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CMU Ramon Llull, Barcelona, 6/11/2017
Miquel Duran
Càtedra de Cultura Científica i Comunicació Digital
miquel.duran@udg.edu
Universitat de Girona
@miquelduran #rubsci #magsci @magsci @c4dudg
Ciència, màgia i misteris
del Cub de Rubik
40 anys del Cub de Rubik: google doodle
• https://www.google.com/doodles/rubiks-cube
• App del Cub de Rubik a Google
• https://www.imagecu.be/
• https://www.chrome.com/cubelab
Scientific American, 1981
SciAm 1981: cub rubik
https://wearethemutants.com/2017/01/17/scientific
-american-featuring-rubiks-cube-1981/
•
Rècords del món... 4,69 segons !
https://boingboing.net/2017/09/06/teen-solves-rubiks-cube-in-w.html/amp
El Cub de Rubik més gran del món
A l’MIT
https://boingboing.net/2017/04/19/worlds-largest-rubiks-cube.html
Robot que fa Cub de Rubik (Raspberry Pi)
A Raspberry Pi-powered Rubik’s cube-solving robot
https://boingboing.net/2017/09/14/a-raspberry-pi-powered-rubik.html
Robot, Cub de Rubik... < 1s
https://boingboing.net/2016/11/11/watch-a-robot-solve-a-rubiks-c.html
RT @pickover: What kind of alien mind could
dream of solving a 1000x1000x1000 Rubik's
Cube? YouTube: http://bit.ly/1mNCUHB
Cub de Rubik 1000 x 1000 ! (simulat!)
En 20 moviments...
QUO: CIENCIA DEL CUBO RUBIK
http://www.quo.es/ciencia/ciencia-del-cubo-rubik
Commutadors i conjugats
= Mecànica quàntica: operadors
Exemples: sexy move S= R U R’ U’, S6 = I
Exemples: Permutació cíclica 3 arestes
R2 U R U R’ U’ R’ U’ R’ U R’
R i L commuten! R L = L R
https://ruwix.com/the-rubiks-cube/commutators-conjugates/
Resolució algorítmica – per fases
• Si vols anar ben lluny,
ves-hi xino-xano
• Teoria de grups: per
als matemàtics i
científics
https://edunoming.wordpress.com/2016/11/01/resolucio-algoritmica-del-cub-de-
rubik-les-fases-de-la-seva-resolucio/
L’abecedari i el Cub de Rubik
Per resoldre’l amb els ulls clucs:
https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/
Atenció: en un jocs de cartes de pòker hi caben 2 alfabets... I en un any de 364 dies, 14
Cub de Rubik en 4 dimensions!
(recordem en Dalí!)
http://superliminal.com/cube/cube.htm
Qbe: Quark Matter on Rubik's Cube
https://arxiv.org/abs/1702.06217v1
Criptografia... Quàntica... Rubik
Cubic Quantum Security
Quantum cryptography provides us new methods of
securing the communications. As compared to classical
cryptography, which implies different mathematical
algorithms to secure the information, quantum
cryptography focuses on the physical support of the
information. The process of information transmission or
stocking is realized by the intermediation of a physical
support, for example the photons transmitted by optical
fiber or the electrons from the electricity.
Communication security can be regarded as securing the
physical support of the carrier of the information - in
our case the photons from the optical fiber.
Consequently, how and what an attacker can find out
depends exclusively on the laws of physics. The paper
presents a symmetrical encryption method based on the
method of mixture used by the rubik's cube.
http://ieeexplore.ieee.org/document/6822341
Química del i al Cub de Rubik
http://chemsec.org/solving-the-3d-puzzle-game-rubiks-cube-might-not-be-so-smart-after-all/
It turns out it’s probably not as smart as you
thought to play with the cube, except if you
bought yours in Sweden.
The NGO Arnika from Czech Republic tested the
ingredients of Rubik’s cubes and found the two
flame retardants OctaBDE and DecaBDE in
almost every sample they bought on a worldwide
scale.
Enantiòmers i diastereòmers
• El Cub de Rubik, igual que un dau, té isòmers que
es reflexen al mirall: enantiòmers
• Igual que un parell de guants, o el L-limonè i el R-limonè
• També hi ha diastereòmers, que tenen les cares
amb una configuració diferent
• Les peces del mig en general no importa quina
orientació tenen... Excepte en els Cubs de Rubik de
fotos
Taula periòdica dels elements al Pyraminx
https://www.google.com/patents/US6361324
Cub de Rubik amb la TPE
http://www.randelshofer.ch/rubik/virtual_cubes/professor/picture_cubes/5x_periodic_table_cube.html
Entropia i Cub de Rubik
5 Life Lessons from the Rubik’s Cube
It is easier to create chaos than to create order.
https://goodmenproject.com/bits-and-pieces/life-lessons-from-the-rubiks-cube-lbkr/
Ciència dura: Llocs estranys per a
un Cub de Rubik...
