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I bet you didn't know that this thread would have a part 2

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Comments

  • Registered Users, Registered Users 2 Posts: 2,342 ✭✭✭seagull


    Is it still a triangle if it's not on a flat surface?


  • Registered Users, Registered Users 2 Posts: 40,516 ✭✭✭✭ohnonotgmail


    seagull wrote: »
    Is it still a triangle if it's not on a flat surface?

    it is still a triangle but the properties of a triangle that you are familair with from school dont apply. those properties, like the angles adding up to 180 and the Pythagorean theorem, only apply to the euclidean plane i.e. a flat surface.



  • Registered Users, Registered Users 2 Posts: 10,558 ✭✭✭✭Fourier


    So here you can see both a square and a triangle on a sphere:

    paR1uQ.jpg

    You can see on the square that two of the sides overshoot the point of closure and continue on past where they meet. Triangles have angles that sum to over 180 and also circles will have circumferences greater than pi times their diameter. This is called positive curvature.

    On other shapes, like a horse saddle, two lines will undershoot the point of closure and fail to seal off the area, triangles will have angles that add to less than 180 and circles will have circumferences less than pi times their diameter. This is called negative curvature.

    GtUEBb.jpg

    Another way of measuring it is how two lines move away from each other as they extend forward. Note how for positive curvature they flow toward each other. I'll mention this again below.

    XcbpsI.jpg

    Of course spheres and saddles are special cases where they're negatively or positively curved everywhere. In other shapes it varies.

    Like a kettle:
    g2TSsM.jpg

    Or a wine glass:
    iSFZdq.jpg

    Light blue is very negative curvature, Yellow is very positive curvature. If you draw a little square near a yellow point it will overshoot closing off. Or going back to my third picture, little lines drawn near it will flow together.

    Now that's enough for 2D surfaces.

    For 3D surfaces you can't use how a square closes off to check curvature, you need a cube. Instead of checking the angles of triangles, you need to check the angles of pyramids. And instead of circles, you need spheres.

    A human can't imagine a curved 3D space, but mathematically it's basically as easy to handle as the 2D case.

    And this is in fact leads to what Einstein's Field Equation says:
    MhhuDB.jpg

    The left hand side measures how much cubes close off and the right hand side measures the density of mass.

    What it's basically saying is that cubes will overshoot their closure more the more dense the matter is inside them. However using the way of thinking of curvature given in the third picture it means lines will flow together near points with high mass, i.e. things will move toward high mass => gravity.


  • Posts: 0 [Deleted User]


    Owl's eyes are not spherical like ours but are actually tubular.
    As a result of this they cannot change the direction of their eyeballs (or should that be eyetubes?), hence the necessity that they have such an extensive range of motion in their head and neck.


  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight


    Fourier wrote: »
    It's actually because the Earth gets fatter toward the equator that walking 100 miles in each direction doesn't have you end up back where you started.

    I'll put up a bit more of an explanation later today.
    It's hotter at the equator , so things expand ?


  • Posts: 0 [Deleted User]


    The number of people to graduate from university/college in this country in 1952 was around 1,400, while in 2017 it was around 70,000. That is a 50 fold increase over a time period when the population as a whole didn't even double (increased by 60%).

    In the late 60s the figure was about 3,500, so even since then it has increased 20-fold (population was then similar to the early 50s).

    Edit: I just remembered that the numbers of women graduating in the 50s and 60s would have been very low and that the high numbers of today reflect their equal (probably higher?) participation in third level, but even taking that into account the numbers are interesting I think.

    Also, source is page 3 of this ESRI paper from the late 60s: https://www.esri.ie/system/files/media/file-uploads/2012-09/GRS43.pdf

    Another interesting note: "Irish industry at the present time (November 1968) only recruits about 100 graduates a year." :O. Different times!


  • Moderators, Computer Games Moderators, Social & Fun Moderators Posts: 80,776 Mod ✭✭✭✭Sephiroth_dude


    Sections of the Autobahn in Germany have no speed limit.


  • Posts: 0 [Deleted User]


    There is a big building just off the M1 at Donabate, you can see one elevation of it as you're driving into the village, it even has its own wind turbine for power generation


    This is the Tesco distribution centre for Ireland. All goods are shipped to Dublin port, brought there and then loaded up for distribution to the 150-odd Tescos around the country, including all the NI stores.


    https://www.google.ie/maps/@53.4781389,-6.199248,3a,24.5y,39.42h,90.1t/data=!3m6!1e1!3m4!1sEq3Rwv6uO5nio6LnaeBTPg!2e0!7i13312!8i6656


    It looks big, even from that point which is about 1.5km away. And it IS big.


    Huge, in fact.


