I don't understand why they don't teach this today at my university without using animations like these to help us visualize 3D shapes mentally. We have the technology now...
I feel the same way. I made this because I couldn't find something similar. Most of your professors learned it from chalkboard drawings, so don't be too upset if they try to teach you the same way :)
Thank's a ton for the animation man, it really helped, like fr. My prof isn't the best, she runs through the material like she's tryna speedrun the class
θ is to reduce the aggregate of three-dimensional space to a surface, Φ is to reduce the aggregate of a surface to a line, which is the intersection of the surface and the cone, and ρ is to reduce a line to a point. The positioning of any point in space can be completed.
thank you SO MUCH for this video. It got me unstuck. I didn't realize that the vertical angle goes only from 0 to Pi, not to 2Pi, like angles usually would
This was very concise! Illustrated fantastici! All important key features in order to calculate the transmitted irradience by angular dependent. Using Yours - presented coordinates and the following spherical coordinate system I can specify a given direction for the zenith and azimuth angles thus the transmittance of this system is a function of direction of incident radiation. So valuable information also for the irradience from the sun, sky and for all hemispheric areas given by the independent of changes in the sun or sky radiance. Thank you because performing an integration of the transmitted irradience and calculating the total radiant flux in civil engineering we can see better geometry for example water, glass, polarized elements, i. c. Also we can imply two-dimensional Fourier transform of Cartesian coordinates if we understand better first important step that implys in all disciplines not only engineering approach! 👏👏👏👏
Thanks! Putting this (unfinished) video up was a little experiment to see if people would like this kind of video. Comments like yours motivate me to continue making them.
Great animation.Thanks. You have my subscription. I think greatly of all the pre computer graphics mathematicians who could see it all in their heads.Makes one wonder? In the long run are our brains going to be less or more capable of visualisation?
That's such an interesting question. I feel like we are adding to the number of people that can visualize a topic each time we express it in a new way. There's no shortage of difficult concepts to understand, so I suppose anyone can still exercise the skill as much as they want. I had a colleague suggest that some boys gain an advantage in spatial visualization over girls from jumping off of playground equipment and tracking movements of the ball in sports more often. I have no idea if nature or nurture is the main culprit, but I suspect it's a skill that can be strengthened.
theta is positive when it is measured counterclockwise rotation from x axis about z axis. I guess that might be the reason for it being in the range of π to 2π.
@@XYZandRGB i understand that, but if you consider anticlockwise it will go from pi to 3/2 pi and if you consider clockwise it will go from pi/2 to pi. i wonder if its correct both ways.
@@subhadip3679 The range of phi is defined as being from 0 to pi, so those are the only valid numbers for phi. Are you sure we're not talking about theta?
Changing the frame of reference from what I described here is a bit more advanced than what I can cover here, but I would assume we need all 3 axes to define a frame of reference.
"fie" or phi originates from the positive z-axis, and it travels in all directions. To use an analogy, 11:00 and 1:00 on the clock would have the same phi value of 1 hour
Cylindrical is a coordinate system very similar to spherical that uses (r, theta, and z) like you mentioned. r is measured in the same way as polar coordinates. Parametric is pretty different, and is usually used to define curves that travel along a 3D surface, rather than the solid itself. They can be used together to define a curve. For example: r = 1, theta = t and z = t will give you a curve that will spiral up along the surface of a cylinder.
![เปิดคำทำนาย นอสตราดามุส - บาบา วานก้า ปี 2025 คนทั่วโลกต้องเจออะไรบ้าง? | แฉ 11 ธ.ค. 67 [2/3] |GMM25](http://i.ytimg.com/vi/xmTIKWJUMPM/mqdefault.jpg)
I don't understand why they don't teach this today at my university without using animations like these to help us visualize 3D shapes mentally. We have the technology now...
