
Adventures into the Mathematical Forest of Complex Trees. Research Project by @bernatree #Math #Fractal #Trees #IllustratingMathematics #3DPrinting
Mathematical Forest
Joined June 2016
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Complex Trees retweeted
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…
Complex Trees retweeted
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
Complex Trees retweeted
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
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
Complex Trees retweeted
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
Complex Trees retweeted
Whoah! @ICERM cool beans @stevejtrettel @bernatree @henryseg @Sabetta_ #knotforprofit ams.org/publicoutreach/math-…
Complex Trees retweeted
A family of fern-like ternary complex trees
Source: arxiv.org/abs/1904.10304
Author: Bernat Espigulé @bernatree
#mathart
Complex Trees retweeted
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.
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
Complex Trees retweeted
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
Complex Trees retweeted
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
Complex Trees retweeted
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
Complex Trees retweeted
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!
Complex Trees retweeted
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
Complex Trees retweeted
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 :-)
Complex Trees retweeted
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
Complex Trees retweeted
Replying to @bernatree @ComplexTrees @ICERM @BrownUniversity @UniBarcelona @canmathsociety @MMACA_cat @MoMath1 @WolframResearch @universitatscat @imubcn @BibmatUB @MatesInfoUB
Hey, we made it into the talk! #CMSwintermeeting2019
Complex Trees retweeted
Students of Barcelona Tech Math Summer Camp exploring @ComplexTrees 🌿🔁🎥 #videofeedback #infinite loop #fractals #mathart & #3Dprinting with #Mathematica @FME_UPC
Complex Trees retweeted
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
Complex Trees retweeted
Excited to see @nervous_system coming to Barcelona! @nervous_jessica & @henryseg inspired me to start #3DPrinting @ComplexTrees back in 2013
Complex Trees retweeted
Replying to @panlepan @ComplexTrees
Nice! I haven't uploaded them yet but I wrote this post 2013 community.wolfram.com/groups… More plane-fill. #fractals T(½±i½), T(-½±i½) & T(±½-i½)
Complex Trees retweeted
Tree versions of the reptiles that tile the plane periodically: H-tree T(±i/√2), tame twindragon T(±¼±i√7¼) & twindragon T(±½±i½) #Fractals



























