Space Architecture of Patched Bounded Landscape
Charles R Paez Monzon - 2020 - aNatureTechnologies
- " Time exists in order that everything does not happen all at once,
and Space exists so that it does not happen to you" - Susan Sontag
- 4.1. Gon on-Ball Conducts Through the Bounded Landscape
- 4.2. Architecture of Space of the Bounded Landscape
- 4.3. Space Architecture for aFootball on PB-Landscape
4.1. Gon on-Ball Conducts Through the Bounded Landscape
Gon is on control of the ball in an arbitrary alpha point and is free to go through the bounded landscape creating a sequence of intentional skill actions on his body and on the ball conducting it around with a final destination to an omega point where he can end up the effective final action to score a goal.
- The set of _things_ is a triple: {goals,ball}
- The set of _agents_ is a singleton: {Gon}
- The set of _events_ is: {stasis, transf0, transf1, ..., transfn} = {Ball's positional-stasis, Gon's positional-change,
Ball-positional-change, ..., goal}
Gon has to develop a set of actions or intentional skills to execute on himself and on the ball in the landscape as shown in the animation of Figure 4.1.
Each Gon’s positional change is a movement that can be classified as {standing, walking, jogging, running} to qualify the velocity and acceleration of Gon’s position from point p to gain point o in bounded space and keep control of the ball.
The cognitive lessons that Gon acquiered were that
- the main static reference of aFICS are the goals and,
- the main dynamic references of aFICS is the ball location and the direction of movement
- the main objective is the effective contralateral action with which Gon scores the goal
In his perception of the events in the landscape he must have these lessons into account but mainly the recall of the AcEmFC trainer that he must finally conduct the ball in contralateral direction and to execute an end-up effective contralateral action to score.
Gon needs a model of the bounded landscape that guides his decision making in any point in the environment when he is off- ball or on-ball control. But, Gon now knows that he has to do an huge effort because all that space-time is created and happen on only himself. He needs team mates to do it one and again and again in order to have simultaneity and sequentiality of events and that the action be distributed between all agent in the boundade landscape. Now on, Gon knows that he is constrained to be in the on-ball state and that most of the time he will be in the off-ball state. That he must concentrate on how and where to move and when he must be focus to get control of the ball and decide how to play or which is the best action to decide 1.
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4.2. Architecture of Space of the Bounded Landscape
4.2.1. The Patched Bounded Landscape
In aFootball our perspective of the game is in spatial-temporal terms. This view yields us to state that there is an architecture of the football game in the bounded landscape. This architecture of aFICS in the bounded landscape is all about creating space guided by affordances and coming into space in coherence with his actions.
Therefore, a main idea of strategy to play football in the bounded playground is about organizing space. A spatial practice in geolocalization, as in aFICS for football, to be analysed would be in terms of:
- the static framed bounded landscape or the aPBLandscape and,
- the teams’ dynamics as Football Flow
Gon needs a model of the patched bounded landscape that guides his decision making in any point in the environment when he is off-ball or on-ball control. But, Gon now knows that he has to do an huge effort because all that space-time is created sequentially but all happen on only himself.
This model must take into account all spatial reference that Gon has acquiered from exploring the bounded landscape.
- Gon knows the difference in scale about the near by and the far away
- Gon knows the difference between the ** core area, the inner area and the outter area**
- Gon knows which directions of movement of the ball and of his body are in sidewayness or counter-sydewayness.
Let us analyze the framed bounded landscape aBLandscape as the common reference for spatial practice of football.
4.2.2. Spatial Relations of Patches
Patches are circles, semicircular sectors and circunferences subspaces. They exhibit spatial relationships, like n- adjecency - between subspaces and their concatenation as set of subspaces constitute the spatial organization of the patched bounded landscape aPBLandscape in the aFootball Universe whose inside is bounded by a perimeter and the perimeter is conformed by a lateral and counter-lateral arcs and the inside by an outter, an inner and a core subspaces as shown in Figures 4.3. and 4.4.
The aPBLandscape is organizaed in two halves, own half and opponent half, each one asociated to a goal object Each half is sub-organized into nine patches. In total, The bounded landscape has a perimeter of the proto-aFootball field. There is an inside. When the ball goes trhough the perimeter we use two code words to identify in which perimeter sublane the game is re-assumed. {18} for contralateral sublane clsl reposition and {19} for lateral sublane lsl reposition. There are eighteen patches with id_code in the range (00..08,09,..,17). The inner subspace contains the patches subset {05,06,07,08,14,15,16,17}. The outter subspace contains the patches subset {00,01,02,03,04,9,10,11,12,13}. Table 4.1. summarizes the set of spatial relations between patches in the organization of the patched bounded landscape.