I feel the same way. I made this because I couldn't find something similar. Most of your professors learned it from chalkboard drawings, so don't be too upset if they try to teach you the same way :)
@@XYZandRGBhow do you go about animating things like this ?
@@tommygstonymec I use Blender. I build all of the pieces you see in the video and vary their rotation and size and position using keyframes.
hmm
Maybe in the future generations they will use now animation or graphical representations using new technologies
A good teacher is one who can make complicated topics the most easiest ones. Thank you
Thank's a ton for the animation man, it really helped, like fr. My prof isn't the best, she runs through the material like she's tryna speedrun the class
θ is to reduce the aggregate of three-dimensional space to a surface, Φ is to reduce the aggregate of a surface to a line, which is the intersection of the surface and the cone, and ρ is to reduce a line to a point. The positioning of any point in space can be completed.
ty for everything, my friend saw your video and he say he gonna take 5 in the impossible test tomorow, god bless him and all the students
Thanks dude saved my brains from frying
This is gold for spherical coordinates. Thank you!
Animations help a LOT. This video made the concept crystal clear to me. Thank you!
Thank you very much, i have an exam in an hour and finally understand about all of this
Sending you all the best wishes, being able to explain difficult concepts easily is what marks a great educator. Thank you!
I'm from INDIA Your video helped me a lot to make my concept crystal clear ❤
I have never understood the spherical φ coordinate and how it only goes to π and not 2π until i watched this video, THANKS A LOT
This video made me understand why theta is only from 0 to π, thanks!
i have a re-exam and now phi is much more intuitive than the first time!! Thanks very very much for such a good explanation!!!!
this is marvelous effort to teach coordinates.
understood in a very easy way ...because you took lot of hard pain to do it. thanks a lot
Great video. Cleared all my doubts. Thank you so much for this! 😁
Thanks so much for making this video. Unique and super helpful visualization!
Thank you very much. It might have took some effort to make this video, I am grateful for this.
very helpful video! i have a calculus coming up and you have no idea how this saved me hahah thanks a bunch 😊
Good luck on your exam!
thank you SO MUCH for this video. It got me unstuck. I didn't realize that the vertical angle goes only from 0 to Pi, not to 2Pi, like angles usually would
This was very concise! Illustrated fantastici! All important key features in order to calculate the transmitted irradience by angular dependent. Using Yours - presented coordinates and the following spherical coordinate system I can specify a given direction for the zenith and azimuth angles thus the transmittance of this system is a function of direction of incident radiation. So valuable information also for the irradience from the sun, sky and for all hemispheric areas given by the independent of changes in the sun or sky radiance. Thank you because performing an integration of the transmitted irradience and calculating the total radiant flux in civil engineering we can see better geometry for example water, glass, polarized elements, i. c. Also we can imply two-dimensional Fourier transform of Cartesian coordinates if we understand better first important step that implys in all disciplines not only engineering approach! 👏👏👏👏
For the first time I understood this
Finally❤
*Great explanation Sir. Thanks, lots of love from India*
I actually appreciate your time, I had finally learnt.
thank you so much , had a seizure making sense out of this on my textbook , this video cleared alot , realy
Great video bro! I couldnt understand what phi is and now got it! Thank you!
dude you're the boss, thank you !!
Thank u so much Teacher Love from INDIA ❤
dude you're the best
Very informative and very well presented ,thank you
our professor is trying to teach this using a chalkboard its sooo frustrating,, thanku so much for posting this!
Short and simple but very helpful, thank you so much
Nice video. I would recommend including the bounds and other numbers you're talking about on screen next time.
Thanks! Putting this (unfinished) video up was a little experiment to see if people would like this kind of video. Comments like yours motivate me to continue making them.
saved my calc grade thank you🙏
Thanks so much for this video. It really clarified a few things for me.
Thank you very much for the graph & explanation
Great animation.Thanks. You have my subscription. I think greatly of all the pre computer graphics mathematicians who could see it all in their heads.Makes one wonder? In the long run are our brains going to be less or more capable of visualisation?