    It has a footprint of over 80,000 sq. metres, which is impressive on it's own. But the fact that it is essentially one big rectangular cube means it has a volume that is even more impressive: over 1.5 million cubic metres. To put that in context, it is the 10th biggest building, by volume, in the world. In. The. World.

    It was number 9 until the Finnish entry at number 8 was completed last year.

    Edit: forgot the Wikipedia link

    https://en.wikipedia.org/wiki/List_of_largest_buildings


  • Registered Users, Registered Users 2 Posts: 29,097 ✭✭✭✭Quazzie


    Sections of the Autobahn in Germany have no speed limit.

    I know as I was just driving 250km/h on it two weeks ago :P


  • Registered Users, Registered Users 2 Posts: 1,638 ✭✭✭b318isp


    It's hotter at the equator , so things expand ?

    At the equator, the effective gravitational acceleration is 9.7805 m/s2. This means that the true gravitational acceleration at the equator must be 9.8144 m/s2 (9.7805 + 0.0339 = 9.8144).

    At the poles, the gravitational acceleration is 9.8322 m/s2. The difference of 0.0178 m/s2 between the gravitational acceleration at the poles and the true gravitational acceleration at the equator is because objects located on the equator are about 21 kilometers further away from the center of mass of the Earth than at the poles, which corresponds to a smaller gravitational acceleration.

    https://en.wikipedia.org/wiki/Equatorial_bulge


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  • Moderators, Computer Games Moderators, Social & Fun Moderators Posts: 80,776 Mod ✭✭✭✭Sephiroth_dude


    Quazzie wrote: »
    I know as I was just driving 250km/h on it two weeks ago :P

    :eek::eek:


  • Registered Users, Registered Users 2 Posts: 22,507 ✭✭✭✭Esel


    The mountain whose summit is furthest from the centre of the earth is Chimborazo in Ecuador.

    https://en.m.wikipedia.org/wiki/Chimborazo

    Not your ornery onager



  • Registered Users, Registered Users 2 Posts: 11,690 ✭✭✭✭Skylinehead


    Esel wrote: »
    The mountain whose summit is furthest from the centre of the earth is Chimborazo in Mexico.

    https://en.m.wikipedia.org/wiki/Chimborazo

    Ecuador is not Mexico :pac:

    The main reason for this is that the Earth bulges at the equator, giving it an extra 20km or so of distance to the centre compared to the poles.


  • Registered Users, Registered Users 2 Posts: 22,507 ✭✭✭✭Esel


    Nixonbot wrote: »
    Ecuador is not Mexico :pac:

    The main reason for this is that the Earth bulges at the equator, giving it an extra 20km or so of distance to the centre compared to the poles.
    It is now. I edited the Wiki page to make it so. :D

    Everyone on this thread knows about the Earth's spare tyre already.

    Not your ornery onager



  • Registered Users Posts: 822 ✭✭✭lapua20grain


    There is a big building just off the M1 at Donabate, you can see one elevation of it as you're driving into the village, it even has its own wind turbine for power generation


    This is the Tesco distribution centre for Ireland. All goods are shipped to Dublin port, brought there and then loaded up for distribution to the 150-odd Tescos around the country, including all the NI stores.


    https://www.google.ie/maps/@53.4781389,-6.199248,3a,24.5y,39.42h,90.1t/data=!3m6!1e1!3m4!1sEq3Rwv6uO5nio6LnaeBTPg!2e0!7i13312!8i6656


    It looks big, even from that point which is about 1.5km away. And it IS big.


    Huge, in fact.


    It has a footprint of over 80,000 sq. metres, which is impressive on it's own. But the fact that it is essentially one big rectangular cube means it has a volume that is even more impressive: over 1.5 million cubic metres. To put that in context, it is the 10th biggest building, by volume, in the world. In. The. World.

    It was number 9 until the Finnish entry at number 8 was completed last year.

    Edit: forgot the Wikipedia link

    https://en.wikipedia.org/wiki/List_of_largest_buildings
    There are 700,000 pallets spaces with on average of 1.8million cases of stock picked and dispatched from there with a further approx 8k roll cages of slow moving stock trunked to there from other Tesco depots in the UK which is then distributed to ROI stores. The majority of stock is sourced in Ireland and not through Dublin port as you have stated, I know this as I worked in their supply chain and distribution.


  • Posts: 26,052 ✭✭✭✭ [Deleted User]


    There is a big building just off the M1 at Donabate, you can see one elevation of it as you're driving into the village, it even has its own wind turbine for power generation


    This is the Tesco distribution centre for Ireland. All goods are shipped to Dublin port, brought there and then loaded up for distribution to the 150-odd Tescos around the country, including all the NI stores.


    https://www.google.ie/maps/@53.4781389,-6.199248,3a,24.5y,39.42h,90.1t/data=!3m6!1e1!3m4!1sEq3Rwv6uO5nio6LnaeBTPg!2e0!7i13312!8i6656


    It looks big, even from that point which is about 1.5km away. And it IS big.


