- nickname is rather the best approach - and not on active group, but that's irrelevant anyway).
Step back (assuming that you are talking about the "Tens_from_random_blah_blah" definition):
1. Engineering is the art of demystifying (or we are promising that anyway, he he). This means that you start defining (better: outlining) some topology for things based on some "generic" rules (like the ones applied for the masts,cables,cones etc etc). These things are kept in some kind of structure (Lists, DataTrees etc). Things are few in 99.99999% of cases (i.e. : even the biggest membrane "module" has, say, 20-50 masts per "module").
2. Then ... handling things "individually" (mostly modifying) becomes the most critical part. See this (an x "possible" solution by combining a myriad of "options" : a no cones membrane solution, in plain English):
3. But the above is impossible (for more than obvious reasons). You should deploy masts in some high/low sequence in order to achieve some meaningful convex/concave formation that could work.
4. This "works" : 5. This doesn't:
6. This works partially (the formation at the back is "flat" == undo able):
7. This is utterly kitsch (and faulty as the case6 - the back portion):
So it's quite obvious that without a (quite complex) capability to individually control things (in this occasion : mast heights) the whole definition is a waste of computer time. Additionally the more the solution is "demystified" (some curve is defined, some random points are created, some masts are in place, some cables appear etc etc) the more additional constrains are required in order to "narrow" the possibilities (In plain English : sliders should control other sliders as regards their min/max values, true/false, you/me etc etc).
Remember that we are talking about ONE (mast height) out of a myriad things that you should control "manually" (it's utterly pointless to mastermind some kind of "generic" rules - or use naive attractors etc etc) .You'll see the difference when I'll completely reform the definition by adding individual control upon anything.
PS: what about the blocks? (the real life stuff that actually make any solution possible). Can you imagine a 2nd set of "restrictions" imposed by "a child to his parent"? (Assembly/Component modeling , that is).
more soon
…
uick answers. Below you will find some suggestions, but don't think of them as rules and especially don't think of them as guarantees.
1. Choose a descriptive title for your post
Don't call your question "Help!" or "I have a problem" or "Deadline tonight!", but actually describe the problem you are having.
2. Be succinct but clear in your wording
People need to know some details about your problem in order to understand what sort of answers would satisfy you, but nobody cares about how angry your boss or how bad your teacher or how tight your deadline is. Talk about the problem and only the problem. If you don't speak English well, you should probably post in your native language as well as providing a Google Translation of your question.
3. Attach minimal versions of all the relevant files
If you have a GH/GHX file you have a question about, attach it to the post. Don't expect that people will recreate a file based on a screen-shot because that's a lot of pointless work. It's also a good idea to remove everything non-essential from a GH file. You can use the 'Internalise Data' menu option to cut everything to the left of a parameter:
If you're importing curves or Breps or meshes from Rhino, you can also internalise them so you won't have to post a 3DM file as well as a GH file. If you do attach large files, consider zipping them first. Do not use RAR, Ning doesn't handle it.
It is especially a good idea to post files that don't require any non-standard components if at all possible. Not everyone has Kangaroo or Hoopsnake or Geco installed so if your file relies on those components, it might not open correctly elsewhere.
4. Include a detailed image of the GH file if it makes sense
If your question is about a specific (group of) components, consider adding a screenshot of the file in the text of the post. You can use the Ctrl+Shift+Q feature in Grasshopper to quickly create nice screenshots with focus rectangles such as this:
5. Include links to online resources if possible
If you have a question about Schwarz Minimal surfaces, please link to a website which talks about these.
6. Create new topics rather than continuing old ones
It's usually better to start a fresh question, even if there's already a discussion that kinda sorta tangentially touches upon the same issue. Please link to that discussion, but start anew.
7. This is not a 'do my work for me' group
Many of us like to help, but it's good to see effort on our part being matched by effort on your part. Questions in the form of 'I need to do X but cannot be bothered to try and learn the software' will (and should) go unanswered.
7b. Similarly, questions in the form of 'How do I quickly recreate this facade that took a team of skilled professionals four months to figure out?' have a very low success rate.
