1. ??????? – ????? ?????? ???? ????? ????? ????? ????????? ??? 2007

2. ????? ?????? ???????? ??? ????? ???? ??? ????? ??? ????? ???? ???? ???? ??? ???? ????? ???? ??????? – ???? ???? ???, ??????? ??? ?? ??? ?????? ???? - ?????? ???????... ???????? ?? ??????? ???????? – ????? ???? ???? ????? ??????? – ????? ?????? ???????? ????-???? ??????? ???? ???????? – ????? ????

3. ????? ???? – ?? ??? ?????? ???? – ??????? ????????? – ??? ?????, ??? ????? – ?? ???? ????? ???? ?????? – ????? ????????? ????? ?-40' ??? ?????? ????? ?-50 ??? ???????? ???? ?????? ?????? ???? ?????? ????? ?????? ??????, ???? ?? ???? ????? ????? ??? (??????? ????) ?????? ?????? ????

4. ????? ???? – ?? ????? ?? ??? ???? ????? ?????? ?????? ???? ?????? ????? ?????? ??????, ???? ?? ???? ????? ????? ??? (??????? ????) ???? ???? ????? ??? ?????? ????? ??????? ?????????? ?? ????? ?????? ????? ??????? ????? ???????? 4 ?????? ????? ?? ????? ????? ????? ????? ?????? ???????? ???? ???? ???? ???? ????? ?? ???? ???? ?? Washi – ???? ?????? ??????, ???? ???? ????? ?????? ????. ?? ?????? ??????? ??????? ???? ???????? – ??? ?? ???

5. ??????? ?????? ???????

6. ??????? ??????????? ???? ????? ????? ?? ???? ????? – ?????? ??? ??? ?? ??????? ???? 0 ??????? ????? ???? ????? ?????, ????? ?? ????? – ?? ??????? ??????? ??????? ??????? ????? ?? ????? ????? (??? ??? ???? ?? ?? ???) ?? ?????? ??????? ????? ????? ????? ????? ?????? ?????? ??????? ????? ????? ????? ???????? ????? ???? ????? ???? ??????? ????? ????? ????? ??? ????? ???????? ????? ???? ?? ???? ???????? ????? ?????? ??? ??????? ??? ?????? ?????

7. ??????? - ????? ??????? – ????? ????? ????? ???? ????????? ????? ??????? – ????? ????? ????? ?????? ????????? ????? ?????? ????? ?? ????????? ????? ???? ?????? ???? ???? ??? ?????? ????? ?????????? ?????? ???? ???? ??? ?????? ????? ????? ???????????? ?? ???? ???? ??? ????? ????? ??? ???? ????? ???? ???? ???? ?????? ??? ??????? ???? ????? ???????? – ?? ???? ????...

8. ???? ???????? ?? ????? ???? ???????: ????? ????? ???????? ????? ???? ???????? ????? ?????? ?????? ??? ????? ????????????? ????? ????? ?????? ?????? ?? ????????? ????? ????? ?????? ??????? ???? ???????? ?? ?????? ???? - http://merrimack.edu/~thull/oribib.html ?? ????? ???? ????? II ????????????? ?????????, ?????? ?? ??????? - MA 323A Combinatorial Geometry! http://merrimack.edu/~thull/combgeom/combgeom.html

9. ????? ????? ????? ?"? ????????????? ????? ????? ????? ????? ???? ?? ????? ??????? ???? ??? ????? ?? ????? ??????? ????????? ?? ?????? ????? ?????? ???? ????????? ??? ????? ???????

10. 6(7) ????????? ?? ?????? ?"? ????????? ??????? ?????? ???? 1992: ??? ??? ?????? p1 ?-p2 ???? ?? ????? ??? ?????? ?? ?? ????? ??? ?????? ?? ????? p2 ????? ??? ????? p1 ?? ?? ????? ??? ?????? ?? l1 ????? ??? ??? l2 ?? ?? ????? ??? ????? ?????? ??? l1 ??? ????? p1 ?? ?? ????? ??? ?????? ?? ?????? p1 ?? ??? l1 ????? ??? ?????? p2 ?? ?? ????? ??? ????? ?? ?????? p1 ?? ??? l1 ??? ?????? p2 ?? ??? l2 (?????) ?? ?? ????? ??? ????? ?? ?????? p ?? ??? l1 ???? ????? ??? l2 =

11. ????? ????? ?????? ???? ????????? ?????? ???? ??????? ?????? ?????? ?? ??? s ???? V, ???? ???? ?????? ???? ???? V2 = ???? ????? ?????? ??????? ???? ?????? ???? ????? ???????? ???? ????? ?????????? ????? ????? ?"? ????????? ?? ???????

12. ??? ?????????

13. ?????? ?????? ??? ????? ???? ???? ?? ???? ???? ??????? ??????? ????? ??? ?????? ???? ???? ????? ?????? ???? ????? ??????? : ?????? ????? ?"? ?????? ???????? ?-2001 ??????? ?????? ???? ????? ????? ????? ???? ?????? ?? 8 ?????, ????? ?-12 ???????

