If you have completed the core seminar and want to apply quintrays, you can find help here for equal-distant calculations, center of symmetry, reverse direction, composition conversions, analytical conversions, and calculation of dual apps (reverse, twin). Enter the data into the cells on the left, then see the solutions after you calculate them yourself.
Do not interfere with the cells that calculate the solutions! Enter the values in the cells with the dash –.
To use the calculation tools, follow the steps below, depending on whether you have a Google (Gmail) account or not:
Case A: You have a Google account (Recommended)
Click the button you are interested in.
A Google page will appear asking: "Do you want to create a copy of the document?"
Click the "Create a copy" button.
The file will open immediately and be saved to your Google Drive. You can now enter your values in the Start and End cells and see the results.
Tip: If you accidentally delete a formula and the calculations stop working, don't worry. Just create a new copy of the file from the original link on this page.
Case B: You do NOT have a Google account
Open the file you are interested in in a new window.
In the menu at the top left, click File > Download.
Select Microsoft Excel (.xlsx).
Save the file to your computer, then open it in Excel. (It is possible that some functions will not work correctly.)
This spreadsheet includes 3 files:
1) INVESTIGATION, where you can enter the results of your own investigation and find the values for all the ray principles and the extension of the etheric ray.
2) DEPICTION, whereby entering the a and b values of the rays, you can see the corresponding colored crystals of the pentagram application.
3) Photos that include the 35 different crystals to display when you request them in DEPICTION.
This spreadsheet includes the 4 files of basic calculations for solving problems and achieving goals:
1) EQUAL DISTANCE
This file forms the basis of the system, in which the linear relationship between the ethereal and elemental rays is calculated. For a mathematician, "Distance" is defined as the difference in position between the Start (a) and the Extension (b). The Degree of the Radius is obtained from the formula D/2, where D is the distance. The result corresponds to specific colors that represent the properties of the Ether and the elements (Earth, Fire, Water, Air). If the pentactin is exceptional, the sheet automatically detects it to avoid incorrect application.
2) CENTER OF SYMMETRY
Here, the geometric center between two points (rays) is considered. The file includes the calculation of the set of rays with respect to the center, which serves as the system's equilibrium point. Important note: The sign in the degree of the radius is not just numerical, but indicates the direction of the movement in the circular calculation.
3) REVERSE DIRECTION
This file calculates the "mirror" of a ray. Mathematically, for each elementary ray, a transformation is applied that inverts the ray vector with respect to the symmetry axis, changing its direction without changing the absolute value of the distance, allowing the finding of the complementary energy state.
All three files provide ready-made mathematical graphs of the pentactins that you can copy and paste into any file except the spreadsheet, where the fx function will be pasted.
4) Photos
It includes 35 different crystals to display when you request them on the previous sheets.
This spreadsheet includes 3 files:
1) SYNTHESIS CONVERSIONS
This tool handles the combinatorial logic of two distinct rays to find a coincidental pentactine. It is a replacement algorithm where the individual degrees (A°, B°) are combined to produce a new coordinate (Δ°) that represents the overall composition of the elements and replaces the original rays. It includes three lines of conversions so that, in addition to the simple conversion, it can accommodate calculations for total and double conversion.
2) ANALYTICAL CONVERSIONS
Specialized file for finding a coincidental pentactine. Here, the focus is on analyzing two coincidental rays, using analytical geometric methods to confirm the mathematical coincidence of the energy flows. Since we have three pairs of solutions, which we apply at will, we arrive at six different replacement options.
3) QUINTRAY INTENSITY
The calculation here concerns the "magnitude" of the pentactin (qintray). The Intensity (e) results from the sum of the distances and is used mainly in symmetrical calculations. For the mathematician, the Intensity indicates the dynamic strength of the geometric structure created. On the same sheet, it is possible to enter the mathematical notation of the quintray and have it automatically converted into algebraic correspondence notation. Attention! It does not automatically calculate for (0°, +4°, -4°) but always shows the radius when α = β as +0°, so you should replace it with the correct value.
This file is the most complex application of the system, as it examines the dynamic interaction between two rays (basic and secondary) across eight categories of quintrays and includes 8 files:
The first sheet focuses on the Quintray of Evolution and its reverse, while the next 7 sheets provide the twin for each corresponding category, maintaining the absolute coincidence of rays. In the 7 sheets of corresponding categories, the entry is made with the basic ray in the white cells and the secondary in the shaded cells. The sheets cannot protect us from the mistake of creating a twin with positive or negative direction, and we must check whether all the signs are the same to apply a reverse direction or a pentactin of evolution with the reverse.
In this calculation, the distance is no longer linear but follows a degree expansion. When the distance is doubled, the degree of the radius moves to a new "shell". For example, in elemental rays, the distance 4 corresponds to a degree of 5° and the distance 8 to 6°, following the formula (D/4) + 4 for the absolute value, preserving the sign of the direction. This file is intended for graduates of level 13 and above. We never apply this calculation to solving problems or achieving goals, and in the case of an exceptional pentactin, we even apply a pentad of evolution with its reverse.