curve or locus] of a segment AB, in English. The set of all the points from which a segment, AB, is seen under a fixed given angle.
When you construct l'arc capable —by using compass— you obviously need to find the centre of this arc. This can be easily done in GH in many ways by using some trigonometry (e.g. see previous —great— solutions). Whole circles instead of arcs provide supplementary isoptics —β-isoptic and (180º-β)-isoptic—. Coherent normals let you work in any plane.
Or you could just construct β-isoptics of AB by using tangent at A (or B). I mean [Arc SED] component.
If you want the true β-isoptic —the set of all the points— you should use {+β, -β} degrees (2 sides; 2 solutions; 2 arcs), but slider in [-180, +180] degrees provides full range of signed solutions. Orthoptic is provided by ±90º. Notice that ±180º isoptic is just AB segment itself, and 0º isoptic should be the segment outside AB —(-∞, A] U [B, +∞)—. [Radians] component is avoidable.
More compact versions can be achieved by using [F3] component. You can choose among different expressions the one you like the most as long as performs counter clockwise rotation of vector AB, by 180-β degrees, around A; or equivalent. [Panel] is totally avoidable.
Solutions in XY plane —projection; z = 0—, no matter A or B, are easy too. Just be sure about the curve you want to find the intersection with —Curve; your wall— being contained in XY plane.
A few self-explanatory examples showing features.
1 & 5 1st ver. (Supplementary isoptics) (ArcCapableTrigNormals_def_Bel.png)
2 & 6 2nd ver. (SED) (ArcCapableSED_def_Bel.png)
3 & 7 3rd ver. (SED + F3) (ArcCapableSEDF3_def_Bel.png)
4 & 8 4th ver. (SED + F3, Projection) (ArcCapableSEDProjInt_def_Bel.png)
If you want to be compact, 7 could be your best choice. If you prefer orientation robustness, 5. Etcetera.
I hope these versions will help you to compact/visualize; let me know any feedback.
Calculate where 2 points [A & B] meet at a specific angle is just find the geometrical locus called arco capaz in Spanish, arc capable in French (l'isoptique d'un segment de droite) or isoptic [curve or locus]
of a segment AB, in English. The set of all the points from which a segment,
AB, is seen under a fixed given angle.…
utput. A typical parametric analysis involves either toggling input parameters while observing an output response in a cyclic trial and error feedback loop, or by adopting an optimisation approach to search for the 'best' output value based on some target of interest (e.g. in parametric simulation analysis studies).
Either-way, it remains cognitively difficult to keep track of input-output relationships, especially in multi-input parameter scenarios. Furthermore, optimisation outcomes are one-off outcomes that do not provide insight into the underlying input-output causality that is responsible for generating the output in the first place. As a result, it becomes challenging to control the computational workflow intuitively.
Inference Lab is a plug-in that overcomes such challenges by introducing bi-directionality between inputs and outputs, within Grasshopper. In other words, Inference Lab facilitates both forward and inverse computations. An inverse computation implies the ability to set a target output value of interest and instantly reveal the input distributions that are likely to cause the set target. This facilitates an instant cross-section of the input-output mapping. Inference Lab enables interaction with the input and output distributions to explore the cause and effect bi-directionally.
The following demo video illustrates the potential of Inference Lab for a structural design scenario. Given a typical parametric FEA simulation set up, Inference Lab was used to identify 1) how the design parameters influence the maximum deflection and the weight of the cantilever truss structure, and 2) identify the parameter ranges that satisfy specified targets on max deflection and weight.
Under the hood, Inference Lab builds a statistical representation of the input-output workflow from data that is generated automatically from the parametric definition within Grasshopper. The statistical representation takes advantage of a marriage between machine learning and Bayesian inference (a classic technique from probability theory).
More literature about the research underlying Inference Lab can be found here.
Inference Lab is presently composed of four main components: 1) PSlider, 2)POutput, 3)DataGenerator, 4)Model Builder.
Notes:
Inference Lab is a by-product of my very recent PhD work so please forgive me for the lack of information. I intend to update this page with structured tutorials explaining the potential of Inference Lab in various scenarios.
