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BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards

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Page 1: BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards
Page 2: BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards
Page 3: BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards
Page 4: BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards
Page 5: BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards
Page 6: BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards
Page 7: BloonBooklet - Martin Gardner · balloon uninflated that the air has mom to expand for each twist you make. For the same leason, start tuisting at the inflated end, moving towards

PDF version of “Mathematical Balloon Twisting” booklet, printed and distributed at the 9th Gathering for

Gardner, in March 2010, by Vi Hart. Not for distribution.

This work is licensed under a Creative Commons Attribution 3.0 Unported License,

which lets you distribute, tweak, and build upon this booklet as long

as you credit Vi Hart for the original version.

This work is licensed under a Creative Commons Attribution License, which lets you

distribute, tweak, and build upon this Mathematical Balloon Twisting booklet

as long as you credit Vi Hart for the original version.