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Country: United States
Metropolitan Area: San Francisco
Postal Reference Code: 94110
Latitude: 37.7506
Longitude: -122.4121




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I have recently been exploring some reciprocal force diagrams using Kangaroo. From the 1869 paper by James Clerk Maxwell On reciprocal figures, frames and diagrams of forces > …to construct the Polygon of Forces, by drawing in succession > lines parallel and proportional to the different forces, each line > beginning at the extremity of the last. If the forces acting at the > point are in equilibrium, the polygon formed in this way will be a Kangaroo can generate structures in static equilibrium in a simple and intuitive way using dynamic relaxation. Once we have this equilibrium structure we can rearrange the force vectors to form such a reciprocal diagram. When the structure is modelled as a mesh I found there is a along that edge, then for each face, take the start points of  its edges and just pull them together with attraction forces, but keeping simulation has stopped moving) then everything matches up as neatly closed polygons in the resulting reciprocal diagram. We can also optionally rotate the edges by 90° before pulling them together, which reduces the distance they have to move. (Note that unlike the thrust network an*lysis approach which actually uses the reciprocal diagram as part of the process of generating the equilibrium. So in this case it is used not as an essential step, but as an alternative visual representation which I think can be In the special case where our structure has been form-found by treating the edges of a mesh as zero-rest-length springs of uniform stiffness, this generation of the reciprocal figure becomes even simpler still. Recall that the force in a spring is proportional to correspond to their forces and there is no need for any scaling step (another way of looking at this is that zero rest length springs of This lead me to thinking about the equivalent for tensile structures. If we relax the edges of a mesh with a non planar boundary, we can get a tensile network in space. Here because the only forces in the system are in the edges themselves (unlike the compression shell example,


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/about/:
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About Me | Space Symmetry Structure

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journeys in the Apeiron

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/cv/:
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CV | Space Symmetry Structure

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CV for Daniel Piker Tel 01494 529333 Mobile 07729 392288 Email danielpiker_at_gmail_dot_com D.O.B. 19/06/82 Nationality UK and USA (dual) Previous Employment Milk Studio Architects (Summer 2008) Rendering and Lighting studies for competition scheme Tonkin Liu Architects (Winter 2006-Summer07) Competitions (for a pedestrian bridge, a modular geometric screen system, Landmark Wales), China Design Now exhibition at…

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Links | Space Symmetry Structure

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Some links to pages I find interesting. As I get around to it I will organise and annotate these more. Generative Visuals/Interaction Design v3ga.net Alex McLean Dave's page of art and programming the teeming void generatorx Code&form processing monsters OpenProcessing flight404 Scott Snibbe Marius Watz - unlekker.net postspectacular toxi memo.tv createdigitalmotion createdigitalmusic serial consign Johnny…

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/rheotomic-surfaces/:
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Rheotomic Surfaces | Space Symmetry Structure

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These are Rheotomic Surfaces – from the Greek Rheo – flow and Tomos – cut or section (as in tomography) The horizontal sections of these surfaces correspond to the moving equipotential lines of a 2D Laplacian flow, with height mapped to time. Such surfaces are complete, embedded and walkably connected. In this essay I present…

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/2014/05/15/force-polygons-of-equilibrium-structures/:
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Force polygons of equilibrium structures | Space Symmetry Structure

Description

I have recently been exploring some reciprocal force diagrams using Kangaroo. From the 1869 paper by James Clerk Maxwell On reciprocal figures, frames and diagrams of forces : ...to construct the Polygon of Forces, by drawing in succession lines parallel and proportional to the different forces, each line beginning at the extremity of the last. If the forces acting at the…

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Space Symmetry Structure

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Force polygons of equilibrium structures

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