ay how many valid permutations exist.
But allow me to guesstimate a number for 20 components (no more, no less). Here are my starting assumptions:
Let's say the average input and output parameter count of any component is 2. So we have 20 components, each with 2 inputs and 2 outputs.
There are roughly 35 types of parameter, so the odds of connecting two parameters at random that have the same type are roughly 3%. However there are many conversions defined and often you want a parameter of type A to seed a parameter of type B. So let's say that 10% of random connections are in fact valid. (This assumption ignores the obvious fact that certain parameters (number, point, vector) are far more common than others, so the odds of connecting identical types are actually much higher than 3%)
Now even when data can be shared between two parameters, that doesn't mean that hooking them up will result in a valid operation (let's ignore for the time being that the far majority of combinations that are valid are also bullshit). So let's say that even when we manage to pick two parameters that can communicate, the odds of us ending up with a valid component combo are still only 1 in 2.
We will limit ourselves to only single connections between parameters. At no point will a single parameter seed more than one recipient and at no point will any parameter have more than one source. We do allow for parameters which do not share or receive data.
So let's start by creating the total number of permutations that are possible simply by positioning all 20 components from left to right. This is important because we're not allowed to make wires go from right to left. The left most component can be any one of 20. So we have 20 possible permutations for the first one. Then for each of those we have 19 options to fill the second-left-most slot. 20×19×18×17×...×3×2×1 = 20! ~2.5×1018.
We can now start drawing wires from the output of component #1 to the inputs of any of the other components. We can choose to share no outputs, output #1, output #2 or both with any of the downstream components (19 of them, with two inputs each). That's 2×(19×2) + (19×2)×(19×2-1) ~ 1500 possible connections we can make for the outputs of the first component. The second component is very similar, but it only has 18 possible targets and some of the inputs will already have been used. So now we have 2×(18×2-1) + (18×2-1)×(18×2-1) ~1300. If we very roughly (not to mention very incorrectly, but I'm too tired to do the math properly) extrapolate to the other 18 components where the number of possible connections decreases in a similar fashion thoughout, we end up with a total number of 1500×1300×1140×1007×891×789×697×...×83×51×24×1 which is roughly 6.5×1050. However note that only 10% of these wires connect compatible parameters and only 50% of those will connect compatible components. So the number of valid connections we can make is roughly 3×1049.
All we have to do now is multiply the total number of valid connection per permutation with the total number of possible permutations; 20! × 3×1049 which comes to 7×1067 or 72 unvigintillion as Wolfram|Alpha tells me.
Impressive as these numbers sound, remember that by far the most of these permutations result in utter nonsense. Nonsense that produces a result, but not a meaningful one.
EDIT: This computation is way off, see this response for an improved estimate.
--
David Rutten
david@mcneel.com
Poprad, Slovakia…
Added by David Rutten at 12:06pm on March 15, 2013
ss lots of questions,Hope guys show me some more different ways to figure out thoes kinds of problems,Thanks.
That is a construction project,the balconies should be overhang between 1 to 3 meters.
Program A is a patten consist of increasing balconies as the floors get upper.(In the picture is 29 at the first floor and ended with 2 more balconies for each floor, )Each part for a different floor,the twelfth floor have 29+(12-1)*2=51 balconies.
Questions From A,
A1:How to use the {(series)} to creat this atrium,As the floors increase the number of the balconies change by arithmetic progression.
A2:How to control the angle of the balconies,both the angle with floor and the balconies ending part.
Program B is use line to shape the commercial atrium,program A is more small pieces of rectangles.The {(TweenCrv)} command.
Questions From B,
B1:How to draw random points between the 1 to 3 meters region of the balcony,And those point form a shape also belongs to that region.
B2:Use a curve or other ways to control the changing speed of each floors' balcony.Right now the balcony is a Linear change.
Thanks for your Help.
