follow! the Rabin peace forum is conceived as a mnemonic structure: while being functional towards the fulfillment of the peace strive, it is also a multilayered depiction of the peace keywords. the forum itself is founded on the principle of ambiguity: while incorporating a spatial projection of the peace process in time, it is also possible to experience the spatial sequence backwards and thus starting at the endpoint and moving towards creation and the origin of things, while still moving forward in time.
Masterplan, orthogonal and section views
the entire peace forum is composed using two types of element: the orange concrete slab that forms the built structure and the olive tree that generates the grove on the rabin plaza. in addition, glass and steel are used to constitute the climate limits.
olive trees [olea europeana]: the olive branch is a symbol for peace, but it also suggests life, work and warmth. in the grove of 133 olive trees, the fragile balance between night and day, good and bad, yesterday and tomorrow, friend and enemy is depicted in the subtle game between shadow and light.
Olive tree [oleo europeana] and Concrete slab structure
concrete slabs: measuring 1.20m by 0.45m in width and height, its dimensions are of human scale. the concrete is thoroughly colored, its surface is polished. orange is chosen because it is the color of energy and hope.
a simulation of the collective movement of fish swarms in the open water is used as a metaphoric image for the orange slab's meanders through space, and therefore time, and life. the orange slabs serve for various purposes: as guidelines, markings, park benches, sunshades, access ramps, auditorium seats, static beams, walls, floors, ceilings and pillars.
Examples of fish swarm simulation.
amphitheater: [dedicated to the communication from one speaker to many listeners and vice versa.] sunk into the ground, the amphitheater is a protected mound and serves as a public meeting point and event space. it is also the entrance to the core of the peace forum: the auditors follow the performers across the stage area to the inner spheres. the amphitheater is accessed from Malkei Israel St. and the north side of the square. the amphitheater is public, outdoor. used for speeches and discussion, theater, concerts and other events.
In the grove, looking west into amphitheater and towards sanctum tower
discourse area: [dedicated to the communication from many speakers to many listeners and vice versa.] situated under ground, lit from above, the discourse area is a secluded place. it offers event and education facilities in enclosed cells, a cafeteria, exhibition space and utilities. the discourse area is semi-public, covered. used for discussion, conferences, education, events.
the sanctum: [dedicated to the communication from oneself to one's self.] a serene, vertically curved and empty space. behind the introverted discourse area, the sanctum rises to great height, with the orange slabs transforming from floor to slope to embrace and folding open to the sky. the sanctum is semi-public, enclosed. used for contemplation, exhibitions.
holocaust sculpture (existing): in order to make the square receptive for the symbols of two intense meanings -the holocaust and peace- the upside down pyramid is moved some 12 meters to the west. suggesting the past having been set to its place, it is placed on the axis of the west half of the square, surrounded by olive trees which are placed regularly to form a square which opens to Ibn Gabriol Street. as one moves away from the holocaust sc ulpture, the grove gets more and more irregular, leaving the past behind in order and for remembrance and contemplation.
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% Two leaders: first (k=1) and last fish (k=n=EVEN)
