View allAll Photos Tagged voronoi

Renaissance 2.0 research design project - putting nature to work. Form-finding and multi-objective optimisation with genetic algorithms; a table and shelf generation system with user controls. Three sample tables and two sample shelves shown at the DMY 2010 in Berlin at Hangar 5 of the disused Tempelhof Airport.

 

Executed at Lund University School of Industrial Design by Andreas Hopf and Axel Nordin, supported by Vinnova, Sweden.

 

andreas.hopf@design.lth.se

axel.nordin@mkon.lth.se

www.industrialdesign.lth.se/

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

necklace, silver plated wire, copper wire 2011

A processing-based weighted Voronoi stippler with TSP path output. Or, how to make plotter-friendly output, starting with a picture. Read more about this project here.

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

From the legendary Voronoi Glassware Company, an imaginary creation using Voronoi patterning... :)

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Europe re-drawn for air travel

Thirty marshmallows packed into a box.

Not sure how to describe it, but you can't have two 45 degree angles meet in a 45.135.45.135 intersection and have the two tips meet up without vertical distance separating the two of them. You can see this with an interactive Voronoi tessellation generator, which shows you that such a pleat situation cannot arise regardless of how much you fiddle with it. (or so I'm thinking, please prove me wrong, I would much appreciate it!)

 

However, you *CAN* create something like a 45.90.135.90 intersection, or other variants of the sort- where the upper polygon has a much wider angle. this comes together quite nicely, and the dual of such a pleat intersection is our old friend, the deltoid (kite shape).

 

If we follow through on the pleat arrangements- by folding the Voronoi tessellation lines as a valley fold, and the 1/2 points between that line and the original coordinates as mountain folds (as seen in the picture) we get a fully twistable pleat intersection which realizes the dual as the final twist polygon. In this case, that means the twist will be a kite shape, and it matches up to the geometry of the Delaunay triangulation (the drawn lines in the photo, or in this case the dual of the Voronoi tessellation.)

 

(and yes, the Delaunay triangulation isn't exactly what I have drawn here, but I'm not a math person so it's close enough for my purposes.)

Using GeoNames, I found the lat/lon of the volcanos listed (there were only 6, whereas wikipedia lists many more). Those volcanos were feed into the algorithm to generate the Voronoi diagram polygons. That was put back onto the Iceland map.

 

Now you can find your location and find the geographically closest volcano.

 

It still needs some work, but the principal code is ready for waterfalls, cities, filling stations, etc.

Embroidery in progress - chain stitch silk/wool/cotton on linen. Voronoi regions in reds.

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

"Voronoi Nude Walking" @ Art Nation

Push Sim Under water

39 x 32 Steiner tree's 1248 prims forming an interactive Voronoi following you're avatar making the "Voronoi Nude Walking".

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Talca, Chile

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

"Voronoi Nude Walking" @ Art Nation

Push Sim Under water

39 x 32 Steiner tree's 1248 prims forming an interactive Voronoi following you're avatar making the "Voronoi Nude Walking".

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

OFFICIAL WEBSITE: calabarte.com/

FOLLOW CALABARTE ON FACEBOOK: www.facebook.com/calabarte

 

TABLE LAMP XX BUTTERFLY

 

Nature and math is an ocen of inspiration. The organic pattern contains three structures (plus butterflies main lines) and each of them is based upon Voronoi diagram – one of those mathematical oddities (like fractals) that turns up frequently in the world of nature.

The head of the lamp is made of Senegalese gourd. Its diameters are 27 and 23cm.

Thickness of the gourd is about 1cm so the structure is quite deep and it is carved on three different depth levels.

Height of the whole lamp is 48cm.

The diameter of the base is 28cm and it is finished with dark brown jeweler waxed string.

The end of the base is carved from wood.

On the top of the lamp is closing part locked with little magnets.

OFFICIAL WEBSITE: calabarte.com/

FOLLOW CALABARTE ON FACEBOOK: www.facebook.com/calabarte

 

TABLE LAMP XX BUTTERFLY

 

Nature and math is an ocen of inspiration. The organic pattern contains three structures (plus butterflies main lines) and each of them is based upon Voronoi diagram – one of those mathematical oddities (like fractals) that turns up frequently in the world of nature.

The head of the lamp is made of Senegalese gourd. Its diameters are 27 and 23cm.

Thickness of the gourd is about 1cm so the structure is quite deep and it is carved on three different depth levels.

Height of the whole lamp is 48cm.

The diameter of the base is 28cm and it is finished with dark brown jeweler waxed string.

The end of the base is carved from wood.

On the top of the lamp is closing part locked with little magnets.

Volcanic, Maurycy Gomulicki, 2013

 

mural aprox: 60m2

  

Volcanic mural I designed for private house in Podkowa Leśna near Warsaw. I was invited by the architect Jakub Szczęsny to do the intervention in the house. The space is very peculiar: Jakub worked with Voronoi formula – the effect is an asymmetric house with almost no right angles inside. The house – a bizarre wooden container, sort of Scandinavian hunting lodge taken to the next level stands sunken between the trees. I wanted to relate as much to architecture as to the green surroundings – so the decision of vertical modules and color. Also in the emotional aspect of it I was searching the experience or the warmth that would be specially appreciable in the winter time after half an hour ride back home trough cold gray darkness.

  

design: Maurycy Gomulicki

executed by Tomek Maped Pizoń

architect: Jakub Szczęsny / Centrala

 

Voronoi tessellation of the continental US with state capitols as cell centers. Homegrown BASIC program.

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