Excellent video! How would one go from the "branch covering" function f(z)=(z^2+1)^2/(4z(z^2-1)) to the 4-fold covering of the "library" graph? Or, even better, how to construct such a function from what we want? (Maybe one answer would be to learn Riemann Surface from Donaldson?)
Of course, there *were* multiple copies of each of you. You had to do some masking out of duplicates. (I noted that as Tom walked around the bookcase, Henry stepped back so each was easier to mask out in the "separate" areas where they weren't supposed to be.) Good Job! 😁
why did you choose to limit your remap values with a zig-zag function for a spherical 360? limiting by looping would work just as well for a seamless projection right? (1.2 limited by zig zag = 0.8, limited by loop it would = 0.2) I'm a visual artist for live music and I love using this method with 360 projections, normally sticking to equirectangular projection but i have created a program that does all these complex functions too.
Dear Mr.Tom, What topic in mathematics would be worth engaging in research, I am a student, specifically a 2nd year undergrad, and I am really determined to research on some intuitive and interesting topics. But I am relatively new to the research side of things and am really confused as to what to do research on and what mathematical research actually means. It would be an immense help and boost to my journey as a well-rounded student. With best regards, Dear Sir.
I've tried to create f(x) projection map but I'm getting completely different results. I've double checked all the i's multiply & divide out right, I've checked order of operations but I'm getting something completely different. far more complex then the library. can I bother you for a few minutes to try and get the same result for f(x) please? I've messaged you on FB and I'll share my real time complex operators with you?
Watch me and Henry explore the multidimensional library here: th-cam.com/video/f8C8hlAmdVc/w-d-xo.html
Excellent video! How would one go from the "branch covering" function f(z)=(z^2+1)^2/(4z(z^2-1)) to the 4-fold covering of the "library" graph? Or, even better, how to construct such a function from what we want? (Maybe one answer would be to learn Riemann Surface from Donaldson?)
Of course, there *were* multiple copies of each of you. You had to do some masking out of duplicates. (I noted that as Tom walked around the bookcase, Henry stepped back so each was easier to mask out in the "separate" areas where they weren't supposed to be.) Good Job! 😁
Yep, all planned!
Now, on to the universal cover!
Visualizing multiple dimensions in an XY pixel plane image is kind of difficult, and you guys make it look easy. Congrats!
why did you choose to limit your remap values with a zig-zag function for a spherical 360? limiting by looping would work just as well for a seamless projection right? (1.2 limited by zig zag = 0.8, limited by loop it would = 0.2)
I'm a visual artist for live music and I love using this method with 360 projections, normally sticking to equirectangular projection but i have created a program that does all these complex functions too.
Dear Mr.Tom, What topic in mathematics would be worth engaging in research, I am a student, specifically a 2nd year undergrad, and I am really determined to research on some intuitive and interesting topics.
But I am relatively new to the research side of things and am really confused as to what to do research on and what mathematical research actually means. It would be an immense help and boost to my journey as a well-rounded student.
With best regards, Dear Sir.
I've tried to create f(x) projection map but I'm getting completely different results. I've double checked all the i's multiply & divide out right, I've checked order of operations but I'm getting something completely different. far more complex then the library. can I bother you for a few minutes to try and get the same result for f(x) please? I've messaged you on FB and I'll share my real time complex operators with you?
How applicable is getting a degree from Oxford/Cambridge
are there really no comments?
I guess not🫤
@@Very_Grumpy_Cat oh well…
still 0 comments
Damn thats weird
promo sm
four courners is hardly a multiverse