/sci/ - Science & Math

So, here are some fraction approximations of Pi that are really accurate.

22/7≈π, accurate to within 1/24 of one percent.
201/64≈π, accurate to within 1/32 of one percent.
245/78≈π, accurate to within 1/55 of one percent.
267/85≈π, accurate to within 1/75 of one percent.
509/162≈π, accurate to within 1/82 of one percent.
465/148≈π, accurate to within 1/104 of one percent.
289/92≈π, accurate to within 1/108 of one percent.
421/134≈π, accurate to within 1/158 of one percent.
333/106≈π, accurate to within 1/377 of one percent.
377/120≈π, accurate to within 1/424 of one percent.
355/113≈π, accurate to within 1/11,776,662 of one percent.

And here are some interesting equations that get really accurate values for Pi, most of which I discovered myself by playing around on my calculator.

(π*2)^φ+φ^(π*2)≈π^(φ*2)–1/2, accurate to within 1/150 of a percent.
(π*2)^φ≈φ^(π*2)–1, accurate to within 1/282 of a percent.
(63/4)^(2/3)≈π*2, accurate to within 1/605 of a percent.
φ^2*6/5≈π, accurate to within 1/652 of a percent.
(π*2)^φ*(2^(5/47)+1)≈π^(φ*2), accurate to within 1/806 of a percent.
(π*2)/(φ*2^(4/167))≈LN(π*2)/LN(φ), accurate to within 1/1124 of a percent.
2^(2–3/φ)*1485/523≈π, accurate to within 1/1,601 of a percent.
(π*2)^φ*(2^(7/275)+1)≈(π*2)^2, accurate to within 1/2,740 of a percent.
(1947/100)^(13/21)≈π*2, accurate to within 1/4,590 of a percent.
φ^(π*10/3)–φ^(π*3)≈611/10, accurate to within 1/8,341 of a percent.
(17144/11)^(1/4)≈π*2, accurate to within 1/31,192,488 of a percent.

TLDR – yeah, I don't blame you. I've basicly just wasted the last four hours doing this. :/

Quite a while.

Step 1: punch a couple trees to get blocks of wood.
Step 2: build a workbench out of said wood.
Step 3: build a wooden pickaxe
...
Step 1,000,000 build ladder to the moon

Hey everyone! I just recently got into Minecraft, and i absolutely love it. I have a pretty mathematical background, so, while i was up late, i came up with this. If you find my math to be wrong, simply respond with the correction, and I'll go back in and edit.

"I did some calculations, cause i was bored, to see about how much of the map i had explored in my Minecraft world. Keep in mind I've spent 24-36 hours in this world.

Opening some of my game files, i found that I had explored around 4,950,000 square meters ( 1 block = 1 square meter). For the sake of the calculations we'll say 5,000,000 square meters. 5 million square meters = 5 square kilometers. 1 Minecraft world = 8 times the surface area of the Earth. The surface area of the earth is 510,072,000 square kilometers.

So, 8 * 510,072,000 = 4,080,576,000 (4 Billion Square Kilometers!)
I have explored 5 square kilometers.

5 kmsq / 4,080,576,000 kmsq = .0000000001225317

In, we'll just say 36 hours, i have explored, practically speaking, 0% of the full potential of my map.

To calculate the amount of time it would take me to explore the map at the rate i was going (I'll admit, i was doing some mining, crafting, etc)...

.0000000001225317 * 10 Billion = 1.2 (% of the map)

1.2 * 83.3 = 100%

So then, the amount of time it would take to completely explore a world on Minecraft, to be able to go no further, is 36 hrs * 83.3 Billion = 2,998,800,000,000

Approximately 3 trillion hours.

Average human life expectancy is 78 years.

78 years = 683,280 hours

So to find the amount of Lifetimes it would take to completely explore a Minecraft map, you just do 3,000,000,000,000 / 683,280

At the rate I was going, it would have taken me 4,390,586 lifetimes to explore the Minecraft map. "

Is this math correct?

>>2227494