The Inference Lab plug-in is not yet available for download as I am in the process of ironing out a few minor issues. I hope to share an alpha version very soon. …
the use of digital technologies as architectural design tools. The workshop " Computer Aided Design: parametric design and digital fabrication " aims to do some introductory teaching in the use of some of these tools.
The workshop will focus on the use of computational models of parametric behavior for generating architectural forms. The generative capacity of these models it will be tested in the development of designs defined by repetitive non-standard components, based on the parametric control of its variations and series differentiations. This process will be developed by the use of a three-dimensional modeling software - Rhinoceros, associated with an application for visual programming - Grasshopper.
The last day of the workshop is dedicated to the use of digital manufacturing tools in architecture. Part of the work will take place at the facilities of the Institute of Design of Guimarães (IDEGUI) providing for the use of their laboratories and manufacturing CNC machines (computer numerically controlled).
At the end of the workshop, it is intended the students to understand that the use of digital technologies in architecture can overcome representational functions, and their integration in the design conception, analysis and construction enriches the methodology of project development.
Terms & Participants
The workshop will take place at the School of Architecture of the University of Minho (Campus Azurém, Guimarães) and the Institute of Design of Guimarães (Couros, Guimarães).
The workshop is pointed at students who attend the 3rd year and 4th year from MiArq, EAUM.
The maximum acceptance is 20 students and a minimum of 10 students.
Deadline for entries is April 11 and must be performed by eaum.pac@gmail.com.
Program summary :
Day 23 April 14 -20h
Introduction to 3D modeling in Rhinoceros. Regular geometries, ruled surfaces and NURBS surfaces.
Day 30 April 14 -20h
Parametric design in architecture. Introduction to methods of visual programming.
May 1, 9 -13h 14 -18h
Development of a design idea by the use visual programming processes in Grasshopper.
May 2, 9 -13h 14 -18h
Introduction to methods of digital fabrication. Manufacture physical models of the proposals made.
It is expected that this meeting will take place in the IDEGUI labs.
team:
Bruno Figueiredo ( Lecturer, EAUM )
Paulo Sousa ( PhD candidate , EAUM )
Nuno Cruz ( Invited Lecturer , EAUM )
Cláudia Alvares ( 5th year MiArq student , EAUM )
Javier Bono ( 4th year MiArq student, EAUM )
João Amaro ( 5th year MiArq student, EAUM )…
y (movement, protection, temperature regulation) but also the evolution of cultural expression precisely by exceeding the purely indexical performative relations. Designing not only for the needs but for the desires.
Computational couture looks at the creation of exclusive custom-fitted clothing (typical of haute couture) through the lens of a systemic approach, extending the sartorial techniques with 3D modeling and computation-based approaches developed in Rhinoceros and the visual programming environment Grasshopper.
Aim of the workshop is to exert, infuse and expand the sartorial sensibilities to body proportions and dress making into an algorithmic approach that loops through design and fabrication by means of laser cutting and 3d printing for the design and production of a garment. Participants will be divided in teams focusing on specific aspects of the garment related to the production technique (laser cutting or 3D printing).
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WORKSHOP | calendar
Day 1
Introduction to algorithms and computational design for creative disciplines Basics of 3D modeling in Rhinoceros Basics of Grasshopper Introduction to basic sartorial techniques
Day 2 Testing design options for the dress in Grasshopper (tutored work)
Day 3 Fabrication session . file preparation . parts testing and pre-assembly
Day 4 dress fabrication and assembly
Day 05 finalization of dress final presentation
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WORKSHOP | registration
FEE FOR PARTICIPANTS
Early bird (until 4/5): 250 € Full fee (from 5/5 until 15/5): 350 €
The fee includes materials and fabrication. Plane tickets and accommodation are not included in the fee.
