Complex Trees

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

[Complex Trees @ComplexTrees]

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

[Museu de Matemàtiques de Catalunya - MMACA @MMACA_cat]

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
https://t.co/btmIKEf9TF

[Complex Trees @ComplexTrees]

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.

[Bernat Espigulé @bernatree]

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). https://t.co/YrL6PEyyrE Thank you @amermathsoc for featuring it! #MathArt @ComplexTrees

[Brown Research @BrownUResearch]

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 @bernatree]

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

[Elvis Zap @Paz_Sivle]

Whoah! @ICERM cool beans @stevejtrettel @bernatree @henryseg @Sabetta_ #knotforprofit https://t.co/yo7vf81HPj

[∞ 𝕁uan ℂarlos @jcponcemath]

A family of fern-like ternary complex trees

Source: https://t.co/bwfkxNlh3P

Author: Bernat Espigulé @bernatree

#mathart

[Brown Research @BrownUResearch]

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 @bernatree]

My #MathArt work about @ComplexTrees exhibited during the Illustrating Mathematics Semester @ICERM is now available at the American Mathematical Society @amermathsoc Mathematical Imagery https://t.co/XE3nzmLpUV Created with #Mathematica @WolframResearch 3D printed with @Ultimaker

[Bernat Espigulé @bernatree]

@RobFathauerArt @ComplexTrees @studcCMS @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

[Bernat Espigulé @bernatree]

@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

[Prathyush @prathyvsh]

@bernatree Apart from this @bernatree has also created visualizations where H-Tree is derived by walking on the Mandelbrot set: https://t.co/PCoAwlIVgC and tongues of the Julia fractal: https://t.co/ShnXhYs2O8

His @ComplexTrees account is also well worth checking out!

[Bernat Espigulé @bernatree]

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

[Bernat Espigulé @bernatree]

@RobFathauerArt @ComplexTrees @studcCMS @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 :-)

[Bernat Espigulé @bernatree]

@ComplexTrees @studcCMS @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 https://t.co/ZIAkH5DwVU #MathArt Unstable Set M Research done @UniBarcelona @universitatscat @imubcn @BibmatUB @MatesInfoUB @ICERM

[AARMS @AARMS_math]

@bernatree @ComplexTrees @studcCMS @ICERM @BrownUniversity @UniBarcelona @canmathsociety @MMACA_cat @MoMath1 @WolframResearch @universitatscat @imubcn @BibmatUB @MatesInfoUB Hey, we made it into the talk! #CMSwintermeeting2019

[Bernat Espigulé @bernatree]

Students of Barcelona Tech Math Summer Camp exploring @ComplexTrees 🌿🔁🎥 #videofeedback #infinite loop #fractals #mathart & #3Dprinting with #Mathematica @FME_UPC

[Bernat Espigulé @bernatree]

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

[Bernat Espigulé @bernatree]

Excited to see @nervous_system coming to Barcelona! @nervous_jessica & @henryseg inspired me to start #3DPrinting @ComplexTrees back in 2013