Computer & Location Finding Number Systems

The future of quantum computing & AI should use a modern Lat/Long representation system.

Before we get to our main section, let us make sure that most of our audience understands it; thus, first we would talk about how "one and a half" is written using numerals instead of words. There are three common methods used mostly, and these are namely mixed decimal fraction, sexagesimal fraction, and the common fraction; thus, let us use these three methods, respectively, turn by turn to represent "one and a half" using a numerical way, so in mixed decimal fraction it is 1.5, or you are allowed to write it like 1.50 or even like 01.50 (it would not be wrong), then in sexagesimal it is 1:30:00, and then in common fractions it is 1+1/2, but what if the number is slightly bigger than "one and a half," such as 1.55 in mixed decimal fraction? The answer in sexagesimal is 1:30:30, and in common fractions it is either 1+55/100 or 155/100. This explanation was very necessary for beginners; otherwise, it would be difficult for them to understand what comes next.

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One and a half:

1.5 = 1.50 = 01.50 = 1:30:00 = 1+1/2

One point five five:

1.55 = 1:30:30 = 1+55/100 = 155/100  ....

Today it is very common in our daily life that we send coordinates of locations to each other over our mobile phones and computers using a system of three coordinates, namely, LATITUDE, LONGITUDE, and ALTITUDE, or ELEVATION. The system of three coordinates, represented by these three numbers, while these numbers are usually separated by commas, hence these three numbers tell us three things about an object regarding its position on our beloved planet Earth, i.e., LATITUDE tells us where the object is situated (north, south wise) on the Earth, while LONGITUDE tells us where the object is situated (east, west wise) on the planet Earth, while ALTITUDE tells us where the object is regarding its level above the sea level or even below the sea level (there are places on earth below sea level called land depressions).

From our early school days we are taught how to use a measuring tape or a foot rule scale or a center zero scale to measure distances. While a center zero scale is used not only to teach us measurements but also to teach us the concept of negative and positive numbers and to also make us understand the purpose of a number line, all these things give us the concept of one dimension (the length). For instance, a thread from a spider's web gives us the concept of a single dimension that is (the length), which gives us the geometrical concept called "the line." But the things in our physical world often belong to the environments that have more than one dimension; they are not like a string or a thread because the string or thread gives us the concept of only length (the concept of a single dimension), but what about a page of your notebook, which has two dimensions (length and width)? This thing is a two-dimensional thing that gives us the geometrical concept called "the plane." And what would you say about a cube that has three dimensions, i.e., length, width, and height? Such objects give us the geometrical concept called "the space."

We also know (from our early school) about the graph, that we draw on a paper (while the paper represents a plane, the graph is a mesh like grid with two center zero intersecting scales while one of them is placed vertically in the middle of graph paper while the other is placed horizontally in the middle of graph paper and both of these are perpendicular to each other, while their point of intersection is called the origin point or simply the o point, keep in mind that in the concepts of geometry point has no size or thickness , it just represents a point and point has no dimensions while similarly in geometrical concepts a line also has no thickness but has a dimension (the single dimension), while these scales or lines on graph paper are also called axes (the singular of them is axis), these axes divide the graph paper into four quadrants, we give these quadrants some names while we are facing towards north (facing towards north is not mandatory but just a convention and for the sake of our ease we would mention the quadrants in counterclockwise order), thus we name them as: North Eastern, North Western, South Western and South Eastern. With this graph we are taught that whenever we put a point (anywhere) onto the graph, we are able to tell the position of that point due to these two intersecting scales or axes, which divide the graph into four quadrants; hence, this is the most prominent use of graph paper regarding two-dimensional environments. But when we talk about the objects that have three dimensions such as a cube or a globe,  then we need a third axis, penetrating the paper through point o, you can imagine or conceptualize this third axis as a third center zero scale like a string or thread that stands up right (perpendicular onto the paper) passing through a tiny hole on the center of the paper i.e., right through the point o and the zero mark of this line also coincides with the other two axes on point o, 

(Visualize this line as a thin string or thread.)

This situation gives us the geometrical concept of space (you may need to use only a part of the space).

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About 400 years ago, through an international accord, a few things were decided regarding this system of three coordinates, such as that, for the sake of ease, the planet Earth would be divided into two different sets of hemispheres and in two different styles, i.e., vertically and horizontally. To understand this concept, imagine that, first, the Earth is being cut with a knife horizontally, dividing the Earth into two hemispheres, namely the northern hemisphere and the southern hemisphere, while placing the knife over the equator line.

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This line is also called the latitude number zero (it is the largest imaginary ring upon the belly of the Earth; in the language of geography and navigation, such large rings are called great circles, and the shortest distance between any two points on Earth is actually part of a great circle; hence, the equator is also a great circle, and the equator is right at the middle of the Earth, i.e., equally distant from both poles, namely the north pole and the south pole, while the rings below or above the equator get smaller and smaller until they become a point on the poles; while these two points are called the poles of Earth, and these are the points on which Earth rotates, it should be noted that latitudes are also called parallels).