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REGISTRATION (until 15/5/2015)
For registration please write at :
beyond@iaac.net
for more info visit:
http://beyond.iaac.net/?page_id=1620
…
metric/parəˈmɛtrɪk/adjectiverelating to or expressed in terms of a parameter or parameters.art/ɑːt/nounthe expression or application of human creative skill and imagination, typically in a visual form such as painting or sculpture, producing works to be appreciated primarily for their beauty or emotional power.// Summer School 2017 3 day intensive workshop for design students & professionals will delve into computational & parametric methods (using Rhino3D & Grasshopper3D) to create data-driven art installations, physically manifested into a space through hands-on fabrication & assembly.The experimental studio will run across 2 cities in India (New Delhi & Mumbai) and investigate the agenda of ‘filling the void’ at art installation scale, through the use of computation and parametric methods. Studio is designed as a 3-day event in both cities comprising of technical tutorials, teaching sessions, prototyping & presentations culminating in a symposium / round-table conference / open discussion with leading / emerging professionals that demonstrate computation, parametric design or alternative techniques in their work / practice / academia. // Cities & Dates*New Delhi – 30th June to 2nd July 2017 (Friday to Sunday)Mumbai – 7th July to 9th July 2017 (Friday to Sunday)//VENUE: DELHI: Startup Tunnel, Vihara Innovation CampusD-57, 100 Feet Rd, Pocket D, Dr Ambedkar Colony, Chhattarpur, New Delhi - 110074MUMBAI: Raffles Design International, MumbaiHi Life, 2nd Floor, Phirozshah Mehta Road,Santacruz (W). Mumbai – 400054// Registration DatesAll Registrations End 4 days prior to workshop start date (Or till seats last)// About rat[LAB] EDUCATIONrat[LAB] EDUCATION is an initiative by rat[LAB]-Research in Architecture & Technology (www.rat-lab.org) to start a new discourse in architecture & parallel design disciplines with the use of ‘computational design’ & it’s various subsets. Spread across various cities / countries, we are establishing a global dialogue in the domain of computational design by actively organizing and participating in workshops, lectures, presentations & symposia. While rat[LAB] has taken a top-down approach of exploring computational design through industry, a parallel, bottom-up approach is also in-line to involve students of all levels, from design & related backgrounds.…
pproach that will hopefully work. There's still the last part of putting it all together, but I figured I'd post my progress so you could play around with it if you wanted. This is kind of a lucky situation since its only single face breps and simple trims that are being worked with.
I've attached 3 definitions to this post. The first is my reorganization of your original definition, which creates the surfaces from the point grid and culls out any surfaces that are not "on" the surface so that we don't have to deal with them later down the line. This is done through a small VB component which determines whether any of the corner points lie on the surface. If it does it keeps the surface, if not, then it doesn't. The only issue with this is that in your example file, there are some surfaces which the corner points do not lie on the surface, yet the surface that they create spans the underlying surface. At this point I'm not worrying about those. You mentioned that you only want the surfaces that lie at the edge...this can be done by testing whether all 4 corner points lie on the trimmed surface or not.
The second definition is a coded version of the project function. In the example it will project to all the breps supplied, yet in the final version this probably won't be desired. Also, the direction (z axis) is hard code...this could be swapped out if desired.
The third definition is an shot at trimming a surface with an input curve (that curve happens to be projected). I tried this many ways, but found that the function RhinoCutUpSurface seamed to work alright. The other attempts at doing this directly with through functions available for OnBrep were unsuccessful and very complex. Luckily because the underlying brep is an single, untrimmed surface this function works well for us, but in situations where we have a trimmed or multiface brep we'd be up a creek with out a paddle. The function creates an array of breps, but in our case it will create essentially the same surface split by our curve and joined together as a single brep with two (possibly more) faces. All we have to do is find out which face we want to keep and duplicate that into a separate brep and pass it out of the component. In the example file I'm determining which on to keep based off of the distance from a test point to the centroid of each face.
The other option here, which would trump the need for projection or trimming, would be to extrude the edge curves through the surface in question, and use the BrepSplit function which requires two breps. There would still be the need to sort out what to keep, but if this approach were used, all the split pieces would be separate breps.