    Huge, in fact.


    It has a footprint of over 80,000 sq. metres, which is impressive on it's own. But the fact that it is essentially one big rectangular cube means it has a volume that is even more impressive: over 1.5 million cubic metres. To put that in context, it is the 10th biggest building, by volume, in the world. In. The. World.

    It was number 9 until the Finnish entry at number 8 was completed last year.

    Edit: forgot the Wikipedia link

    https://en.wikipedia.org/wiki/List_of_largest_buildings


    Now I know where to head when the zombie apocalypse hits.


  • Registered Users, Registered Users 2 Posts: 24,268 ✭✭✭✭Sleepy


    I pass the Tesco Distribution Centre every day. Our Zombie apocalypse plan involves raiding it before heading out to Lambay :)


  • Registered Users, Registered Users 2 Posts: 22,507 ✭✭✭✭Esel


    Sleepy wrote: »
    I pass the Tesco Distribution Centre every day. Our Zombie apocalypse plan involves raiding it before heading out to Lambay :)
    You can eat the wallabies there too.

    Not your ornery onager



  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight




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  • Moderators, Science, Health & Environment Moderators, Society & Culture Moderators Posts: 6,309 Mod ✭✭✭✭mzungu


    The Eiffel Tower was originally supposed to be in Barcelona. But thinking the thing would end up looking like an eyesore, the city rejected Gustave Eiffel's plans, and he was forced to repitch the project elsewhere. Luckily, Eiffel found a home for his idea in Paris. The rest is history.


  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight


    The Eiffel Tower was only supposed to be temporary.


  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight


    EVERYBODY expected the Spanish Inquisition - they were legally obliged to give 30 days notice


  • Closed Accounts Posts: 9,586 ✭✭✭4068ac1elhodqr


    The o2 Dome features on the previous page's link (along with Tesco Ire's DC) as one of the 10 largest buildings in the world by volume.

    But the o2 may face competition from a new dome in East Ldn: The MSG Sphere.
    If it gets the go-ahead, will be the uk's largest indoor concert venue with room for 21,500 (17.5 seated).

    Other features:

    The largest and highest resolution LED screen in the world. The building would be wrapped in triangular LED panels
    A diameter of 120m and a height of 90m, Haptic flooring system conveying bass through the floor so that the audience can ‘feel’ the experience
    An adaptive acoustics system to deliver ‘crystal-clear audio to every guest, no matter the size or type of event’
    Wireless connectivity delivering 25 megabits per second for every guest, ‘enabling a broader range of content, greater interaction among guests, and more immersive entertainment experiences’


  • Registered Users, Registered Users 2 Posts: 3,640 ✭✭✭Kat1170


    Sections of the Autobahn in Germany have no speed limit.


    They do in fact have a speed limit albeit a minimum one not the more common maximum one.


  • Registered Users, Registered Users 2 Posts: 10,911 ✭✭✭✭Realt Dearg Sec


    The Eiffel Tower was only supposed to be temporary.
    And it was despised by Parisians. Guy de Maupassant would eat there every day because it had the only view of the city where he couldn't see it.


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  • Registered Users, Registered Users 2 Posts: 10,305 ✭✭✭✭branie2


    The recently deceased actor, Shane Rimmer, appeared in Coronation Street


  • Registered Users, Registered Users 2 Posts: 10,305 ✭✭✭✭branie2


    EVERYBODY expected the Spanish Inquisition - they were legally obliged to give 30 days notice

    The number of people killed by the Inquisition was actually lower than believed.


  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight


    branie2 wrote: »
    The number of people killed by the Inquisition was actually lower than believed.
    People given a choice between the civil authorities and the inquisition usually took the latter, because they had rules.

    Also most of the torture was psychological. Rather than set to with red hot pincers, they'd show the client all the tools and explain in detail how each was used. Then a night in the cells to concentrate the mind. Most people didn't go on to actual torture. But if they did there were rules about what could be done and for how long.

    Also a lot of it was political early on after the re conquest of Spain. Once it settled down a lot of it was people denouncing their enemies for profit.



    The reason why the inquisition stands out is because the invention of printing meant it was widely denounced in Northern Europe where the Protestant witch hunts were killing more.


  • Registered Users, Registered Users 2 Posts: 10,911 ✭✭✭✭Realt Dearg Sec


    Protestants! Up to their old tricks again!


