PHEW IS OFFICIALLY VERIFIED

But for those who stick on valid facts and data, everyday is always special. 👌

Pi has been verified, yet again.

But for those who stick on valid facts and data, everyday is always special. 👌

Wait is it too late to join peyew?

But for those who stick on valid facts and data, everyday is always special. 👌

Two questions:

1. Why are you doing this?

2. Do you have access to a measuring tape?

Quote from: Danang on March 14, 2025, 02:23:28 AM

But for those who stick on valid facts and data, everyday is always special. 👌

Two questions:

1. Why are you doing this?

2. Do you have access to a measuring tape?

1. Naturally
2. It's not a secret. Everybody can do it.

1. Naturally
2. It's not a secret. Everybody can do it.

I assume you mixed up the order.

Have you tried measuring a large sphere and calculating pi from your results?

No need big circular object to prove Phew. Survey says: it's HARD to meet Pi in experiments. Although I must say:  Using a big circular object is a good idea.
I let you to do such experiment.

Why they never use big circular object in experiments?

Because they will find Phew and make RIP for Pi. 🤣

Using a wire is not a good idea, Mike. Try again.
The sphere volume, by cube measurement, equals approximately 50% of cube or 4 of 8.

4.188 is quite excessive.

I've already addressed the use of wire so stop lying about it already.

No need big circular object to prove Phew. Survey says: it's HARD to meet Pi in experiments. Although I must say:  Using a big circular object is a good idea.
I let you to do such experiment.

Why they never use big circular object in experiments?

Because they will find Phew and make RIP for Pi. 🤣

How about we just use a real-world application.  I'm currently restoring this stopwatch.  The equations for the wheels (gears) in this stopwatch and watches are based on pi.  They are very accurate. 

Please answer this question...if pi is wrong how can mechanical watches be so accurate?  I want a actual technical rationale...not some hand waving nonsense. 

No need big circular object to prove Phew. Survey says: it's HARD to meet Pi in experiments. Although I must say:  Using a big circular object is a good idea.
I let you to do such experiment.

Why they never use big circular object in experiments?

They do use big circular objects, and get pi. Or at least close enough to pi to rule out your crap.

How about we just use a real-world application.  I'm currently restoring this stopwatch.  The equations for the wheels (gears) in this stopwatch and watches are based on pi.  They are very accurate. 

Please answer this question...if pi is wrong how can mechanical watches be so accurate?  I want a actual technical rationale...not some hand waving nonsense.

Aren't they based on the number of teeth?

Quote from: MicroBeta on March 26, 2025, 11:47:20 AM

How about we just use a real-world application.  I'm currently restoring this stopwatch.  The equations for the wheels (gears) in this stopwatch and watches are based on pi.  They are very accurate. 

Please answer this question...if pi is wrong how can mechanical watches be so accurate?  I want a actual technical rationale...not some hand waving nonsense.

Aren't they based on the number of teeth?

For the gear ratio, yes.  However, the rates are based on angular velocities and thus use pi.  For example, the minute wheel's rate calculation is 2pi/3600.  All the required rates go back to the escapement. 

The equations for amplitude and lift angle of the escapement uses pi.  Amplitude/lift angle are the most important aspects of watch regulation.  AAMOF, my timegrapher measures the lift angle and amplitude to allow me to accurately regulate the watch.. 

If those calculations for the escapement aren't very accurate the watch will also not be accurate.

 

Aren't they based on the number of teeth?

Additional info...

Notice all the amplitude angles are in radians.

Pi is a superstition. No authentic calculation yet, only try and error under the flag of "approximation".

WHY AFRAID OF PYTHAGORAS ?? 

Wha da buck arr daey toking bout??

https://en.m.wikipedia.org/wiki/Pi#:~:text=The%20first%20recorded%20algorithm%20for,implementing%20the%20method%20of%20exhaustion.

Pi is a superstition. No authentic calculation yet, only try and error under the flag of "approximation".

WHY AFRAID OF PYTHAGORAS ?? 

That's a flat out lie.  Until you refute my video with actual testable data...you're outta gas.

Are you going to answer my question of continue to run away?

Wha da buck arr daey toking bout??

https://en.m.wikipedia.org/wiki/Pi#:~:text=The%20first%20recorded%20algorithm%20for,implementing%20the%20method%20of%20exhaustion.

You mean like this?

No need big circular object to prove Phew. Survey says: it's HARD to meet Pi in experiments. Although I must say:  Using a big circular object is a good idea.
I let you to do such experiment.

Why they never use big circular object in experiments?

Because they will find Phew and make RIP for Pi. 🤣

From this answer I deduce that you have not made such a measurement and are refusing to do so.

Why do you not want to make this obviously relevant measurement?

Pi is a superstition. No authentic calculation yet, only try and error under the flag of "approximation".

There have been plenty of authentic calculations.
Including ones shown to you right here.
Ones you are yet to show any fault with.
Instead you dismiss them as calculations and appeal to your BS numbers you can't justify.

How about you try showing calculations, with justifications, to get your BS?

