![]() If you feel you were banned unjustly, or that the circumstances of your ban no longer apply, see our ban appeal process here.Ĭareer and Education Questions - every ThursdayĪ Compilation of Free, Online Math Resources. If you post or comment something breaking the rules, the content may be removed - repeated removal violations may escalate to a ban, but not without some kind of prior warning see here for our policy on warnings and bans. This subreddit is actively moderated to maintain the standards outlined above as such, posts and comments are often removed and redirected to a more appropriate location. Unnecessarily combative or unkind comments may result in an immediate ban. racism, sexism, homophobia, hate speech, etc.). This includes not only comments directed at users of /r/math, but at any person or group of people (e.g. ![]() If you upload an image or video, you must explain why it is relevant by posting a comment providing additional information that prompts discussion.ĭo not troll, insult, antagonize, or otherwise harass. Memes and similar content are not permitted. Image/Video posts should be on-topic and should promote discussion. If you are asking for advice on choosing classes or career prospects, please post in the stickied Career & Education Questions thread. Rule 4: No career or education related questions If you ask for help cheating, you will be banned. Do not ask or answer this type of question in /r/math. Homework problems, practice problems, and similar questions should be directed to /r/learnmath, /r/homeworkhelp or /r/cheatatmathhomework. This includes reference requests - also see our list of free online resources and recommended books. If you're asking for help learning/understanding something mathematical, post in the Quick Questions thread or /r/learnmath. Requests for calculation or estimation of real-world problems and values are best suited for the Quick Questions thread, /r/askmath or /r/theydidthemath. For example, if you think your question can be answered quickly, you should instead post it in the Quick Questions thread. ![]() Questions on /r/math should spark discussion. Rule 2: Questions should spark discussion Please avoid derailing such discussions into general political discussion, and report any comments that do so. In particular, any political discussion on /r/math should be directly related to mathematics - all threads and comments should be about concrete events and how they affect mathematics. Or, watch the videos.All posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics. Or buy a poster to hang in your home or office. Then, I put my polynomial equation into POV-Ray, to produce the nice pictures you see on this page.įeel free to download the pictures and use them as wallpapers or screensavers, etc, etc. I used this polynomial reducer to eliminate variables one by one, and maxima to factorise the results each step. I had help from computers to reduce them. The variables are W, X, Y, Z, x, y, z, p, and also sin(a), cos(a), sin(b), etc. The original system was really a system of 17 polynomial equations, in 14 variables. I converted the equations for W, X, Y, and Z to a single polynomial equation in x, y, z and p. You can describe points in these planes with 3 coordinates x,y,z. ![]() These "planes" are really 3D spaces inside the 4D space. I sliced it along "planes" with equations X+Y+Z+W = p. I made them into posters and movies, for you to enjoy. To get the pictures on this page, I took lots of slices of a 4D torus. But if you slice the 4D shape, you get a 3D slice. You can't build a model of a 4D torus in 3D space, any more than you can build a 3D shape inside a thin plane. The skins of 3D things are 2D things.Ī four-dimensional torus has a skin which is a circle times a circle times a circle. In topology, you'd say its a circle times a circle. The 'skin' of a torus can be made by spinning a circle around an axis outside the circle. ![]()
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