creator: Alberto Sevoso

  • This really happens, all the time:
  • Diffusion
    \frac{\partial\phi(\mathbf{r},t)}{\partial t} = \nabla \cdot \big[ D(\phi,\mathbf{r}) \, \nabla\phi(\mathbf{r},t) \big],
    \frac{\partial\phi(\mathbf{r},t)}{\partial t} = \sum_{i=1}^3\sum_{j=1}^3 \frac{\partial}{\partial x_i}\left[D_{ij}(\phi,\mathbf{r})\frac{\partial \phi(\mathbf{r},t)}{\partial x_j}\right]
    \frac{\partial\phi(\mathbf{r},t)}{\partial t} = \nabla\cdot \left[D(\phi,\mathbf{r})\right] \nabla \phi(\mathbf{r},t) + {\rm tr} \Big[ D(\phi,\mathbf{r})\big(\nabla\nabla^T \phi(\mathbf{r},t)\big)\Big]
  • Schooly mathematics is all about rigid, blocky shapes. But since people realised that the infinite limit of a curve is straight, that dynamics are just another dimension (time), then all tame ploop-ploppulous and fandangulous shapes become fair game.
  • "Later" mathematics takes those simple forms—triangles, squares, circles—to the limit and comes up with these kinds of shapes.
  • A few of them have non-trivial topologyknotting within themselves or linking with other hoops of different colour.
  • Those are some nice 3-manifolds.

via chels

(Source: behance.net)







233 notes

  1. graviiit-y reblogged this from unbitrium
  2. shoushig reblogged this from unbitrium
  3. unbitrium reblogged this from isomorphismes
  4. cutegrenade reblogged this from isomorphismes
  5. vincelok reblogged this from isomorphismes
  6. itsdavidthefox reblogged this from gorettmisstag
  7. gorettmisstag reblogged this from isomorphismes
  8. vulturepriestess reblogged this from isomorphismes
  9. clazzjassicalrockhop reblogged this from isomorphismes
  10. lda10261986 reblogged this from isomorphismes
  11. csimp29blr reblogged this from isomorphismes
  12. ginnungagap-einherjar reblogged this from isomorphismes
  13. marceseungh reblogged this from isomorphismes
  14. bluegravity reblogged this from dreamsmadeflesh
  15. tic-toc-bang reblogged this from testigosdelavida
  16. testigosdelavida reblogged this from dereojo
  17. giraffesonthebeach reblogged this from istumogra
  18. istumogra reblogged this from choco-taco-with-choco-sauce
  19. erectilereptile reblogged this from choco-taco-with-choco-sauce
  20. justanotherpoispinner reblogged this from ideas-in-the-making
  21. mind-nectar reblogged this from kawaiimaster420
  22. eyesbleeding reblogged this from choco-taco-with-choco-sauce
  23. lykkelig-liten-narhval reblogged this from choco-taco-with-choco-sauce
  24. anepicsomeone reblogged this from choco-taco-with-choco-sauce
  25. aranando-las-puertas reblogged this from choco-taco-with-choco-sauce
  26. coloradosfinest reblogged this from choco-taco-with-choco-sauce
  27. fictionraven reblogged this from choco-taco-with-choco-sauce