% Define velocity matrices D1,D2 of the leaders from the new curves 26.9.2001
load -ascii newleaders.txt; find(newleaders==0),
kurve1=newleaders( 1:211,:); kurve1(:,1)=-kurve1(:,1);
kurve2=newleaders(366:576,:); kurve2(:,1)=-kurve2(:,1);
D=diff(kurve1); D(59,:)=D(58,:);
R1=sqrt(sum(D'.*D'))'; [D,R1]; D1=D./(R1*[1 1]); N=length(D1);
D=diff(kurve2); R2=sqrt(sum(D'.*D'))'; [D,R2]; D2=D./(R2*[1 1]);
start1=kurve1(1,:)/R1(1); start2=kurve2(1,:)/R2(1);
S1=cumsum([start1;D1]); S2=cumsum([start2;D2]); figure(2);
plot(S1(:,1),S1(:,2),S2(:,1),S2(:,2),'LineWidth',2); axis image;
% Input parameters: n fish; N steps; w1,wn: attractivities of the leaders
% r1,r2,r3: Boundaries between following regimes near/intermediate/far/none
n=20; N=210; w1=10.2; wn=9.1; r1=7.2; r2=8; r3=12;
n2=n/2; e=ones(1,n2); w=[e,e]; w(1)=w1; w(n)=wn;
u0=rand(2,n)-.5; u0=u0./([1;1]*sqrt(sum(u0.^2)));
x0 = [30,0;0,10]*(rand(2,n2)-.5); x0(:,1) = [0;0]; x0=x0+start1'*e;
xn = [20,0;0,45]*(rand(2,n2)-.5); xn(:,n2)= [0;0]; xn=xn+start2'*e;
u=u0; x=[x0,xn]; z=x(1,:)+x(2,:)*i; Z=[z-(u(1,:)+u(2,:)*i);z]; tic;
for j=1:N, uu=[];
for k=2:n-1,
xrel=x-x(:,k)*[e,e]; r=sqrt(sum(xrel.^2)); d=xrel./([1;1]*(r+eps));
k0=find(r<r1); v0=[0,1;-1,0]*d(:,k0);
v0=v0.*([1;1]*sign(sum(u(:,k0).*v0)));
k1=find(r1<=r & r<r2); k2=find(r2<=r & r<r3); k3=find(r3<=r);
v=0*u; v(:,k0)=v0; v(:,k1)=u(:,k1); v(:,k2)=d(:,k2);
v(:,k3)=zeros(2,length(k3));
s=w*v'; if all(s==0), s=rand(1,2)-.5; end; uu=[uu,s'/norm(s)];
end; u=[D1(j,:)',uu,D2(j,:)']; x=x+u; Z=[Z; x(1,:)+x(2,:)*i];
end; toc; figure(1); clf; hold on;
plot(Z(:,2:n-1)); plot(Z(:,1),'LineWidth',2);
plot(Z(:,n),'m','LineWidth',2);
axis image; % axis off; print -deps fische08.eps
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% Two leaders: first (k=1) and last fish (k=n=EVEN)
% Define velocity matrices D1,D2 of the leaders from the new curves 26.9.2001
load -ascii newleaders.txt; find(newleaders==0),
kurve1=newleaders( 1:211,:); kurve1(:,1)=-kurve1(:,1);
kurve2=newleaders(366:576,:); kurve2(:,1)=-kurve2(:,1);
D=diff(kurve1); D(59,:)=D(58,:);
R1=sqrt(sum(D'.*D'))'; [D,R1]; D1=D./(R1*[1 1]); N=length(D1);
D=diff(kurve2); R2=sqrt(sum(D'.*D'))'; [D,R2]; D2=D./(R2*[1 1]);
start1=kurve1(1,:)/R1(1); start2=kurve2(1,:)/R2(1);
S1=cumsum([start1;D1]); S2=cumsum([start2;D2]); figure(2);
plot(S1(:,1),S1(:,2),S2(:,1),S2(:,2),'LineWidth',2); axis image;
% Input parameters: n fish; N steps; w1,wn: attractivities of the leaders
% r1,r2,r3: Boundaries between following regimes near/intermediate/far/none
n=20; N=210; w1=10.2; wn=9.1; r1=7.2; r2=8; r3=12;
n2=n/2; e=ones(1,n2); w=[e,e]; w(1)=w1; w(n)=wn;
u0=rand(2,n)-.5; u0=u0./([1;1]*sqrt(sum(u0.^2)));
x0 = [30,0;0,10]*(rand(2,n2)-.5); x0(:,1) = [0;0]; x0=x0+start1'*e;
xn = [20,0;0,45]*(rand(2,n2)-.5); xn(:,n2)= [0;0]; xn=xn+start2'*e;
u=u0; x=[x0,xn]; z=x(1,:)+x(2,:)*i; Z=[z-(u(1,:)+u(2,:)*i);z]; tic;
for j=1:N, uu=[];
for k=2:n-1,
xrel=x-x(:,k)*[e,e]; r=sqrt(sum(xrel.^2)); d=xrel./([1;1]*(r+eps));
k0=find(r<r1); v0=[0,1;-1,0]*d(:,k0);
v0=v0.*([1;1]*sign(sum(u(:,k0).*v0)));
k1=find(r1<=r & r<r2); k2=find(r2<=r & r<r3); k3=find(r3<=r);
v=0*u; v(:,k0)=v0; v(:,k1)=u(:,k1); v(:,k2)=d(:,k2);
v(:,k3)=zeros(2,length(k3));
s=w*v'; if all(s==0), s=rand(1,2)-.5; end; uu=[uu,s'/norm(s)];
end; u=[D1(j,:)',uu,D2(j,:)']; x=x+u; Z=[Z; x(1,:)+x(2,:)*i];
end; toc; figure(1); clf; hold on;
plot(Z(:,2:n-1)); plot(Z(:,1),'LineWidth',2);
plot(Z(:,n),'m','LineWidth',2);
axis image; % axis off; print -deps fische08.eps
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Matlab 5.0 computer program for behavioural simulation fish swarms of n fish, based on the Huth-Wissel-model. Input: 2 curves consisting of each 100 points to draw the path of the 'leader fish'. Simulation is calculated for 210 steps.
Programming Prof. Dr. Jörg Waldvogel and Christian Waldvogel
