Here is just a sampling of the more interesting ones One odd consequence of the chosen definition for the base change is that a ternary-cheese mite ends up being bigger than a ternary-clover mite. This also is the case with a binary-cheese mite vs. This is just a quirk of the system. We can continue our journey by introducing a series of modifiers on the guppy, gogol, and googol.
The currently supported modifiers are -ding, -chime, -bell, -toll, -gong, -bong, - throng, and - gandingan. We can begin by introducing the -ding modifier. We can combine it with our previous numbers to obtain more googolisms. We can begin with the guppy.
This allows us to form guppyding. So a guppyding is the same as a googol. So the number googol is included in this regiment under a different name.
Next we can apply the -ding modifier to the gogol. Next up, we combine googol with the - ding operator This number is still small enough that I can actually write out it's decimal expansion. This number is quite large though. To get numbers this big or bigger in astronomy we need to either consider exotic theories of the universe as a whole, or consider certain hypothetical time scales for the lifetimes of certain celestial objects.
We'll be getting to those shortly. We can also consider creating binary and octal versions of the numbers guppyding, gogolding, and googolding. However the -bit and - byte operators do not sound very good here, so I suggest the alternative of appending the words binary- and octal- to the numbers This is just another name for a googolbyte.
This number contains exactly 75 digits, placing it below a googol. This number contains exactly digits, and is the cube of a gogoldingbit. This number is also the fifth power of a googolbit. Next up is the googoldingbyte This number has exactly digits and is the cube of a binary-googolding.
Next up A googolchime is exactly the square of a googolding. In other words a googolchime is equal to a googolding googoldings. A googolding would be a vanishingly small dot in comparison! This is also the tenth power of a googol. Despite the fact that we can write out a googolchime in decimal, the numbers are already far too horrendously large for us to really have a proper appreciation for.
Given that, surely no number in science can possibly compare to this behemoth, right? Actually there are numbers in astronomy even larger than this. At this point the universe will be mostly composed on Iron atoms, mostly contained within Iron Stars, unimaginably far apart from each other. It is difficult to imagine the sheer vast cold emptiness of such a future time. But we have only begun to contemplate big numbers This is the fifth power of a googolchime.
Next up is the even bigger googoltoll A googoltoll is the square of a googolbell. In other words a googoltoll is a googolbell googolbells. I t's also the tenth power of a googolchime! That's a googolchime googolchime googolchime googolchime googolchime googolchime googolchime googolchime googolchime googolchime's! At this point while it is still technically feasible to write out the decimal expansion in full it is becoming increasingly impractical, and soon it will be not even possible!
A googolgong is the tenth power of a googoltoll. This number defies comprehension already but That's 1 followed by a hundred million zeroes. This is also the thousandth power of a googolgong. At this point we have a number so big that even if you converted every character in this entire webbook into zeroes you still would not have nearly enough to write out the full decimal expansion of this number!
Going further still we have This is also the thousandth power of a googolbong. At this point we quickly eclipse the previous number to the size of an infinitesimal point every single time we go to the next googolism! We can follow with A googolgandingan is 1 followed by a hundred trillion zeroes. The name comes from the instrument of a gandingan which is composed of four gongs in series. This also suggests the name googolquadrigong and the further continuation At this point we have crossed a critical point with our numbers.
We have also crossed another critical boundary. So at this point we have crossed over from mainstream astronomy into the deep end of hypothetical astronomy. We aren't quite beyond the exosphere of science yet We have passed the googolplex for the first time! There are only a few more numbers less than a googolplex in the guppy regiment left. We can go a bit further with our latin numbers to obtain Further googolism's for the regiment can be formed by appending the suffixes -plex, -duplex, -triplex, etc.
We begin with the Guppy Series. Firstly we define a series of names with guppy combined with the gong suffixes Let's also apply these suffixes to the gogol and ogol We can go further by applying latin numbers, ie. This suggests the term guppyplex. With that in mind we can form the following Guppy Series :. See Member No. If the guppy was small relative to the googol , the guppyplex is inconceivably tiny relative to the googolplex.
That's the end of the Guppy Series. But we still have lots of more series to go through. Next up is the Googolbit Series. We might append -plex at the end of this to form googolbitplex, but in the case where a modifier is already being applied to a googol I prefer to flip the order to googolplexibit.
This suggest the following series The gogolplex is not half of a googolplex. Instead you'd have to raise a gogolplex to a gogol to get a googolplex! From this we may form the following continuation:. We begin with the Googolchime Series.
This suggests the term googolchimeplex, however I find this doesn't sound as good as reversing the order of the suffixes, thus googolplexichime , a modification of the googolplex. In the same way we can form the Googoltoll Series :. Next we move on to the eponymous Googolgong Series :. The pattern should be clear. Here are a few examples from the Googolbong Series:. Finally the Googolthrong Series :. Is that it?! Not quite.
I also have a continuation of the centillion. However I could not devise any good names for these numbers, other than the erroneous centillionillion. With the introduction of such suffixes as -plex, -duplex, -triplex, etc. However rather than use the predictable " centillionplex ", which doesn't sound that great, I propose a new "base". Let " Eceton " be another name for centillion. Then we can define the following numbers:. For fun here are some additional numbers we can name using - eceton- along with some of the other modifiers Another thing I'd like to introduce is a nice way to name the so called millionplex along with a bunch of other googolism's patterned on the same approach.
Since millionplex never sounded very good to me I suggest reordering the roots as milliplexion. From this we can get In addition I'd like to coin a name for a number my brother came up with while struggling to show that creating "very large numbers" is always easy In other words it is the millionth power of a milliduplexion.
With numbers this big however this isn't that impressive an improvement. While it is true that this number is easy to define We need to create rather sophisticated recursions to reach that level. We have really only just begun In addition to all this I also have some names for power towers of Tens.
The number of tens can be written as a greek number followed by the suffix "-logue". Thus I define the following numbers:. That's so counter-intuitive it sounds impossible, but it's not! The dekalogue is also known as the " decker " in Bowers system, and the hectalogue is known as the " giggol ".
We can go a little further with the greek numbers, so let's also introduce:. We can go a little further We could coin As an alternative to a myria-myrialogue using Archimedes " octad ".
Going a little further with this pattern we could use That's as far as we can go with the greek. At this point we are really pushing the limits of the guppy regiment , so let's stop here. Category 2. Now for something a little more interesting. Let's begin by extending the " googol series " to insane heights. Continue this way until you reach the th step.
This is some new kind of number. I will call it a " grangol ", which is short for " grand googol ". That's a pretty cool number. We can also have a This is true. There is some overlap here between the guppy regiment and the grangol regiment. So just to prove a point let's push the whole -logue idea to the limit. Then I'll show that we can still beat this with tricks exclusive to the grangol regiment.
First to go further we loosen the requirement that the argument for n -logue need be in greek. Thus we can use our googolism's to bootstrap us to even larger values. Here are some examples But to go much further than this we can just loosen the requirement that the argument be in greek. With this in mind I will coin the largest numbers of this regiment What would be even better?
If we could get the same recursion with our new grangol number. We can have a grangol 10's with a determinant of , or the grangolth member of the googol series. We can't use "plex" here.
If we use the definition we established in the "googol series" article Technically we would have to say:. Therefore I suggest a new prefix, called "dex". The "dex" simply takes the number, and substitutes it back into the replicator.
Basically the "dex" function generates a power tower with a height equal to it's input! We can then define the following numbers:. We can also use the "dex" and "plex" suffixes in non-standard ways to create even more numbers. Whenever converting a name involving mixed types of suffixes, apply the suffixes from left to right. Here are some examples:. The ability to mix suffixes allows us to name many inbetween values which exist between the Grangol Series. The following series exists entirely between a grangol and a grangoldex :.
We can also create a series which will fall between a grangoldex and a grangoldudex :. We can keep going in this manner with even more in between values That's quite a lot of googolism's we can form already, but we aren't done yet. We can also apply the suffixes -chime, -toll , -gong , -bong , and -throng to a grangol as well. Here is some of the members of the Grangolchime Series:. Now we create a Grangoltoll Series :. Of coarse we can also have a Grangolgong Series as well:.
Lastly we can introduce the grangolbong and grangolthrong series :. We can also apply our suffixes to other numbers besides a grangol. Here's what happens when we apply them to Jonathan Bowers' giggol :. We can also come up with some names for common tetra-towers.
I will use the suffix "-taxis" , meaning "class", to indicate the tetrational-logarithm , or taxirithm. Furthermore we may introduce At this point we've already far surpassed anything we encountered in chapter , and we've just begun! Let's now continue to the next level Greagol Regiment. Category 3. If you thought those numbers were crazy, check out what comes next. First I'll start with a new number, which I'll call a " greagol " short for "great googol".
Let's pause for a moment to understand how large a greagol is. E E E E is a grangoldex and is the second step. E E E is a grangoldudex and is the third step. A greagol is the th step of the grangol series!
Here is a visual representation of a greagol :. Next we come up with a new suffix, the "-threx", to have as many levels of power towers as the previous number. Next we can apply -chime,-toll,-gong,-bong, and -throng to obtain even more googolism's.
First the greagolchime series:. Next we can form a greagolgong series:. Lastly the greagolbong and greagolthrong series :. We can further combine Bowers' gaggol E1 1 , with our various suffixes to form:. In addition to all this, we may also create even more in-between values by trying different combinations of the -plex, -dex, and -threx suffixes with previously introduced numbers.
These numbers are between a greagol and a greagolthrex :. These numbers are between a greagolthrex and a greagolduthrex :. These numbers are between a greagolduthrex and a greagoltrithrex :.
These numbers are between greagoltrithrex and a greagolquadrithrex :. These numbers are between greagolquadrithrex and greagolquintithrex :. Next we can form an extension of the centillion :. At this point it's impossible for us to fully appreciate the gaps between these enormous numbers. The difference between a grangol and a grangoldex is already staggeringly counter intuitive.
