Bitcoin Golden Pi CyclesTops are signaled by the fast top MA crossing above the slow top MA, and bottoms are signaled by the slow bottom MA crossing above the fast bottom MA. Alerts can be set on top and bottom prints. Does not repaint.
Similar to the work of Philip Swift regarding the Bitcoin Pi Cycle Top, I’ve recently come across a similar mathematically curious ratio that corresponds to Bitcoin cycle bottoms. This ratio was extracted from skirmantas’ Bitcoin Super Cycle indicator . Cycle bottoms are signaled when the 700D SMA crosses above the 137D SMA (because this indicator is closed source, these moving averages were reverse-engineered). Such crossings have historically coincided with the January 2015 and December 2018 bottoms. Also, although yet to be confirmed as a bottom, a cross occurred June 19, 2022 (two days prior to this article)
The original pi cycle uses the doubled 350D SMA and the 111D SMA . As pointed out this gives the original pi cycle top ratio:
350/111 = 3.1532 ≈ π
Also, as noted by Swift, 111 is the best integer for dividing 350 to approximate π. What is mathematically interesting about skirmanta’s ratio?
700/138 = 5.1095
After playing around with this for a while I realized that 5.11 is very close to the product of the two most numerologically significant geometrical constants, π and the golden ratio, ϕ:
πϕ = 5.0832
However, 138 turns out to be the best integer denominator to approximate πϕ:
700/138 = 5.0725 ≈ πϕ
This is what I’ve dubbed the Bitcoin Golden Pi Bottom Ratio.
In the spirit of numerology I must mention that 137 does have some things going for it: it’s a prime number and is very famously almost exactly the reciprocal of the fine structure constant (α is within 0.03% of 1/137).
Now why 350 and 700 and not say 360 and 720? After all, 360 is obviously much more numerologically significant than 350, which is proven by the fact that 360 has its own wikipedia page, and 350 does not! Using 360/115 and 720/142, which are also approximations of π and πϕ respectively, this also calls cycle tops and bottoms.
There are infinitely many such ratios that could work to approximate π and πϕ (although there are a finite number whose daily moving averages are defined). Further analysis is needed to find the range(s) of numerators (the numerator determines the denominator when maintaining the ratio) that correctly produce bottom and top signals.
Golden-ratio
Divina - Support and ResistanceGiven the positive feedback received on the first Dynamic Support/Resistance script, I've decided to rewrite it on Pine Script v5 and publish it with open source code.
The main Divina area (box) is derived from change in price and volume, while the other support and resistance levels are based on the golden ratio (Divina proportione) or Fibonacci numbers.
The box will start to paint if the previous closed bar satisfy a condition and it will be never be repainted in the future. Anyway the box and the levels will be extended until a new signal is detected.
The Divina Support and Resistance will help you to find good price zones on wich the market might take trading decision. It is not a strategy by per se, it should be used with other good trading techniques.
Alt Golden Ratio by USCG_VetPine Script math based on the medium article by Philip Swift.
Idea based from Willy Woo Charts.
Disclaimer: None of this Pine Script, Title, nor Description should be used for Financial Advice. For Education Purposes Only.
Purpose: Identify a Golden Ratio Cross of the 350 Daily MA vs the 111 Daily MA with Multiplier to theorize where local valuation tops or bottoms could be approximated. NOT FINANCIAL ADVICE!
Parameters:
DMA A: short Daily Moving Average
DMA B: long Daily Moving Average
Golden Ratio: point where short Daily Moving Average crosses value assigned in parameter.
Indicators:
S2: Cross of DMA A vs DMA B in upward direction (approximate local top)
Sn: additional approximate top indicators
Sell1: first approximate local bottom
Selln: additional approximate local bottom indicators
GR: Golden-Ratio Cross of DMA A
Bitcoin Golden RatioGives the top and bottom of the cryptocurrencies cycles.
When DMA111 crosses DMA350*2, the top is in.
Show accumulation phases and resistances with very precise accuracy.
Bitcoin Golden Ratio Fibonacci IndicatorI didn't see this one already it isn't my original idea either. I pulled the formula's from an article on medium, I also added few bear market bottom fib indicators.
Credit to the article I pulled the formula from.
The Golden Ratio Multiplier
Unlocking the mathematically organic nature of Bitcoin adoption
Go to the profile of Philip Swift (@PositiveCrypto)
Philip Swift (@PositiveCrypto)
Jun 17, 2019
By Philip Swift
Release Notes: Fixed spelling error on title, added a couple long and short labels for the top and bottom indicator.
Golden Ratio Fibonacci Multipliers IndicatorBased on "The Golden Ratio Multiplier" article by Philip Swift (@PositiveCrypto) on Medium.
Golden Ratio Fibinnaci IndicatorI didn't see this one already it isn't my original idea either. I pulled the formula's from an article on medium, I also added few bear market bottom fib indicators.
Credit to the article I pulled the formula from.
The Golden Ratio Multiplier
Unlocking the mathematically organic nature of Bitcoin adoption
Go to the profile of Philip Swift (@PositiveCrypto)
Philip Swift (@PositiveCrypto)
Jun 17, 2019
By Philip Swift
Automatic Golden Ratio Support & ResistanceThe golden ratio is also called the golden mean or golden section.
It has been used to analyze the proportions of natural objects as well as man-made systems such as financial markets.
The mathematics of the golden ratio and of the Fibonacci sequence is intimately interconnected. The Fibonacci sequence is: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, ....
This Golden Ratio indicator automatically plots 5 support levels and 5 resistance levels based on the golden ratio for current timeframe. It shows a possible price range for current session, you can easily identify the major and minor support/resistance levels from the chart.
The levels of support and resistance are formed at the beginning of a new session
This indicator works on all default time frames.
It will never repaint.
There is no parameter. All you need to do is to load it to your chart.
Click the image links to view it in original size.
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