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Aspects of Symmetry היבטים של סימטריה עריכה: שרה גולן,

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Presentation on theme: "Aspects of Symmetry היבטים של סימטריה עריכה: שרה גולן,"— Presentation transcript:

1 Aspects of Symmetry היבטים של סימטריה עריכה: שרה גולן, ergolan@bezeqint.netergolan@bezeqint.net http://th04.deviantart.net/fs43/150/i/2009/136/4/b/symmetry___Bachelor_button_by_hummingbird44.jpg

2 סימטריה בטבע Symmetry in Nature http://www.masa.co.il/_content/images/bf104d509da34a54235a4471ce880630_145_p107a.jpg

3 http://teakes.blogspot.com/2009/10/symmetry-in-and-of-nature.html

4 http://3.bp.blogspot.com/_NYaJQllvyA0/THv6D4ty0AI/AAAAAAAABwg/Nd8HKJEcoVI/s1600/s tock-photo-isolated-half-cut-orange-with-perfect-geometrical-shape-11920849.jpg

5 http://ferenc.biz/pictures/nature-symmetry-geometry-gazania-flower.jpg

6 http://www.snunit.k12.il/heb_journals/kimat2000/950802g.gif

7 http://130.184.5.79/wiki/images/6/6d/Flower_symmetry.jpg

8 http://www.jugend.co.il/gallery/data/512/medium/1904Symmetry_in_nature_1.jpg

9 http://jjnet.files.wordpress.com/2010/03/symmetry-in-nature-2.jpg

10 http://www.jugend.co.il/gallery/data/512/medium/1904Symmetry_in_nature_3.jpg

11 http://www.rickbethem.com/images/symmetry.jpg

12 http://upload.wikimedia.org/wikipedia/he/thumb/9/9b/Unknownmoth.jpg/250px-Unknownmoth.jpg

13 http://www.svusd.org/hp_images/2616/P49634-image002.jpg

14 http://www.teacherplus.org/wp-content/uploads/2009/08/nature.jpg

15 http://i1.trekearth.com/photos/61679/imgp2917.jpg

16 http://t3.gstatic.com/images?q=tbn:ANd9GcRnSEsfUTIa_2__2Y0UVsbqYq2hEuKXmlfd_45TFHFHkz74WEeASg

17 http://bobtowery.typepad.com/.a/6a010536dc2e27970c0115709074e7970c-800wi

18 http://www.masa.co.il/MASA/_fck_uploads/Image/masaacher/145_new/145_p112.jpg

19 http://t2.gstatic.com/images?q=tbn:ANd9GcQf1Wpi4zdw6z8Itxl0e1F5PM08QQjY9U0qUbpVbrInbrj2eGWm7TqxMaS_Fg

20 http://www2.frederick.k12.va.us/wq/symmetry/boycircle.gif

21 סימטריה באמנות ובאדריכלות Symmetry in Art & Architecture http://t0.gstatic.com/images?q=tbn:ANd9GcT65w6Yx4FKxzHkCDpJC6i rCoJLklS9ZIYCjxt4hB6urDvYpUdj7Q http://allaboutjerusalem.com/sites/default/files/imageca che/big-image-gallery/ifa_upload/solomon_stables.jpg

22 http://bezalel.secured.co.il/zope/home/he/1126095346/1130509893-tamir/image7.jpg?display=

23 http://www.mkm-haifa.co.il/schools/davidy/proyectim/math/escher/fish2.files/slide0002_image002.jpg

24 http://www.mkm- haifa.co.il/schools/davidy/proyectim/math/escher/fishbirds.files/slide0002_image002.png

25 http://www.google.co.il/imgres?q=%D7%A1%D7%99%D7%9E%D7%98%D7%A8%D7%99%D7%94+%D7%91%D7%90%D7%95%D7%9E%D 7%A0%D7%95%D7%AA&um=1&hl=en&sa=N&biw=1280&bih=823&tbm=isch&tbnid=AB312vDWBnUCZM:&imgrefurl=http://www.barto n.edu/galleries/TheScholasticArtAwards/GK_www/TurrentineMiddleSchool/pages/TurrentineMiddleSchool_KYsteboe_MasksinSymmetr y.htm&docid=2UKnnzCoudf2oM&imgurl=http://www.barton.edu/galleries/TheScholasticArtAwards/GK_www/TurrentineMiddleSchool/i mages/TurrentineMiddleSchool_KYsteboe_MasksinSymmetry.jpg&w=357&h=450&ei=tQ2wTuLuCJC5hAfpuZzzAg&zoom=1&iact=hc&vpx =808&vpy=157&dur=2090&hovh=252&hovw=200&tx=90&ty=151&sig=113568210252775167760&page=3&tbnh=145&tbnw=111&start =49&ndsp=25&ved=1t:429,r:4,s:49

