formpig – a resource aggregator for the pre-rationalization and post-rationalization of architectural scale form
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07. geometry, form and kinematics
universal joint kinematic contact sheet
contacts sheets from a kinematic animation of a universal joint. these are experiments for a flipbook or kinetoscope.
universal joint kinematic contact sheets_detail view
kinematic animation of a universal joint. experiments for a flipbook or kinetoscope.
universal joint kinematic rotations
this is a 3D model from a lithograph in “Kinematics of Machinery: An Outline of a Theory of Machines” by [...]
rational truss design [calvert]
![rational truss design [calvert]](http://formpig.com/blog/wp-content/uploads/2011/01/formpig_truss-design_calvert-266x150.png)
there’s some very good truss, and other engineering, information under rational design on this site by j b calvert. [link [...]
visualizing the fourth dimension [meshview]
![visualizing the fourth dimension [meshview]](http://formpig.com/blog/wp-content/uploads/2011/01/formpig_visualizing-the-fourth-dimension_meshview-270x150.png)
an interesting paper and software on higher order geometry. relates back to some of the early classical plaster mathematical models. [...]
tensegrity + more [kenneth snelson]
![tensegrity + more [kenneth snelson]](http://formpig.com/blog/wp-content/uploads/2011/01/formpig_tensegrity-and-more_kenneth-snelson-189x150.png)
an amazing resource for tensegrity structures and much more. i really like the way this guy thinks. [link to kenneth [...]
how calculus is changing architecture [greg lynn on ted talks]
![how calculus is changing architecture [greg lynn on ted talks]](http://formpig.com/blog/wp-content/uploads/2011/01/formpig_greg-lynn_ted-talks-310x150.png)
the inimitable greg lynn on contemporary architecture. [link to ted talks]
the curse of the polygon – or why meshes suck [hollister]
![the curse of the polygon - or why meshes suck [hollister]](http://formpig.com/blog/wp-content/uploads/2011/01/formpig_the-curse-of-the-polygon_hollister.png)
a really great beginner article on why your meshes may not look rendered correctly. by stephen hollister of hydraulic design. .
using tensor diagrams [blinn]
![using tensor diagrams [blinn]](http://formpig.com/blog/wp-content/uploads/2010/12/formpig_using-tensor-diagrams_blinn-310x150.png)
using tensor diagrams to solve and represent geometric problems by jim blinn. i think it has a relationship to cubic [...]
foundation sagrada familia [gaudi]
![foundation sagrada familia [gaudi]](http://formpig.com/blog/wp-content/uploads/2010/12/formpig_coudation-sagrada-familia-310x150.png)
there is some very well written and consice geometric information on the foundation sagrada familia site. i visited many years [...]
packing tetrahedrons [ny times]
![packing tetrahedrons [ny times]](http://formpig.com/blog/wp-content/uploads/2010/11/formpig_packing-tetrahedrons_nytimes-207x150.png)
“researchers have been using dungeons and dragons dice to learn how to pack tetrahedrons. the record density has recently hit [...]
theory and practice of unfolding [dioramax]
![theory and practice of unfolding [dioramax]](http://formpig.com/blog/wp-content/uploads/2010/11/formpig_designin-cardmodels_dioramax-310x150.png)
a super interesting article on unfolding from the cats at dioramax. read it along with polthier’s article on the topic. [...]
