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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.
BITSTAMP:BTCUSD
by CryptoNinjaAnalyst
2
Fibonacci ProjectionAnother proof, but now, of the fibonacci projection, based on the previous down trend channel. The top and the bottom on the channel are confirmed by the RSI, which then breaks into a up-trend, hitting precisely the first fibonacci target (38%) in a short time. By this indicator, if the trend continues, we can expect at least to reach the second target (50%) at 1966. The third target (68%) might be too far away, but is located around 2026, a place of strong resistance. The VWAP indicates a positive trend.
FX:XAUUSD
by vitorherold
POMO3 LTA, Fibonacci, MA200, MA 50 e pequena div.RSI intradayAtivo próximo a 0.2 de Fibo, caso haja mais volume de compra do que de venda, podemos buscar 0.5 ou 0.6 de fibo. R:R 3:1 RSI: Bull divergence em 120m. Média Aritmética de 200 períodos (Azul) e Média Aritmética de 50 períodos (Amarela) em 720m estão neutras. IBOV X POMO3 Gráfico Diário. Mês de junho não teve um fechamento muito agradável para os compradores. Esse conteúdo é apenas informativo, não é uma sugestão de investimento
BMFBOVESPA:POMO3
by Basilio17
USDCHF "Continuation to the downside" Trading ideaGood morning traders. That are my actual thoughts on USDCHF. Overall market situation is a Bearish bias with clean lows and highs formed. 4H: Market made its Retracement into our "golden Ratio" Fib zone. Lower - TF Bullish structure shifted to bearish structure after break of the 4H counter-TL The 8 EMA also give us confluence. I will look for a last little push into the Price of 0.94900-0.95000 for a short opportunity. Good Trades ~Tradingpurpose~
Short
by Forexbasis