HPS 0628 | Paradox | |
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For submission
1. Show that a sheet of paper can be folded into quarters under the rules of the paper folding scheme in the chapter.
2. Show that the a sheet of paper cannot be folded into fifths under the rules of the paper folding scheme in the chapter.
3. A circle can be inscribed in a square so it touches all four sides. Use this fact to determine if a circle can doubled in area, i.e. form a circle of double the area.
4. A sphere can be
inscribed in a cube so it touches all 6 sides. Use this fact to determine
if a sphere can be doubled in volume.