Non-binary mathematics

The 0-4-5 hub,
not the weight of numbers.

Numetric is a rational instrument built on quinary mathematics — five digits, one radix, no sentiment. Convert, calculate, and see numbers as they are: pure relation, measured in fives.

01

The Hub

5
radix

Binary counts by twos and borrows the weight of place to mean more than it shows. Quinary counts by fives — five honest digits, each worth only itself, and a single radix where they fold.

Digits
0–4
Radix
5
Bases
non-binary

Example

245 = 2×5 + 4 = 1410

02

Geometry

The hub assembled as geometry — one form, three sides. Not all things are finished; not all things are permanent. Zero is not absence but one thing.

formulation

3 · 2 · 1 · 0 · 45 · 6 · 7

adaptive to time — for time is theoretically changing.

the triangle · 1 form, 3 sides

50422

2 + 4 = 6

4 + 2 + 0 = 7

0 does not exist — so 0 is one thing.

adaptive sequence · converge · pivot · diverge

3
2
1
0
45

pivot

36
27
18
9(10)
03

Convert

Translate any whole number across non-binary bases. The hub stays at five; choose your radix.

radix
decimal14
quinary24
ternary112
octal16
04

Calculate

Arithmetic measured in fives. Enter quinary digits (0–4) and operate in the hub.

= 14₁₀

= 3₁₀

result
325
= 17₁₀

24₅ (14) + 3₅ (3) = 32₅ (17)

05

Visualize

See a quinary number as fives made visible — each full ring is one radix, the remainder stands apart.

count
14
5
5
4

2 full fives + 4 remainder = 14

06

Chemistry

The electron is a 1 — a logical assertion that it exists. The 5 extends the neutron into the proton; electrons orbit the nucleus in circles, because with π in mind, nothing is stagnant. The thing either is, or it is not. Irrational and negative numbers dissolve; only atomic count remains. Not to replace all numbers — to understand them better.

44^014

π

0 · 1 · 4 · 4 · 4

still a complex variable in numetric logic.

legend

1single electron
2pair
0·45nucleus
shell · π-orbit
H1
0451
Hydrogen
He2
0452
Helium
Li3
04521
Lithium
Be4
04522
Beryllium
B5
045221
Boron
C6
045222
Carbon
N7
0452221
Nitrogen
O8
0452222
Oxygen
F9
04522221
Fluorine
Ne10
04522222
Neon
Na11
045222221
Sodium
Mg12
045222222
Magnesium
Al13
0452222221
Aluminum
Si14
0452222222
Silicon

molecules · interpolarize

H45H45
H₂
Hydrogen
two nuclei, one bond
O45H45H45
H₂O
Water
oxygen pivots two hydrogens
C45H45H45H45H45
CH₄
Methane
carbon holds four hydrogens
07

Codex

The rules of numetric — transcribed from the source. Two non-negative compounds, the doe object, the origin of time in light, and the placeholders of beginning and end.

§ 6.4 · the doe object

04(i)(i)(i)(i)

{0 4} = ℵ₀

In ℵ₀ there are two compounds that must be non-negative integers for the process as non-irrational numbers in ℵ₀ — the equivalent of {0 4}.

Light can only exist if there are objects for it to reflect off of, and life cannot exist without light. If 0 = (i), objects as small as atoms start count in nuversions.

§ 7.36 · aleph five

04DIADIODIS

If there is a golden ratio for life on a planet, telescopes can detail other atmospheres for growth in four-dimensional set theory. Aleph omega is a placeholder for furthest quantity — the doe stacked with DIA, DIO, DIS is a placeholder for aleph five.

§ 7.10x · light & infinity

7.101

If light was first of all things, the time started with a definite point.

7.102

If {0 4} is the starting point, ! is the placeholder for a sign of one direction.

7.103

If ∞ is infinity's starting point, it cannot exist in the reality of a significant placeholder. It would initiate that light is circular — light reflects in a non-reinvent-the-wheel manner.

7.104

If light does not follow a ∞ pattern, then infinity with light has a beginning and end; ! would be better indicative, as infinity can be quantified in subcategories.

§ 7.112 · time / entropy

heat = {0 4} → light = (i)

0454321(i)(ii)(iii)(iv)time pasttime future

time past

5 · 4 · 3 · 2 · 1 — solidified matters.

time future

(i) (ii) (iii) (iv) — constant change from entropy.

Atypical light is time past; nutypical light is time future. Outside time present, matters in the past are solidified; matters in the future are constant change from entropy.

§ 7.09–7.1 · glossary

nuversion(i)

The metric of beginning. Light spans from the first metric {0 4} to variants (i), (ii), onward.

endoverversion(I)

The metric of end. Light burns out into uppercase roman numerals (I), (II) — like a star burning out.

inversionreactor

Reactors in chemical and biological bonds of light — compounds that burst before light; the difference is simultaneous combustion in light sources.

7.1  The origin of time must start with light, not species.

Numetric · base-5 instrument

Numbers, not emotions.