--
David Rutten
Lead Grasshopper Development
Robert McNeel & Associates…
Added by David Rutten at 12:58pm on October 1, 2013
tema della modellazione parametrica con Grasshopper. Questa plug-in di Rhino consente di progettare, confrontandosi con un contesto evolutivo, attraverso la comprensione e l'utilizzo di parametri e componenti che influenzano la rappresentazione e la rendono dinamica componendo algoritmi. Nel corso verranno introdotte le nozioni base di Grasshopper approfondendo le metodologie della progettazione parametrica e le tecniche di modellazione algoritmica per la generazione di forme complesse.
Le informazioni teoriche saranno fornite in maniera accelerata ma organica e contestuale agli argomenti elencati. Per massimizzare i risultati, le lezioni saranno accompagnate da piccole esercitazioni pratiche.Argomenti trattati:- Introduzione alla progettazione parametrica: teoria, esempi, casi studio- Grasshopper: concetti base, logica algoritmica, interfaccia grafica- Nozioni fondamentali: componenti, connessioni, data flow- Funzioni matematiche e logiche, serie, gestione dei dati- Analisi e definizione di curve e superfici- Definizione di griglie e pattern complessi- Trasformazioni geometriche, paneling- Attrattori, image sampler- Data tree: gestione di dati complessiStrutturaIl corso ha una durata di 16 ore programmate nell'arco di 2 giornate con i seguenti orari: i giorni 10/11 e 11/11 dalle 10,00 alle 19,00 con pausa pranzo di un'ora.
PrerequisitiPer affrontare il corso è richiesta una conoscenza di base del software Rhino attraverso esperienze teoriche e pratiche. I partecipanti dovranno venire muniti di proprio laptop e con software Rhinoceros 5 o Rhinocero 4 perfettamente funzionanti.Alla fine del corso, verrà rilasciato l’attestato di partecipazione ad un corso qualificato certificato dalla McNeel, valido anche per l’ottenimento di crediti formativi universitari.
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llet Distance]
[Slider=0..1..10]-->[D][Fillet Distance]
[Slider=1..5..20]-->[F][Unit Z]
[Fillet Distance][C]-->[B][Extrude]
[Unit Z][V]-->[D][Extrude]
This still leaves the problem of having more than one of a single component on the canvas. Referral can be made unambiguous by simply picking the most recent component with the same name. But how do you indicate you want a second Polyline component?
Possible solutions:
Separators in the text:[Point=SetMultiplePoints]-->[V][Polyline]----------------------------------[Point=SetMultiplePoints]-->[V][Polyline]
Keywords or symbols to indicate the creation of a new component rather than the re-use of an existing one:new [Point=SetMultiplePoints]--> new [V][Polyline]new [Point=SetMultiplePoints]--> new [V][Polyline]
(2) is a lot more flexible and (1) may not work at all as it will prevent any reuse above and below the separator.
--
David Rutten
david@mcneel.com…
diseño, construcción y entendimiento de nuestro entorno.
BIM está poniendo a disposición de los diseñadores y gestores auténticas bases de datos que pueden generarse, conectarse y editarse de forma paramétrica, proporcionando una sólida capa de realidad a los ejercicios de diseño generativo y computación que son objeto de estudio en Algomad, el seminario que busca popularizar la programación y la parametrización en el diseño y en la experiencia de nuestro entorno construido.
Tras un paréntesis en 2015, Algomad vuelve con el objetivo de demostrar cómo una visión computacional del BIM es una oportunidad para mejorar la forma de trabajar de ingenieros, arquitectos, constructoras y operadores de edificios e infraestructuras, tendiendo un puente entre las técnicas de diseño digital más avanzadas y la realidad de la construcción.
Algomad 2016 tendrá lugar en el centro de Madrid, en IE School of Architecture and Design, IE University, los días 3, 4 y 5 de Noviembre de 2016 y comprenderá 4 talleres así como ponencias a cargo de expertos de primer nivel.
Estructura de Algomad 2016
Algomad 2016 se estructura en torno a tres áreas temáticas principales:
BIM, como la metodología total específica para el sector de la construcción.
Computación, englobando las aplicaciones de programación y parametrización al diseño de edificios e infraestructuras.
Realidad, como marco de trabajo, buscando siempre resolver problemas reales a través de los dos puntos anteriores.