Q1:Is there a way in Grasshopper to control the model to Modulus,less different unit parts to build such a Atrium.(For Exanple,only use 900mm and 600mm two different width of the Glass railings to bulid the model A OR B)…
te some cut sheets, but not to optmize material, rather define some cut lines. Everything that I am cutting is made of planar wood elements, but there are very specific geometries (mostly straight lines) and I have to put tolerances and radiasas at the corners in order to cut on the cnc mill. Spending time to figure out how to automate is necessary, but I am stuck!
One thing the definition is doing is taking my brep modeled components in rhino and makking them into 2d close curves and laying them side by side. It works...not ideal as its not layed out in a sheet, but that is not the most important part.
Another particular problem is that you will see some notches in the curves, which other pieces will slip into, so different slots need different specific offsets (making them larger) as a toelrance to allow for material play. This I don't even know how to set up so maybe it will just have to wait.
THE MAIN QUESTION, and super important would be, LIFESAVER:
At all 'inward' corners...which I think will always mean concave corners (most are 90 degrees, but are within to sides, instead of a corner sticking out). I'm sure its obviousy, but the reason being the outward corners a circular dril bit can cut, but inward ones need an arc profile extended beyond where the corner of the other piece will fit into. The drill bit i am using is 6mm, so 6mm diamters arcs is what i'm working with.
I have managed to put such an arc at every vertices of each cut piece. The problem being some stick outward isntead of cutting into the piece. So each one needs to be orieneted correctly. Ideally they would also only draw into inward corners, but I can always delete them out. I think maybe I am missing a more logical mathematical way of defining?
For these geometries it is not very important which side the half circle arc in on in the inward corners, but I also have some geometries that I will have to control where the circles face according to the rest of the cut piece.
The cutouts in the middle of the pieces that are curves do not need such corners obviously.
The picture is an example drawn
I hope this isn't too specific and long. in general though automating fabrication, and controling pracitcal math and orientation problems like this is itnersting to me!
THANKS…
perienced with grasshopper, but so far I've managed to combine the following:
Giulio Piacentino's "Catenary arch from height" script
Pirouz Nourian's "Mobius" script (Obtained from a friend)
End Result:
Here's where I'm stuck: I want the mobius twist to revolve around the midpoint of the arch, but the script uses the input values to determine the endpoints, resulting in a weird sinuous shape when viewed from above. Also, the secondary end points (generated by the mobius script, determining the width of the surface) are generated by default along the z axis, resulting in an arch that only touches the "ground" at two points. I attempted to work around this issue by trying to force the zHeight parameter to correspond with the y axis (thus rotating the arch 90 degrees so it would lay "flat"), but the script interprets the third point as a value and not as an actual point to bisect. I thought this might be an issue with the C# component that I obtained from Giulio Piacentino's script, so I attempted to tinker around with the source code. Unfortunately, I'm not fluent in C# so I only managed to mess everything up (I've since recovered the code from the cache). Anybody got some ideas? -BC …
th one element which is a list of 10 numbers?
I can flatten it and get (I think) a list of 10 elements (even though when I hover over the output of "Flatten" it says "Tree(T) as tree"). I'm surprised I can flatten at all what would appear to common sense to be a simple list of 10 numbers.
I'm hoping that if I can get this answered it will become obvious why we have trees of lists rather than just lists of lists as you would in most computer languages. That's my real goal - to understand the purpose of adding what seems like an unnecessary complication - trees - to the concept of lists in GH. It seems to me as though a "tree" is just a list of other "trees" until you get to the leaves where you can have "lists" which are identical to trees but can have something other than a tree in them. Whether you can have lists of trees or trees with no lists I'm unclear on. Do the leaves of trees have to be lists? Do lists have to be contained in trees? It would appear from the series example where a tree is produced for no obvious reason to contain the list that this is the case but given that you can flatten it, I guess not - or is the "List" I see in the param viewer just another type of "tree"?
I've found many tutorials that talk about how to manipulate trees and lists and I've managed to get along fairly well with them so far, but nothing seems to explain the reasoning behind the existence of trees and the philosophy for how and when they should be used and when lists should/could be used and precisely what the difference is between them.
