Pi Cycle Indicators Comparison IndicatorThere are now 3 Pi Cycle Indicators that I am aware of; the original, improved**, and bottom.
This indicator attempts to provide all three indicators in a dingle, easy to view script.
I coded this script to displace the moving averages above and below the price bars for easy viewing. This was accomplished by placing a scaling factor (/# or *#) at the end of the ta.sma or ta.ema functions.
A vertical arrow, purposely posing as a short vertical line, marks the crossing of the long and short MAs for each indicator. These are color coded to match their respective indicators and the long and short MAs are similarly color coded for easy differentiation.
The red colored MAs and arrows above the price line are the Improved Pi-Cycle Top Indicator.
The green colored MAs and arrows below the price line are the Original Pi-Cycle Top Indicator.
The blue colored MAs and arrows below the green lines and price line are the Pi-Cycle Bottom Indicator.
One last feature of the chart is the use of the location function to enable easy comparison of the crossings of each indicator to the indicator itself and to the price. This can be accomplished simply by moving the chart up and down.
**{I should note that while researching this I found that BitcoinMamo turns out to have beat me to the punch on the Improved Indicator Long.Short and Multiplier numbers. He should therefor get the credit for that}
Pi-cycle
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.
BBC M2 Pi Ratio Indicator v2Pi Cycle indicator expressed as a ratio such that when the indicator triggers (350DMA *2 = 111DMA) the ratio will be 1. This allows you to place an alert on the ratio line for crossing certain thresholds such as 1.1.
Pi Cycle Bitcoin High/LowThe theory that a Pi Cycle Top might exist in the Bitcoin price action isn't new, but recently I found someone who had done the math on developing a Pi Cycle Low indicator, also using the crosses of moving averages.
The Pi Cycle Top uses the 2x350 Daily MA and the 111 Daily MA
The Pi Cycle Bottom uses the 0.745x471 Daily MA and the 150 Daily EMA
Note: a Signal of "top" doesn't necessarily mean "THE top" of a Bull Run - in 2013 there were two Top Signals, but in 2017 there was just one. There has been one in 2021, but on-chain analysis and macro TA is pointing to there possibly being another one in 2021 or early 2022. Regardless, combining the two indicators (Top and Bottom) means the MAs that converge first will likely give good indication of which will cross first in the next few years.
There is as much of a chance of two "bottom" indications occurring in a single bear market, as nearly happened in the Liquidity Crisis in March 2020.
Sharktank - Pi Cycle PredictionThe Pi Cycle indicator has called tops in Bitcoin quite accurately. Assuming history repeats itself, knowledge about when it might happen again could benefit you.
The indicator is fairly simple:
- A daily moving average of 350 ("long_ma" in script)
- A daily moving average of 111 ("short_ma" in script)
The value of the long moving average is multiplied by two. This way the longer moving average appears above the shorter one.
When the shorter one (orange colored) crosses above the longer (green colored) one, it could mean the top is in.
These moving averages rise at a certain rate. Using these rates we could try to estimate a possible crossover moment. That's exactly what this indicator does! It gives the user a prediction of when a crossover might happen.
Special thanks to:
- Ninorigo, for making his indicator public. This one uses his as a starting point.
- The_Caretaker, for coming up with this idea about calling a top. Yet, his is more price-based, this one is more time-based.
Pi Cycle Bitcoin top indicatorThe Pi Cycle Top Indicator has historically been effective in picking out the timing of market cycle highs to within 3 days.
It uses the 111 day moving average (111DMA) and a newly created multiple of the 350 day moving average, the 350DMA x 2.
Note: The multiple is of the price values of the 350DMA not the number of days.
For the past three market cycles, when the 111DMA moves up and crosses the 350DMA x 2 we see that it coincides with the price of Bitcoin peaking.
It is also interesting to note that 350 / 111 is 3.153, which is very close to Pi = 3.142. In fact, it is the closest we can get to Pi when dividing 350 by another whole number.
It once again demonstrates the cyclical nature of Bitcoin price action over long time frames. Though in this instance it does so with a high degree of accuracy over the past 7 years.
Full Credit to PositiveCrypto