Público objetivo
Arquitectos, arquitectos técnicos, ingenieros y en general académicos, estudiantes de últimos cursos y profesionales del mundo inmobiliario y de la construcción que compartan un interés por la digitalización de nuestro sector. Se espera un nivel mínimo en el uso de herramientas BIM y de parametrización. Algomad proporcionará formación adicional y gratuita en las herramientas básicas a emplear en los talleres para asegurar un correcto desempeño.…
as one element.
Thank you
Comment by karamba on October 7, 2014 at 11:27pm
Hello Patricio, divide the beams in such a way that each boundary vertex of the shell becomes an endpoint of a beam segment.
Best, Clemens
Comment by Llordella Patricio on October 8, 2014 at 8:30amDelete Comment
Hi Clemens,
I did what you suggested but now assemble element doesn´t work properly. Could you please tell me how to fix it? Thanks in advance, Patricio
8-10-14losa%20cadena.gh
Comment by karamba on October 8, 2014 at 11:59am
Hi Patricio, if you flatten the 'Elem'-input at the 'Assemble'-component the definition works. The triangular shell elements have linear displacement interpolations whereas the beam deflections are exact. In order to get correct results you should refine the shell mesh.
Best, Clemens
Comment by Llordella Patricio on October 9, 2014 at 8:35amDelete Comment
Hello, succeeds in creating the mesh to the slab, and built the beam segment, but when I see the deformations are not expected because the beam is deformed as the slab.
Thanks for the help
PS: maybe I'm using the program for a type of structure that is not the most appropriate, as I saw in the examples of other structures. But this type of structure is that students taught
best regards
Patricio
9-10-14%20Example%201.gh
Comment by karamba on October 9, 2014 at 10:46am
You could use the 'Mesh Edges'-component to retrieve the naked edges and turn them into beams - see attached file:91014Example1_cp.gh
Best regards,
Clemens
Comment by Llordella Patricio on October 15, 2014 at 3:41pmDelete Comment
Dear clemens
I was doing a rough estimate of the deformation, and I can not achieve the same result with Karamba. When I make a rough estimate of the result with Karamba beams and mine are very similar, I think the problem is when I connect the shell, because there are no similar results.
I sent the GH file, and an image of the calculation
The structure is concrete The result I get is 0.58cm
thank youPatricio
15-10-14%20Example.gh
Comment by karamba yesterday
Dear Patricio,
try to increase the number of shell elements. As mentioned in the manual they are linear elements. A mesh that is too coarse leads to a response which is stiffer than the real structure.
Best,
Clemens
…
Data matching is a problem without a clean solution. It occurs when a component has access to differently sized inputs. Imagine a component which creates line segments between points. It will have…
nd improvements. Many of the new features and components announced in the last release have become stable and have emerged from their WIP section. Additionally, after two years of work, we are happy to announce that we finally have full support of an OpenStudio connection within Honeybee, which has ushered in a whole host of new features, notably the modelling of detailed HVAC systems. As always you can download the new release from Food4Rhino. Make sure to remove the older version of Ladybug and Honeybee and update your scripts.
LADYBUG
1 - Solar Hot Water Components Out of WIP
After much beta-testing, bug-fixing, and general development, all of the Photovoltaic and Solar Hot Water components are now fully out of WIP! The main component is based on a Chengchu Yan's publication. Components have been added to Ladybug thanks to the efforts of Chengchu Yan and Djordje Spasic.. See Djorje’s original release post of the solar hot water components for more information on the components that just made it out of WIP.
2 - New Terrain Shading Mask Released in WIP
In addition to Djordje’s prolific addition of renewable energy components, he has also contributed a widely-useful component to generate terrain shading masks, which account for the shading of surrounding mountains/terrain in simulations. While initially added to assist the solar radiation radiation and renewable energy components, the component will undergo development to optimize it for energy and daylight simulations over the next few months. Another new component called Horizon Angles can be used to visualize and export horizon angles. You can test them out now by accessing them in the WIP section. For more information, see Djordje’s release post on the GH forum here.
3 - New Mesh Selector Component
After realizing that the Optimal Shade Creator component has applications to a whole range of analyses, it has now been re-branded as the Mesh Selector and has been optimized to work easily with these many analyses. Specifically, the component selects out the portion of a mesh that meets a given threshold. This can be the portion of a shade benefit analysis meeting a certain level of shade desirability, the portion of a radiation study meeting a certain level of fulx, the portion of a daylight analysis meeting a certain lux threshold, and much more!