So, all the pieces are pretty much working separately, all that I have left to do is put them all together in the base definition. The only thing that is really the hump with that is determining exactly which face to keep. My idea at the moment is to find out which corner of the surface does not like on the base surface and use that to determine which face will be thrown out. This might be one of the easier ways, but will not be rock solid. The other option is to pull a test point that's on one of the faces to the base surface and the other face, then use the distance from test point to the point on the base surface and the distance to the pulled point on the other face to the base surface to figure out which one to keep.
As to sectioning off parts of the solution, you could do this in a number of ways, but here's two simple ones. In a scripting component just add a boolean value to the inputs and put the whole script inside of an if statement that looks at that boolean value. With components just add a boolean gate or a null pattern componet anywhere you want in the stream. Again, hook in a boolean toggle value, and that will stop the info from going to components that are downstream.…
umbers behave differently from the reals, in that when they are squared they give a negative result. They are written as multiples of the imaginary unit i, which is defined so that:
i*i=-1
Complex numbers are numbers which have two parts (hence the name complex) - a real part and an imaginary part.
For example:
3+4i,
or more generally:
a+bi, where a and b are some real numbers.
Well that's a definition, but I guess you might be wondering what is the point of them - I've not said anything yet about why they are interesting and useful...
Solving cubic equations was one of their first uses, but I doubt that is what most of you are interested in.
Where they really get fun is when you start looking at them geometrically.
The Argand plane is a setting that allows us to treat complex numbers a bit like vectors.
Each complex number a+bi defines a point relative to an origin (0,0), much the same as a vector with an x and y component.
Like vectors we can add and subtract them to get a new point.
But when we multiply them, unlike vectors, we add the angles (measured anti-clockwise from the positive real axis, also called the argument) and multiply the lengths (or the modulus of each number).
This all follows naturally as a consequence of the definition of i as the square root of minus one.
........
That is just dipping a toe into the great depths.
Complex number math, and in particular complex Analysis (calculus with complex numbers) is a vast subject that I obviously can't cover much of here.
If you are interested in learning more :
The Math department at Cal State Fullerton has some very nice Complex Analysis pages.
Chapters 5 and 6 of the film Dimensions covers complex numbers very visually. You can watch it online here, or read the description here.
Complex numbers on Wikipedia
on MathWorld
Hans Lundmark's complex analysis pages
The book Indra's Pearls is about making certain types of fractals with complex numbers, and includes a good introduction, along with lots of pseudocode.
To really engage with some of the true depth and power of complex numbers I particularly recommend the beautiful Visual Complex Analysis. This was the book that made me love this subject.
I'm really looking forward to seeing more designers make use of complex numbers. I think it is a wonderful tool. It is an advanced branch of mathematics, requiring some serious study to understand, but because of its strong geometric connections, I think relatively accessible to those who tend to think more visually. Now that David has included them in Grasshopper, starting to explore them should be easier than ever.…
Added by Daniel Piker at 4:38am on November 25, 2009
this occasion, but it could be converted for DT in no time). Requires some minutes more as regards ... some things, but the usual update is due to some days.
Bad news: it's C#
Good news: User's Manual :
1. That thing (the C#, not me) after sorting (in a "sequential way", so tho speak) the panels (their order was chaotic) allows you to start the massacre by locating a focus of interest (and the user controllable +/- Range derived from it).2. The Range is variable (obviously) and takes care not to exceed the indices of the panel list (OK, that's elementary).
3. If you click the right button (Sadistic Q: where is it? he he) things are deleted and a new constantly self-updating list is your new List. Thus the massacre of panels is totally controllable. An autoZoom thing is also included (free of charge, but it's a bit nerve braking). Zoom factor is variable as well.
4. Then you move over (via the index slider) and start the massacre again. Notice the change of Range.
5. If you turn begin to false (initialization) and then begin to true > start all over again.
6. The other C# thing allows you to increment the index slider in a rather more convenient way. It's a bit weird: it uses delegates (A delegate is an object that knows how to call a method) and events (An event is a construct that exposes just the subset of delegate features required for the broadcaster/subscriber model - but don't ask what this means, he he) in order to talk with your slider (with a defined NickName) and perform the required value control.
