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|In the 1600s, Prince Rupert asked a famous geometrical question: What is the |
largest wooden cube that can pass through a given cube of side length one inch?
More precisely, what is the size R of the edge of the largest tunnel (with a square
|core cube shows different colored faces, but withdrawal is slow and I wouldn't |
recommend anyone to play around with the cubes at all. The problem of pushing
a larger cube through a hole in a smaller cube is known as Prince Rupert's ...
|Prince Rupert's problem The problem of pushing a cube through a hole in |
another cube of equal or less size; it is named after Prince Rupert (1619–1682), a
nephew of England's King Charles I, who won a wager that a hole could be made
Michael Henle, Brian Hopkins - 2011 - Preview
|470–471], Prince Rupert (1619–1682) won a wager that a hole can be cut in one |
of two equal cubes large enough to permit the second cube to pass through.
Nearly a century later the Dutch scientist Pieter Nieuwland (1764–1794) showed
|Now the Solid is complete, being as high as it is long and broad, and we call it a |
Cube." "Pardon me, my Lord," replied I; "but to my eye the ... cube (6% larger, in
fact) to pass through. This puzzle is known as Prince Rupert's Cubes (Figure 34).
|A cube of this Side length is called Prince Rupert's cube. It is the largest cube that |
can pass through a cube of side length 1 (the cube that we Started with). 3.14
Use Pascal's triangle to find the expansion of (:c + y)5. 3.15 Use Pascal's triangle
|Prince Rupert proposed the problem of finding the largest cube that may be |
passed through a given cube, that is to say the ... In theory, making no allowance
for physical constraints such as friction, a cube of side 1.06066 0... may be
|4.70 Tunnel through a cube: A true story. = 1.060660 . . . In other words, a cube |
with a side length of 1.060660 . . . inches can pass through a cube with a side of
1 inch. 324 In the late seventeenth century, Prince Rupert, whose other titles
|The Problem of Prince Rupert. Remove from a cube a piece so that a greater |
cube can be pushed through the hole. Show that this can be done if the edge of
the greater cube is less that J \/ 2, where the given cube has edges of unit length.
|For instance Stewart (2001) describes the non-intuitive possibility of fitting a cube |
of side length 1.06 into a ... problem of fitting a larger cube into a smaller one was
a wager made and won by Prince Rupert in the late seventeenth century ...
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