4 - Solar Adjusted Temperature Now Includes Long Wave Radiation
Thanks to a question asked by Aymeric and a number of clarifications made by Djordje Spasic, the Solar Adjusted Temperature component now includes the ability to account for long-wave radiative loss to the sky in addition to it original capability to account for short wave radiation from the sun. As such, the component now includes all capabilities of similar outdoor comfort tools such as RayMan. The addition of this capability is also paralleled by the addition of a new horizontalInfraredRadiation output on the ImportEPW component. See the updated solar adjusted example file hereto see how to use the component properly.
5 - Support for both Log and Power Law Wind Profiles
In preparation for the future release of the Butterfly CFD-modelling insect, the Ladybug Wind Profile component now includes the option of either power law or log law wind profiles, which are both used extensively in CFD studies. Thanks goes to Theodoros Galanos for providing the formulas!
6 - New Radiant Asymmetry Comfort Components
Prompted by a suggestion from Christian Kongsgaard, Ladybug now includes components to calculate radiant asymmetry discomfort! For examples of how to use the components see this example file for spatial analysis of radiant asymmetry discomfort and this example for temporal analysis.
7 - Pedestrian Wind Comfort Component Released in WIP
In preparation for the impending release of the butterfly CFD-modelling insect, Djordje Spasic with assistance from Liam Harrington has contributed a component to evaluate outdoor discomfort and pedestrian safety. The component identifies if certain areas around the building are suitable for sitting, building entrances-exits, window shopping... based on its wind microclimate. Dangerous areas due to high wind speeds are also identified.You can check it out now in the WIP section.
HONEYBEE
1 - New HVAC Systems and Full OpenStudio Support
After a significant amount of development on the part of the OpenStudio team and two years of effort on the part of LB+HB developers, we (finally!) have full support for an OpenStudio connection within Honeybee. By this, we mean that any energy simulation property that can be assigned to a HBZone will be taken into account in the simulation run by the OpenStudio component. The connection to OpenStudio has brought with it several new capabilities. Most notably, you can now assign full HVAC systems and receive energy results in units of electricity and fuel instead of simple heating and cooling loads. This Honeybee release includes 14 built-in HVAC template systems that can be assigned to the zones, each of which can be customized:
0. Ideal Air Loads 1. PTAC | Residential 2. PTHP | Residential 3. Packaged Single Zone - AC 4. Packaged Single Zone - HP 5. Packaged VAV w/ Reheat 6. Packaged VAV w/ PFP Boxes 7. VAV w/ Reheat 8. VAV w/ PFP Boxes 9. Warm Air Furnace - Gas Fired 10.Warm Air Furnace - Electric 11.Fan Coil Units + DOAS 12.Active Chilled Beams + DOAS 13.Radiant Floors + DOAS 14.VRF + DOAS
Systems 1-10 are ASHRAE Baseline systems that represent much of what has been added to building stock over the last few decades while systems 11-14 are systems that are commonly being installed today to reduce energy use. Here is an example file showing how to assign these systems in Honeybee and interpret the results and here is an example showing how to customize the HVAC system specifications to a wide variety of cases. To run the file, you will need to have OpenStudio installed and you can download and install OpenStudio from here.
In addition to these template systems within Honeybee, the OpenStudio interface includes hundreds of HVAC components to build your own custom HVAC systems. OpenStudio also has a growing number of user-contributed HVAC system templates that have been integrated into a set of scripts called "Measures" that you can apply to your OpenStudio model within the OpenStudio interface. You can find these system templates by searching for them in the building components library. Here is a good tutorial video on how to apply measures to your model within the OpenStudio interface. Honeybee includes a component that runs these measures from Grasshopper (without having to use the OpenStudio interface), which you can see a demo video of here. However, this component is currently in WIP as OpenStudio team is still tweaking the file structure of measures and it is fairly safe to estimate that, by the next stable release of Honeybee, we will have full support of OpenStudio measures within GH.
2 - Phasing Out IDF Exporter
With the connection to OpenStudio now fully established, this release marks the start of a transition away from exporting directly to EnergyPlus and the beginning of Honeybee development that capitalizes on OpenStudio’s development. As such THIS WILL BE THE LAST STABLE RELEASE THAT INCLUDES THE HONEYBEE_RUN ENERGY SIMULATION COMPONENT.