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The number below or above zero LATITUDE (while this LATITUDE is also called the equator) goes either side up to ninety degrees, i.e., up to the poles. Beside this horizontal knife cut, there is another cut, the vertical cut, to once again divide the earth into two other hemispheres, namely the eastern hemisphere and the western hemisphere. The earth is circular; that is, it's round like a globe or sphere, and you know that in the degree system of angles, a circle is divided into 360 degrees.

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(earth is imaginarily marked with 360 lines similar to the ones we see on melons called LONGITUDES or meridians, thus out of these 360 meridians one was decided as the beginning point of counting i.e. zero LONGITUDE or the prime meridian, also known as zero meridian while people mistakenly misunderstand this LONGITUDE as international date line which it is not this line, instead it is the line number 180 that is exactly behind the Earth, (if we are seeing towards the prime meridian), whether we start traveling and start marching either east ward or west ward we could reach the 180th line, while this 180th line is called antemeridian, also called the international date line, though there are 360 lines on a circle, but for the sake of ease, (in the 400 years old international accord) it was decided that we should only need to count up to 180 degrees and this ease can be achieved by making a knife cut while putting the knife either on prime meridian or antemeridian (either zero LONGITUDE or 180th LONGITUDE), the goal of limiting the counting effort up to only 180 meridians is achieved.

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In the days of the 400-year-old accord era, only scientists used the three-coordinate location tracking system, which showed LATITUDE, LONGITUDE, and ALTITUDE, while these three comma-separated numbers looked something like this:

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Sexagesimal form:

31°35′33.046879″ N, 74°18′34.257582″ E, 216.0000 m

OR

Sexagesimal form (using feet instead of meters for ALTITUDE):

31°35′33.046879″ N, 74°18′34.257582″ E, 708.6614 ft

Decimal form:

31.59251302201104, 74.30951599499093, 216.0000 m

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Above are the three comma-separated numbers. While all three numbers are positive numbers, being positive or negative of these numbers shows a certain meaning, such as the first positive number's positivity showing that this LATITUDE belongs to the northern hemisphere (negative LATITUDES belong to the southern hemisphere), the second number's positivity showing that this LONGITUDE belongs to the eastern hemisphere (negative LONGITUDES belong to the western hemisphere), and the third number's positivity showing that this ALTITUDE or elevation is 216.0000 meters above sea level and not below (negative ALTITUDES show elevations below sea level).

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Numbers in today's digital world are communicated (and stored locally on electronic devices) using special codes defined by special international bodies of responsible people appointed specifically and given tasks for this very purpose. Today is the era of modern Unicode. Prior to Unicode, an older code was being used called ASCII. While ASCII is almost obsolete these days because it is seldom and rarely used, Unicode encoding is used worldwide; hence, communications and storage of digital data, such as LATITUDE, LONGITUDE, and ALTITUDE, mostly use Unicode encoding of data.

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Because the numbers used for LATITUDE, LONGITUDE, and ALTITUDE are represented to humans using a familiar to humans number system, i.e., the base 10 number system, but it takes more digital memory and longer communication time over communication lines, hence to address this issue, Google invented a system named "Plus Codes," also known as Open Location Codes, or OLC.

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This system has some issues that I thought I should resolve; hence, I invented a new system intended to improve things. The system invented by Google is a base 20 number system that contains numbers and other characters as digits to denote locations, i.e., addresses on the Earth, as a substitute for the traditional Lat/Long system. The traditional Lat/Long system, although a bit longer to read and write, is a superhero in terms of accuracy, precision, and pinpointing addresses.

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My newly invented number system is also a superhero on the same basis plus some extra qualities that do not exist in the traditional base 10 Lat/Long representing system of locations and not even in Google's Plus code. The system I invented is a base 100 system, which I named "ikhtisari ginti" (اختصاری گنتی in Urdu, meaning "shorthand of numbers" in English).

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The invention of Plus Codes by Google was aimed at making addresses brief, i.e., short, but Google's Plus Codes are very hard to comprehend for humans since they use symbols other than numerals, which forces humans to memorize and requires a special learning curve, which is a hindrance in the way of their popularity and worldwide adoption, while the system invented by me looks familiar and is very simple to humans and does not require any extra learning and memorizing, and it is very ready to be adopted (no conversion required since visually this system is directly comprehensible to humans).

The symbols I made to be used for the creation of fonts intended to be used for a special number system called the base 100 number system, or centesimal system, these symbols apparently seem to be a pair of numbers, such as from 00 through 99, but these apparently pairs actually are single entities instead, and this singularity is depicted by a short line at the top of every symbol, while this short line resembles a hyphen.

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This strategy serves both purposes better than Plus code, i.e., it is more brief than Plus code, which means less memory taking on electronic devices and faster communication speeds. Hence, below is a chart showing the symbols, while these symbols show the seamless adoption of the system. I am also attaching the chart that shows my base 100 symbols.

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Below is the chart for all unique 100 symbols for the base 100 number system: