< Earlier Kibitzing · PAGE 283 OF 283 ·
|May-13-16|| ||al wazir: <Shams>: How can a 10-sided die (much less a 120-sided one) be fair? The only regular (Platonic) solids have 4, 6, 8, 12, or 20 sides. A polyhedron with any other number of sides *must* be irregular, i.e., the sides have different areas, so the probabilities of the various possible outcomes *must* be unequal.|
The best way to *simulate* a 10- or 120- sided die is digitally, using a random number generator. (Of course so-called random number generators are only pseudo-random, but the best of them come closer to being truly random than a physical die thrown by a human being.)
|May-13-16|| ||Shams: <al wazir> It's a good question! I just rolled them though. I have no idea. Does this help? https://en.wikipedia.org/wiki/Penta...|
|May-13-16|| ||alexmagnus: <al-wazir> Who says the die is thrown in our three-dimensional world? :). In four dimensions, there are <six> Platonic bodies (in any bigger number of dimensions only three of them - the analogons of our cube, tetrahedron and octahedron). Of course, for each dimension the number of "surfaces" (that is, elements of dimension n-1 constituting the body) is different.|
|May-13-16|| ||alexmagnus: Among others, the four-dimensional analogon of our dodecahedron has 120 cells.|
|May-13-16|| ||alexmagnus: <Among others, the four-dimensional analogon of our dodecahedron has 120 cells.>|
"Among others" if of course a bit of stretch here. I mean, just looked up the respective formulae. Apart from the four-dimensional version of the dodecahedron, the only other platonic bodies with 120 faces is the 119-dimensional version of the tetrahedron and the 60-dimensional version of the cube.
The possible number of faces for 3 dimensions is given by al-wazir - it is 4, 6, 8, 12 and 20. For 4 dimensions, it is 5 ("tetraedron"), 8 ("cube"), 16 ("octahedron"), 24 (no analogon in three dimensions), 120 ("dodecahedron") and 600 ("icosahedron"). For n dimensions with n>4 it is n+1 ("tetrahedron"), 2n ("cube") and 2^n ("octahedron").
|May-16-16|| ||al wazir: A question not previously touched on here, or anywhere else that I'm aware of, is this: after you've thrown a die with 4, 8, or 20 sides and it's resting on a flat surface, which side is "up"? There is no single side that is on top.|
The best answer I can think of is that you use the one on the bottom, the one that is flush against the surface. (With a cube or a dodecahedron, one side is on top, one is on the bottom, and the problem doesn't arise.)
|May-17-16|| ||alexmagnus: The side on the bottom is the most intuitive or easy to understand possibility. So yes :)|
|May-24-16|| ||WannaBe: 1. Washington DC
2. Washington DC
3. Washington DC
4. Washington DC
5. Washington DC
6. why am I bothering to go further with thin??? =)))
|May-24-16|| ||al wazir: Geography Quiz.
Match the following countries (all UN members) with their capitals:
11 Saint Kitts and Nevis
12 Saint Vincent and the Grenadines
K. Kuala Lumpur
S. Port Louis
Answers below (in roman numerals so you won't inadvertently notice the answers).
|May-24-16|| ||OhioChessFan: 3, 4, and 17 were easy. Almost guessing the rest of them.|
|May-25-16|| ||al wazir: I agree. Most of those capitals are pretty obscure. I might have been able to get half a dozen right if I thought for a while. Maybe half of them were places I never heard of.|
I chose the pairs of countries because they have confusingly similar names. So here's a better quiz. Just tell where they're located. For each country on the list, identify the *continent* (or the ocean in the case of island nations) and two or more of its nearest neighbors.
Examples: For the United States the correct answer would be "in North America, between Canada and Mexico." For Japan a correct answer would be "in the Pacific Ocean, near South Korea, Russia, and China."
It's still not easy.
|May-25-16|| ||alexmagnus: Honest answers from me, no cheating and no more than 20 seconds of thinking time on each. Think will be average... (Continent+no idea means I don't know any neighbors but am sure of the continent). Continents are all sure, neighbors some guesses. |
