@ComplexTrees

Adventures into the Mathematical Forest of Complex Trees. Research Project by @bernatree #Math #Fractal #Trees #IllustratingMathematics #3DPrinting

 Mathematical Forest
ComplexTrees.com
Joined June 2016
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  • Following9
  • Followers103
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Exploring the parameter space of a new family of connected self-similar sets related to the Sierpinski triangle. A poster about it will be presented soon at @ICERM Stay tuned!🌀🌿#ComplexTrees #ComplexDynamics #IllustratingMathematics #FractalGeometry #Topology #MathArt #Wolfram
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Continuem les activitats dels dimecres al MMACA amb una nova conferència a càrrec de Bernat Espigulé @bernatree Dimecres 27 de gener a les 18 h Activitat gratuïta en línia Més informació ponent i enllaç inscripció mmaca.cat/activitats-2/confe…
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2021 New Year Greeting GIF based on @bernatree's 2011 Binary Tree #GoldenRatio #5Fold #Fractal #MathArt #Escher #Surrealism #Espigule #LaserCut #Fractals #MathGIF #Infinite #Tessellation #Tiling #Ornament made with @WolframResearch's #Mathematica and @scorchworks' #K40Whisperer.
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This sculpture, designed in #Mathematica and 3D printed at @ICERM's Ultimaker 3, illustrates how the Sierpinski carpet fractal is the limiting set of an octree (each node has eight children). ams.org/publicoutreach/math-… Thank you @amermathsoc for featuring it! #MathArt @ComplexTrees – at Providence, RI
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Bernat Espigule @bernatree, a math researcher at Universitat de Barcelona, was one of dozens of mathematicians from around the world who spent last fall @BrownUniversity @ICERM, participating in the Illustrating Mathematics program. Now his work has been featured by @amermathsoc
Bernat Espigulé@bernatree16 May 2020
This sculpture, designed in #Mathematica and 3D printed at @ICERM's Ultimaker 3, illustrates how the Sierpinski carpet fractal is the limiting set of an octree (each node has eight children). ams.org/publicoutreach/math-… Thank you @amermathsoc for featuring it! #MathArt @ComplexTrees
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Bona Diada de Sant Jordi 🐉♾🌹 Temps era temps, un drac terrible atemoria els habitants de Catalunya... #SantJordi li va clavar la seva llança, i de la sang del drac va sorgir un roser de roses vermelles. #MathArt @ComplexTrees @WolframResearch @MMACA_cat @soccatmat @MatesInfoUB
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Complex Trees retweeted
Elvis Zap@Paz_Sivle18 Mar 2020
Whoah! @ICERM cool beans @stevejtrettel @bernatree @henryseg @Sabetta_ #knotforprofit ams.org/publicoutreach/math-…
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A family of fern-like ternary complex trees Source: arxiv.org/abs/1904.10304 Author: Bernat Espigulé @bernatree #mathart
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Mathematicians from around the world gathered at @BrownUniversity @ICERM last fall for the semester-long Illustrating Mathematics program, and that work continues to be shared and discussed in other places, including @amermathsoc.