NOTE: without realizing it you've just (indirectly) asked one of the most important questions even exposed in this Noble Forum. I hear you : what question? Well ... wait some days for the mother of all threads: "Total control in collections on a per Item basis"
may the Force (the dark option) be with you (and me)
best, Peter…
Rubicon (ii.e. some programming language [I would strongly recommend C#] > the Dark Side > years of pain + tears > hell or heaven?).
Back to that pile or worms of yours (I hate "simple" cases, he he).
0. if you want rounded lips ... Styrofoam is the only solution (+ sanding [buy a mask and some decent cigars ... path is long and hilly]). if not > goto 5/6.
1. by what means you think that you can shape Styrofoam? Do you have access to some CNC foam cutter? Or the only tools that you have are ... 2 hands and a knife? (or a thermal cutter). Accuracy is a BIG issue here: chances are that panels won't "fit". Solution is available in the forthcoming V3.
2. male "protrusions" on Styrofoam is kinda 3rd marriage > AVOID at any cost > this would end up in tears.
3. female ones are safe ... thus we need a proper "insert stripe" that must be compatible with the Styrofoam adhesive and strong enough to hold the pieces until the glue cures (it takes time, there's no instant Styrofoam adhesives around). Maybe aluminum (hard to cut by hand) or balsa (very expensive) or plywood (best option).
4. Some CNC foam cutters they can't shape the female "crevices" > be prepared (a thermal tool may(?) cut the mustard).
Note: panels made with Styrofoam look miserable because reality and theory differ. They also look miserable as well (and kitsch and miserable).
5. making the panels with (marine) plywood ... well this yields far superior accuracy and therefor aesthetics but (a) yields max panel thickness constrains, (b) introduces max panel dimensions constrains (c) yields packing issues [waste material] and (d) requires a totally different "connection" approach: it doesn't make sense to do some female crevice ... unless the plywood is very thick (expensive + heavy).
Note: Designing (pro option) self supporting "rib" reinforced sandwich composite panels ... well this is a bit far and away from what you can handle at present time.
So ... I've suspended the male/female thingy until you decide the final policy: it's the material/detailing that should dictate the method(s) AND the whole design and not the other way.
This is what we call bottom-top design approach (dinosaur Architects follow the top-bottom: disastrous + naive + naive + naive + avoid).
6. Plan ZZTop: make a stand alone autonomous perimeter frame per panel (marine plywood: imagine "thickening" these abstract beams shown inwards per panel) then join these frames by means of bolts (easy) and fill the "gaps" with Styrofoam (hmm). Note: you can reinforce the frames by a variety of means (say: a secondary "beam" sub-structure) achieving a rather elegant all overall solution.
This is the best solution by roughly 666 miles.
…
.
as you can see I devided it into 3 parts.
part1: when I try to connect the new shape to the rest of your definition,the plan z,which gives the panels individually when baked(so I can work them individually)doesn't work,apparently there is something missing when I want to explode it.
that is why I connected it to the definition that I already had(part2)( the only cool part about that one is the attractor point)well it kind works,but not really(if you zoom in you can see that there are some parts overlapped and really not looking good).however I much rather your definition because of the option it gives me to work with individual panels when baked(planz).
however it's around 4 am. and I have decided to make some major changes in design (to prepare some closed and open space,I'm talking about part3 that works with the fibonacci like shape,I know it doesnt look really good,but seriously 4am.!).the major problem is that I tried to make a form like that with kangaroo so the shape would be smoother but I wasnt really able to make it with kangaroo,that's why I made it manually in rhino.I was wondering if you can help me make something like this ( not exacly like this) with kangaroo or (if impossible to be made with kangaroo)even helping me optimizing it so it doesnt look as bad,as you can see when I try to work the grasshopper definition on this shape,it gives me different panel sizes for each surface and all of them are to small compared with the overall size of the so-called pavillion(give it 200-500 sq feet (20-50 sq.m).and any suggestions about the shape would be appreciated,please forgive my basic knowledge of rhino and grasshopper,and let's say I wanted to make a shape like these(don't laugh please!)
u promised not to laugh!!!
please help me find the right way!
…