  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight


    The asteroid that wiped out the dinos hit 65.76 million years ago


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  • Registered Users, Registered Users 2 Posts: 10,305 ✭✭✭✭branie2


    The words "Beam me up, Scotty" were actually never said in Star Trek


  • Registered Users, Registered Users 2 Posts: 14,381 ✭✭✭✭Professor Moriarty


    The words "Play it again, Sam" weren't said in Casablanca. The line is actually "Play it once, Sam".


  • Registered Users, Registered Users 2 Posts: 22,507 ✭✭✭✭Esel


    The asteroid that wiped out the dinos hit 65.76 million years ago
    This might be of interest.

    https://boards.straightdope.com/sdmb/showthread.php?t=873236

    Not your ornery onager



  • Registered Users, Registered Users 2 Posts: 10,558 ✭✭✭✭Fourier


    Esel wrote: »
    Wow! Can't wait to hear more about this. Actual victims of the impact.


  • Registered Users, Registered Users 2 Posts: 7,721 ✭✭✭StupidLikeAFox


    The asteroid that wiped out the dinos hit 65.76 million years ago

    65.76 million years ago today? I must light a candle for them


  • Registered Users, Registered Users 2 Posts: 3,786 ✭✭✭KathleenGrant


    65.76 million years ago today? I must light a candle for them

    :D:D:D:D


  • Closed Accounts Posts: 5,995 ✭✭✭Ipso


    The asteroid that wiped out the dinos hit 65.76 million years ago

    False flag.


  • Posts: 0 [Deleted User]


    Marbles are not made of marble, they're made of glass.


  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight


    65.76 million years ago today? I must light a candle for them
    We will have a better idea when there's more evidence. Plant growth rings and other seasonal changes should tell us what time of year it happened.

    BTW the Ice age ended on July 19th 11,722 years ago, probably about three-ish in the afternoon since that's the warmest time of the day.



    They weren't using Daylight Savings Time back then so it's only an approximation.


  • Registered Users, Registered Users 2 Posts: 13,810 ✭✭✭✭joujoujou
    Unregistered Users


    Marbles are not made of marble, they're made of glass.
    Some are made of rubber, especially on a race track. ;)


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  • Closed Accounts Posts: 32,688 ✭✭✭✭ytpe2r5bxkn0c1


    Marbles are not made of marble, they're made of glass.

    They were originally made from polished marble though. Modern marbles are glass but began as marble, other stones, and clay.


  • Registered Users, Registered Users 2 Posts: 17,819 ✭✭✭✭peasant



    It looks big, even from that point which is about 1.5km away. And it IS big.


    Huge, in fact.

    bloody heck...it is huge :eek:

    for reference...bottom left is terminal 2 of Dublin airport...top right is the distribution centre

    476708.JPG


  • Registered Users, Registered Users 2 Posts: 8,630 ✭✭✭Gloomtastic!


    Anyone here called Fionn or called their son Fionn? Avoid going to France or else change names. It translates to anus! :rolleyes: :D


  • Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,530 Mod ✭✭✭✭Capt'n Midnight


    Anyone here called Fionn or called their son Fionn? Avoid going to France or else change names. It translates to anus! :rolleyes: :D

    Finn McCool would be Bottom McBottom :eek:


  • Registered Users, Registered Users 2 Posts: 3,687 ✭✭✭Signore Fancy Pants


    David Jason has an 18 year old daughter.

    He was 61 when she was born...dirty old git!


  • Moderators, Arts Moderators, Recreation & Hobbies Moderators, Social & Fun Moderators Posts: 77,028 Mod ✭✭✭✭New Home


    David Jason has an 18 year old daughter.

    He was 61 when she was born...dirty old git!

    And Rowan Atkinson, now aged 64, has a 2-year-old child.

    Also, in March 2001, while he was on a holiday trip to Kenya, the pilot of his private plane fainted. Atkinson managed to maintain the plane in the air until the pilot recovered and was able to land the plane at Nairobi's Wilson Airport.


  • Closed Accounts Posts: 369 ✭✭Ineedaname


    David Jason has an 18 year old daughter.

    He was 61 when she was born...dirty old git!

    Mick Jagger has a daughter younger than his great-grandchild.


  • Registered Users, Registered Users 2 Posts: 10,305 ✭✭✭✭branie2


    Mel Blanc, the voice of Bugs Bunny, was allergic to carrots


  • Registered Users, Registered Users 2 Posts: 4,097 ✭✭✭johndaman66


    New Home wrote: »
    And Rowan Atkinson, now aged 67, has a 2-year-old child.


    I feel I have to correct you on that one, he's 64tongue.png


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  • Registered Users Posts: 1,849 ✭✭✭764dak


    You can use emojis on a Windows 8 or 10 PC by pressing Win+. or Win+; ��.


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