The Magic of Fibonacci Numbers - Golden RatioAn Easy To Understand sequence represented as 0 1 1 2 3 5 8 13…. where each number is the sum of the preceding two numbers, with the series starting from 0, 1.
But, did you ever realize how magical these numbers are?
Fibonacci numbers appear in so many contexts in our lives and surroundings, for example, the number of the petals in a flower, the seed heads of a flower, paintings, and a lot more. In fact, the beauty of a human face is based on Golden Ratio whose nth power forms the nth Fibonacci number. (the nth Fibonacci number is 1.618n where 1.618 is the Golden ratio).
These numbers display a lot of magical patterns.
Given the Fibonacci numbers: 1 1 2 3 5 8 13 21 34 55 89…
Let’s square these numbers: 1 1 4 9 25 64 169…….
The addition of two Fibonacci numbers gives us the next Fibonacci number. But, What’s so special about their squares?
Look closely to see that the addition of the 2 consecutive numbers from this squared series of Fibonacci numbers would give you alternate Fibonacci numbers. Let’s realize this:
The squared Fibonacci series is 1 1 4 9 25 64…
Now, 1+1 = 2
1+4 = 5
4+9 = 13 And, so on..
1 1 2 3 5 8 13 21……
Let us now add more than 2 numbers of this squared series increasingly.
1+1+4 = 6
1+1+4+9 = 15
1+1+4+9+25 = 40
1+1+4+9+25+64 = 104
These do not seem to be Fibonacci numbers. But, if you analyse closely, you can see that these numbers enclose hidden Fibonacci numbers.
1+1+4=2* 3
1+1+4+9=3*5
1+1+4+9+25=5*8
1+1+4+9+25+64=8*13
But, why is it that? 12+12+22+32+52+82 = 8*13
Area of this rectangle = sum of the areas of squares inside it = 12+12+22+32+52+82
Also, Area of rectangle = length*breadth = 8*(8+5) = 104 which proves that
12+12+22+32+52+82 = 8 *13
If we continue this process of merging these squares to form rectangles, we can get rectangles with dimensions:
8*13
13*21
21*34
34*55
55*89….
If we divide the dimensions of these rectangles keeping the larger dimension in the numerator, we end up with these figures:
8*13 => 13/8= 1.625
13*21 => 21/13 =1.615
21*34 => 34/21 = 1.619
34*55 => 55/34 = 1.6176
55*89 =>89/55 = 1.61818
As we continue dividing the dimensions of larger rectangles, we would get close to 1.618033… which is defined as the Golden Ratio.
This Golden Ratio particularly is of great interest to mathematicians since it holds great significance in our surroundings and environment.
Goldenratio
NAS100 Tech Index Bullish OutlookThe NAS100, an index consisting of the 100 largest tech companies on the NASDAQ exchange, bounced off the 0.618 fibonacci retracement line, also known as the Golden Ratio.
It seems that the recent tech slump has ended, in the short term. Although it's true that a corona vaccine is bullish for other stocks, it doesn't mean we will stop using tech companies anytime soon.
Consider resistance 1 and resistance 2 as good short term areas to exit your long position. If we make new high's in the coming week, my guess would be that a new bullish trend will start till the end of the year.
Ark Innovation ETF Retracement PlayIf ARKK top was around $105/share. Using fibonacci retracement I would expect long opportunities to open up starting possibly around 0.5 fib (approx $70.00/share) and more likely around the golden ratio around 0.618/0.65 fib (approx $60/share). The golden ratio also corresponds closely with the 200 day ema on the 2D chart which should act as a strong resistance.
Please share your opinion and/or challenge mine.
The content shared is for educational and informational purposes only and are not providing specific financial advice or recommendations for any individual or on any specific security or investment product. Not Financial Advice.
Energy finally finds support /FibonacciAfter a long period of consolidation, energy broke-down of the parallel channel. Using Fibonacci retracement tools, we retraced from the 61.8% level, also known as the Golden Ratio.
It is currently trying to break its 10sma resistance (on average intraday volume - which is not great)
I would want to see a close above the 50% retracement level to feel more confident, as rotations have not lasted more than 1-2 weeks.
Keeping on a watchlist.
Bitcoin weekly golden ratio at 6.3 kHere we can see the Bitcoin golden ratio sitting around 6.3 k on the weekly time frame which also lines up with the 200 moving average. It's important to also note that we do have a looming death cross currently in play and if this death cross plays out over the medium to longer term we could certainly in my opinion see Bitcoin test the 200 moving average to put in a third bottom before the next macro environment.
AUD/CAD Golden ZoneGood day, snipers. Here in the AUD/CAD, we have multiple confirmations to go long. TECHNICAL ANALYSIS first on the weekly time frame, price rejected our golden Fib Zone 61.8 and I am expecting for price to go up. Also, price rejected the 8 EMA which was respected in the last few motnhs. FUNDAMENTAL ANALYSIS next is about the CoT report. Currently, net positions regarding the CAD are being sold while the AUD is being bought the previous week. Specifics are discussed with the team and accurate entry, SL and TP are sent too.
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ETH fractaling inside huge MEGAPHONE. Indicators signaling DOWN.1. bearish RSI div
2. bearish MACD div
3. longer trendline resistance (broken with possible fake out. other trendline is not yet broken, and is forming a megaphone pattern)
4. megaphone pattern (usually a bearish pattern but could brake out either way. Expect very volatile price action very soon)
5. megaphone fractal within a huge megaphone (it should be interesting to follow the price. If smaller one resolve bearish, it could drag a bigger one very fast very low, and vice versa)
6. fib retracement of .618 & .786 which is usually a location for a trend continuation
7. long term downtrend - series of lower highs and lower lows. (even if ETH broke out of the trendline and created a small w pattern, which is known as a double bottom, on a bigger scale, it hasn't formed yet on a higher time frames)
So if I have to bet, I would bet down, as long as the long term bear trend resolve itself, but for now, location is very good for bears. I expect them to show up very soon, but if they don't show up, bulls won't hesitate a second to take over.
EURSGD looking for a melt 🦐The market, after hitting few times the discending weekly trendline in red, created a double top formation.
After breaking the ascending channel price could restest the yellow structure and then move first to the 0.382 fib level and then to the 0.618 fib level.
According to Plancton's strategy, we can set a nice order
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Follow the Shrimp 🦐
Here is the Plancton0618 technical analysis, please comment below if you have any question.
The ENTRY in the market will be taken only if the condition of Plancton0618 strategy will trigger.
EURSGD rejected by historical trend line 🦐The market after the recent rally got rejected by the historical trend line in red.
Now the price broke and retested the support line and currently trying to break the structure at the 0.382 fib level.
IF the market will mange to break the structure we can set a nice short order according to our rules with a possible target around 1.551 or 0.618 golden ratio.
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Here is the Plancton0618 technical analysis , please comment below if you have any question.
The ENTRY in the market will be taken only if the condition of Plancton0618 strategy will trigger.
USD/JPY POTENTIALL MASSIVE MOVEWeekly---> downtrending, below 8 EMA, Moving averages down crossed
Daily ---> downtrend, Fibonacci 61.8 respected, trending below 8 EMA, Moving averages down crossed, break of structure waiting for retest, multiple wick rejects on the high lighted zone, targeting -0.27 extention
4Hour & 1Hour ---> Monitoring price action closely to find entries
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