14. NP Complete ????? ???? ????? ?????????. ?? ?????? ?????? ???? ???????? (????? – ?????? ??????? ???? ??????? ??? ?????? ?????? ?? ???? ????????( ????? ??? – ????? ?? ???????????? ??????? ?????? ???? ???????? ????? ?? ????? ????? ????? (???, ?? ??? ?? ?????? $ ????? ?????) ????? ??????? ???? ?????? ????? ?????? ???? ?????? ???? ???? ?? ??????? ?????? ???? ????? ?????? NP Complete ?"? ?????????? (Xerox PARC) ???? ??? ????? ???? ?-1996 http://citeseer.ist.psu.edu/bern96complexity.html ??????? – ???? ????? ????? ??????? ?? ????? ????????? ?"? ???????, ???? ??????? ???? ???? ????? ???? ?? ?????? ????? ?????? ????????? ??????? – ??????? ????? ????? ??????? ??????? ???? ?????????? ?? ?????

15. Origami Zoo

16. The Sea world

17. Birds

18. Beautiful Flowers

19. ????? ???? ???? ????? ???? ???? ????? ?????? ???? ???????? Noshi - ?????? ???? ?????? ?????? ?????? ???? Gohei – ????? ???? ?????? ???? ?? shimenawa ????? ?????? ??????? ?????? ??? ?????? ???? Gohei ???? ?? ???? ????? ?? ????? ?????? ????? ???? ????? ????? ?? ??????? ?? ???? (??????'?) Katashiro – ????? ???? ???????? ?????? ????? ????? ?? ???? ????"? ??????? ?-1880 ???????? ??? ???? ????? ??????, ??? ????? ?? ??????? ???? (????? ?? ??????) Kayaragua – ??????? ?????? ????, 1845, 233 ?????

20. ????? ????????? ???? ????? ???????? ????? ?? ???? ?????? ????? – ???? ???-????? ????? ???? 50,000 ????? ????? ?? ??????? ?????? ????? ????? ?-50' ???? ?? ??????????? ?? ?????? ????? ?????? ??????? ???????? ???? ?? ??????????? ?? ??????? ????? ????? ?????? ?????? ????????? ????? ?? ????? ??????? ??? ???? ?????? ???? ????? ???? ???????, ???? ???? – ????? ???????? ??????? ???? ???????? ?? ?????? ????? ???? ?????? ?????? ????? ???? ??, airbag ??????? ?????? ???? ?????? ??????

21. ??????? ???????? Gilles Deleuze – ??????? ????? ????? ?-20' – ????? ?????? ???? ?? ??????? ????????? - he Fold, Leibniz and the Baroque ?? ?? ????? ????? ?????? ???????? (??? = ??????) ?? ???? ???? ??? ???? ????? ?? ????? ????? ????? ????? ????? ??? ???? ????? ????? ???????? ??? ???? ????, ????? ?????? ?????? ???????? ???????? – ?????? ?? ??????? – ????? ?????? ??????? ?????? (?????????) ?? ???? – ???????? = ??????

22. ?????? ???? ???? – ????? ??? ????? ??? – ?????????... ?? ??????? ?? ?????? ?????? ???? ????? ????? ????? ?? ?????? ???? ????? ????? ????????? ????? ???? ??? ?? ???? ????? ??? ????? ???????? ?? ???? ????? ??? ??? ??????? ?????? ??????????? ?? ????? ?????? ????? ??????????, ?????????? ??????????? ?????? ???? ?????? ???? ?????? ???-???????? ??????? ???????? ?? ??????, ???? ?????? ????? ????? ?? ?????? ????? ????????? ??????? ????? – ??? ???? ????? ??' ??? ?? ??????? ?? ?????? ????????? ??? ??, ??? ???? ???? ????? ?? ????? ????? ???? ?? ??? ???????

23. ??????? ?? ????? ????? Leibniz: “the division of the continuous … must not be taken as of sand dividing into grains, but as that of a sheet of paper or a tunic in folds, in such a way that an infinite number of folds can be produced, some smaller than others, but without the body ever dissolving into points or minima”

24. ???? ?????? ?????? Eyepiece ?????? ???????, ?"? ??? ???? ?????? ?? ???? ????? ????? 100 ?' ?????? ???? ??? ???? ????? ???? ?????? ????... ?????? – ???? ????? ??? ???? ????? ????? ????? ????

25. ???? ?????

26. Origami heart stent ??? 200, ???' ????????, ???? ????? ????? K. Kuribayashi ???? stent ?????? ?? ????? ???? ???? ?????? ?????? ?????? ???? ???? ????? ?????? ???? ?????? ??????

27. ??????? ???? ????????? ????????? ??????? ???? 2006... Using Programmable Stacking Bonds to Combine DNA Origami into Larger, More Complex, Reconfigurable StructuresPaul W.K. Rothemund, Erik WinfreeCalifornia Institute of Technology, US Recently, we developed a technique for self-assembling arbitrary nanoscale shapes and patterns using DNA. This technique, termed "scaffolded DNA origami", allows 100 nanometer diameter shapes to be created with a resolution of 6 nanometers. The technique further allows any shape to be covered by a pattern with over two hundred 6-nanometer features. These features, which can be thought of as pixels, could be carbon nanotubes, quantum dots, protein enzymes, or any of a number of other active nanoscale devices. Thus the technique has great potential to create nanoscale circuits and nanomachines.

28. ??? ??? ??????? ?? ??????? ????' ???? ?????, MIT ??????? ???? 20 ????? ??????????? ???? ?????? ?????? ??????? ??????? ?? ????? ????? ???????? ???? ???? ?? ???? ??? ??????? ?-DNA ????????? ????? ??????

29. Tesselation