Projection
Methods
The secrets behind the world maps.
The Matrix
All projection methods at a glance
Thanks to my friend Jack van Wijk, professor of Mathematics and Computer Science, who taught me to understand the importance of losing face.
Jack van Wijk wrote in his publication: "How can we unfold the Earth? Making a map of the Earth is a classic problem. Here a new method is shown: Divide the surface of the globe into many triangles and unfold them. ten variations are shown, which become stranger and stranger..."
.png?etag=null&sourceContentType=image%2Fpng&quality=85 "Maurer's S231 (equal-area star)")
%252C%20Peters%252C%20Dyer%252C%20Tobler%252CChen.png?etag=null&sourceContentType=image%2Fpng&quality=85 "Lambert's equal-area cylindrical; variations by Behrmann, Trystan Edwa")
.png?etag=null&sourceContentType=image%2Fpng&quality=85 "Armadillo (orthoapsidal on torus)")
THE MATH
OF MAROGA
√ The Square Root.
Map making is mathematics so complicated that only specialists understand it. My math is the simplest formula that has been overlooked by everyone so far! It is important to understand the table of 20.
Step 1 is multiplying
0 x 0 = 0
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
8 x 8 = 64
9 x 9 = 81
10x10 = 100
11x11 = 121
12x12 = 144
13x13 = 169
14x14 = 196
15x15 = 225
16x16 = 256
17x17 = 289
18x18 = 306
19x19 = 361
20x20 = 400
Step 2 is taking the square root
√0 = 0 x 0
√1 = 1 x 1
√4 = 2 x 2
√9 = 3 x 3
√16 = 4 x 4
√25 = 5 x 5
√36 = 6 x 6
√49 = 7 x 7
√64 = 8 x 8
√81 = 9 x 9
√100 = 10x10
√121 = 11x11
√144 = 12x12
√169 = 13x13
√196 = 14x14
√225 = 15x15
√256 = 16x16
√289 = 17x17
√306 = 18x18
√361 = 19x19
√400 = 20x20
MATH IS MAKING ARRANGEMENTS
If the area of a circle is 400 square millimeters.
Then what is the square root?
√ 400 = 20x20 =20
The question is written like this:
√400 = 20
√100 = 10
So if the area is 25
So what is the root of that?
√ 25 = 5
The total surface area of a planet expressed in square millimeters is called:
√XZY2
That means any area of a sphere
- via my discovered formula -
can be converted directly into a square and flat surface.
Suppose the surface area of the moon (which is round) is 361 square millimeters.
What is the root of that?
√361= 19 (19x19)
19 x 19 is a square size and therefore also a diagram; a rectangular and flat surface.
The second mathematical law of my invention is that the two diagonals of the square are equal to the circumference of the sphere.
The two diagonals found determine the scale of the map and are pure.
So much for the math!
Step 1 = √xzy2
Step 2 = 2xD = the circumference of the Earth
Step 3 = Octant projection
Octa means 8.
An Octant projection is therefore the earth divided into 8 equal parts.
There are 4 octant projections known in geography:
1 – Leonardo da Vinci
2 – van Geelkercken
3 – Cahill
4 – Peirce/van de Werdt
The big advantage of Peirce/Werdt is that the resulting squares can be linked infinitely. The Da Vinci method is the predecessor of Orthographic and Azimuthal projection. Van Geelkercken is the forerunner of the current Mercator Projection, where Cahill is more of a novelty. Peirce/Werdt is the predecessor of the Peirce Projection in a square versus Van de Werdt's Maroga Projection. Also in a square.
The
Continents
