Leaf Blower Revolution - Idle Game

Leaf Blower Revolution - Idle Game

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Number Notation
By tonkugel
Confused about numbers like 3.27a, 1.03e15, 55.97Qi ? As numbers grow quickly in this game, this guide can help you to understand the different number notation systems.
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Understanding large numbers
As numbers are growing quickly (exponentially) in this game, you will sooner or later be faced with numbers that look like this:

Big numbers will be displayed as a number followed by some letters. Obviously the letters serve as a way of describing the magnitudes. Otherwise your whole screen will be filled with numbers at some point.

You might be familiar with abbreviations like '1k' which stands for 1,000 (one thousand) but not know, what '1D' or '1a' means.
Luckily understanding all the symbols of the number notations is not as difficult as one might think.

>> A table containing all the symbols can be found in a separate section below. <<

The game lets you choose between different notation systems in the gameplay options menu. The 'Default' notation might confuse you more like others. I personally prefer 'Alternative':


All the different systems together with their advantages and disadvantages are explained below.
Default Notation
The default notation starts with abbreviations most people will recognize:

1.00 k = one thousand (kilo)
1.00 m = one million
1.00 b = one billion
1.00 t = one trillion

After that, if it reaches the next magnitude which is a quadrillion (1,000,000,000,000,000), the notation system switches to an alphabetical one, beginning with 'a'. After every power of thousand, small and capital letters alternate while progressing through the whole alphabet. But the letters B,K,M,T and L will be skipped as they are already used for the first four powers (and the small L can be confused with the capital i).

So the complete sequence of magnitudes is:
k, m, b, t, a, A, c, C, d, D, e, E, f, F, g, G, h, H, i, I, j, J, n, N, o, O, p, P, q, Q, r, R, s, S, u, U, v, V, w, W, x, X, y, Y, z, Z


Advantages:
+ you don't have to know the name of magnitudes bigger than trillions
+ the farther you progress into the alphabet, the larger the numbers are (usually)

Disadvantages:
- inconsistent system as it switches from English names to the alphabet
- confusion possible about the letters k, m, b and t
- notations not used in the real world
- difficult to work out the exact power of a number
Alternative Notation
The alternative notation system is more consistent than the default one. It only makes use of the English names for the powers of the numbers:

1.00 K = Thousand (kilo)
1.00 M = Million
1.00 B = Billion
1.00 T = Trillion
1.00 Qa = Quadrillion
1.00 Qu = Quintillion
1.00 Sx = Sextillion
and so on... (see table below)

If you are familiar with the names of magnitudes, this system might suit you better.
Nevertheless, confusion can happen if your native language is not English. Many other languages are using a name convention with powers of millions, while English is thinking in powers of thousands. For example an English 'billion' is a thousand 'millions' while in other languages a 'billion' is a million 'millions'. A thousand 'millions' is called a 'milliard' in these languages (see table below).

The sequence of magnitudes is:
K, M, B, T, Qa, Qi, Sx, Sp, Oc, No, Dc, Ud, Dd, Td, Qad, Qid, Sxd, Spd, Od, Nd, V, Uv, Dv, Tv, Qav, Qiv, Sxv, Spv, Ov, Nv, ...


Advantages:
+ consistent system
+ easy to understand
+ real number system

Disadvantages:
- you have to know the name of magnitudes to understand the system
- confusion possible between different languages
Scientific Notation
The scientific notation is widely used among different technical and scientific systems.
A large number will be presented with an 'e' followed by another number.

An easy way of understanding this symbol is:
The number following 'e' represents the number of digits

For Example:
1 e3 = a one and 3 zeros = 1,000 (a thousand)
1 e7 = a one and 7 zeros = 10,000,000 (ten millions)

Mathematically speaking the eX part is just an abbreviation for a multiplication by 10 to the power of X (The letter 'e' stands for exponent):
1 e3 = 1 * 10^3 = 1 * 1000 = 1000


Advantages:
+ widely used number system
+ consistent system
+ useful even for very large magnitudes

Disadvantages:
- could be difficult to keep track of as symbols change quickly
- can be confusing for people without mathematical background
Engineering Notation
The engineering notation is almost the same as the scientific one. The only difference is that the exponent can only be a multiple of 3 which directly translates to the name of a magnitude (like million, billion, trillion, ...).

For example a comparison of the number 20,000,000 in these two notations:
Scientific: 2 e7 = 2 "ten millions"
Engineering: 20 e6 = 20 "millions"


Advantages:
+ real number system
+ consistent system
+ a symbol always directly translates to the name of a magnitude
+ useful even for very large magnitudes

Disadvantages:
- can be confusing for people without mathematical background
Leaf Notation
The leaf notation is exactly the same as the engineering one. The letter 'e' just gets replaced by the word 'Leaf' for fun.

1 Leaf3 = 1000


Advantages:
+ consistent system
+ a symbol always directly translates to the name of a magnitude
+ useful even for very large magnitudes

Disadvantages:
- can be confusing for people without mathematical background
- the length of the word 'Leaf' can make numbers look more confusing
Symbol Table
Number
Scientific
Default
Alternative
Name
Short Convention
(English)
Name
Long Convention
(other lang.)
1,000
e3
k
K
Thousand
Thousand
1,000,000
e6
m
M
Million
Million
1,000,000,000
e9
b
B
Billion
Milliard
1,000,000,000,000
e12
t
T
Trillion
Billion
1,000,000,000,000,000
e15
a
Qa
Quadrillion
Billiard
1,000,000,000,000,000,000
e18
A
Qi
Quintillion
Trillion
1,000,000,000,000,000,000,
000
e21
c
Sx
Sextillion
Trilliard
1,000,000,000,000,000,000,
000,000
e24
C
Sp
Septillion
Quadrillion
1,000,000,000,000,000,000,
000,000,000
e27
d
Oc
Octillion
Quadrilliard
1,000,000,000,000,000,000,
000,000,000,000
e30
D
No
Nonillion
Quintillion
1,000,000,000,000,000,000,
000,000,000,000,000
e33
e
Dc
Decillion
Quintilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000
e36
E
Ud
Undecillion
Sextillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000
e39
f
Dd
Duodecillion
Sextilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000
e42
F
Td
Tredecillion
Septillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000
e45
g
Qad
Quattuordecillion
Septilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000
e48
G
Qid
Quindecillion
Oktillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000
e51
h
Sxd
Sexdecillion
Oktilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000
e54
H
Spd
Septendecillion
Nonillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000
e57
i
Od
Octodecillion
Nonilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000
e60
I
Nd
Novemdecillion
Decillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000
e63
j
V
Vigintillion
Decilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000
e66
J
Uv
Unvigintillion
Undecillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000
e69
n
Dv
Duovigintillion
Undecilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000
e72
N
Tv
Trevigintillion
Duodecillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000
e75
o
Qav
Quattuorvigintillion
Duodecilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000
e78
O
Qiv
Quinvigintillion
Tredecillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000
e81
p
Sxv
Sexvigintillion
Tredecilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000
e84
P
Spv
Septenvigintillion
Quattuordecillion
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000
e87
q
Ov
Octovigintillion
Quattuordecilliard
1,000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000,
000,000,000,000,000,000
e90
Q
Nv
Novemvigintillion
Quindecillion
This goes on for a long time...
Maximum values
When numbers are reaching the sky, even these notation systems will max out at some point.

The 'Default' system gets to its limit at 999.99 Z which is a number consisting of a total of 141 nines.
After that it switches to the 'Scientific' notation.

In theory the scientific number notation could go on forever, although one would run into the same problem of confusion if the numbers following the 'e' get too large.
The current maximum (for technical reasons) seems to be e308.

Following that, the absolute maximum number that will be displayed anywhere in the game is:
( <- hover mouse over black square to show image)



The maximums of the notation systems might be subject to change in further updates. I will try to update this guide. But please feel free to leave a comment if I missed something, you think this guide was helpful or you have other thoughts!
7 Comments
Jeradooka 7 Feb @ 2:05pm 
Thanks for the guide! The a and A really confused me, so I have now switched to Engineering :D.

My original thought when I saw a start being used was, "wtf is this ####"
Harvester 30 Oct, 2022 @ 11:28am 
1e2 / 1e2 noice
asiancaleb 7 Aug, 2022 @ 7:41pm 
THANKS!
AlfredWallace 16 Apr, 2022 @ 1:35am 
Thank you for this very useful guide :candyman:
Daunmi 13 Mar, 2022 @ 11:35am 
When I check my stats menu my total leaves collected seems to cap at e308. So it does seem likely that there's some limit due to that, yes.

This is a great guide. I don't know how USEFUL it is, but it's very well set out and does exactly what it tries to do.
tonkugel  [author] 9 Mar, 2022 @ 12:21pm 
@N'fol Thanks for your comment! This makes a lot of sense and seems very likely. I didn't think about using floats.
N'fol 8 Mar, 2022 @ 6:15pm 
In reference to your comment at the end, I have a guess as to the numeric limit. The IEEE 754 64-bit floating point representation https://en.wikipedia.org/wiki/Double-precision_floating-point_format has a rough maximum of e308 . Assuming that is used internally in the game to count the leaves, capping at e300 stops at a nice, round number.