Convexity

This is an article about a location in Crossroads of Destiny.

"Convexity" is a location of unknown whereabouts seen in Crossroads of Destiny. It is said to be the place where the destinies of Planet Cray and "Planet E" join together, forming the conduit through which energy flows between worlds. (I say "unknown whereabouts" here because different seasons of the Cardfight!! Vanguard anime share different statements regarding this place. Convexity is a collective term regarding all these places and attempts to treat them as one place.)

In Cardfight!! Vanguard G

 * Main article: 

In this series, the Stride Gate is said by to be the place where the space-time of Cray and Earth come together. The Stride Gate is overseen by the twelve and controls the flow of the force of destiny between the two worlds. It can be said to be a regulator of said force of destiny, ensuring that both worlds are a mixture of fortune and misfortune.

In the Manga and V Series
In both the manga and the V Series anime inspired by it, Earth's Moon is said to be the conduit between Cray and Earth, through which the force of destiny flows. Here, and the  engage in a Cardfight to determine the destiny of Cray, and, thus, Vanguard.

In Crossroads of Destiny
Convexity is located in an unknown space, and is a mixture of sorts between Convexity as described in Stride Gate and the V Series. In Crossroads of Destiny, first Destiny, then Reiji Midorihara, and later Makoto Sakaki fight Rex Kido in a series of Cardfights to defend the balance of destiny between Cray and Earth, as Rex intends to use the Messiah's Power of Creation to tilt the force of destiny in favor of Earth. Likewise, their avatars also appear and begin to do battle, much like in the previously mentioned fights.

Description
The force of destiny as seen in Convexity can be described as a rainbow flowing around, across, and through the space. This occurs when there is a balance in the force of destiny between worlds. If there is an imbalance, one color dominates over the others depending on the type of destiny flowing through the conduit. If the force of destiny would be severed, as in the end of Vanguard G, after the defeat of Gyze, the flow would have a black color and a sickly appearance, almost as if death itself was flowing through the conduit.

The surrounding space can be described as appearing like a temple, with the force of destiny flowing all around and through it. Some of Cray's units, the very few who are aware of this location's existence, believe that lives here and from here, guides the force of destiny flowing through the space.