# Neutral is Antipodal

Neu•tral is always twisted antipodal by enantiodromia, in order to see both balanced sides of truth.

Neu•tron (German: 'Neu' = 'New') The appearance & experience of sin(+/-)e in transmission.

## Definition of Enantiodromia

“Enantiodromia (Ancient Greek: ἐνάντιος,, translit. enantios – opposite and δρόμος, dromos – running course) is a principle introduced by psychiatrist Carl Jung that the superabundance of any force inevitably produces its opposite. It is similar to the principle of equilibrium in the natural world, in that any extreme is opposed by the system in order to restore balance. When things get to their extreme, they turn into their opposite. However, in Jungian terms, a thing psychically transmogrifies into its shadow opposite, in the repression of psychic forces that are thereby cathected into something powerful and threatening. This can be anticipated as well in the principles of traditional Chinese religion – as in Taoism and yin-yang.” Source: https://en.m.wikipedia.org/wiki/Enantiodromia

## Definition of antipodal

**1: **of or relating to the **antipodes**; specifically: situated at the opposite side of the earth or moon.

- antipodal meridian<

**2: **diametrically opposite

- an antipodal point on a sphere

**3: **entirely opposed

- a system antipodal to democracy

Source: https://www.merriam-webster.com/dictionary/antipodal

## Antipodal point

From Wikipedia, the free encyclopedia

For the geographical **antipodal point** of a place on Earth, see antipodes.

Antipodal points on a circle are 180 degrees apart.

In mathematics, the **antipodal point** of a point on the surface of a sphere is the point which is diametrically opposite to it — so situated that a line drawn from the one to the other passes through the center of the sphere and forms a true diameter.[1]

This term applies to opposite points on a circle or any n-sphere.

An antipodal point is sometimes called an **antipode**, a back-formation from the Greek loan word *antipodes*, which originally meant “opposite the feet.”

### Theory

In mathematics, the concept of *antipodal points* is generalized to spheres of any dimension: two points on the sphere are antipodal if they are opposite *through the center*; for example, taking the center as origin, they are points with related vectors **v** and −**v**. On a circle, such points are also called **diametrically opposite**. In other words, each line through the center intersects the sphere in two points, one for each ray out from the center, and these two points are antipodal.

The Borsuk–Ulam theorem is a result from algebraic topology dealing with such pairs of points. It says that any continuous function from *S*^{n} to **R**^{n} maps some pair of antipodal points in *S*^{n} to the same point in **R**^{n}. Here, *S*^{n} denotes the *n*-dimensional sphere in (*n* + 1)-dimensional space (so the “ordinary” sphere is *S*^{2} and a circle is *S*^{1}).

The **antipodal map** *A* : *S*^{n} → *S*^{n}, defined by *A*(*x*) = −*x*, sends every point on the sphere to its antipodal point. It is homotopic to the identity map if *n* is odd, and its degree is (−1)^{n+1}.

If one wants to consider antipodal points as identified, one passes to projective space (see also projective Hilbert space, for this idea as applied in quantum mechanics).

### Antipodal pair of points on a convex polygon

An antipodal pair of a convex polygon is a pair of 2 points admitting 2 infinite parallel lines being tangent to both points included in the antipodal without crossing any other line of the convex polygon.