Table 4.1.Spatial Relations in Organized Patched Bounded Landscape
|pid|wholeU| HF|subspace| 0-neighbor | 1-neighbors | 2-neighbors | 3-neighbors |4-neighbor|5-ne| |—|——|—|——–|————-|——————-|————————-|—————-|———-|—-|
| 00 | inside | own | outter | {18} | {01,02,05} | {03,04,06,07,08} | {12,13,15,16,17} | {10,11,14} | {09} |
| 01 | inside | own | outter | {18,19} | {00,03,05,06} | {02,07,08,13,16,17} | {04,11,14,15,17} | {09,10,12} | {09} |
| 02 | inside | own | outter | {18,19} | {00,04,05,07} | {01,06,08,12,15,17} | {03,10,14,16,18} | {09,11,13} | {09} |
| 03 | inside | own | outter | {18} | {01,06,13,16} | {00,05,08,11,14,17} | {02,07,09,14,15} | {04,10} | {12} |
| 04 | inside | own | outter | {18} | {02,07,12,15} | {00,05,08,10,14,17} | {01,06,09,14,16} | {03,11} | {13} |
| 05 | inside | own | inner | {} | {00,01,02,06,07,08} | {03,04,15,16,17} | {10,11,12,13,14} | {09} | {} |
| 06 | inside | own | inner | {} | {01,03,05,08,16} | {00,02,07,11,13,14,17} | {04,09,10,15} | {12} | {} |
| 07 | inside | own | inner | {} | {02,04,05,08,15} | {00,01,06,10,12,14,17} | {03,09,11,16} | {13} | {} |
| 08 | inside | own | inner | {} | {05,06,07,17} | {00,01,02,03,04,14,15,16} | {09,10,11,12,13} | {} | {} |
| 09 | inside | opp | outter | {18} | {10,11,14} | {12,13,15,16,17} | {03,04,06,07,08} | {01,02,05} | {00} |
| 10 | inside | opp | outter | {18,19} | {09,12,14,15} | {11,16,17,04,07,08} | {13,02,05,06,08} | {00,01,03} | {00} |
| 11 | inside | opp | outter | {18,19} | {09,13,14,16} | {10,15,17,03,06,08} | {10,00,04,06,07} | {00,02,04} | {00} |
| 12 | inside | opp | outter | {19} | {10,15,04,07} | {09,14,17,02,05,08} | {11,16,00,05,06} | {13,01} | {03} |
| 13 | inside | opp | outter | {19} | {11,16,03,06} | {09,14,17,01,05,08} | {10,15,00,05,07} | {12,02} | {04} |
| 14 | inside | opp | inner | {} | {09,10,11,15,16,17} | {12,13,06,07,08} | {01,02,03,04,05} | {00} | {} |
| 15 | inside | opp | inner | {} | {10,12,14,17,07} | {09,11,16,02,04,05,08} | {13,00,01,06} | {03} | {} |
| 16 | inside | opp | inner | {} | {11,13,14,17,06} | {09,10,15,01,03,05,08} | {12,00,02,07} | {04} | {} |
| 17 | inside | opp | inner | {} | {14,15,16,08} | {09,10,11,12,13,05,06} | {00,01,02,03,04} | {} | {} |
| 18 | perims | own | periss | {00,01,02} | { } | { } | { } | { } | {} |
| 19 | perims | opp | periss | {09,10,11} | { } | { } | { } | { } | {} |
| 20 | perims | opp | periss | {01,03,13,11} | { } | { } | { } | { } | {} |
| 21 | perims | opp | periss | {02,04,12,15} | { } | { } | { } | { } | {} |
Alternative views of the organization of the patched bounded landscape are shown in Figure 4.5. for 1-neighborhoods and in Figure 4.6. for team halves.
4.3. Space Architecture for aFootball on PB-Landscape
The organization of space reveals the existence of a terrain hierarchy in the patched bounded landscape that invites to responds with tasks propers of an organic aFootball strategy. One in which a core-modulus is positional set up in order to play in the inner subspace and with a larger membrane-modulus positional set up. One in a kind of convex closure of a shape that contains all outter patches. It is the convex hull, a geometric concept that emerges from the space architecture as complexity of the landscape. An invitation to move and play the ball in this convex hull that currently separates inner and outter subspaces.
All these relational organizations of space into subspaces and the Figure 4.7. that shows the shortest path patch relationships constitute the architecture of space of the patched, bounded landscape PB_Landscape.
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