Packet Category Comparison Matrix¶
Engineering Reference for Packet Categories
Overview¶
REVA v4.0 organizes packet families into mathematical categories.
Each category produces characteristic waveform geometries.
This page provides a quick comparison between available categories.
Comparison Matrix¶
| Category | Symmetry | Density | Growth Model | Predictability | Typical Geometry |
|---|---|---|---|---|---|
| Harmonic | High | High | Linear | High | Periodic |
| Subharmonic | High | Medium | Linear | High | Expanded Periodic |
| Octave | High | Medium | Binary | High | Hierarchical |
| Odd / Even | Medium | Medium | Integer | High | Structured |
| Fibonacci | Low | Medium | Recursive | Medium | Expanding |
| Lucas | Low | Medium | Recursive | Medium | Expanding |
| Golden Ratio | Medium | Medium | Geometric | Medium | Self-Similar |
| Prime | Low | Low | Non-Linear | Low | Irregular |
Harmonic¶
Based on integer-ratio relationships.
Examples:
1
2
3
4
6
8
12
16
Characteristics:
- highly structured,
- highly repeatable,
- strong symmetry.
Subharmonic¶
Based on fractional relationships relative to a fundamental structure.
Characteristics:
- expanded timing,
- lower density,
- periodic behavior.
Octave¶
Based on powers of two.
Examples:
1
2
4
8
16
32
Characteristics:
- binary scaling,
- hierarchical organization,
- strong self-similarity.
Odd / Even¶
Based on selective use of odd or even integer relationships.
Examples:
Odd
1
3
5
7
9
Even
2
4
6
8
10
Characteristics:
- structured asymmetry,
- controlled spacing,
- predictable geometry.
Fibonacci¶
Based on recursive growth.
Examples:
1
1
2
3
5
8
13
21
Characteristics:
- progressive expansion,
- low symmetry,
- natural growth behavior.
Lucas¶
Closely related to Fibonacci structures.
Examples:
2
1
3
4
7
11
18
29
Characteristics:
- recursive expansion,
- Fibonacci-like behavior,
- alternative scaling relationships.
Golden Ratio¶
Based on:
$$ \phi = 1.6180339887... $$
Characteristics:
- proportional growth,
- self-similarity,
- geometric scaling.
Prime¶
Based on prime number relationships.
Examples:
2
3
5
7
11
13
17
19
Characteristics:
- irregular spacing,
- reduced symmetry,
- non-periodic geometry.
Selection Guidelines¶
| Goal | Recommended Category |
|---|---|
| Maximum Symmetry | Harmonic |
| Binary Structures | Octave |
| Recursive Growth | Fibonacci |
| Fibonacci Alternative | Lucas |
| Geometric Scaling | Golden Ratio |
| Irregular Timing | Prime |
| Expanded Harmonics | Subharmonic |
| Integer Separation | Odd / Even |
Engineering Perspective¶
Packet categories define waveform geometry.
They do not define:
- carrier frequency,
- pulse width,
- output voltage,
- output power.
Those characteristics are determined elsewhere within the REVA architecture.