Sorry to be long winded but I'm so confused!
Darrell Plank
P.S. I've seen David Rutten's diagram with the colored leaves in Grasshopper Primer 2 and that seems helpful. It would appear that trees can only have lists at their leaves and lists can't have trees although I'm not sure that it comes out and says that directly but at least there are no examples of this shown in his tree diagram. I thought I had it down pretty much so decided to test myself. Apparently I'm as confused as ever:
It certainly appears to me that this tree has two levels - a first level with one limb and a second with 10 limbs - and that I should be able to index it with {0;0} and retrieve a tree with one item in it - the list {0}. The panel data seems to confirm this with indices of {0;0;0}, etc. so I put this path in with quite a bit of confidence that it would work and...bust. The error reads "Path {0;0} does not exist within this tree". Huh? Again, I'm just so confused.…
Added by Darrell Plank at 12:17am on January 20, 2015
ers and researchers, programmers and artists, professionals and academics who come together for 4 days of intense collaboration, development, and design.
The sg2012 Workshop will be organised around Clusters. Clusters are hubs of expertise. They comprise of people, knowledge, tools, materials and machines. The Clusters provide a focus for workshop participants working together within a common framework.
Clusters provide a forum for the exchange of ideas, processes and techniques and act as a catalyst for design resolution. The Workshop is made up of ten Clusters that respond in diverse ways to the sg2012 Challenge Material Intensities.
Applicants to the sg2012 Workshop will select their preferred cluster from the following:
Beyond Mechanics
Micro Synergetics
Composite Territories
Ceramics 2.0
Material Conflicts
Transgranular Perspiration
Reactive Acoustic Environments
Form Follows Flow
Bioresponsive Building Envelopes
Gridshell Digital Tectonics
More information about the Workshop and Clusters can be found here:
http://smartgeometry.org/index.php?option=com_content&view=article&id=116&Itemid=131
The application process will close on January 15th, 2012.
Full Fee $1500
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Fees include attendance to both the workshop and conference from March 19th-24th.
Reduced Fee and Scholarships are available only for Academics, Students and Young Practitioners, and are awarded during a competitive peer review process.
sg2012 takes place from 19-24 March 2012 at EMPAC (http://empac.rpi.edu/) and is hosted by Rensselaer Polytechnic Institute in Troy, upstate New York USA. The Workshop and Conference will be a gathering of the global community of innovators and pioneers in the fields of architecture, design and engineering.
The event will be in two parts: a four day Workshop 19-22 March, and a public conference beginning with Talkshop 23 March, followed by a Symposium 24 March. The event follows the format of the highly successful preceding events sg2010 Barcelona and sg2011 Copenhagen.
sg2012 Challenge Material Intensities
Simulation, Energy, Environment
Imagine the design space of architecture was no longer at the scale of rooms, walls and atria, but that of cells, grains and vapour droplets. Rather than the flow of people, services, or construction schedules, the focus becomes the flow of light, vapour, molecular vibrations and growth schedules: design from the inside out.
The sg2012 challenge, Material Intensities, is intended to dissolve our notion of the built environment as inert constructions enclosing physically sealed spaces. Spaces and boundaries are abundant with vibration, fluctuating intensities, shifting gradients and flows. The materials that define them are in a continual state of becoming: a dance of energy and information. Material potential is defined by multiple properties: acoustical, chemical, electrical, environmental, magnetic, manufacturing, mechanical, optical, radiological, sensorial, and thermal. The challenge for sg2012 Material Intensities is to consider material economy when creating environments, micro-climates and contexts congenial for social interaction, activities and organisation. This challenge calls for design innovation and dialogue between disciplines and responsibilities. sg2010 Working Prototypes strove to emancipate digital design from the hard drive by moving from the virtual to the actual in wrestling with the tangible world of physical fabrication. sg2011 Building the Invisible focused on informing digital design with real world data. sg2012 Material Intensities strives to energise our digital prototypes and infuse them with material behaviour. They have the potential to become rich simulations informed by the material dynamics, chemical composition, energy flows, force fields and environmental conditions that feed back into the design process.