unfolding polyhedra [polthier]
![unfolding polyhedra [polthier]](http://formpig.com/blog/wp-content/uploads/2010/11/formpig_imaging-maths_polthier-310x150.png)
an uber informative article by one of the masters of the art of unfolding. [link to article]
freeform surface modeling [wiki]
![freeform surface modeling [wiki]](http://formpig.com/blog/wp-content/uploads/2010/11/formpig_freeform-surface-modeling_wiki-310x150.png)
a nice explanation of so-called freeform surfaces. [link to article]
kappatau space curves [rucker]
![kappatau space curves [rucker]](http://formpig.com/blog/wp-content/uploads/2010/11/formpig_kappa-tau-space-curves_rucker-310x150.png)
rudy rucker’s page on kappautau space curves. should be of interest to the developable architecture crowd. [link to rucker]
![developable sculptural forms of ilhan koman [akgun et. al.]](http://formpig.com/blog/wp-content/uploads/2010/11/formpig_developable-sculptural-forms-of-ilhan-koman_akgun-310x150.png)
cobra replicas [kirkham motorsports]
![cobra replicas [kirkham motorsports]](http://formpig.com/blog/wp-content/uploads/2010/11/formpig_cobra-replica_kirkham-motorsports-310x150.png)
these guys build cobra replicas in an old airplane manufacturing facility in poland. [link to kirkham motorsports]
omkrets [nettelbladt]
![omkrets [nettelbladt]](http://formpig.com/blog/wp-content/uploads/2010/10/formpig_omkrets_netelbladt-198x150.png)
check out maarten nettelbladt’s blog. he’s been doing very interesting work for a very long time. [link to omkrets]
curved folding [epps]
![curved folding [epps]](http://formpig.com/blog/wp-content/uploads/2010/10/formpig_curved-folding_epps.png)
a link to greg epps’ community building up around curved folding. bridging the gap between origami and development. also a [...]
strandbeest [theo jansen]
![strandbeest [theo jansen]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_strandbeest_theo-jansen-310x150.png)
check out this amazing kinematic work from a dutch artist. you know this thing only works 10% of the time [...]
fresnel’s wave surface
fresnel’s wave surface from a classical mathematical model collection. original model collection on [picasa]
universal joint
franz realeaux’s model of a universal joint. from an original collection of over 700 models.
organic form
organic form. i think i have to mention on growth and form here by d’arcy wentworth thompson.
i got 99 lofts but a…
we are currently seeking technical information regarding large scale construction using loft tools. kindly forward your technical loft documentation.
![gaussian curvature [shelden]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_gaussian-curvature_shelden-310x150.jpg)
![poeme de l'angle droit [corbusier]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_poeme-de-langle-droit-solar-II_corbusier.tif)
the dirty little secrets of nurbs [hollister]
![the dirty little secrets of nurbs [hollister]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_dirty-little-secrets-of-nurbs_hollister-310x150.png)
steven hollister has some great information on his site related to nurbs and reverse engineering. also check out his highly [...]
![koebe polyhedron editor [sechelmann]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_koebe-polyhedron-editor_sechelmann-310x150.png)
charles babbage [kmoddl]
![charles babbage [kmoddl]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_babbage_kmoddl-310x150.jpg)
an image by charles babbage from the kinematic models design digital library (kmoddl) site. [link to kmoddl]
kinematics of machinery: outline of a theory of machines [reuleaux]
![kinematics of machinery: outline of a theory of machines [reuleaux]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_kinematics-of-machinery-outline-of-a-theory-of-machines-V_reuleaux-310x150.png)
an image from franz reuleaux’s kinematics of machinery: outline of a theory of machines.
ducks and splines [lofting]
![ducks and splines [lofting]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_splines-and-ducks1-310x150.jpg)
ducks and splines. we’re looking for images or information related to old-school full scale lofting such as in a sail [...]
geometry and the imagination [hilbert]
![geometry and the imagination [hilbert]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_confocal_quadrics-288x150.jpg)
an image of confocal quadrics from hilbert’s geomety and the imagination. solid book.
anticlastic and synclastic
an image demonstrating the terms “synclastic” and “anti-clastic”. more illustrated definitions to follow.
