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The fifth hyperfactorial: 5⁵ × 4⁴ × 3³ × 2² × 1¹ milliseconds is exactly 1 day

184 pointsby slbenficaover 7 years ago

16 comments

mavhcover 7 years ago
(5 * 5 * 5 * 5 * 5) * (4 * 4 * 4 * 4) * (3 * 3 * 3) * (2 * 2) = (4 * 3 * 2) * (5 * 4 * 3) * (5 * 4 * 3) * ((5 * 5 * 4) * (5 * 2)) = 24 * 60 * 60 * 1000
greenleafjacobover 7 years ago
Units of time are specifically chosen to have 5, 2, and 3 as factors. It doesn&#x27;t look so pretty when you compare with universal fundamentals:<p>&gt; 1.000692286 milliseconds – time taken for light to travel 300 km in a vacuum
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didhshzover 7 years ago
g in SI units is very close to pi^2.<p>And the weird thing is that it almost is <i>not</i> a coincidence! The meter was almost defined as a second pendulum (implying pi^2 is exactly g) but then the variability in g was considered to impractical.<p>So then they choose the first meter definition (1&#x2F;4 circ. if the earth)... which is suspiciously close to what they wanted to define the meter with in the first place
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Scootyover 7 years ago
[5, 4, 3, 2, 1].map(n =&gt; Math.pow(n, n)).reduce((a, b) =&gt; a * b) === 1000 * 60 * 60 * 24<p>true
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baddoxover 7 years ago
Also, 10 factorial seconds is exactly 6 weeks.
LearnerHerzogover 7 years ago
It is one day according to our clocks; it has no real significance in when compared to an actual day which is 23 hours 56 minutes 4 seconds- the time it takes the earth to make one full rotation.
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em3rgent0rdrover 7 years ago
So what? Coincidences occur all the time. Unless they expose a deeper hidden scientific&#x2F;mathematical truth (which is not the case here), they aren&#x27;t worth mentioning. Since the number of things that can be compared is astronomically huge (and increases every day), the chances of having coincidences is huge (and increases every day). The birthday paradox is an example of how common coincidences really are.<p>Numerologists of centuries past wasted lots of intellectual potential by obsessing over simple coincidences.
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gerdesjover 7 years ago
OK, so far we have a Javascript and possibly C based &quot;proof&quot;.<p>Could someone manage a Brain Fuck proof or perhaps ASM?
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beagle3over 7 years ago
Another neat trick: the number of seconds in a day is 864e2 (easier to remember than 86400 for me)
abhisuri97over 7 years ago
const hyperFactorial = (n) =&gt; [...Array(n+1).keys()].map(Math.pow).reduce((a,b) =&gt; a * b)
juancnover 7 years ago
Also 10! seconds is exactly six weeks.
ngcc_hkover 7 years ago
42 = 10! In one of the tweet there is another surprise.
GIFtheoryover 7 years ago
Obligatory xkcd: <a href="https:&#x2F;&#x2F;xkcd.com&#x2F;1047&#x2F;" rel="nofollow">https:&#x2F;&#x2F;xkcd.com&#x2F;1047&#x2F;</a>
danjocover 7 years ago
Off by one<p><a href="https:&#x2F;&#x2F;www.timeanddate.com&#x2F;time&#x2F;earth-rotation.html" rel="nofollow">https:&#x2F;&#x2F;www.timeanddate.com&#x2F;time&#x2F;earth-rotation.html</a>
MPSimmonsover 7 years ago
This is only true if you have no idea of how many milliseconds are in a day.<p>On the other hand, it IS very <i>close</i> to a day, which is neat.<p>But it&#x27;s not exactly a day. Within a few miliseconds, days drift quite a bit because of shifts in the center of gravity and the moment of inertia.<p>The Three Gorges Dam and the Boxing Day quake both measurably changed the rate of the Earth&#x27;s spin.
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danislu2over 7 years ago
This is the final and clinching proof of the non-existence of God.<p>&quot;The argument goes something like this: &#x27;I refuse to prove that I exist,&#x27; says God, &#x27;for proof denies faith, and without faith, I am nothing.&#x27; &#x27;But, says Man, this is a dead giveaway, isn&#x27;t it? It could not be chance. It proves you exist, and, by your own arguments, you don&#x27;t. QED.&#x27; &#x27;Oh dear,&#x27; says God, &#x27;I hadn&#x27;t thought of that,&#x27; and vanishes in a puff of logic. &#x27;Oh, that was easy,&#x27; says Man, and for an encore goes on to prove that black is white and gets himself killed on the next zebra crossing
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