Description:
First, I think that it is important to set a common vocabulary in order to avoid misinterpretations, therefore this will be the language used for referring to land units:
Districts: a conglomerate of hexagonal “squares”
Squares/Block/Apples (in this case of hexagonal shape): a conglomerate of parcels
Parcels: the smallest land unit
Following my two previous posts #2 #6 I have received some concerns on how to divide in equal parts the blocks, preferably in a sort of grid-like manner, because it was too complicated (I don’t know if impossible) to have it divided in irregular-shape parcels such as the ones in my designs.
The whole search for a hexagonal block was justified in my first post, one of the main factors being that is contributes to a centralized arrangement which can contribute to the agglomeration according to content, for example one block and bring together people which specializes on music, another with artists, etc., creating mini-hubs. The conglomerate of several blocks form districts, which in the case will be multi-centric resulting in a rich agglomeration.
Referring also to my first post #2 there was this image, with an approach on how could the hexagons be divided:
From those options I chose to stay with the trapezoidal shape, as it seemed the friendliest when it comes to placing a building, it also contributes with the concentricity of the hexagonal shape, whereas the diamond and triangular divisions creates acute angles which I tried to avoid. I also searched for the possibility of arriving to a division of parcels that followed the dimensions of 10mx10m.
Some days ago, Agos, in the search for a regular grid, shared that the hexagons could be divided in three diamonds and those could be divided in smaller ones, creating a diamond-grid, resurfacing the issue of finding regularity and leading to a reevaluation of why I discarded that option. Therefore, based on her approach of a diamond grid, I dug deeper that before into the matter and this are my findings.
Factors I had in consideration:
to guarantee that each parcel has 100m2.
to guarantee that each parcel has the space for a 10mx10m squared “tile” of 100m2, which is the size of land sold in the token sale.
to provide with an extra space to compensate for public roads and still have 100m2 free of land in the parcel, this extra space will encourage land owners to keep the existent and proposed roads.
to find a grid shape that holds relation to the block shape and that it contributes with the whole centrality approach.
to find a shape that is easy to build on and guarantees comfortable 90-degree angles.
This wasn’t a one-way research but a result of multiples iterations. The aim was to find the most efficient shape that could hold all the factors mentioned before while minimizing the extra land needed. On the one hand, a trapezoid of 173m2 gives the chance of be divided into three equilateral triangles (and maybe this helps in the mathematics of its implementation). It also guarantees a space of 115m2 with 90-degree angles and therefore the tile of 10mx10m. What is more, that same shape allows for a perimetric road of 1,4m width without losing the 100m2 land.
On the other hand, the diamond and the triangle were at a disadvantage, showing that with the same amount of surface they couldn’t fit an area of 100m2 contained between 90-degree angles, less of all containing a 10mx10m tile. In order to fulfill those requirements, the total area had to be increased resulting on more quantity of waste: 73m2 vs 116m2 (diamond) vs 101m2 (triangle). Another disadvantage of the triangular tiles is that, because of its vertex situation, not all the land will have an assured connection with the road, and still the user would be paying the same price for it (at least initially).
The result from that iteration is that the trapezoidal shape is the most efficient one, but I still wanted to try the diamond pattern again, as suggested by Agos. I used the shapes which were 173m2 and arrayed them to fill a block. The results are the following:
At a quick glance, the diamond grid looks more ordered but, in my opinion, the building possibilities, the relation with the street and the parcel shape-relation with other subjects (you can see in scale), is not the best. However, I think that a 3d representation on this two approaches could also be important to determine the relation between the subject and the parcel shape, I will do it and post it below later.
Here is a view up close which shows that the trapezoidal shape allows always (indistinct of its positioning) for a squared-shape-land of 115m2 that will be in contact with the street. You can also see that the relation of a human with the parcel's shape looks more “normal” with the trapezoid than with the diamond. Thanks to its shape and characteristics, the diamond generates a sort of "tension" and "expels" the individual instead of "containing" and "attracting" him, the lastest being the effect that I think would be best for the parcels.
If we continue with the theme of trapezoidal division, the generation from the center of the block is like this:
The pattern can extend indefinitely, on the right side of the picture bellow there’s an offset of the same high as the trapezoids, which can host the half of the main road that divides the blocks.
The conglomeration of this blocks will form a district, below you can see that the number of parcels that each block can contain is huge, therefore considering internal roads should not be discarded.
Here is an example of how can a block be divided from nothing to almost the max, resulting in almost each parcel having a connection with a street and therefore being able to show their content in the best way possible. (The blue lines are the margins of the paths)
Other ways of subdividing the blocks could be:
A combination of different blocks with different subdivisions could also contribute with attending the needs and economic capacities of each owner. Also with its preference of having or not having roads inside the blocks. The idea is, as I mentioned in my posts, to have the roads divided 50/50 by each adjacent owner, therefore each owner can decide if to keep them in place or not, a “best practices” manual will be available which will justify and further explain the benefits of road infrastructure, but only as a way of advising, not imposing, a certain view.