Efect diòxid de carboni sobre peixos: Behavioural
Disturbances in a Temperate Fish Exposed to Sustained
High-CO2 Levels
http://journals.plos.org/plosone/article?id=10.1371/jour
nal.pone.0065825
Són els pops dretans?
https://www.scientificamerican.com/gallery/rubiks-cube-
to-reveal-octopus-handedness/
Una mica d’humor...
Cub de Rubik 2x2x2... de paper
https://www.youtube.com/watch?v=ySEEguxu_kA
Cub 2x2x2... de llana!
2x2x2 Rubik Cube: Meet the mathekniticians - and their amazing woolly
maths creations
https://www.theguardian.com/science/alexs-adventures-in-numberland/2016/oct/03/meet-the-
mathekniticians-and-their-amazing-woolly-maths-creations
Cub de Rubik i psicologia
Problem solving:
https://www.youcandothecube.com/blog/puzzling-science-using-the-
rubiks-cube-to-teach-problem-solving
Cub de Rubik i el piano
https://www.intmath.com/blog/videos/math-movie-how-to-play-a-rubiks-cube-like-a-piano-10589
Rubik's Cube And Salvador Dali Elephants by Victoria Sinkevy
https://fineartamerica.com/featured/rubiks-cube-and-salvador-dali-elephants-victoria-sinkevych.html
Cub de Rubik i Escher...
https://twitter.com/i/web/status/817040298471727108
Mosaics amb Cubs de Rubik
https://www.youcandothecube.com/mosaics/create-your-own-mosaics
Màgia i Cub de Rubik...
• Força atractiva la resolució curiosa proposada per en Matt
Parker: This Trick Makes It Look Like You Can Solve a Rubik’s
Cube
• http://thescienceexplorer.com/technology/trick-makes-it-look-you-
can-solve-rubik-s-cube
• Espectacularitat i relat del que es va presentar al show “Fool
us” de Penn&Teller per Seteven Brundage
• https://www.youtube.com/watch?v=Qph0_pBUEr8
• Programa al #quequicom de dimarts 8/11/2016 sobre el
Cub de Rubik:
• http://www.ccma.cat/tv3/alacarta/quequicom/la-genialitat-del-
cub-de-rubik/video/5630304/
• Got Talent: Raymon
• http://www.telecinco.es/gottalent/Raymon-mago-cubos-
rubik_2_2327880231.html
Rubik:
the most characteristic part of the
cube is the contradiction between
simplicity and complexity
Teniu poders màgics?
Moltes gràcies!
@miquelduran
Moltes gràcies a tothom!
http://magsci.eu @magsci #rubsci
http://rubiks.com
http://rubix.cat
https://www.worldcubeassociation.org

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Ciència, màgia i misteris del Cub de Rubik

  • 1. CMU Ramon Llull, Barcelona, 6/11/2017 Miquel Duran Càtedra de Cultura Científica i Comunicació Digital miquel.duran@udg.edu Universitat de Girona @miquelduran #rubsci #magsci @magsci @c4dudg Ciència, màgia i misteris del Cub de Rubik
  • 2. 40 anys del Cub de Rubik: google doodle • https://www.google.com/doodles/rubiks-cube • App del Cub de Rubik a Google • https://www.imagecu.be/ • https://www.chrome.com/cubelab
  • 3. Scientific American, 1981 SciAm 1981: cub rubik https://wearethemutants.com/2017/01/17/scientific -american-featuring-rubiks-cube-1981/ •
  • 4.
  • 5.
  • 6. Rècords del món... 4,69 segons ! https://boingboing.net/2017/09/06/teen-solves-rubiks-cube-in-w.html/amp
  • 7. El Cub de Rubik més gran del món A l’MIT https://boingboing.net/2017/04/19/worlds-largest-rubiks-cube.html
  • 8. Robot que fa Cub de Rubik (Raspberry Pi) A Raspberry Pi-powered Rubik’s cube-solving robot https://boingboing.net/2017/09/14/a-raspberry-pi-powered-rubik.html
  • 9. Robot, Cub de Rubik... < 1s https://boingboing.net/2016/11/11/watch-a-robot-solve-a-rubiks-c.html
  • 10. RT @pickover: What kind of alien mind could dream of solving a 1000x1000x1000 Rubik's Cube? YouTube: http://bit.ly/1mNCUHB Cub de Rubik 1000 x 1000 ! (simulat!)
  • 11. En 20 moviments... QUO: CIENCIA DEL CUBO RUBIK http://www.quo.es/ciencia/ciencia-del-cubo-rubik
  • 12.