1. Africa, no idea.
2. South America. Suriname, Brazil, possibly French Guyana and Venezuela
3. Asia. Iraq, Azerbaijan, Afghanistan
4. Asia. Iran, Syria
5. Africa. Mozambique? South Africa?
6. Asia. Singapore, Indonesia, Brunei, Thailand
7. Africa. Hm, Sudan?
8. Africa. No idea about neighbors.
9, Africa. Nigeria, possibly Benin
10. Africa. Niger, Cameroon, Tchad, Mali?
11. Atlantic Ocean or Central America. No idea about neighbors.
12. Atlantic Ocean
13. Europe. Czechia, Ukraine, Poland
14. Europe. Croatia, Austria.
15. Africa, somewhere in the center. Wild guess on neighbors: Central African Republic, Sudan?
16. Pacific Ocean, don't think it borders anything
17. Asia/Europe. Syria, Iraq, Azerbaijan, Armenia, Greece.
18. Asia. Uzbekistan, Tajikistan, possibly Kyrgyzstan and Kazskhstan, China.
19. Africa. South Africa, Zimbabwe?
20. Africa. South Africa, Zambia?
No I'll go and check my answers ))
|May-25-16|| ||alexmagnus: My mistakes: Guyana does not border French Guyana (but the other nighbors were correct)|
Iran and Iraq do not border (mixed up Iraq and Syria in my mental image of the world)
Malawi is quite far from RSA but at least it does border Mozambique :)
Mauritania - grrr , got totally wrong direction. Knew it's North of the northernmost African countries, but I thought it is in the East and not in the West.
Didn't even know Mauritius is an island nation
Nigeria does not border Mali. But I was wise enough to put a question mark behind Mali :)
Totally wrong on Togo's location (correct continent, but wrong idea where on the continent. I need to refresh my Africa :D)
Located Turkmenistan to far on the West (see my assertion that it borders China), so that of the neighbors I named only Kazakhstan and Uzbekistan were correct.
Zambia and Zimbabwe do not border South Africa. You know why the mistake occured to me? Because I knew Zimbabwe used South African rand as a substitute currency during the hyperinflation.
|May-25-16|| ||alexmagnus: <Knew it's North of the northernmost African countries>|
<South> of norhernmost African countries is meant of course, otherwise it wouldn't be Africa :D
|May-25-16|| ||alexmagnus: <Located Turkmenistan to far on the West >|
Same here, too far on the east is meant :)
|May-25-16|| ||posoo: da OLD POSOO has a ridul.
IMAGINE dat there is an island nation of 100 fokes. 30 of them have BLUE eyes and 70 have GREEN eyes but da pople are unaware of dat distrabution.
WHY are they unaware?? Because for some UNCIENT reason eye collore is TRICKY on dis island. In FACT, da law of da land is dat, if you realize u have blue eyes, you must KILL YOURSELF at midnight of da day when u discover your blueness.
NOW for a long while da whole islund just wears sunglasses and it's cool. But then one day they agree to ALL TAKE OFF DA SUNGLUSES at ONCE.
Here is da ridul:
1). There are no rafflective surfices on da island
2). Da water dosunt count
3). NOBODY IN DIS RIDUL ever SAYS ANYTHING about eye colur.
4). But da whole island all possess flawless powurs of daductive reasoning.
QUESTION: WHAT HAPPENS? WHO KILLS THEMSELVES, WHEN, AND WHY?
|May-25-16|| ||nok: <Most of those capitals are pretty obscure. I might have been able to get half a dozen right if I thought for a while. Maybe half of them were places I never heard of.>|
I can tell you're an American because 'cross the pond most seem reasonably easy (esp. 13 & 14). First one is a giveaway because "Guinea-Conakry" is often used to contrast Guinea-Bissau, much like Congo-Kinshasa and Congo-Brazza. I'd say the harder ones are 5, 11, 12, 16 and 19.
Of course, we couldn't name two cities in Alabama (Mobile??)
|May-25-16|| ||alexmagnus: <First one is a giveaway because "Guinea-Conakry" is often used to contrast Guinea-Bissau, much like Congo-Kinshasa and Congo-Brazza.>|
I heard of the distinction of the two Congos by capital (isn't it Congo-Brazzaville? The other way do dtstinguish those of cause naming one simply Congo and the other one DR Congo, even thogh the DR is much less democratic :D) but never heard the expression "Guinea-Conakry" (the three Guineas are just Guinea, Guinea-Bissau and Equatorial Guinea).
|May-25-16|| ||WannaBe: <nok> Birmingham, Tuscaloosa, Auburn. =))|
Yes, Mobile is in Alabama.
|May-25-16|| ||alexmagnus: I know about 80-85% of world's capitals, but probably not even 10% of the US states capitals. An average American is probably other way around :)|
|May-25-16|| ||nok: Yeah, Brazzaville. Kinshasa was Leopoldville.
<Yes, Mobile is in Alabama.>
Knew that because of a bootleg.
|May-25-16|| ||posoo: is u all stomped?|
|May-25-16|| ||dalbertz: posoo: I think you need to add the condition that all islanders know at least one person on the island has blue eyes before they take their sunglasses off, otherwise I don't see how any one person could deduce their own condition.|
(i.e. imagine only one person has blue eyes. When everyone takes off their sunglasses, that person sees nothing but green eyes. Without this condition, that person would have no way of making the deduction.)
|May-25-16|| ||posoo: Dalberts you are ON THE ABSOLUT RIGHT TRAK
but dat condition is sattasfied bc when they take da glasses off they can SEE FOR THEMSELFS.
|May-25-16|| ||posoo: but by your question it is OVIOUS dat you kno da anser.|
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