This document provides a summary of behavioral mapping data collected in the main foyer of an unspecified building. It notes the most common locations where people were observed standing, smoking, waiting, talking/having conversations, and using their phones. Diagrams show common paths through the space and attractor vectors. Additional pages discuss typologies of geometric layouts based on varying parameters like node distance and length. Analysis explores how these parameters affect the space, including its sense of enclosure and separation between areas. Diagrams illustrate relationships between ceiling height, circulation speed, and types of spaces like viewing areas. Reference images of art museums are also included.

1. THE GRAMMAR OF TRANSITIONS
R

2. HFF Main Foyer:
Behavioural Mapping Data Summary:
Common Paths & Areas for Conversation
Most common position of a person standing(recorded
location on more than ve seperate occasions)
Smoking
Waiting
Talking/conversation
Common position of people in a conversation
3 = Most common spot for conversation/s(recorded
location on more than ten seperate occasions)
Common path through space
Talking on the phone
Matthew Deutrom
sign glass
Main Lobby: HFF glass
door glass
sign glass
black
stair
white red
black white corridor white white
grey
glass glass glass bridge bridge sign black
black sign
black black white white white bridge grey
white white glass glass
silver silver bridge red
black
grey
grey sign
red grey
grey
glass glass glass
black black black black black
sign
glass
red sign
gre sign red
red
sign
red
path walked
attractor vector

3. MAIN
ENTRY
CAFE
SPACE STUDIO [EMERGING TECHNOLOGIES]
HENRY ZIMMERMAN 03

4. AN EXAMPLE OF HOW THE GEOMETRY COULD BE MANIPULATED:
INTENSITY OF GEOMETRY (height to apex Triangle denotes direction and amount of space (obviously
perpendicular to pathway), shown here with a always away from closest surface - which we must stay
dotted line from the apex to boundary of direct near to travel on most direct path)
path, indicates a moment ideal for conversation
(we tend to move to the center of space to
1
of the most direct path to see around a corner
(I now believe this is not inherent but a
spatial / design quality to be desired and
NODE/STATE
utilized).
TRANSITION FROM ONE SPACE TO ANOTHER
NODE/STATE
2
KEY START
the INTENSITY OF GEOMETRY exhibited here is
space surrounding the same ‘direct’ pathway
depicted in grey. This pathway forces people to
move through it faster to achieve the same
variation completely eliminates the opportunity
for a space of pause that could be used for
conversation or simply slowing ones movement.

5. also must be separated
Shaded Region = Slow Space
1
SIDE A
Each number represents a NODE. These NODES in turn 3
DIRECT PATHWAY (circulation)
represent an individual work of art. SIDE B 1 2 4 5 6
also must be separated
Artworks are similar
1
The artworks have a set of values recorded that determi-
SIDE A
ne there relationship to eachother and the architectural 3
DIRECT PATHWAY
features that are shaped through the construction of this SIDE B 1 2 4 5 6
diagram.
1
SIDE A
3
DIRECT PATHWAY (circulation)
SIDE B 1 2 4 5 6
Circles are drawn from the medial axes as a way to de-
termine the location of the walls. The walls are drawn as
tangents between the circles. (need to refine method).
The artworks have a set of values recorded that determi-
DIRECT PATHWAY (circulation)
ne there relationship to eachother and the architectural
features that are shaped through the construction of this ROTATION (to optimize geometry
diagram.Each number represents a NODE. These NODES in & to enhance relationship of artwork)
turn represent an individual work of art.
NEW DIRECT PATHWAY

6. How the parameters combine with the geometry to Walls generated as tangents to circles -
generate space -
1
1
3
3
Optimal Viewing
Distance Angle to face work at 90Ɠ
Angle to turn towards
next work
Approach Angle
30Ɠ
Direct Pathway
Distance to next work =
length of red line
2
The Parameters detailed:
>Optimal Viewing Distance
-(Necessarily means ‘Size of Work’)
>Approach Angle 2
>Distance to next work
>Angle to turn towards next Artwork
2 Types of Orientation to Circulation
01. Circulation passes in front of you 02. Circulation passes behind you
2D Artwork
Transition space Transition space
The “Direct Pathway” The “Direct Pathway”
The Pathway people will use in order to
slow down and view the artwork.
(Medial Axes) Medial Axes Pathway
Optimal viewing position
2D Artwork

