matchings in ladder graph L_n = P_2 X P_n. - Sharon Sela (sharonsela(AT)hotmail.com), May 19 2002 An INVERT transform of A019590.
An Introduction to the Big Bang Theory (Part 1) Fairytale Destinations. Is it a dream or is it for real? These places will make you wonder whether you step into the land of magic and fantasy or still firmly stand on the ground. With unearthly nature, unreal landscapes or fairy tale architecture, these destinations will take you far away from your humdrum reality.
Picturesque Colmar in France, considered the most beautiful city in Europe, looks like it came straight out of a fairy tale. This tiny town in Alsace is famous not only for its magically colourful old town. Colmar, situated along the Alsatian Wine Route, is called the "Capital of Alsatian Wine" - it boasts a sunny microclimate and is the second driest city in France, making it ideal for wine growing. As if being the wine capital was not enough, Colmar, with its pretty squares, fountains and canals, is also called the "little Venice" (la Petite Venise).
The Lord of the Rings' scenery of Faroe Islands truly makes you believe the archipelago is inhabited by hobbits and elves. Saksun, Faroe Islands. 10 Simple Postures That Boost Performance. Psychological research suggests simple actions can project power, persuade others, increase empathy, boost cognitive performance and more… We tend to think of body language as something that expresses our internal states to the outside world.
But it also works the other way around: the position of our body also influences our mind. As the following psychological research shows, how we move can drive both thoughts and feelings and this can boost performance. 1. Pose for power If you want to feel more powerful then adopt a powerful posture. 2. Tensing up your muscles can help increase your willpower. 3. If you’re stuck on a problem which needs persistence then try crossing your arms. 4.
If crossing your arms doesn’t work then try lying down. 5. While you’re lying down, why not have a nap? Brooks & Lack (2005) compared 5, 10, 20 and 30 minute naps to find the best length. 6. The way people’s hands cut through the air while they talk is fascinating. 7. 8. 9. 10. Embodied cognition. Jonas Ridgeway: The Astral Projection Guidebook. INTUITION MESSAGE. How to Use Your Subconscious to Change Your Life. “Never go to sleep without a request to your subconscious.” – Thomas Edison Your subconscious loves to do work while your body performs other tasks that are easy. I can prove this very easily by asking you how many good ideas you have had while driving or in the shower. When you are relaxed yet slightly distracted, your mind is often at its best.
Using subconscious requests will… Improve your motivation.Help you become happier.Increase your emotional intelligence. You’ll see improvement in less than a month. My last request was… “Please give me more patience when commuting to work and allow me to even enjoy my time in the car.” Within a month I was enjoying my ride to work. My latest request is… “Let’s find creative ways to grow my blog.” I took this approach because it’s going to take a request to my subconscious and action in my waking life to make this happen.
Mindset My mindset is changing by setting my subconscious on a certain issue. The 3 step request only takes five minutes: Maslow Self Actualization - unlearn. "Self Actualization is the intrinsic growth of what is already in the organism, or more accurately, of what the organism is. " Abraham Maslow Maslow studied healthy people, most psychologists study sick people. The characteristics listed here are the results of 20 years of study of people who had the "full use and exploitation of talents, capacities, potentialities, etc.. " Self-actualization implies the attainment of the basic needs of physiological, safety/security, love/belongingness, and self-esteem.
Maslow's Basic Principles: The normal personality is characterized by unity, integration, consistency, and coherence. Realistic Realistically oriented, SA persons have a more efficient perception of reality, they have comfortable relations with it. Acceptance Accept themselves, others and the natural world the way they are. Spontaneity, Simplicity, Naturalness Spontaneous in their inner life, thoughts and impulses, they are unhampered by convention.
Problem Centering Peak experiences Creativity. Top 10 Common Faults In Human Thought. Humans The human mind is a wonderful thing. Cognition, the act or process of thinking, enables us to process vast amounts of information quickly. For example, every time your eyes are open, you brain is constantly being bombarded with stimuli. You may be consciously thinking about one specific thing, but you brain is processing thousands of subconscious ideas. Unfortunately, our cognition is not perfect, and there are certain judgment errors that we are prone to making, known in the field of psychology as cognitive biases. They happen to everybody regardless of age, gender, education, intelligence, or other factors. The Gambler’s fallacy is the tendency to think that future probabilities are altered by past events, when in reality, they are not.
Reactivity is the tendency of people to act or appear differently when they know that they are being observed. Pareidolia is when random images or sounds are perceived as significant. Self-fulfilling Prophecy Escalation of Commitment.