  • 13. Commutadors i conjugats = Mecànica quàntica: operadors Exemples: sexy move S= R U R’ U’, S6 = I Exemples: Permutació cíclica 3 arestes R2 U R U R’ U’ R’ U’ R’ U R’ R i L commuten! R L = L R https://ruwix.com/the-rubiks-cube/commutators-conjugates/
  • 14. Resolució algorítmica – per fases • Si vols anar ben lluny, ves-hi xino-xano • Teoria de grups: per als matemàtics i científics https://edunoming.wordpress.com/2016/11/01/resolucio-algoritmica-del-cub-de- rubik-les-fases-de-la-seva-resolucio/
  • 15. L’abecedari i el Cub de Rubik Per resoldre’l amb els ulls clucs: https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/ Atenció: en un jocs de cartes de pòker hi caben 2 alfabets... I en un any de 364 dies, 14
  • 16. Cub de Rubik en 4 dimensions! (recordem en Dalí!) http://superliminal.com/cube/cube.htm
  • 17. Qbe: Quark Matter on Rubik's Cube https://arxiv.org/abs/1702.06217v1
  • 18. Criptografia... Quàntica... Rubik Cubic Quantum Security Quantum cryptography provides us new methods of securing the communications. As compared to classical cryptography, which implies different mathematical algorithms to secure the information, quantum cryptography focuses on the physical support of the information. The process of information transmission or stocking is realized by the intermediation of a physical support, for example the photons transmitted by optical fiber or the electrons from the electricity. Communication security can be regarded as securing the physical support of the carrier of the information - in our case the photons from the optical fiber. Consequently, how and what an attacker can find out depends exclusively on the laws of physics. The paper presents a symmetrical encryption method based on the method of mixture used by the rubik's cube. http://ieeexplore.ieee.org/document/6822341
  • 19. Química del i al Cub de Rubik http://chemsec.org/solving-the-3d-puzzle-game-rubiks-cube-might-not-be-so-smart-after-all/ It turns out it’s probably not as smart as you thought to play with the cube, except if you bought yours in Sweden. The NGO Arnika from Czech Republic tested the ingredients of Rubik’s cubes and found the two flame retardants OctaBDE and DecaBDE in almost every sample they bought on a worldwide scale.
  • 20. Enantiòmers i diastereòmers • El Cub de Rubik, igual que un dau, té isòmers que es reflexen al mirall: enantiòmers • Igual que un parell de guants, o el L-limonè i el R-limonè • També hi ha diastereòmers, que tenen les cares amb una configuració diferent • Les peces del mig en general no importa quina orientació tenen... Excepte en els Cubs de Rubik de fotos
  • 21. Taula periòdica dels elements al Pyraminx https://www.google.com/patents/US6361324
  • 22. Cub de Rubik amb la TPE http://www.randelshofer.ch/rubik/virtual_cubes/professor/picture_cubes/5x_periodic_table_cube.html
  • 23. Entropia i Cub de Rubik 5 Life Lessons from the Rubik’s Cube It is easier to create chaos than to create order. https://goodmenproject.com/bits-and-pieces/life-lessons-from-the-rubiks-cube-lbkr/
  • 24. Ciència dura: Llocs estranys per a un Cub de Rubik... Efect diòxid de carboni sobre peixos: Behavioural Disturbances in a Temperate Fish Exposed to Sustained High-CO2 Levels http://journals.plos.org/plosone/article?id=10.1371/jour nal.pone.0065825 Són els pops dretans? https://www.scientificamerican.com/gallery/rubiks-cube- to-reveal-octopus-handedness/
  • 26. Cub de Rubik 2x2x2... de paper https://www.youtube.com/watch?v=ySEEguxu_kA
  • 27. Cub 2x2x2... de llana! 2x2x2 Rubik Cube: Meet the mathekniticians - and their amazing woolly maths creations https://www.theguardian.com/science/alexs-adventures-in-numberland/2016/oct/03/meet-the- mathekniticians-and-their-amazing-woolly-maths-creations
  • 28. Cub de Rubik i psicologia Problem solving: https://www.youcandothecube.com/blog/puzzling-science-using-the- rubiks-cube-to-teach-problem-solving
  • 29. Cub de Rubik i el piano https://www.intmath.com/blog/videos/math-movie-how-to-play-a-rubiks-cube-like-a-piano-10589
  • 30. Rubik's Cube And Salvador Dali Elephants by Victoria Sinkevy https://fineartamerica.com/featured/rubiks-cube-and-salvador-dali-elephants-victoria-sinkevych.html
  • 31. Cub de Rubik i Escher... https://twitter.com/i/web/status/817040298471727108
  • 32.
  • 33. Mosaics amb Cubs de Rubik https://www.youcandothecube.com/mosaics/create-your-own-mosaics
  • 34. Màgia i Cub de Rubik... • Força atractiva la resolució curiosa proposada per en Matt Parker: This Trick Makes It Look Like You Can Solve a Rubik’s Cube • http://thescienceexplorer.com/technology/trick-makes-it-look-you- can-solve-rubik-s-cube • Espectacularitat i relat del que es va presentar al show “Fool us” de Penn&Teller per Seteven Brundage • https://www.youtube.com/watch?v=Qph0_pBUEr8 • Programa al #quequicom de dimarts 8/11/2016 sobre el Cub de Rubik: • http://www.ccma.cat/tv3/alacarta/quequicom/la-genialitat-del- cub-de-rubik/video/5630304/ • Got Talent: Raymon • http://www.telecinco.es/gottalent/Raymon-mago-cubos- rubik_2_2327880231.html
  • 35. Rubik: the most characteristic part of the cube is the contradiction between simplicity and complexity
  • 38. Moltes gràcies a tothom! http://magsci.eu @magsci #rubsci http://rubiks.com http://rubix.cat https://www.worldcubeassociation.org