It's almost impossible to appreciate the huge gulf that must exist between a greagol and a greagolthrex. Gigangol Regiment. Category 4. Next comes the "gigangol" short for gigantic googol. At this point it is difficult to describe these numbers using the conventional illustrations of power towers. A gigangol is the th member of the series, beginning with greagol , greagolthrex , greagolduthrex , etc. In other words its the th member of the greagol series.
To help visualize this number we can use the following special notation. We can also introduce gigangolchime , gigangoltoll, gigangolgong, gigangolbong, and gigangolthrong along with their derivatives:. Compare to the gigangolgong , the googolgong now looks quite humble indeed, and there is still a lot further to go! We can also get more in between cases from further mixing of suffixes and roots These numbers are between a gigangol and a gigangoltetrex :.
These numbers are between a gigangoltetrex and a gigangoldudtetrex :. These numbers are between a gigangoldutetrex and a gigangoltritetrex :. These numbers are between a gigangoltritetrex and a gigangolquadritetrex :. These numbers are between a gigangolquadritetrex and a gigangolquintitetrex :. W e can also have an extension of centillion:. Category 5. Next comes the Gorgegol group gorgegol is short for the "gorged googol". To be gorged means to be full in excess.
So the gorgegol is literally bursting with fullness! Of coarse we can also introduce E,,, ,,, ,,, ,,, ,,, E,,, ,,, ,,, ,,, ,,, 2. We can also have Category 6. Now for the ecetonhex series :. Lastly we have the - octaxis series :. Finally we have Category 7. Due to the popularity of my extension of the classic googol-series, some have tried to extend it beyond the Gulgol group. Next the in betweens Next the ecetonheptex series :. This is equal to the small " tridecal " tridecal Jr.
Category 8. Next the ecetonoctex series Lastly the - dekaxis series Why stop at 8? Let's go up to a full 10 regiments before moving on to the next level of sophistication. With that in mind I present the eponymous member of the 9th regiment:. E,, ,, ,, May 8, AM. May 9, PM in response to nick In response to nick What's interesting is the moral if not legal point of who is liable for the cost of these massive downloads.
The "fix" is necessary for the proper and continued secure functioning of the device. Sure, some security patches fix unforseen issues that have literally come out the blue and taken everyone by surprise. Sure — but I've worked in IT long enough to know that some security issues are also caused by other factors such as staff incompetence, limited project budgets and short timeframes. Here's a real-world example: iOS 1.
Tough luck for anyone who owns both products. Now, each contains security improvements that cannot be downloaded on their own, but consider the following facts:. Australia's main teleco is Telstra and their cheapest ADSL plan is 5GB a month then slowed to an unusable snail pace for data over this limit. Fortunately I'm not on this plan, but many of Australians will be or will be on similar.
More, if they have additional Apple products. May 9, PM. This means getting the exact same features, but for less the size, since the update done OTA is pretty much just a patch.
That's fantastic news. Unfortunately, I don't think it's widely known. Possibly because it's not widely publicised. Not being the customer allowed me to concentrate closely on the sales technique, which was very interesting to watch.
While the sales person did an excellent job, particularly with the product orientation, there was absolutely no mention made of the data savings available by updating directly to the device, as you've indicated. Anyway, thanks very much for your feedback — hopefully others will find this as useful as I have.
May 23, PM in response to platon57 In response to platon My suspicion is that Apple have done deals with many Telcos around the world, especially those who charge per gb. So sick of it! And apparently Apple are about to introduce automatic updating with the new Lion OS update. Also it discriminates massively against the world 's poor in developing nations, making their products unuseable in those countries. Well, I should prolly stop letting others affect how I live my life.
Thanks Francis — I heeded your disappointment last time and went back to a format! Yeah I think all of us have a habit of being far harder on ourselves than we are on others. Sadly this is often counter productive. I enjoy both formats. Both are very informative and I love learning new things or seeing a different perspective. Forgiveness, something we can often find it easier to give others than ourselves.
As you say we must have a healthy relationship with the person we see in the mirror or life will be a lot more difficult than it should be. Kia kaha, and keep on keeping on being awesome. Cheers Hamish. I agree — it starts with yourself. You are commenting using your WordPress. You are commenting using your Google account. You are commenting using your Twitter account. You are commenting using your Facebook account. Notify me of new comments via email.
Notify me of new posts via email. Why I Write The seeds of doubt were planted at a young age. Why Everything Scares You To Death The other night, while I was trying to sleep, I started thinking about the post I wrote last week where I stated that hatred is driven — at its core — by a fear of death.
Just imagine the horror — 4 more years of this! Probably best we just throw it it out in November hey? Like this: Like Loading Thanks Kellie. Oh, shame. I thought it was cool. Oh, so more than one person is carving him in effigy! Fancy that! Lovely post my friend Like Liked by 2 people. Always a pleasure. I loved your number 4.
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