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1. Topological Pattern of Space Organization

1.1 Public Private Space Transition
There are two aspects of aging: the "biological process" and the "social passage"[1]. For the social passage, as one become aged, one tends to encounter a dramatic change in the social roles, some tends to withdraw from previous responsibilities, some seeks to engagement in new social roles. Providing a soft transition and a variety of choices is a key to maintain a balance between the social connection and the degree of privacy. Upon this concern, the basic space structure of public-private-transition is defined recursively as follows: each node represents a space, each level i node serves as a common space for the 2 to 4 node of the (i+1)th level, each leaf node represents a living unit, each non-leaf node represents a common space, with level of privacy higher when locate nearer to some leaf-node.

Another reason to organize space in this way is to encourage a group-assist living pattern, to encourage residents to give and receive help from their neighbors and the living group, which can both achieve a sense of self achievement for helping others, to prolong the time of transferring to a higher nursing degree and to strengthen bounds between residents.

Yet another consideration is to assign each group a common space and encourage the residents to arrange the decoration and space functionality, which increases the sense of belonging.
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Soft Transition of Public and Private Space
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Tree Representation of Degree of Privacy Level
Pseudo Code for calculating the dimension of space: 
type metric = int
type vertex = metric * metric * metric
datatype tree = Leaf | Node of tree seq

(* calculate the required space for each vertex v in the tree *)
requireSpace(v) =
    case v of
             Leaf => volume(v)
         |  Node child_seq => (reduce (op+) (map requireSpace child_seq)) * factor(depth v)

(* volume(v) : return the volume of vertex v *)
fun volume(v) = let (l, w, h) = v in (l * w * v) end

(* depth(v) : return the depth of sub-tree rooted at v *)
fun depth v = 
    case v of
            Leaf => 0
        |  Node child_seq => reduce max (map depth) + 1

(* factor(x) : a correction factor related to the depth of the sub-tree, need to specify later *)
1.2 Paths
One of the major concern for path design is: 1) to create more chance of encountering people 2) to accommodate the needs for the Alzheimer Disease victims. 
Picture
1.3 Access to Nature
This thin section design allows access to nature and the possibility to natural ventilation and daylighting
Picture
Access to Nature
Picture
Section Design Concept
Picture
Daylighting
Picture
Natural Ventilation
2. System Integration
draft idea: 
Picture
3. Vertical Function Draft
Picture
4. Establishing the Connections between Different Age Groups

bibliography

1. Perkins, B. (2004). Building type basics for senior living. Hoboken, N.J.: John Wiley & Sons.
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