26 http://4.bp.blogspot.com/- lQnpgRylSWY/TbYeB3GdQVI/AAAAAAAAARc/0NMELVWiFrY/s1600/2.jpg

27 http://www.google.co.il/imgres?q=%D7%A1%D7%99%D7%9E%D7%98%D7%A8%D7%99%D7%94+%D7%91%D7%90% D7%95%D7%9E%D7%A0%D7%95%D7%AA&um=1&hl=en&sa=N&biw=1280&bih=823&tbm=isch&tbnid=Tt2tZ1afAeS 1wM:&imgrefurl=http://marymaking.blogspot.com/2009/11/radial-symmetry-designs.html&docid=-LCtD- PqfmPJNM&imgurl=http://2.bp.blogspot.com/_cn6tk0jNr1k/SwlaW1V_OeI/AAAAAAAAAW0/uQXKhHSeAd0/s320/IM G_1946.jpg&w=320&h=240&ei=tQ2wTuLuCJC5hAfpuZzzAg&zoom=1&iact=hc&vpx=705&vpy=489&dur=3151&hovh= 192&hovw=256&tx=97&ty=100&sig=113568210252775167760&page=3&tbnh=133&tbnw=193&start=49&ndsp=25 &ved=1t:429,r:16,s:49

28 http://www.google.co.il/imgres?q=%D7%A1%D7%99%D7%9E%D7%98%D7%A8%D7%99%D7%94+%D7%91%D7%90%D7%95%D7%9E%D7%A0%D7%95% D7%AA&um=1&hl=en&sa=N&biw=1280&bih=823&tbm=isch&tbnid=J2Lcqo6q30yrLM:&imgrefurl=http://www.architecture.org.il/art_arch_rome.php&d ocid=eByhhtzbF8ATgM&imgurl=http://www.architecture.org.il/images/art_arch_rome_2.jpg&w=350&h=263&ei=QA6wTvK4BI6P4gTjiL3VAQ&zoom=1& iact=hc&vpx=503&vpy=289&dur=2153&hovh=195&hovw=259&tx=166&ty=137&sig=113568210252775167760&page=5&tbnh=133&tbnw=191&start=9 8&ndsp=25&ved=1t:429,r:2,s:98

29 http://www.google.co.il/imgres?q=%D7%A1%D7%99%D7%9E%D7%98%D7%A8%D7%99%D7%94+%D7%91%D7%90%D7%95%D7%9E%D7%A0%D7%95%D7%AA&um=1&hl=en&sa=N &biw=1280&bih=823&tbm=isch&tbnid=86yGml7bUUJ7rM:&imgrefurl=http://www.ehow.com/info_8327939_symmetry-art-works-suitable-children.html&docid=rh8OZMS6aTsM- M&imgurl=http://img.ehowcdn.com/article-page-main/ehow/images/a07/u4/o3/symmetry-art-works-suitable-children- 800x800.jpg&w=225&h=220&ei=QA6wTvK4BI6P4gTjiL3VAQ&zoom=1&iact=rc&dur=437&sig=113568210252775167760&page=6&tbnh=132&tbnw=144&start=123&ndsp=25&ved=1t :429,r:20,s:123&tx=92&ty=74

30 http://www.google.co.il/imgres?q=%D7%A1%D7%99%D7%9E%D7%98%D7%A8%D7%99%D7%94+%D7%91%D7%90%D7%93%D7%A8%D7%99%D7%9B%D7% 9C%D7%95%D7%AA&um=1&hl=en&biw=1280&bih=823&tbm=isch&tbnid=SqG03aYgvXLkLM:&imgrefurl=http://he.wikipedia.org/wiki/%25D7%25A1%25D7 %2599%25D7%259E%25D7%2598%25D7%25A8%25D7%2599%25D7%2594&docid=n-Dt6fOk- Nt4dM&imgurl=http://upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Reims_Kathedrale.jpg/250px-Reims_Kathedrale.jpg&w=250&h=333&ei=kQ- wTvLrLcinhAeU863sAg&zoom=1&iact=hc&vpx=746&vpy=124&dur=2996&hovh=259&hovw=194&tx=98&ty=164&sig=113568210252775167760&page=2&tb nh=136&tbnw=108&start=24&ndsp=26&ved=1t:429,r:17,s:24

