@coolboymew@hidden A couple hundred dollars is a small price to pay to know, for sure, that you are intelligent, mathematically and verbally fluent, on track for a good career, more competent than your peers, have a great personality, a great work ethic, are a valued and well-liked member of every team, and are Carl Gustav Jung.
@hidden@coolboymew I was actually impressed at question 7, "Which figure fits the given object, in order to make a cube?" I used to be really into shit like this. I attach some pages for amusement:
@ai@hidden@coolboymew This reminds me of my uni entrance exams. It was full of this shit. I did pretty well at the time, cause i prepared a lot for it.
On the other hand, this is a retarded choice for a uni exam topic. IQ in general is pretty silly for uni admissions because succeeding in uni requires a lot of crystallized knowledge too. Like, why wouldn't they just test your normal math skills, algebra, geometry, calculus, whatever?
Edited to add: in the US, the SAT and AP standardized tests all have just normal math questions, I think.
@ai@coolboymew@hidden They had a point in doing it, though. Spatial and abstract reasoning is very useful for things like chemistry and thermodynamics. At the very least, i found it very useful.
@ai@cinerion@hidden I can't piece it together with the "along equilateral triangle faces" due to being ESL, what does that even mean in this context? Does it means the tetrahedrons are equilateral triangles?
A Square is 6 faces, it loses one due to having the pyramid glued on, so 5. A Tetrahedron is 3 main faces for a total of 4? It loses one due to being glued, so 3 3+5 = 8? Or have I fucked something
@hidden@coolboymew Here's a memory I have from first grade (roughly?). They had these little cubes in a classroom, maybe half the size of a normal dice. I thought "cubicle" meant "small cube" so I told this girl, "look, cubicles!" and then I held one in my mouth and pretended like I was gonna eat it. She got grossed out, but I thought she was impressed, so I continued to do it a few times. Eventually she got the teacher to come and tell me to stop eating the teaching materials.
@ai@coolboymew@hidden Indeed, here you are tied to the thing you chose when you started, unless you want to go through a very troublesome bureaucratic process, that also has a high chance of being denied. Also consider kids choose this while they are 15/16.
Excellent system. I got no complaints at all. None.
@cinerion@coolboymew@hidden That is ... a very good point. And I just remembered that, in most countries, when you apply to uni you are applying for a specific major / specialty, so that makes even more sense
@ai@coolboymew In first grade I said testicles in class and I didn't know what testicles were. I thought they were an organ in your stomach. Anyway the teacher god really mad and yelled at me 😭
@coolboymew@cinerion@hidden I just said that to clarify that you're gluing the shapes together along the triangle surfaces, not doing something weird like gluing a triangle onto a square.
You basically did what the SAT test writers did (which contains a mistake).
But there's also a language issue: a "square pyramid" looks like the pic, I think you interpreted it as a "cube". So you'd do 3 + 4 = 7.
@coolboymew@cinerion@hidden Yeah. The trick (which the test writers themselves didn't realize) is that some of these faces actually merge into one (they are parallel, not at an angle). So there are actually only 5 faces in the solid:
@ai@cinerion@hidden right, this is what I was thinking was weird and I was not seeing it correctly
The wrong way to see it is to glue it to the other triangle's square base, but it doesn't fit nicely and your words actually did it to glue it to a face, so indeed, with such a triangle it would fuse some faces together, but it would "work", if glued to the square other than the fact that where would be leftover space
@ai@hidden@coolboymew This reminds me of the time i told my teacher that i had already covered the class topics by myself, if he could just test me so that i didn't have to go to his class (i was doing club activities, so i even had an excuse). The topics covered only up to derivatives and their uses, but the asshole included integrals to trip me. Teachers do be like that :yuishrug:
The trick is that, in the glued solid, some of the (outer) triangles are parallel to each other, not at an angle. So you wouldn't say that those two triangles form two distinct faces, you'd say that it forms one face (a rhombus).
This pic shows it a bit more clearly. There are distinct triangular faces, but they "lie flat" so they are only one big face. At least, that's how a book would define "a face of a solid."
You glue one of the tetrahedron's faces to one of the square pyramid's triangular faces. This gets rid of two of the faces...Unless we're being tricky and saying that the face is still there, even if hidden, in which case the answer is 8. Is that the trick?
@victor@cinerion@hidden@coolboymew it's ok, I failed this question the first time I saw it, too (in some book, which is where I learned the story). I guess all of America failed it, in a sense
@ai@victor@cinerion@coolboymew OK LISTEN, I THGOUGHT THERE WAS NO WAY THE ANSWER AI IS TOUTING IS CORRECT SO I GOT OUT PAPER AND DUCT TAPE AND TAPED A PYRAMID AND A TETRAHEDRON TOGETHER AND THERES STILL NO WAY THE ANSWER IS WHAT YOU ARE CLAIMING IT IS. THIS IS A CLEAR MISUNDERSTANDING OF TRIANGLES. THERE IS A CLEAR ANGlE WHERE THE SUPPOSED PARALLEL FACES MEET BECAUSE THE FACES OF THE TETRAHEDRON ARE ANGLING TOWARDS THE POINT OF THE TETRAHEDRON WHILE THE FACES OF THE PYRAMID ARE NOT
@ai@hidden@coolboymew I really liked the visual proof of the volume of a pyramid being 1/3 of the cube when I was smaller. I kept rotating it in my head for the next few days
@cinerion@coolboymew@hidden Many such cases! (Well, teaching skill is rare. But, all of the best teachers I know, don't want to go into teaching. The more experience they have with the school system, the more their initial passion turns to disgust. I guess, from their example, I see firsthand why the education system continues to suck as badly as it does.) And, I'm an alright teacher, but I would never teach pre-uni because of the culture and the rules
@ai@coolboymew@hidden Oh, yeah. I wouldn't go to the pre uni school system. I know how shitty things are there, for students and teachers alike, disregarding the teaching skill issues.
But i considered giving private lessons at some point. People in my hometown are very willing to pay for all of these. Specially english, but i wouldn't shy away from the stem classes either. Gotta make this degree useful somehow.
And, fun fact, the arrangement of points in this tiling is what you get when you dump fruit into a pile (see pic). See "sphere packing" or "kepler conjecture" - this is one of the famous examples of a proof in math that can only be done by computer.