Gardner - Entertaining Mathematical Puzzles
-
Upload
frederic9866 -
Category
Documents
-
view
237 -
download
4
Transcript of Gardner - Entertaining Mathematical Puzzles
![Page 1: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/1.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 1/124
![Page 2: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/2.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 2/124
![Page 3: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/3.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 3/124
![Page 4: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/4.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 4/124
![Page 5: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/5.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 5/124
![Page 6: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/6.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 6/124
![Page 7: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/7.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 7/124
![Page 8: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/8.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 8/124
![Page 9: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/9.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 9/124
![Page 10: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/10.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 10/124
![Page 11: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/11.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 11/124
![Page 12: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/12.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 12/124
![Page 13: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/13.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 13/124
![Page 14: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/14.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 14/124
![Page 15: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/15.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 15/124
![Page 16: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/16.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 16/124
![Page 17: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/17.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 17/124
![Page 18: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/18.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 18/124
![Page 19: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/19.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 19/124
![Page 20: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/20.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 20/124
![Page 21: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/21.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 21/124
![Page 22: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/22.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 22/124
![Page 23: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/23.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 23/124
![Page 24: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/24.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 24/124
![Page 25: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/25.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 25/124
![Page 26: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/26.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 26/124
![Page 27: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/27.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 27/124
![Page 28: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/28.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 28/124
![Page 29: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/29.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 29/124
![Page 30: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/30.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 30/124
![Page 31: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/31.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 31/124
![Page 32: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/32.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 32/124
![Page 33: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/33.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 33/124
![Page 34: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/34.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 34/124
![Page 35: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/35.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 35/124
![Page 36: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/36.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 36/124
![Page 37: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/37.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 37/124
![Page 38: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/38.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 38/124
![Page 39: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/39.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 39/124
![Page 40: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/40.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 40/124
![Page 41: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/41.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 41/124
![Page 42: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/42.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 42/124
![Page 43: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/43.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 43/124
![Page 44: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/44.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 44/124
![Page 45: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/45.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 45/124
![Page 46: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/46.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 46/124
![Page 47: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/47.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 47/124
![Page 48: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/48.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 48/124
![Page 49: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/49.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 49/124
![Page 50: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/50.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 50/124
![Page 51: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/51.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 51/124
![Page 52: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/52.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 52/124
![Page 53: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/53.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 53/124
![Page 54: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/54.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 54/124
![Page 55: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/55.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 55/124
![Page 56: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/56.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 56/124
![Page 57: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/57.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 57/124
![Page 58: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/58.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 58/124
![Page 59: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/59.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 59/124
![Page 60: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/60.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 60/124
![Page 61: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/61.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 61/124
![Page 62: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/62.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 62/124
![Page 63: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/63.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 63/124
![Page 64: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/64.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 64/124
![Page 65: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/65.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 65/124
![Page 66: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/66.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 66/124
![Page 67: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/67.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 67/124
![Page 68: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/68.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 68/124
![Page 69: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/69.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 69/124
![Page 70: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/70.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 70/124
![Page 71: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/71.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 71/124
![Page 72: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/72.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 72/124
![Page 73: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/73.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 73/124
![Page 74: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/74.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 74/124
![Page 75: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/75.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 75/124
![Page 76: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/76.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 76/124
![Page 77: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/77.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 77/124
![Page 78: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/78.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 78/124
![Page 79: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/79.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 79/124
![Page 80: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/80.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 80/124
![Page 81: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/81.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 81/124
![Page 82: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/82.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 82/124
![Page 83: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/83.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 83/124
![Page 84: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/84.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 84/124
![Page 85: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/85.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 85/124
![Page 86: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/86.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 86/124
![Page 87: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/87.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 87/124
![Page 88: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/88.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 88/124
![Page 89: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/89.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 89/124
![Page 90: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/90.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 90/124
![Page 91: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/91.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 91/124
![Page 92: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/92.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 92/124
![Page 93: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/93.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 93/124
![Page 94: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/94.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 94/124
![Page 95: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/95.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 95/124
![Page 96: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/96.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 96/124
![Page 97: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/97.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 97/124
![Page 98: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/98.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 98/124
![Page 99: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/99.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 99/124
![Page 100: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/100.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 100/124
![Page 101: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/101.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 101/124
![Page 102: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/102.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 102/124
![Page 103: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/103.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 103/124
![Page 104: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/104.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 104/124
![Page 105: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/105.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 105/124
![Page 106: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/106.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 106/124
![Page 107: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/107.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 107/124
![Page 108: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/108.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 108/124
![Page 109: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/109.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 109/124
![Page 110: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/110.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 110/124
![Page 111: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/111.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 111/124
![Page 112: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/112.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 112/124
![Page 113: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/113.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 113/124
![Page 114: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/114.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 114/124
![Page 115: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/115.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 115/124
![Page 116: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/116.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 116/124
![Page 117: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/117.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 117/124
![Page 118: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/118.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 118/124
![Page 119: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/119.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 119/124
![Page 120: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/120.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 120/124
![Page 121: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/121.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 121/124
![Page 122: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/122.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 122/124
![Page 123: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/123.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 123/124
![Page 124: Gardner - Entertaining Mathematical Puzzles](https://reader036.fdocuments.net/reader036/viewer/2022062317/577c80341a28abe054a7afe2/html5/thumbnails/124.jpg)
8/18/2019 Gardner - Entertaining Mathematical Puzzles
http://slidepdf.com/reader/full/gardner-entertaining-mathematical-puzzles 124/124