Real, Irrational and Never Ending

Pi Party Booth from MidAmeriCon II

If today is really Pi Day, it would never end.

I own a coffee mug that I only use to drink hot tea (or water) out of at work. Most of the time it’s a light-absorbing black nondescript mug hiding in my overhead cabinet above my desk. Yet each workday, shortly after I arrive, I grab some tea and pour in some hot water and my morning transforms as the heat transfers to the mug and a bright red cup appears with the following image greeting me:

Why is Pi so lucky in love?
— Because its love is infinite and non-repeating.

In an effort to celebrate international “Pi Day” today, I thought about scheduling this post for 15:09:26 (central time zone) this afternoon – 3.14.15.09.26. But I’m too impatient for that so you will get this post much earlier in the day on Saturday the 14th of March, 2020. I got this idea from a WikiHow post on how to celebrate Pi Day and here’s the relevant excerpt:


Celebrate at 1:59 PM on Pi Day. This time represents the next three digits of pi: 3.14159. Take a minute to acknowledge pi in whatever way you see fit at that moment During this minute, you can cheer wildly, or even have a countdown leading up to “pi minute” the minute before.

  • For added effect for a countdown, have a “pi drop” where you drop a big pie off a balcony or another elevated structure. You can even add a lot of sprinkles to the pie to make it look like a disco ball.
  • If you’ve written a pi song or made a pi dance, this would be the perfect minute to share your art.
  • Note that there is some debate regarding the exact time that Pi Day should be celebrated. Though 1:59PM is probably the most common, some believe that the 24-hour clock should be used instead, which would mean that Pi Day should be celebrated at 1:59AM or 15:09PM.

Sadly for my family, I won’t be making any pies today. I might make some sourdough bread (in rounds of course) and possibly a diabetic-friendly round cheesecake for my visiting uncle. Which reminds me, I need to feed my soudough starter.

In parting, I will share on of my update statuses I occasionally post on my work Skype, where I share snarky, nerdy computer, math or tech one-liners. One of my absolute favorites is:

My password is the last sixteen digits of π.


Oh! I almost forgot. Not uncoincidentally, one of my real world book clubs is reading Life of Pi this month! Shocking how these things just randomly and irrationally align (or collide) when a math nerd is instrumental in determining what to read when.

Happy

π

Day!

5*11

Five 11s

Eleven 5s

A half century and a half decade.

Two score plus a half score plus a quarter score years.

I can’t and never could drive fifty-five.

20190927_062558

I was almost five when Apollo 11 landed on the moon.

Disappointed a woman hasn’t walked there yet.

I am starting to experience the opposite of time dilation.

Thanks to everyone who wished me well on my natal day.

Foci and Mirrors

This week’s discussion topic will attempt to answer the question:

Suppose your Newtonian reflector has a mirror with a diameter of 20 cm and a focal length of 2 m. What magnification do you get with eyepieces whose focal lengths are: a. 9 mm, b. 20 mm, and c. 55 mm?

From my textbook:

The magnification of a reflecting telescope is equal to the focal length of the primary mirror divided by the focal length of the eyepiece lens:

Magnification = Focal Length of Primary / Focal Length of Eyepiece

In the question stated above, the three different eyepieces will result in the following magnifications:

2000 mm / 9 mm = 222X
2000 mm / 20 mm = 100X
2000 mm / 55 mm = 36X

Continue reading “Foci and Mirrors”

Newton and Neptune

My second post in my series of weekly discussion topics for my Introduction to Astronomy online class.  Last week I got up close and personal with the many sides of the Moon.  This week I take a closer look at the other blue planet in our solar system and how we discovered it without observing it first.

Parting Shot of Neptune as Voyager 2 began journey into interstellar space (Jan 1996)
The image is among the last full disk photos that Voyager 2 took before beginning its endless journey into interstellar space. (NASA Jan 1996)

Why was the discovery of Neptune a major confirmation of Newton’s universal law of gravitation?

Before Newton, astronomy relied on observational data from which mathematical formulae and equations were created. Newton pioneered an approach which allowed mathematicians to extrapolate and predict the movement of objects using three assumptions, now commonly known as his laws of motion. Together with his formula for gravitational force, Newton transformed Kepler’s three laws to predict orbits of comets and other solar system objects. He further formulated a mathematical model, known as the Law of Universal Gravitation, that describes the behavior of the gravitational force that keeps the planets in their orbits. (Comins, 2015, p. 42-44)

Image credit Tony Wayne Jan 2004

Continue reading “Newton and Neptune”

How Two Sentences Overturned 200 Years Of Mathematical Precedent

http://io9.com/how-two-sentences-overturned-200-years-of-mathematical-1697483698

shortest-known paper in a serious math journal

The first comment is super cool.

Posted from WordPress for Android via my Samsung smartphone. Please excuse any misspellings. Ciao, Jon

18.263k days or .5c yrs

MyBabyPhoto64
Me (late 1964)

Good morning!

And Happy Birthday to myself.  I’ve crossed over.  I’ve reached another dreaded milestone.  Today is the first day of my fifth decade.

To make myself feel better about this dubious event, I’ve reverted to two of my favorite past times:  math and astronomy.

I decided to calculate how many days I’ve been breathing air on Earth.  For that I had to find a date calculator.  Plugging in the relevant date (today in 1964 and 2014), the following results popped up:

From and including: Friday, October 2, 1964
To and including: Thursday, October 2, 2014
Result: 18,263 days

It is 18,263 days from the start date to the end date, end date included

Or 50 years, 1 day including the end date

Alternative time units 18,263 days can be converted to one of these units:

1,577,923,200 seconds
26,298,720 minutes
438,312 hours
18,263 days
2609 weeks

In addition, the Earth is travelling through space, via the Milky Way, at the incredible speed of 3,728.23 mps.  Roughly, the Earth has moved 5.88286061194e+12 miles since I was born, give or take a few.  That equates to approximately 63,256.57 astronomical units.  A rolling stone gathers no moss . . .

And the .5c I included in the title of this post?  No, I’m not travelling at half the speed of  light (except in my dreams).  I’m merely reflecting upon reaching my half century mark.

I decided to make a four day weekend out of this auspicious occasion so I’m relaxing at home, reading and doing other none stressful activities.  No parties (that I know of) and no surprises.  Just Terry, me and the dogs hanging out.

Just another day in the neighborhood.  Eighteen thousand two hundred sixty-three and counting.

That Time Stargate: Universe Hid Cryptographic Messages In Plain Sight

http://space.io9.com/cryptography-embedded-in-stargate-universe-is-a-lesson-1634445198/1634612853/+rtgonzalez

Now I wish I still had Stargate Universe on my DVR.  Guess I’ll see if Netflix has it.

I should have stuck to my math guns.  Cryptography is so cool!

Posted from WordPress for Android via my Samsung smartphone. Please excuse any misspellings. Ciao, Jon

What the Hell Are Tachyons?

http://io9.com/what-the-hell-are-tachyons-1583680897?utm_campaign=socialflow_io9_facebook&utm_source=io9_facebook&utm_medium=socialflow

Ah yes! Got my math fix for the day AND a side of string theory.

Posted from WordPress for Android via my Samsung smartphone. Please excuse any misspellings. Ciao, Jon