 h a l f b a k e r y Funny peculiar.
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Apparently, in double blind taste tests, objects that come in the shape of the 'golden rectangle' are the preferred choice over objects that are shaped like pretzels or any other kind of shape there is. These studies were kept so secretive that nobody even knows about them, not even the people who ran
the experiments or the people that were the guinnie pigs in the experiment, so secretive that the results never even got published, so of course it's true! Anyhow, this gave me a brilliant idea! I want a pure chocolate cookie that is in the shape of the front elevation of the Parthenon. The Golden Spiral/Rectangle/Ratio/Number
http://irrationalth...iospiralnumber.html [quantum_flux, Jun 21 2008]
Stonehenge Weetabix kit
Stonehenge_20Weetabix_20kit ...also in the edible Seven Wonders series... [hippo, Jun 23 2008]
2001: The breakfast cereal
2001_3a_20The_20breakfast_20cereal The cereal which comes in the obelisk-shaped box. [hippo, Jun 23 2008]
The Search for the Perfect Cuboid
http://www.answers....boid?cat=technology [quantum_flux, Jun 23 2008]
[link]
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Anything chocolate generally gets a bun, so [+] |
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oh, I don't know - a great pyramid would work for me. |
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Why not a Seven Wonders series of chocolate creations? |
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By an interesting fluke, [P]o has a point - a
Golden Rectangle is two-dimensional, and
hence would contain zero chocolate. |
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Has anyone searched for the perfect
cuboid? I'm assuming the same 1.6...:1
ratio would be repeated across all three
dimensions, but that might not work. |
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//the same 1.6...:1 ratio would be
repeated across all three dimensions,
but that might not work.// I think
you're right. |
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Look at any corner of a cuboid and the
3 edges meeting there - call them x, y
and z. Each pair from these edges
would have to form the golden ratio if
their corresponding face were to form a
golden rectangle. |
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That can't happen. If x and y are in the
golden ratio and y and z are too then x
and z cannot be (the choices are that x
= z or x = Phi^2 * z or z = Phi^2 * x).
So there will always be 2 of the 6
faces that do not form a golden
rectangle. |
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sqrt( sqrt(3)^2+sqrt(3)^2+sqrt(3)^2) = 3 |
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....now, if I can just find a base system where both sqrt(3) and 3 are integers.... |
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dark chocolate monoliths. Very dark. |
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"My God ! It's full of ...... hazelnuts ?" |
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//sqrt( sqrt(3)^2+sqrt(3)^2+sqrt(3)^2) =
3// Indeed, but then the cuboid would be
a cube. |
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Can the set of all cubes be considered as a subset of the set of all cuboids, or is that disallowed? |
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Also, according to answers.com, the perfect cuboid remains elusive and they've exhausted every possible combination up to 4.3 billion. Hmmm, I wonder if they ever tried ... {0, 3, 4} or {i, 0, 1}....As far as getting real integers is concerned, I'll bet people would have better luck looking for quantum superconducting effects in perfect crystal cubic structures and then estimating the angstroms traveled per cesium vibration, or something of the likes. |
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Maybe they need an 1/e/pi cube? I think
that would look nice. |
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We'll make one for you, if you can tell us exactly how long the edges need to be........ |
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No problem. For the pi side, just build a
circle of unit diameter and unroll it. For
the e side, start with an infinite amount of
carbon 13, a very accurate Geiger counter,
and a stopwatch. Further instructions will
follow. Or just make it exp(1) |
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Chocolate Great Pyramids are the cookie of ancient Egyptian folly! Seriously, the world would be a much better place by now if those Egyptians spent more time studying the maths and sciences, and less time being whipped by slave drivers and building giant sand castles for Pharoah while worshipping the sun god. ..... hmmmm, but sometimes folly tastes good too. Maybe a pyramid shaped chocolate cookie would taste just slightly bitter, but with a mild sweetness to it. |
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If you made it out of a chocolate substitute and put a picture of a dung beetle on the wrapper, you could call it "S'carob!" |
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Mmmmm, "chocolate Egyptian dung beetle." |
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