31 http://www.google.co.il/imgres?q=%D7%A1%D7%99%D7%9E%D7%98%D7%A8%D7%99%D7%94+%D7%91%D7%90%D7%93%D7%A8%D7%99%D7%9B%D7%9C%D7%95 %D7%AA&um=1&hl=en&biw=1280&bih=823&tbm=isch&tbnid=vP3CdP- LiBgIGM:&imgrefurl=http://www.istrology.co.il/articles.php%3Fparent_code%3Dtop_numorology%26id%3D1833%26&docid=iA7RtSTtcI8M2M&imgurl=http://www.istro logy.co.il/images/Castel.jpg&w=352&h=333&ei=kQ- wTvLrLcinhAeU863sAg&zoom=1&iact=rc&dur=531&sig=113568210252775167760&page=6&tbnh=142&tbnw=158&start=127&ndsp=22&ved=1t:429,r:9,s:127&tx=88&ty =80

32 http://www.chinese-architecture.info/A-HIST.htm) http://www.chinainfoonline.com/ChineseArchitecture/Dou gong_Brackets.ht

33 http://ambulance-ambience.deviantart.com/art/art-of-symmetry-119495044

34 http://www.chinese-architecture.info/A-HIST.htm

35 http://math.ucr.edu/home/baez/KleinDual.gif כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

36 http://greatmathsgames.com/Symmetry/rotationpix/diamond.gif כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

37 http://1.bp.blogspot.com/- BzmUZ66FrsE/TlZebm3qYTI/AAAAAAAAABI/YoSVV7Wy_HE/s1600/0825111022-718245.jpg כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

38 http://he.wikipedia.org/wiki/%D7%A7%D7%95%D7%91%D7%A5:DeltoidPattern5.jpg כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

39 http://t0.gstatic.com/images?q=tbn:ANd9Gc RbGUtVUQHzZcNoH3ONCL1Nf06_dMXYVTM 4YvR2FZyVzU2cBRnc http://t1.gstatic.com/images?q=tbn:AN d9GcSB8WjUO5C4CZkK- s5UCdIvvesaFXuHjYIM3yOcFGjcq0yLaZa x כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

40 http://www.gadial.net/wp-content/uploads/2011/10/Wallpaper_group-p4m-5.jpg כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

41 http://www.hayadan.org.il/images/content3/2011/10/qaass i_crystals.jpg כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

42 http://v5.cache3.c.bigcache.googleapis.com/static.panoramio.com/photos/original/ 43059950.jpg?redirect_counter=2

43 http://www.hayadan.org.il/images/content3/2011/10/qaassi_crystals.jpg כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

44 http://physicaplus.org.il/articles3/quasi/fig13a.gif כמה סימטריות סיבוביות יש פה ? How Many Rotational Symmetries Can You Find?

45 http://www.ynet.co.il/PicServer2/13062011/3492241/Quasicrystal1_wa.jpg קוואזי - גביש quasi-periodic crystals

46 http://www.jovotoys.com/JovoLessons68.html קוואזי - גביש quasi-periodic crystals

47 http://www.google.co.il/imgres?q=quasicrystal&um=1&hl=en&sa=N&biw=1280&bih=823&tbm=isch&tbnid=f6OTIkL4QG3vFM:&imgrefurl= http://www.forextv.com/forex-news-story/nobel-prize-quasicrystals-force-scientists-to-rethink-the-very-nature-of-matter&docid=w- RVmfWEY1cBrM&imgurl=http://www.forextv.com/js/kcfinder/upload/images/quasicrystal.jpg&w=500&h=396&ei=ZBGwTtX6NMXChAeq4 O2CBA&zoom=1&iact=hc&vpx=870&vpy=139&dur=5897&hovh=200&hovw=252&tx=76&ty=154&sig=113568210252775167760&page=4&t bnh=140&tbnw=193&start=72&ndsp=25&ved=1t:429,r:4,s:72 קוואזי - גביש quasi-periodic crystals

48 לצפייה בבית :Check out these links at home: Symmetrical Structures http://www.youtube.com/watch?v=EED0XrYuq3g&feature=related Animated Penrose Tiling (part 2) http://www.youtube.com/watch?v=Pyg0f27kKXw&NR=1 סימטריה באומנות http://www.mkm- haifa.co.il/schools/davidy/proyectim/math/escher/escher%20symmetry.htm סימטריה סיבובית http://www.subtangent.com/maths/flash/ors.swf סימטריה סיבובית מסדר 3 http://www.flashymaths.co.uk/swf/rsymmetry.swf ועוד משחקי סימטריה http://www.adrianbruce.com/Symmetry/#symindex סקרנים ? רוצים לדעת עוד ? Curious? Want to learn some more?

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