For instance it can be thought that Topology is only about objects and geometry concepts (being rather the opposite, Geometry is about some kind of topological objects). Side less in many cases its impossible to give an idea of how to manage the interpretation of the Topology problems, or even some concepts. The Topology also feed large concepts where inspiration comes from the inside of Mathematic Analysis. This means almost every concepts and ideas of this area are Topological concepts and ideas; and its here where the Topology ceases to be a simple Mathematical game, to become on the applicable logic system that can be conceptualized in the Tectonic analysis, evolution, animation, interconnectivity, relation, etc. The knowledge Topology deletes any idea about static, or in best of the case, can be turn from any static system to a dynamic system.
The Topology can have an endless number of applications that introduce the possibility to develop tools and also process of analysis in change of a constant evolution; due to the ability of limitation and the flexibly, in which the objects have to explore; with the capacity to have an unrecognizable genetic on a simple view; because the process of change is that they are constantly subjected without losing its parameters.
1.1 Tectonic Applications. In a more dramatic sense of the word, it could be call the Topology of the Mutations; because it can be explored in this way the morphology possibilities of the tectonic and their dynamic applications; as well in the mechanic and elasticity that can produce animated transformations and their possible constants of variables. “The Shape without Shape”, it is a concept that is not focus in the ends of the result, and also as research of the process like a manual in where its explained the entities to discuss, if not to the constant used for these to be applied. The Topology applied in the tectonic can be focus to explore Topology Spaces that can produce changes on a morphologic in the structure; but also in the same time can not lose their character by the limit concept that handles the Topology, ready to adapt in real time, animated, as device open to tectonic loops loaded to space and time.
1.2 Prototyping Applications (Evolutions and Animations). The conjunct and the sub conjunct are a collateral effect that produces the condition of continuity and limit: both conditions are developed at the full time line in transformation and variations constants, that if frozen on fragment of the continuity in the limit, it can be to access an entity library that is interconnected with loops of time and space.
The Topology can be an application for prototyping in two ways: one can be thinking in the parameterization of the Topology and their family as an entities conceptualizing from the individuality of pieces. This concept were used for other Proto-geometric like the Fractals, but the Topology have the independence on a particular understanding the concept of limit, but not as an end, if not to the idea to bring the Mutation and the evolution transition in the ends of the object without lose it established Mathematic conditions; not like the beginning of the shape, thinking it more as like a rule. Taking it to determine the end of the beginning, like a loop, as these have not vector conditions, they have more kinetic condition. The second can be to develop entities with a mayor level of complexity; where can it be focus animation entity. This is a type of Parametrización itself, where the only constants are the Topology condition that is part of itself. Animated Architecture with a change on logics with a specific proposal. Opening a world can disappear the idea of perpetuation of the shape, and begins to the process of adaptive animation.
1.3 Interconnectivity Applications. (Relation and Programs). The Topology can be applied in the exploration of systems that can be used for different needs. With one logic that shows the individuality of the ideas and not like the only solution for different problems. Adaptive animations can be revolutionary concepts, because the possibilities can change itself, in the exploration of programs that uses not only the space but also the time. Programs really animated, that can be transformed in long of the time and their tectonics is manifests for this fluctuating constants that are the subject.
But the above can be applied in uses to think in a mutation of the programs that can be a new way to simulate combination of programs and explore their behaviours. Simulated and their fusion programs like the loops, can be a new way to explore the programs as parametric and their combination possibility, that also can be produce programs that never will be thinking in fusion and determined new ways for manifest of a gamma of environments to change these. And it is here where the relationship begins to change and Mutate showing new interconnectivity systems and new assembly nodes of these fluctuant networks of information that have the condition of the constant flow.
The Topology it’s an open system that offers a dialog in all topics. Not like a solution of problems but more as a tool without radicalization, like a tool for developing adaptability. Topology teaching system can be really dynamic a continues, holder of a variability that is defined for parameters loaded on interconnected information with the time and space.
The Topology teaches to work the space in a Topological way. Leaving on aside the perpetuation of the space, like a mystic container, turning the development of fluctuant dynamics that can be manifested randomly without their information. Holding a latent change in dynamics, that can develop devices that will become manifest with the time. Not in a metaphysical way but instead a physical science.
The need to have variants in the system makes to explore the executions of load devices of information in real time; dynamics and animated, that can be operating on a world with constant information and the transformation for itself. Answers for systems that were impossible.
The Topology shows us that it can be transformed without ceasing. That it is now if they will be same, although their structure say the contrary, blurry the myths and focus on the possibility of the dynamic systems from their continuity and also their execution limits.