ThingstoMakeandDointheFourthDimension_AM.epub - (EPUB全文下载)
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Dedicated to Keith and Nona Pallot, my maternal grandparents, who inspired me to make and teach
Contents
Title Page
Copyright Notice
Dedication
0 The Zeroth Chapter
1 Can You Digit?
2 Making Shapes
3 Be There and Be Square
4 Shape Shifting
5 Shapes: Now in 3D
6 Pack It Up, Pack It In
7 Prime Time
8 Knot a Problem
9 Just for Graphs
10 The Fourth Dimension
11 The Algorithm Method
12 How to Build a Computer
13 Number Mash-ups
14 Ridiculous Shapes
15 Higher Dimensions
16 Good Data Die Hard
17 Ridiculous Numbers
18 To Infinity and Beyond
n + 1 The Subsequent Chapter
Notes
The Answers at the Back of the Book
Acknowledgements
Text and Image Credits
A Note About the Author
Copyright
Zero
THE ZEROTH CHAPTER
Have a look around you and find a drinking vessel, like a pint glass or a coffee mug. Despite appearances, almost certainly the distance around the glass will be greater than its height. Something like a pint glass may look like it is definitely taller than it is round, but a standard UK pint glass is actually around 1.8 times greater in circumference than in height. A standard ‘tall’ takeaway cup from omnipresent high-street coffee shop Starbucks is actually 2.3 times further around, but yet they refuse my requests to rename it the ‘squat’.
Using this to your advantage is easy enough: when you are next drinking in a pub, café or whichever drinking establishment serves the sort of beverages you enjoy getting for free, bet someone that their drinking vessel is further around than it is high. If there is a ‘pot’ beer glass (the ones with handles) in the pub, or an obscenely large mug in the café, then you’re sorted: they are typically three times as far around as they are tall, so you can dramatically stack three of them and claim it is still further around than up. Producing a tape measure at this point may cause your victims to question the spontaneity of the whole exercise, so use a nearby straw, or its protective paper sleeve, as a makeshift ruler.
This works for all glasses, except for only the skinniest of champagne flute ............
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