Quote from: JackBlack on March 26, 2025, 12:17:13 PM

Quote from: MicroBeta on March 26, 2025, 11:47:20 AM

How about we just use a real-world application.  I'm currently restoring this stopwatch.  The equations for the wheels (gears) in this stopwatch and watches are based on pi.  They are very accurate. 

Please answer this question...if pi is wrong how can mechanical watches be so accurate?  I want a actual technical rationale...not some hand waving nonsense.

Aren't they based on the number of teeth?

For the gear ratio, yes.  However, the rates are based on angular velocities and thus use pi.  For example, the hour wheel's rate calculation is 2pi/3600.  All the required rates go back to the escapement. 

The equations for amplitude and lift angle of the escapement uses pi.  Amplitude/lift angle are the most important aspects of watch regulation.  AAMOF, my timegrapher measures the lift angle and amplitude to allow me to accurately regulate the watch.. 

If those calculations for the escapement aren't very accurate the watch will also not be accurate.

Thank you for the info, and the extra info.
While I do like the complex mechanism, I have never played around with it myself but I am curious.

To play devils advocate, how much are you able to alter the timing?
And is that a process that needs to be carried out on all watches when they are made, or just after some time?
Because if it is all, then you just need to calculate to get close enough, then you can adjust for the rest.

Quote from: MicroBeta on March 26, 2025, 01:31:45 PM

Quote from: JackBlack on March 26, 2025, 12:17:13 PM

Quote from: MicroBeta on March 26, 2025, 11:47:20 AM

How about we just use a real-world application.  I'm currently restoring this stopwatch.  The equations for the wheels (gears) in this stopwatch and watches are based on pi.  They are very accurate. 

Please answer this question...if pi is wrong how can mechanical watches be so accurate?  I want a actual technical rationale...not some hand waving nonsense.

Aren't they based on the number of teeth?

For the gear ratio, yes.  However, the rates are based on angular velocities and thus use pi.  For example, the hour wheel's rate calculation is 2pi/3600.  All the required rates go back to the escapement. 

The equations for amplitude and lift angle of the escapement uses pi.  Amplitude/lift angle are the most important aspects of watch regulation.  AAMOF, my timegrapher measures the lift angle and amplitude to allow me to accurately regulate the watch.. 

If those calculations for the escapement aren't very accurate the watch will also not be accurate.

Thank you for the info, and the extra info.
While I do like the complex mechanism, I have never played around with it myself but I am curious.

To play devils advocate, how much are you able to alter the timing?
And is that a process that needs to be carried out on all watches when they are made, or just after some time?
Because if it is all, then you just need to calculate to get close enough, then you can adjust for the rest.

It depends on the movement but, generally, can adjust both the lift angle and amplitude of the balance wheel.  I can usually adjust them to within plus or minus several seconds.

These parameters are calculated by the manufacturer based on the specific train of wheels.  When I make adjustments based on the ±rate in seconds and beat error.  I try to get both as close to zero as possible...especially the beat error.  There are a couple of good videos on YT on watch regulation.

My main point is the most critical timing components in a movement rely on pi for their design calculations.  Not to mention, all these angles are in radians so...there's that.     

Whatever you guys say doesn't make your Pi auto right.   

This 👇is a verified experiment 👌

Quote from: Danang on March 26, 2025, 02:46:21 PM

Wha da buck arr daey toking bout??

https://en.m.wikipedia.org/wiki/Pi#:~:text=The%20first%20recorded%20algorithm%20for,implementing%20the%20method%20of%20exhaustion.

You mean like this?

Yep, that's the algorithm.  Wikipedia says the estimate was calculated with a shape of only 96-sides:
223/71⁠ < π < ⁠22/7⁠

Update: I found out it was later calculated using a 12,288 sided polygon (or equivalent), quite impressive for the time.
3.1415926 < π < 3.1415927

Whatever you guys say doesn't make your Pi auto right.   

Answer my question.

Remember: one video speaks louder than a thousand words. 👌

Let's go to 45° arc.
The formula: arc length = sin45 + (1-cos45)² = 0.79289

Phew = 3.17157

Clue: drag up the curve as well as the corner base line as far as 0.29289 up to obtain an area.

From 0 to sin45 you will get 0.7071068 Χ 1 unit of area

plus

From sin45 to sin90 you will get 0.29289 Χ 0.29289 = 0.08578 unit of area.

Total = 0.79289 unit of area

Area (2D) is the Helper for length (1D) calculation.

Translate it into 1D, the result is 0.79289 unit of length.

Illustration:
If you wanna calculate the area of 2 Χ 4 (length Χ width)
Make sure the drag is full for entire points in a line, either length line and width line. You got full 8 unit of area.

If it's curve, the same. For 0 to sin45: By moving the area outside the rectangle 0.7071068 Χ 1 to the base empty area, you'll get the same value, i.e. 0.7071068

If you skip Pythagoras, you'll make up a number, i.e. Pi = 3.14159.

Try Pythagoras, and you'll get Phew = 3.17157

Phew Day starts next year okay?