More information can be found at http://www.smartgeometry.org
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Added by Shane Burger at 12:29pm on December 13, 2011
try now to integrate Geco in an interdisciplinary architectural engineering studio: hoping we can show you some nice applications of your tool, I'll keep you update and sending now details by e-mail. Here the file (very welcome to be shared). It most probably contais trivial errors by me, thanks for helping and giving some tip! Gr. Michela
FILE:
Ok, right, I see the outputs update correctly. Origin of problems must be in some different mistake I do:
- Incident radiation: I am not sure I understand what is going on: why I get so many 'not a number' ? (The Galapagos report is full of NaNs).
Bio-Diversity: 0.887 Genome[0], Fitness=NaN, Genes [89% · 44%] { Record: Too many fitness values supplied } ...
Genome[7], Fitness=NaN, Genes [74%] { Record: No fitness value was supplied } ....
Genome[9], Fitness=NaN, Genes [37% · 11%] { Record: Genome was mutated to avoid collision Record: Too many fitness values supplied }
- Daylight calculations: the geometry accumulates withouth deleting the previous models. As a consequance, results almost do not change after few varations (so, outputs get updated but do not vary). In current daylight definition: the first object being imported is the one where the grid has to fit; its setting makes it cancelling all the other objects during import. All the others, do not delete anything when imported. When running loops (manual or GA) that vary parameters, the entire geometry do not get cancelled - so I guess the loop does not pass back by the cancelling step, but imports only the geometry which has been varied by the parameters using the setting of that import component only? I will then try again by changing the order of the operations, but if you have specfic tips, let me know.
THANKS!
…
next level.
This Parametric Design course will provide the participants with the necessary knowledge and ability to use Grasshopper, a free visual programming plugin in Rhinoceros; you will be guided through a series of hands-on exercises that highlight NURBS modeling and its concepts. We will introduce Grasshopper as a graphical algorithm editor tightly integrated with Rhino’s 3D modeling tools. You will also learn how Rhino is used to render models for visualization, translate 3D models for prototyping, and export 3D models into 2D CAD or graphics programs.
English is the course main language.
Location: Düsseldorf city center
Registration and buying Tickets
www.digitalparametrics.eventbrite.de
Course Calendar:
4 Days 6 hours each
Total duration 24h
2 weekends
Date:
Sat. 17 - Sun. 18 June
Sat. 24 - Sun. 25 June
10:00 - 17:00
Getting Started in Rhino. 2 days (17 - 18 June)
Getting Started in Grasshopper. 2 days (24 - 25 June)
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Participants will be given a certificate of participation at the end of the course.
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Course fees:
Professionals: 600€ (excl. MwSt.) Students: 500€ (excl. MwSt.) Students need to provide: Copy of current student ID or proof of student enrollment at University/School.
Group discounts:
Group of 3 professionals: 3x500 = 1500€ (excl. MwSt.)
Group of 3 Students: 3x400 = 1200€ (excl. MwSt.)
Participants are kindly asked to bring their own laptops and have pre-installed Rhino + Grasshopper.
Useful Resources:
Rhinoceros Installation (90 days full version trial available): http://www.rhino3d.com/download
Rhinoceros for Mac (includes Grasshopper) http://www.rhino3d.com/download/rhino-for-mac/5/wip
Grasshopper Free Installation: http://www.grasshopper3d.com/page/download-1
Grasshopper Free Plugins: http://www.food4rhino.com/app/lunchbox http://www.giuliopiacentino.com/weaverbird
Main Tutor:
Rihan
M.A. Dipl.Ing. Architect
Architect at RKW Architektur + Düsseldorf
For any questions about the course, please email: info@immersive-studio.com…