84 lines
1.6 KiB
TeX
Executable File
84 lines
1.6 KiB
TeX
Executable File
\documentclass[
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solutions,
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singlenumbering,
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nopagenumber
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]{../../resources/ormc_handout}
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\usepackage{../../resources/macros}
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\title{Warm-Up: Painting}
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\uptitler{\smallurl{}}
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\subtitle{Prepared by Mark on \today.}
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\begin{document}
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\maketitle
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\problem{}
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You have a painting on a string. \par
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Hang the painting on two nails so that if either is removed, the painting falls. \par
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\vspace{2mm}
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You may detach the string as you hang the painting, but it must be re-attached once you're done.
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\note{The solution to this problem isn't an out-of-the-box trick, it's a clever wrapping of the string.}
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\begin{center}
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\begin{tikzpicture}[scale=2.0]
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\draw[line width = 0.5mm]
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(0, 1) --
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(2, 1) --
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(2, 0) --
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(0, 0) --
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cycle
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;
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\draw[line width = 0.5mm, dotted]
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(0.1, 1) --
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(1, 1.5) --
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(1.9, 1)
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;
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\fill (1, 1.5) circle[radius = 0.25mm];
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\draw[line width = 0.2mm]
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(0.66, 0.66) --
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(0.66, 0.35) --
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(0.60, 0.1)
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(0.72, 0.1)--(0.66, 0.35)
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;
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\draw[line width = 0.2mm]
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(0.66, 0.575) --
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(0.6, 0.475) --
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(0.525, 0.575)
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(0.66, 0.575) --
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(0.72, 0.475) --
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(0.795, 0.575)
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;
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\fill[color=white] (0.66, 0.66) circle[radius = 0.8mm];
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\draw (0.66, 0.66) circle[radius = 0.8mm];
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\end{tikzpicture}
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\end{center}
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\begin{solution}
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Say we have a left nail and a right nail. The path of the string is as follows:
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\begin{itemize}
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\item Start on the left
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\item Move over both nails, wrap right nail cw
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\item Wrap left nail ccw
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\item Wrap right nail ccw
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\item Exit downwards, in between both nails
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\end{itemize}
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\end{solution}
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\end{document} |