7. STUDY PROCESS model + code

10. Typology studies
By changing each one of the parameters randomly, we endeavor the potential of each type of the geometry composition.
Distance between center of the circle and direct path way is significant criteria for the topology.Thus we first categorized geometries by the distance.
The classification using the distance variable is represented as e.g. “SSSS” (‘same, same, same, same’ - s = same side as first node), or “SSDS” (‘same, different, different,
same’ - d = different side than first node).
In this typology, two of the types are special: SSSS and DSDS. All of the other types can be explain as a combination of these two and at the same time they cannot
represent each other. It can be said that they are linear independent.
For that reason, following study on dimension change in the parameter “Length” deal with only three of the types. SSSS, DSDS(basis types) and SSDS(combination).
SSSS DSDS SSDS
• gradual curve • 1 corner • stretch
• sharp turn • 2 corners • stretch+gradual
• 2 corners • 3 corners • stretch+sharp
• stretch • 4 corners • sharp+stretch Those categories are di-
• sharp+gradual vided into detailed brunch
• stretch
by other parameters.
• sharp+sharp
• gradual+stretch
• gradual+gradual
• gradual+sharp
Analysis
Approach angle has affect locally.there are three types interms of approach angle: saw tooth, united space, look back.
When the length of the pathway is changed, separation of each node is emphasized or deprecised. Length is one of determining factor of
area scale thus longer wall creates lager space.In addition, when the pathway is long and distance between center of the space and pathway is rela-
tively short, that space becomes shallow. In other words, the affect of approach angle or distance is depreciated.
Interms of rotation we reach to two conclusion.
When 2 or more nodes are on the same side, increasing rotation unifies their space. The room becomes less faceted and more simple. And
the rhythm of, what we have termed, ‘pocket’ gallery spaces is eliminated or reduced with increasing rotation.
When the nodes alternate sides rotation has the opposite effect. Instead, increasing rotation makes the nodes space more isolated from
those adjacent to it, both visually and spatially.

11. EXTEND
COMPRESSED
CURVY
2D WORKS
SCULPTURE
SAW TOOTH
SSSS:
When the pathway is stretched, the entire geometry looks like saw tooth and where the length is shorter the saw tooth is keen.
When the pathway is gradually winding and length of each node is short, the entire shape becomes close to circle.
In other words, radius of curvature is proportional to the length.
Length has less things to do with sharp corner.

12. stretch sharp turn
gradual curve
two corner

13. EXTEND COMPRESSED
DSDS:
DSDS is head-shaker type. That is a ptatron has to turn every time they move to the next node.
When length is short, this turn occurs often and entire space becomes confused.
If the length is longer side change is less important.

14. stretch
3corners
1 corner
4corners
2corners

15. ds
GRADUAL
sss
CURVY
SSDS:
This case is combination of continuous one side part and side changed part.

16. Plan System
SAME SIDE OF THE PATHWAY
distance
SAW TOOTH
approach
UNITED SPACE
approach
HEAD SHAKER
distance
DIFFERENT SIDE OF THE PATHWAY
distance
EXTEND COMPRESSED EXTEND
length

17. Height Change System
Artwall
Stagnant/
thway Slow -
Axes Pa
Medial Space Stopped Space
(viewing space)
1. PLAN
2. Artwall = Highest ceiling
Dir
ec
tP
ath
wa
y
The diagram determining ceiling and roof height:
> Highest ceiling height is at the Artwall.
.
> Stopped space is also very high but slopes away from the Artwall.
> Slow space is medium height and shears the roof away from the portion created by the Artwall
and Stopped space, creating an opening to bring in light. (This opening should not face south).
> Ceiling height above the Direct Pathway is the lowest corresponding to the most circulation and
the fastest circulation.
>>The relationship of height to speed of circulation is;
the slower the circulation = the greater the ceiling height 3. Slow Space = Lower
And conversely,
the faster the circulation = the lower the ceiling height

18. Reference
Hoki Museum

19. Against Symmetry Towada Art Center

20. Project situation

21. Project Composition

22. Project rendering

23. Project section