017 Spatial Syntax Part 06 - 6x6 Grid Form

Interested in how the configurational properties of integration is affected by closing and opening the central section of the partitions. By taking a 6x6 grid form, with the calculation of depth values, within each cell. It seems that corner cells have more depth, center edges are less which then gets less towards the center. 

If we eliminated the boundary of the shape, then the Total Depth for all cells would be the same, since starting from each and counting outwards until we have covered all cells. This means by implying that the central value is 0, the rest would correlate outwards in the small cell calculation and steps used for each individual. By demostrating this strategy, this imposes the difference between cell relations. By excluding the external boundary, this outside region would be treated as an element in the system. The new calculations would indicate the simple difference. 

If internal barring was to be placed, this would increase the Total Depth for some cells, depending on the layout. It will have the effect of making certain trips from cell to cell longer. The extra depth created by bars will vary with the location of the bar in relation to the boundary. For example, by taking the 6x6 shape, the Total Depth is calculated as 5040, however by introducing the partition in the leftnest horizontal location, the Total Depth equals to 5060, an additional 20 steps of depth difference. 

Hows does this happen? All the ‘Depth Gain’ in the 6x6 shape is on the line in which the bar is located. Depth Gain happens when a shortest route from one cell to another requires a de-tour to an adjacent line. By changing the bar at different point on the line changes the pattern of Depth Gain for the cells along the line. It seems that the Depth Gain values of individual cells will become more similar to each other as the bar moves from the edge to the center. The bar follows to the edge, the Depth Gain will be maximized. Therefore with a central location maximizes Depth Gain but minimizes differences in a highly significant property. 

Elementary objects as configurational strategies: 

The understanding of opening and closing partitions governs specific types of spatial moves, such as corridors, courts or wells. Wells are zones within a complex which are inaccessible from the complex and therefore not part of the spatial structure of complex.  This block is an arrangement of bars in a way to form a complete enclosure, so that in a 6x6 cube, one or more selected cells is completely separated from the rest of the spatial syste,. Therefore, this is seen as the elimination of cells from the spatial system. 

Here are two possible cases:

Here shows four possible location using two possible shapes with a use of four cells.

1. The 2x2 block has much less Depth Gain in the center location than periphiral locations. The Depth Gain effects from changes of shape are much greater than it’s location change. The compact 2x2 has much less Depth Gain than the linear 4x1 forms and the linear forms have Depth Gain in central location than periphiral location. We may note that the Depth Gain effects from changes of shape are much greater than those from changed of location. 

It is clear that in this way, we can calculate the Depth Gain effects of any internal block of any shape.

2. Another important integer is when the block is placed at the edge of the complex. The reason for this being important cause these blocks are not seen as well no more but changes in the shape of the envelope in the complex. It is clear that we can treat changes in the external envelope of the complex in the exact way as interior 'holes'.

We can know reverse this closed block theory, by replacing a closed well, with courts and corridors. This will start to collect cells and merge them together to create one big open cell. Longer open space's in the complex are created by eliminating the two third partitions and in effect turning the neighbouring spaces into a single space. 

These figures here is the translation of the figures above. The blocks shown have been substituted into open space. Here the values have been concentrated on the depth loss. The depth loss for the longer space is calculated by substituting the new value with values in the original form and adding them together. The value inside the new shape is always a content no matter its location. 

By observing these figures, it is seen that a centrally placed open square is more integrating i.e. has less total depth in itself than a peripherally placed and that a linear form will be more integrating than a compact form. These effect are exactly the inverse of the first figures of the based block diagrams.

In the final two figures, the open cell spaces are as two two-cell spaces rather than a single four cell space. This shows that contiguously joined spaces will always create more integration than a comparable number of discrete spaces. Therefore more combined space, more the floor will be integrated. 

.More centrally for longer space, more integration

.More extended lines for longer spaces, more integration

.More continuity of larger spaces, more integration

.More linearity of longer spaces, more integrtion