**C _{5}**

**Tetraedral Pyramid**

*Pentatope, Pentachoron, Pentahedroid*

*2nd order projections of a 4th order dimensional model*

**“Quaternions”***2 symmetric positions in the X axis,with 2 symmetric positions in the Y axisand another 2 symmetric positions in the Z axis*

(that conforms one single 3rd order dimensional projection)

8 Dimensions

**Are beeing projected to****another 2 different symetric positions in the L-R axiswith another 2 different symmetric positions in the M-S axis**

(making one single 2nd order dimensional projection)

4 Dimensions

*and together projected again to**one single position in the center a singularity*

(which creates a single 1st order dimensional projection

2.1 Dimensions

** **

is a 1st order projection

from a 2nd order projection

enclosed into a 3rd order dimensional model

(1D enclosed on 2D, together enclosed on 3D.)

This configuration theoretically

could be a 6th order dimensional model

where some of the dimensions where reduced to

0 **That’s a Tesseract **

when you project it from the 2nd order **The Configuration Matrix **

is

*C _{8}Tesseract*

*2nd order projection of 4th order dimensional model*

**“**

*Quaternions*“

That’s

**a 4th order **

dimensional model,

under a **2nd order** projection

it has the shape of

**C _{8} **

**also know as Tesseract**

(

**Octahedroid or Tetracube**)

**The Tesseract**

is a 4th order projection from “

**The Pentaract**“,

which is a 5th order projection from

**“The Hexaract”**,

wich is a 6th order projection from

**“The Heptaract”**etc…

This configuration

could be symmetrically

reduced or expanded, decoded or encoded

into any order of dimensional model

of any order and projection.

**The Protocol**

stablishes a model based in

**The Cosmos**,

**The Cosmo**s can be expanded or compressed

into any order of dimensional projections

keeping the symmetric relationships

over the different projections.

This will open nowadays limitations,

adding the possibility of bidirectional encoding

from and to any 3rd order dimensional projection

from any kind of configuration in and to any further

or previous dimensional model

or Ascension / Elevation

**( nD = x**

^{n})**The Pentaract****Truncated Hyperpyramidal Infinite Tesseract***2nd order projection from a 5th order dimensional model***“ Octonions“**

I found that** **“**The Pentaract or 5-Cube**“

is the most acurate and simplest representation we can project

over any expansion or compression cause it can act like

an infinite and also finite **Truncated** **Hyperpyramidal Tesseract ,**** **our origin is **0 **and also **+- ∞** ,

so our **singularity (1)** is the cube inside The Tesseract

but it’s also **The Source (0)** and **The Whole** **( +- ∞ )** ,

upper the 4th dimensional order we can’t define any random origin

as **The Source (0)** or the center of the symmetry.

.

We define **The Source** as **The Origin** **(0)**, **Our Singularity** **(1**) and also **The Whole** **( +- ∞ )**

*The* *Hexaract***Hyperpyramidal Infinite Tesseract**

(**TETHRAEDRAL PYRAMID) ^{TESSERA}**

^{CT}

*2nd order projection of a 6th order dimensional mode*l

**“**

*Sedenions*“**Arithmetics are one of the oldest Greek arts**,

is a branch of mathematics that consists of the study of numbers,

especially the properties of the traditional operations:

addition, subtraction,

multiplication, division,

exponentiation and extraction of roots.

The concept is based on arithmetic abstraction.

An **abstraction** is a general concept or idea,

rather than something concrete or tangible.

It’s not related to the human perception,

but its the core of any artistic expression.

Because we dont have a 3rd ear in the Y axis,

our brain needs to do a decodification based on its data

from the stored 2 parameters

during years of infinite comparisons

between the visual perception,

the ITD (interaural time difference)

and the ILD (interaural level difference).

The main problem is that values,

when emulated by algorythms

in inmersive audio

to binaural conversions,

doesnt recreate a real projection

of the original recording or signal.

These values are different for each person in this world,

the “averages” doesnt work 100%,

cause our brain is extremely precise to its own values.

How this is implemented in the processing

over the Frequency in the audio source,

the speaker configuration, the algorythms

and the user interface to control that parameters;

created the different spatial audio formats we have nowadays.

But all of them have one thing in common:

a **3rd order dimensional model **

based on psychoacoustics.