![la tourette skylight analysis [corbusier]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_la-tourette-skylight-analysis-310x150.png)
catastrophe illustration [richard morris]
![catastrophe illustration [richard morris]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_morris-rendering-image-288x150.jpg)
an image from some work by my man richard morris. from his work on singularities.
reuleaux triangle
an image from some classical mathematical model research. original model collection on [picasa]
subdivision surfaces [funkhouser]
![subdivision surfaces [funkhouser]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_subdivision-surfaces_princeton-funkhouser-310x150.png)
good general information on computer modeling from a class at princeton. [link to article]
bilinear quads and linear triangles [dazevedo]
![bilinear quads and linear triangles [dazevedo]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_are-bilinear-quadrilaterals-better-than-linear-triangles_dazevedo-310x150.png)
this one is a dense one – but – overreaching – like the giraffe straining to nibble the tender leaves [...]
cad issues [tu delft]
![cad issues [tu delft]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_cad-issues-vol-2_tu-delft-310x150.png)
nice generalist article form tu delft. lord knows we need some generalists. [link to article]
![computer graphics course [drexel]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_computer-graphics_drexel-310x150.png)
contouring [mans]
![contouring [mans]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_contouring_mans-310x150.png)
super intelligent and amusing description of sectioning a surface for fabrication. nice images of waffles. [link to article]
![nurbs [lavoie]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_introduction-to-nurbs_lavoie-258x150.png)
constructive geometry [monge]
![constructive geometry [monge]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_gaspar-monge-founder-of-constructive-geometry_sakarovitch-310x150.png)
an important paper on gaspar monge by joel sakarovitch. sakarovitch, a longtime researcher into monge’s work, has effectively uncovered another [...]
![gaudi and cad [burry]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_gaudi-and-cad_burry-310x150.png)
general investigation of curved surface [gauss]
![general investigation of curved surface [gauss]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_general-investigations-of-curved-surface_gauss-233x150.png)
a landmark paper by gauss. not many illustrations in there but here is a great one on the left. [link [...]
the heroic age of geometry [coolidge]
![the heroic age of geometry [coolidge]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_heroic-age-of-geometry_coolidge-310x150.png)
nice article by coolidge on gauss and his milieu. [link to paper]
las lineas de gaudi [hererra]
![las lineas de gaudi [hererra]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_líneas-vivas-de-gaudí_herrera-310x150.png)
a nice paper by herrera called las lineas de gaudi. this got in here because it has a cool catalonian [...]
franz reuleaux [kinematics]
![franz reuleaux [kinematics]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_professor-franz-reuleaux_zopke-310x150.png)
this is franz reuleaux, the founder of modern machine design. like paul rudolph, he strode “like a brush cut colossus across [...]
simple computer programming to enhance spatial recognition [burry]
![simple computer programming to enhance spatial recognition [burry]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_simple-computer-programming-to-enhance-spatial-cognition-in-architecture-and-design_burry_-310x150.png)
a very nice paper on spatial cognition and parametric cad in architectural education by mark burry. wouldn’t be complete without [...]
the unreasonable effectiveness of mathematics [wigner]
![the unreasonable effectiveness of mathematics [wigner]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_unreasonable-effectiveness-of-mathematics_wigner-310x146.png)
very interesting article. if you’re into math you probably have to read this. [link to paper]
bent pyramid
i think this is rad. i’d love to have heard the discussion – prior to this ostensible resolution – between [...]
![battlements [monge]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_battlement_monge-310x150.png)
![museum of technology [florence]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_museo-di-storia-della-scienza-310x150.jpg)
poeme de l’angle droit [corbusier]
![poeme de l’angle droit [corbusier]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_poeme-de-langle-droit-solar_corbusier-310x150.gif)
a solar geometry drawing by le corbusier. from poeme de l’angle droit.
tri reduction
tri-reduction image from a computer science classroom text by piegl. [link to classwork]
geometrie projective [monge]
![geometrie projective [monge]](http://formpig.com/blog/wp-content/uploads/2010/09/formpig_mongean-projective-288x150.jpg)
an image from gaspar monge’s geometrie projective. founder of projective geometry, constructive geometry and quite a bit more. arguably it [...]
kinematics: geometry of pure motion
extremely interesting site. kinematic models for the design digital library hosted by cornell university. documents machine design though kinematics. contains [...]
class a surfacing
a relatively rare article on class a surfacing from dassault. for the precision nurbs freaks. [link to download] [link to [...]
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