Below, I show in red how an owner can choose several parcels and make for the squared meters that he/she will need.
This is a fractal-like combination of districts to which I made reference on my first post.
Name: Don’t get too griddy
Purpose: Subdivision of hexagons
Description: First, I think that it is important to set a common vocabulary in order to avoid misinterpretations, therefore this will be the language used for referring to land units: Districts: a conglomerate of hexagonal “squares” Squares/Block/Apples (in this case of hexagonal shape): a conglomerate of parcels Parcels: the smallest land unit
Following my two previous posts #2 #6 I have received some concerns on how to divide in equal parts the blocks, preferably in a sort of grid-like manner, because it was too complicated (I don’t know if impossible) to have it divided in irregular-shape parcels such as the ones in my designs.
The whole search for a hexagonal block was justified in my first post, one of the main factors being that is contributes to a centralized arrangement which can contribute to the agglomeration according to content, for example one block and bring together people which specializes on music, another with artists, etc., creating mini-hubs. The conglomerate of several blocks form districts, which in the case will be multi-centric resulting in a rich agglomeration. Referring also to my first post #2 there was this image, with an approach on how could the hexagons be divided:
From those options I chose to stay with the trapezoidal shape, as it seemed the friendliest when it comes to placing a building, it also contributes with the concentricity of the hexagonal shape, whereas the diamond and triangular divisions creates acute angles which I tried to avoid. I also searched for the possibility of arriving to a division of parcels that followed the dimensions of 10mx10m.
Some days ago, Agos, in the search for a regular grid, shared that the hexagons could be divided in three diamonds and those could be divided in smaller ones, creating a diamond-grid, resurfacing the issue of finding regularity and leading to a reevaluation of why I discarded that option. Therefore, based on her approach of a diamond grid, I dug deeper that before into the matter and this are my findings.
Factors I had in consideration:
This wasn’t a one-way research but a result of multiples iterations. The aim was to find the most efficient shape that could hold all the factors mentioned before while minimizing the extra land needed. On the one hand, a trapezoid of 173m2 gives the chance of be divided into three equilateral triangles (and maybe this helps in the mathematics of its implementation). It also guarantees a space of 115m2 with 90-degree angles and therefore the tile of 10mx10m. What is more, that same shape allows for a perimetric road of 1,4m width without losing the 100m2 land.
On the other hand, the diamond and the triangle were at a disadvantage, showing that with the same amount of surface they couldn’t fit an area of 100m2 contained between 90-degree angles, less of all containing a 10mx10m tile. In order to fulfill those requirements, the total area had to be increased resulting on more quantity of waste: 73m2 vs 116m2 (diamond) vs 101m2 (triangle). Another disadvantage of the triangular tiles is that, because of its vertex situation, not all the land will have an assured connection with the road, and still the user would be paying the same price for it (at least initially).
The result from that iteration is that the trapezoidal shape is the most efficient one, but I still wanted to try the diamond pattern again, as suggested by Agos. I used the shapes which were 173m2 and arrayed them to fill a block. The results are the following:
At a quick glance, the diamond grid looks more ordered but, in my opinion, the building possibilities, the relation with the street and the parcel shape-relation with other subjects (you can see in scale), is not the best. However, I think that a 3d representation on this two approaches could also be important to determine the relation between the subject and the parcel shape, I will do it and post it below later.
Here is a view up close which shows that the trapezoidal shape allows always (indistinct of its positioning) for a squared-shape-land of 115m2 that will be in contact with the street. You can also see that the relation of a human with the parcel's shape looks more “normal” with the trapezoid than with the diamond. Thanks to its shape and characteristics, the diamond generates a sort of "tension" and "expels" the individual instead of "containing" and "attracting" him, the lastest being the effect that I think would be best for the parcels.
If we continue with the theme of trapezoidal division, the generation from the center of the block is like this:
The pattern can extend indefinitely, on the right side of the picture bellow there’s an offset of the same high as the trapezoids, which can host the half of the main road that divides the blocks.
The conglomeration of this blocks will form a district, below you can see that the number of parcels that each block can contain is huge, therefore considering internal roads should not be discarded.
Here is an example of how can a block be divided from nothing to almost the max, resulting in almost each parcel having a connection with a street and therefore being able to show their content in the best way possible. (The blue lines are the margins of the paths)
Other ways of subdividing the blocks could be:
A combination of different blocks with different subdivisions could also contribute with attending the needs and economic capacities of each owner. Also with its preference of having or not having roads inside the blocks. The idea is, as I mentioned in my posts, to have the roads divided 50/50 by each adjacent owner, therefore each owner can decide if to keep them in place or not, a “best practices” manual will be available which will justify and further explain the benefits of road infrastructure, but only as a way of advising, not imposing, a certain view.
Below, I show in red how an owner can choose several parcels and make for the squared meters that he/she will need.
This is a fractal-like combination of districts to which I made reference on my first post.
The transition being:
UPDATE: Explore this proposal in 3D https://youtu.be/32-bcET-XLc