Notice: all these numbers are practical pieces to integrate infinities, normal numbers and zeroes into continuous number spaces, and not to compress your numbers with maximum tightness - Laegna can help here as well, but it’s not my current primary intent (well simply take all possible dimensions, map them to only one dimension and do not use frequential system but fractal system, where A and AA are not same but it’s growing).
Octave numbers:
For example, if you want to number octaves (where the better idea is to zoom into U and V with them, they can be attributed some numbers):
ZZ = -4 ZX = -3 ZY = -2 (X)Z = -1 (X)X = 0 (X)Y = 1 YX = 2 YY = 3 YZ = 4
In the actuality, they form rather a fractal than number systems! In all cases, you can continue this one infinitely. This is: because they are rather for other purpose, it’s hard to write them as numbers - in most simple case you can use each Z or Y for one zoom operation into your number system or out from it, and most typically you use 1-digit number; you are free to specify your specific zoom operations to use it for your comfort.
Base-1:
A = 1 AA = 2 AAA = 3 …
Base-2 (notice carefully that this is not binary system - A, AA and AAA are powers of two, not 10, 100 and 1000; this is to support frequential system of Laegna; any I or E digits will be moved, virtually, to previous digit and added there, this can be a chain effect):
OOO - 1 OOA - 2 OAO - 3 OAA - 4 AOO - 5 AOA - 6 AAO - 7 AAA - 8
The base 2:
- Unsigned form is rather one big knot, where OOO and AAA are -1 and 1, but the rest of the numbers is some complex magic of Laegna, which is introduced in the programming book, but I have to take time for this - why you need base 2 at all.
- If, for 3-digit numbers, you divide them by 4 and subtract 1, you get the smooth version of signed numbers, which is not producing such knots ..unless you look carefully haha :P
The base 4:
Signed:
EEEE = 16 EEEA = 15 EEAE = 14 EEAA = 13 EAEE = 12 EAEA = 11 EAAE = 10 EAAA = 9 AEEE = 8 AEEA = 7 AEAE = 6 AEAA = 5 AAEE = 4 AAEA = 3 AAAE = 2 AAAA = 1 OOOO = -1 OOOI = -2 OOIO = -3 OOII = -4 OIOO = -5 OIOI = -6 OIIO = -7 OIII = -8 IOOO = -9 IOOI = -10 IOIO = -11 IOII = -12 IIOO = -13 IIOI = -14 IIIO = -15 IIII = -16
Unsigned:
II = 1 IO = 2 IA = 3 IE = 4 OI = 5 OO = 6 OA = 7 OE = 8 AI = 9 AO = 10 AA = 11 AE = 12 EI = 13 EO = 14 EA = 15 EE = 16
Digit representation of base 4:
E = AA A = AO O = OA I = OO
Digit representation of base 8:
Unsigned 9: from top, back to bottom (circle forward) * Unsigned 9 can also mean the whole 48 (5 to 8) group of numbers * such as center or random number of them. Acceleration: 8 = EAA; acceleration = E 7 = EAO; acceleration = A Neutral acceleration (signed 0) * It's either any of numbers in this group, or normally 7 or 6. 6 = EOA; acceleration = O 5 = EOO; acceleration = I Outer acceleration (signed 9) * Normally 8 or 5. Velocity: 4 = IAA; velocity = E 3 = IAO; velocity = A Neutral velocity (signed 0) * Any member, or normally 3 or 2. 2 = IOA; velocity = O 1 = IOO; velocity = I Outer velocity (signed 9) * Normally 4 or 1. Unsigned 0: from bottom, back to top (circle backwards) * Unsigned 0 can also mean the whole 14 (1 to 4) group of numbers * such as center or random number of them.
Complex number (where it’s defined by OPQR axe, which is mentioned in case of configuration):
O: T=A; R=I P: T=O; R=O Q: T=I; R=A R: T=E; R=E
Complex number shape:
- When it’s outwards, inwards, upwards, downwards positioned from other digits:
- It’s always inversed.
- The number order fits the criteria of inversing and reversing - result is the number with same shape.
Den
O: -1 A: 1
Den (R, T)
R = O => R = -1 R = A => R = 1 T = O => T = -1 T = A => T = 1
Ponegative numbers
Polar ponegative, might be associated with polar numbers: I Negotion; Dens: OO O Negation; Dens: OA A Position; Dens: AO E Posetion; Dens: AA - Polar: it creates a number circle, and on the poles there is ice! Linear ponegative, might be associated with linear numbers: I Negotion; Dens: OO O Posetion; Dens: OA A Negation; Dens: AO E Position; Dens: AA - Linear: it grows in the same direction indefinitely, so it rather looks a little like binary. Notice that if both numbers have the same primary Dens at same number position, they are not at the same ponegative position. In complex numbers, typically, ponegation is made with the same real numbers, not the same complex value. This is at least how I do it, because why to invert at all if I then would start to reduce this operation with other calibrations :)
Even-odd complex numbers:
Even-odd complex numbers are made of RT pairs, either separated by space, color or number position (herein): Decimal system: two decimal digits for each, between 1 and 8 (18) Decimal system: two decimal digits for each, between 14 48 - first digit between 1 and 4, second between 5 and 8; 48 might be in real or complex order. Dens and base 2: two digits for each; Den usually knows R and T very precisely. Reals: two digits of IE can be used for each group, projected to real and imaginary axe, but the second group is not inversed in any way. Complexes: one digit of IE followed by one digit of OR in each group. Example complex numbers: 47584393 - long decimal complex, with 18 on both positions 63817352 - short decimal complex, with 14 and 48 on separate positions AEEAOIAE - real complex OARAQIPO - imag/real complex
Complex matrix numbers:
These digits are two-dimensional at base 4 (* 4) - base OIRE: EFGH ABCD OPQR IJKL These digits are two-dimensional at base 2 (* 2), and rather bigger than last group: ST MN These digits are two-dimensional at base 3 * 3 - base ZY^2: 123 456 789 - move this group up, and the last column to beginning, for signed number. Additionally, U and V for Laegna complex and 0 and 9 for Latin complex: * Are used to access the ZY coordinate systems; numeric value is given in odd systems, but notice it does not change the order much and enters into one of two possible positions typically; if you program it later you might be better off.
U and V, 0 and 9:
Initially, define them as taking the averages: - For signed number, U is in the middle and V is in the end, where U connects inwards and V connects outwards. - For unsigned numbers, U is in the beginning and V is in the end, where U connects circle / wheel backwards, V connects it frontwards, effectively turning it to a wheel, either moving in Z circles (evolution, logic sometimes appears), standing in X (ration, logic rather is constantly there), accelerating in Y (logic of X looks like evolutionary phase when zooming to Y). At each position of U or V, you create a random selection, where you don't know which: - To create a zero-based number, take an average of those randomizations to cancel the random factor, this equals to taking zeroes one octave down but you still have the randoms. - Use space or another character to denote if each number is random. U and V for complex numbers: - Both axes are random at that position, for example U might be any number in the interior of both dimensions, where V can be the exterior. For example, given NMST is two-dimensional base-2 matrix, for base 2 U exist, but not V; given this matrix: U simply means random number chosen from any of the four. If you write complexes with 2 digits or U's with more digits, you can be more specific and separate the axes.
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