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Cake day: February 1st, 2024

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  • qjkxbmwvz@startrek.websitetoScience Memes@mander.xyzCoffee ☕
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    1 month ago

    You can/could also find Coffee HOWTO in your distro’s HOWTO package. (I found a reference back to v0.5 of the document in 1998.)

    Has simple schematics to get you started for the hardware, using the parallel port to toggle relays.

    It’s a very neat little document, and inspired me to write a simple kernel module so I could echo 1 | sudo tee /sys/whatever/coffee0 to turn pin 0 high on the parallel port. (This is silly, and it’s much easier to just do things in user space!)















  • That’s exactly my point, there are two different colloquial ways of talking about angles. I am not claiming there is a mathematical inconsistency.

    Colloquially, a “triangle has 180 degrees” and a “circle has 360 degrees.” Maybe that’s different in different education systems, but certainly in the US that’s how things are taught at the introductory level.

    The sum of internal angles for a regular polygon with n sides is (n-2pi. In the limit of n going to infinity, a regular polygon is a circle. From above it’s clear that the sum of the internal angles also goes to infinity (wheres for n=3 it’s pi radians, as expected for a triangle).

    There is no mystery here, I am just complaining about sloppy colloquial language that, in my opinion, doesn’t foster good geometric intuition, especially as one is learning geometry.


  • I don’t think we’re talking about the same thing.

    If you take a circle to be the limit of a polygon as the number of sides goes to infinity, then you have infinite interior angles, with each angle approaching 180deg, as the edges become infinitely short and approach being parallel. The sum of the angles is infinite in this case.

    If you reduce this to three sides instead of infinite, then you get a triangle with a sum of interior angles of 180deg which we know and love.

    On the other hand, any closed shape (Euclidean, blah blah), from the inside, is 360deg basically by definition.

    It’s just a different meaning of angle.

    See, for example, the internal angle sum, which is unbounded: https://en.wikipedia.org/wiki/Regular_polygon


  • Triangle, “has 180 degrees,” subtends 360 degrees.

    Circle, “has 360 degrees,” the sum of the interior angles is infinite.

    (I’m not actually confused, it’s just that “a circle has 360 degrees” and “a triangle has 180 degrees” is a little annoying in that they use different definitions.)