Page 53 - ARCHIDOCT 6-2

= ( −)×( −)∗−1∗(−)∙(( −)×( −))
= ( −)×( −)∗−1∗(−)∙(( −)×( −))
53
=∙ 1 −∙
Vol. 6 (2) / February 2019
= ( −)×( −)∗−1∗(−)∙(( −)×( −))
4.2.3 Strata force 1 4.2.3 Strata force
4.2.3 Strata force

=∙ 1 −∙
ISSN 2309-0103
=∙ −∙ 1
www.enhsa.net/archidoct
= ⎜ 0 ⎟ ⎜0⎟
=( −)×( −)⎝ 0
=( −)×( −)
=( −)×( −)
T=hus0the force according to 4.2.6 would be 0
= 0 0
0
Thus the force according to 4.2.6 would be
Thus the force according to 4.2.6 would be Thus the force according to 4.2.6 would be Thus the force according to 4.2.6 w1ould be
h =⎛ ,−⎞
⎞⎠ h = ⎛ , ⎞
h = ⎜ 0 ⎟
4.2.8 Attribute force ⎜ 0 ⎟ ⎝0 ⎠

4.2.3 Strata force 1
= ( −)×( −)∗−1∗(−)∙(( −)×( −))
=∙ −∙

In the case of layers parallel to theYZ-plane, = 0, the force is
1
In the case of layers parallel to the YZ-plane, = 0, the force is
1
In the case of layers parallel to the YZ-plane, = 0, the force is
0
In the case of layers parallel to the YZ-plane, = 0, the force is
= ⎛ , − ⎞
= ⎛⎝ 0, ⎜ −⎟
⎞⎠ = ⎛ , ⎞

0 10

⎜1 ⎟
1 0−
⎛ , ⎞
1 −
⎝0 ⎠
⎠ ⎝0⎠
From this, select the coordinate axis that represents the maximum of the coordinate values: Let M be the normal of the plane through the cell’s three closest neighbors:
==(ma−x|) ×|,( −, |) |
From this, select the coordinate axis that represents the maximum of the coordinate values:
From this, select the coordinate axis that represents the maximum of the coordinate values: From this, sFerleocmt thies,csoeolercdtinthaetecoaxoirsdisnathteataxreispretsheant trsepthresmenatxsitmheumaoxfimthuemcoof trhdeincaotoerdvainluaetes:values:
If, for example, = , then the YZ plane is regarded as the best fitting orthogonal plane and the = max| |, ,| |

⎜1 ⎟
1 0−
⎛ , ⎞
10
orthogonal force pushes in direction of the plane with normal through the centre point of all of its = max||,,||
= max| |, ,| |
Ifn, efoigrhebxoarms.ple, = , then the YZ plane is regarded as the best fitting orthogonal plane and the
If, for example, = , then the YZ plane is regarded as the best fitting orthogonal plane and the orthogonal force pushes in direction of the plane with normal through the centre point of all of its If, for example, = , then the YZ plane is regarded as the best fitting orthogonal plane and the
thogonal foorcrtehopguos1nhaelsfCorcine pduirsehcetsion ionfdtihrecptiloaneofwthitehpnlaonremwalitNh ntohrrmoaulgh threocuegnhttrheepcoeintreofpaolilnot of f all of its neighbors.
orthogonal force pushes in direction of the plane with normal through the centre point of all of its
If, for example, s=x, then the YZ plane is regarded as the best fitting orthogonal plane and the or-
neig=hbors. its neighbors. 0
1 = 0
neighbors.
10
1
h = ⎛⎝ 0,
⎜ − ⎟
1 −
⎝0⎠
A cell can have information attributed to it that can0 define a force or a behavior acting on its neigh- ⎝⎠
bors.A cell’s movement is then influenced by the attributes of its neighboring cells.This can be used to create effects similar to the alignment as in the Boids algorithm (Reynolds 1987).
1 = ()

with A being the force vector which is attributed to a cell (Figure 10). Green vectors are attributed to a cell and applied to its neighbors.
4.2.4 Drag
pe th moc
=
with , , being factors in each Cartesian direction. (Figure 11)
oid excess cell
Figure 8.
Strata force
Drag, a direction de movement. Drag is

ndent factor, can be applied to ainly used to reduce the cell vel
∙ ∙ ∙
Figure 6. Figure 7.
Planarization by attraction force Planarization by local normal force
ce
e cells, especially in order to av ity.
Figure 11: Drag 4.3 External For
External forces are
4.3.1 Unary For
A unary force can b
s
t related to a cell’s cell neighbo applied to the cells, for example
norhationinspace.
ce
e to Figure 9. Figure 10.
Figure 11.
Drag
Orthogonal force Attribute force. =

with , , being the forces in each Cartesian direction. (Figure 12)
ood, but usually to the cell’s loc simulate gravity:
//
Cellular Design
Christoph Klemmt