The Export to OpenStudio component currently does everything that the Run Energy Simulation component does and, as such, it is intended that all GH definitions using the Run Energy Simulation component should replace it with the OpenStudio component. You can use the same Read EP Result components to import the results from the OpenStudio component and you can also use the same Energy Sim Par/Generate EP Output components to customize the parameters of the simulation. The only effective difference between the two components is that the OpenStudio component enables the modeling of HVAC and exports the HBZones to an .osm file before converting it to an EnergyPlus .idf.
For the sake of complete clarity, we should state that OpenStudio is simply an interface for EnergyPlus and, as such, the same calculation engine is under the hood of both the Export to OpenStudio component and the Run Energy Simulation component. At present, you should get matching energy simulation results between the Run Energy Simulation component and a run of the same zones with the OpenStudio component (using an ideal air system HVAC).
All of this is to say that you should convert your GH definitions that use the Run Energy Simulation component to have the OpenStudio component and this release is the best time to do it (while the two components are supported equally). Additionally, with this version of Honeybee you will no longer need to install EnergyPlus before using Honeybee and you will only need to install OpenStudio (which includes EnergyPlus in the install).
3 - New Schedule Generation Components
Thanks to the efforts of Antonello Di Nunzio, we now have 2 new components that ease the creation of schedule-generation in Honeybee. The new components make use of the native Grasshopper “Gener Pool” component to give a set of sliders for each hour of the day. Additionally, Antonello has included an annual schedule component that contains a dictionary of all holidays of every nearly every nation (phew!). Finally, this annual schedule component can output schedules in the text format recognized by EnergyPlus, which allows them to be written directly into the IDF instead of a separate CSV file. This will significantly reduce the size of files needed to run simulations and can even reduce the number of components on your canvas that are needed to add custom schedules. For more information, see Antonello’s explanatory images here and Antonello's example file here. You can also see a full example file of how to apply the schedules to energy simulations here.
4 - EnergyPlus Lookup Folder, Re-run OSM/IDF, and Read Result Dictionary
With the new capabilities of OpenStudio, we have also added a number of components to assist with managing all of the files that you get from the simulation. In particular, Abraham Yezioro has added a Lookup EnergyPlus Folder component that functions very similarly to the Lookup Daylight Folder component. This way, you can run an Energy simulation once and explore the results separately. Furthermore, we have added components to Re-Run OpenStudio .osm files or EnergyPlus .idf files within Grasshopper. These components are particularly useful if you edit these .osm or .idf files outside of Honeybee and want to re-run them to analyze their results in Grasshopper. Lastly, a component has been added to parse the .rdd (or Result Data Dictionary) file that EnergyPlus produces, enabling you to see all of the possible outputs that you can request from a given simulation.
5 - Electric Lighting Components Out of WIP
After Sarith Subramaniam’s initial components to model electric lights with Radiance in the last release, we are happy to report that they have been fully tested and are out of WIP. Improvements include support for all types of light fixture geometries and the ability to use the components in a more “Grasshoppery” list-like fashion. See Sarith’s original release post for more information and several example files showing how to use the components can be found here. 1 , 2 , 3 .
6 - Improvements to THERM Components
A number of bug fixes and improvements have been made to the THERM components in order to make their application more flexible and smooth. Special thanks is due to Derin Yilmaz , Mel King , Farnaz , Ben (@benmo1) , and Abraham Yezioro for all of the great feedback in the process of improving these components.
7 - HBObject Transform Components
After some demand for components that can ease the generation of buildings with modular zone types, two components to transform HBObjects with all of their properties have been added to the 00 | Honeybee section. The components allow you to produce copies of zones that are translated or rotated from the original position.
8 - Comfort Maps Supports PET and Integration of CFD Results
Thanks to the addition of the ‘Physiological Equivalent Temperature’ (PET) component by Djordje Spasic in the last stable release, it is now possible to make comfort maps of PET with Honeybee. PET is particularly helpful for evaluating OUTDOOR comfort with detailed wind fields at a high spatial resolution. As such, the new PET recipe has also been optimized for integration with CFD results. The windSpeed_ input can now accept the file path to a .csv file that is organized with 8760 values in each column and a number of columns that correspond to the number of test points. Components to generate this csv from Butterfly CFD results will be coming in later releases. Stay tuned!
As always let us know your comments and suggestions.
