07. geometry, form and kinematics
universal joint kinematic contact sheet
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
universal joint kinematic contact sheets_detail view

kinematic animation of a universal joint. experiments for a flipbook or kinetoscope.

universal joint kinematic rotations
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]

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]

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]

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]

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]

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]

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]

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]

“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]

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]

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]

a nice explanation of so-called freeform surfaces. [link to article]

kappatau space curves [rucker]
kappatau space curves [rucker]

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.]
developable sculptural forms of ilhan koman [akgun et. al.]

[link to paper]

cobra replicas [kirkham motorsports]
cobra replicas [kirkham motorsports]

these guys build cobra replicas in an old airplane manufacturing facility in poland. [link to kirkham motorsports]

omkrets [nettelbladt]
omkrets [nettelbladt]

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]

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]

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

fresnel’s wave surface from a classical mathematical model collection. original model collection on [picasa]

universal joint
universal joint

franz realeaux’s model of a universal joint. from an original collection of over 700 models.

organic form
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…
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.

kummer singularities
kummer singularities

a kummer surface.

solar path chart 37 deg n lat
solar path chart 37 deg n lat

solar path chart for the latitude of austin texas.

gaussian curvature [shelden]
gaussian curvature [shelden]

a nice illustration on gaussian curvature.

poeme de l’angle droit [corbusier]
poeme de l'angle droit [corbusier]

from the hand of corbusier.

the dirty little secrets of nurbs [hollister]
the dirty little secrets of nurbs [hollister]

steven hollister has some great information on his site related to nurbs and reverse engineering. also check out his highly [...]

koebe polyhedron editor [sechelmann]
koebe polyhedron editor [sechelmann]

an online koebe polyhedon modeler. [link to software]

charles babbage [kmoddl]
charles babbage [kmoddl]

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]

an image from franz reuleaux’s kinematics of machinery: outline of a theory of machines.

senufo housing typology
senufo housing typology
ducks and splines [lofting]
ducks and splines [lofting]

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]

an image of confocal quadrics from hilbert’s geomety and the imagination. solid book.

koebe mesh
koebe mesh

[link forthcoming]

anticlastic and synclastic
anticlastic and synclastic

an image demonstrating the terms “synclastic” and “anti-clastic”. more illustrated definitions to follow.

la tourette skylight analysis [corbusier]
la tourette skylight analysis [corbusier]

geometric analysis of la tourette’s light cannons.

catastrophe illustration [richard morris]
catastrophe illustration [richard morris]

an image from some work by my man richard morris. from his work on singularities.

reuleaux triangle
reuleaux triangle

an image from some classical mathematical model research. original model collection on [picasa]

subdivision surfaces [funkhouser]
subdivision surfaces [funkhouser]

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]

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]

nice generalist article form tu delft. lord knows we need some generalists. [link to article]

computer graphics course [drexel]
computer graphics course [drexel]

nice intro information. [link to article]

contouring [mans]
contouring [mans]

super intelligent and amusing description of sectioning a surface for fabrication. nice images of waffles. [link to article]

nurbs [lavoie]
nurbs [lavoie]

a more than serviceable article on nurbs by lavoie. [link to article]

constructive geometry [monge]
constructive geometry [monge]

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]
gaudi and cad [burry]

sweet article by mark and jane burry. [link to paper]

general investigation of curved surface [gauss]
general investigation of curved surface [gauss]

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]

nice article by coolidge on gauss and his milieu. [link to paper]

las lineas de gaudi [hererra]
las lineas de gaudi [hererra]

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]

this is franz reuleaux, the founder of modern machine design. like paul rudolph, he strode “like a brush cut colossus across [...]

piet hein
piet hein

piet hein’s bronz superaeg. they have a statue of this guy somewhere, right?

simple computer programming to enhance spatial recognition [burry]
simple computer programming to enhance spatial recognition [burry]

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]

very interesting article. if you’re into math you probably have to read this. [link to paper]

bent pyramid
bent pyramid

i think this is rad. i’d love to have heard the discussion – prior to this ostensible resolution – between [...]

battlements [monge]
battlements [monge]

drawing of battlements by gaspar monge

the camera obscura
the camera obscura

an early image by a famous englishman of the camera obscura.

museum of technology [florence]
museum of technology [florence]

an image from the catalog of the museum of technology in florence.

notes on quad typology
notes on quad typology

this is – well – notes on quad typology.

poeme de l’angle droit [corbusier]
poeme de l’angle droit [corbusier]

a solar geometry drawing by le corbusier. from poeme de l’angle droit.

tri reduction
tri reduction

tri-reduction image from a computer science classroom text by piegl. [link to classwork]

geometrie projective [monge]
geometrie projective [monge]

an image from gaspar monge’s geometrie projective. founder of projective geometry, constructive geometry and quite a bit more. arguably it [...]

shadow path drawing
shadow path drawing

a drawing of the path of a shadow for the latitude of zurich.

thompson coupling with yokes
thompson coupling with yokes

an image of a modified universal joint from wikipedia.

tnb frame
tnb frame

curve tangent, normal and binormals from wikipedia.

planar quad typology
planar quad typology

know your quads. image from wikipedia.

kinematics: geometry of pure motion
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
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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