Bernat Espigulé@bernatree25 Mar 2020
My #MathArt work about @ComplexTrees exhibited during the Illustrating Mathematics Semester @ICERM is now available at the American Mathematical Society @amermathsoc Mathematical Imagery ams.org/publicoutreach/math-… Created with #Mathematica @WolframResearch 3D printed with @Ultimaker
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My #MathArt work about @ComplexTrees exhibited during the Illustrating Mathematics Semester @ICERM is now available at the American Mathematical Society @amermathsoc Mathematical Imagery ams.org/publicoutreach/math-… Created with #Mathematica @WolframResearch 3D printed with @Ultimaker
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Replying to @bernatree @RobFathauerArt @ComplexTrees @AARMS_math @ICERM @BrownUniversity @UniBarcelona @canmathsociety @MMACA_cat @MoMath1 @WolframResearch @BridgesMathart @glowforge
Here is a time-lapse showing the process of laser cutting another @ComplexTrees specimen T{c,-c} captured with the help of @WolframResearch's Mathematica. Made @ICERM with @glowforge 🛸 #MathArt #Glowforge #Fractal #Geometry #LaserCut #BinaryTree #Tessellation #Tiling #MathPuzzle
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Complex Trees retweeted
Bernat Espigulé@bernatree9 Oct 2019
Replying to @ICERM
Thank you for making it possible! Time-lapse showing how the Tame Twin Dragon complex tree T{¼+i√7¼,-¼-i√7¼} was 3D printed @ICERM a few days ago #UM3 #IllustratingMathematics #MathArt #3Dprinting #Fractals @ComplexTrees Ultimaker 3 snapshots 📸🌱🌿🌲 captured by @_daviddumas
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Complex Trees retweeted
Prathyush@prathyvsh25 Oct 2019
Replying to @prathyvsh @bernatree
Apart from this @bernatree has also created visualizations where H-Tree is derived by walking on the Mandelbrot set: xitter.cf/bernatree/status/86457… and tongues of the Julia fractal: xitter.cf/bernatree/status/93019… His @ComplexTrees account is also well worth checking out!
Bernat Espigulé@bernatree13 Nov 2017
Replying to @daniel_bilar @C_Trombley1 @ComplexTrees
🙂 thanks! Here you have two more visualizations that helped me coming up with this original animation. The tongues generated when the boundary of the Julia Sets intersects the reals it's also interesting ∂J∩ℝ, c∈[−2, ¼]
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Complex Trees retweeted
Bernat Espigulé@bernatree8 Dec 2019
Apparently my recent work on @ComplexTrees introduces a pair of new families of connected self-similar sets where both logos of @studcCMS and @AARMS_math are elements found in the boundary between stable and unstable ternary trees #CMSWinterMeeting2019 #RéunionHiverSMC2019
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Complex Trees retweeted
Bernat Espigulé@bernatree8 Dec 2019
Replying to @RobFathauerArt @ComplexTrees @AARMS_math @ICERM @BrownUniversity @UniBarcelona @canmathsociety @MMACA_cat @MoMath1 @WolframResearch
I plan to explain this in detail at @BridgesMathart I come up with these kind of of Escher-like tilings by applying my theory of complex trees. This one comes from an specimen T{c,-c} where all branch paths not landing on the boundary were pruned. Made @ICERM with @glowforge :-)
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Complex Trees retweeted
Bernat Espigulé@bernatree8 Dec 2019
Replying to @bernatree @ComplexTrees @AARMS_math @ICERM @BrownUniversity @UniBarcelona @canmathsociety @MMACA_cat @MoMath1 @WolframResearch
Logos @studcCMS and @AARMS_math with my pair of families of tipset connected ternary complex trees T{z,1/2,1/(4z)} and T{z,-1/2,1/(4z)} introduced in arxiv.org/abs/1902.11282 #MathArt Unstable Set M Research done @UniBarcelona @universitatscat @imubcn @BibmatUB @MatesInfoUB @ICERM
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Complex Trees retweeted
AARMS@AARMS_math8 Dec 2019
Replying to @bernatree @ComplexTrees @ICERM @BrownUniversity @UniBarcelona @canmathsociety @MMACA_cat @MoMath1 @WolframResearch @universitatscat @imubcn @BibmatUB @MatesInfoUB
Hey, we made it into the talk! #CMSwintermeeting2019
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Students of Barcelona Tech Math Summer Camp exploring @ComplexTrees 🌿🔁🎥 #videofeedback #infinite loop #fractals #mathart & #3Dprinting with #Mathematica @FME_UPC
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Animation showing the complex dynamics relation between #JuliaSets x²+c and the classical #LogisticMap when "c" are real numbers in the interval [−2, ¼] #BifurcationDiagram 🌱 #BinaryTree #codevember #fractals #chaos #WolframLanguage #GIF more info available soon @ComplexTrees
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Complex Trees retweeted
Bernat Espigulé@bernatree2 Jun 2017
Excited to see @nervous_system coming to Barcelona! @nervous_jessica & @henryseg inspired me to start #3DPrinting @ComplexTrees back in 2013
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