Enjoy!Ladybug Analysis Tools Development Team
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frontare il tema della modellazione parametrica con Grasshopper. Questa plug-in di Rhino consente di progettare, confrontandosi con un contesto evolutivo, attraverso la comprensione e l'utilizzo di parametri e componenti che influenzano la rappresentazione e la rendono dinamica componendo algoritmi. Nel corso verranno introdotte le nozioni base di Grasshopper approfondendo le metodologie della progettazione parametrica e le tecniche di modellazione algoritmica per la generazione di forme complesse.Le informazioni teoriche saranno fornite in maniera accelerata ma organica e contestuale agli argomenti elencati. Per massimizzare i risultati, le lezioni saranno accompagnate da piccole esercitazioni pratiche.Argomenti trattati:- Introduzione alla progettazione parametrica: teoria, esempi, casi studio- Grasshopper: concetti base, logica algoritmica, interfaccia grafica- Nozioni fondamentali: componenti, connessioni, data flow- Funzioni matematiche e logiche, serie, gestione dei dati- Analisi e definizione di curve e superfici- Definizione di griglie e pattern complessi- Trasformazioni geometriche, paneling- Attrattori, image sampler- Data tree: gestione di dati complessiStrutturaIl corso ha una durata di 16 ore programmate nell'arco di 2 giornate con i seguenti orari: i giorni 28/07 e 29/07 dalle 10,00 alle 19,00 con pausa pranzo di un'ora.DestinatariIl corso è rivolto a tutti coloro che hanno buone conoscenze di Rhinoceros e vogliono affrontare i nuovi metodi di progettazione in maniera consapevole attraverso il linguaggio visual scripting proposto dal software Grasshopper.PrerequisitiPer affrontare il corso è richiesta una conoscenza di base del software Rhino attraverso esperienze teoriche e pratiche. I partecipanti dovranno venire muniti di proprio laptop e con software Rhinoceros 5 o Rhinocero 4 perfettamente funzionanti.AttestatoAlla fine del corso verrà rilasciata l’attestato di partecipazione ad un corso qualificato McNeel valido per l’ottenimento di crediti formativi universitari.LuogoLe lezioni si terranno presso lo studio il Pedone in Via Muggia 33, 00195 ROMA…
ences, so not terribly important in the end. After all, it's not really worth going through a lot of trouble to get a 15% speed increase; 15% faster than slow is still pretty slow.
Also processor speed has pretty much peaked these past few years, there have been no more significant increases lately. Instead, manufacturers have started putting more cores on motherboards, which is something GH unfortunately cannot take advantage of.
Multi-threading (very high on the list for GH2) brings with it a promise of full core utilisation (minus the inevitable overhead for aggregating computed results), but there are some problems that may end up being significant. Here's a non-exhaustive list:
It's not possible to modify the UI from a non-UI thread. This is probably not that big a deal for Grasshopper components, especially since we can make methods such a Rhino.RhinoApp.WriteLine() thread safe.
Not all methods used by component code are necessarily thread safe. There used to be a lot of stuff in the Rhino SDK that simply wouldn't work correct or would crash if the same method was run more than once simultaneously. Rhino core team has been working hard to remedy this problem, and I'm confident we can fix any problems that still come up, though it may take some time. If components rely on other code libraries then the problem may not be solvable at all. So we need to make sure multi-threading is an optional property of components.
There's overhead involved in multi-threading, it's especially difficult to get a good performance gain when dealing with lots of very fast operations. The overhead in these cases can actually make stuff perform slower.
There's the question on what level should multi-threading be implemented. Obviously the lower the better, but that means a lot of extra work, complicated patterns of responsibilities and a lot of communications between different developers.
There's the question on how the interface should behave during solutions now. If all the computation is happening in a thread, the interface can stay 'live'. So what should it look like if a solution takes -say- 5 seconds to complete? Should you be able to see the waves of data streaming through the network, turning components and wires grey and orange like strobe lights? What happens if you modify a slider during a solution? Simple answer is to abort the current solution and start a new one with the new slider value. But as you slowly drag the slider from left to right, you end up computing 400 partial solution and never getting to a final answer, even though you could have computed 2 full solutions in the same time and given better feedback. Does the preview geometry in the Rhino viewports flicker in and out of existence as solutions cascade through the network?
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