That's such an interesting question. I feel like we are adding to the number of people that can visualize a topic each time we express it in a new way. There's no shortage of difficult concepts to understand, so I suppose anyone can still exercise the skill as much as they want.
I had a colleague suggest that some boys gain an advantage in spatial visualization over girls from jumping off of playground equipment and tracking movements of the ball in sports more often. I have no idea if nature or nurture is the main culprit, but I suspect it's a skill that can be strengthened.
Thanks
this has been incredibly helpful, thank you!
thank you i've been trying forever to visualize phi
finally a good video regarding this !!! thank you !!!
Awesome explaination
a really nice representation thank you
did you mix up phi and theta? my notes and other videos show them the other way
It depends on which book you are using. There is no standard, but what I have in my video is what I've seen in Stewart calculus.
@@XYZandRGB its weird there is no standard. thanks
Can't theta be from π/2 to 3π/2 at 5:25 or it is same as π to 2π
theta is positive when it is measured counterclockwise rotation from x axis about z axis. I guess that might be the reason for it being in the range of π to 2π.
Remember that theta starts at the positive x-axis, just like polar coordinates. It's a little odd because it "looks" like it is starting on the left.
Very intuitve explanation. Thanks 💯
Great video, keep up the good work!!
Thank you so much! this made it so clear
thank u so much you helped me a lot🌷💖
AMAZING IT WAS.... ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
makes learning so interesting
5:50 can anyone explain why phi is not from pi to 3/2 pi
phi is measured from the top of the z axis. phi = 0 is the positive z-axis, and phi = pi is the negative z axis.
@@XYZandRGB i understand that, but if you consider anticlockwise it will go from pi to 3/2 pi and if you consider clockwise it will go from pi/2 to pi. i wonder if its correct both ways.
@@subhadip3679 The range of phi is defined as being from 0 to pi, so those are the only valid numbers for phi. Are you sure we're not talking about theta?
Thank you very much. 🙏
Thank you so much for sharing this video! It's very helpful!!
Nice explanation
Thank you very much 😍😍 !!
Please sir make more videos on multivariable calculus 😇
great video 🙌🏾👏🏾
Great explanation sir
This helped me understand the Qubit
wonderful
the lovely grease pencil :) I am also planning to use Blender to do math animations. It's gonna be fun. Subs.
I actually used this site. www.calligraphr.com/en/
but I will probably be using grease pencil for that in the future.
muchismas gracias por explicarlo todo bien! me ha ayudado mucho!
This was beautiful!! Thank you very much.
Thank you so much. You saved me
very good visuals
Great video
Thanks! This was extremely helpful :D
AMAZING VIDEO THANK YOU SO MUCH
5:24 why theta limits are from pi to 2pi
Could you pls explain
Theta starts at the positive x axis, and moves toward the positive y axis, so it has to travel halfway around and start at pi.
Keep the hard work up 👍
cleared my doubt professor
as in polar coordinate 2d we needed an initial line and pole for frame of reference , i wonder if we need all the three axes here?
Changing the frame of reference from what I described here is a bit more advanced than what I can cover here, but I would assume we need all 3 axes to define a frame of reference.
great animations, can I ask how they were created?
I made them using Blender, a free 3D software
Wow, this helped a lot. Thank you
great video sir ... helped a lot
Thank you very much sir !!!
LEGEND
Very good
Thanks!
thank you for this animation!!
Thank you! Also why did you change your audio of Phi out lol
I mistakenly said "theta" instead a few times. Audio editing is not my strong suit :)
Wow beautifuly explained
Is fie not clockwise?
"fie" or phi originates from the positive z-axis, and it travels in all directions. To use an analogy, 11:00 and 1:00 on the clock would have the same phi value of 1 hour
Thank you so much :)
which software are you using ?
I used Blender. It's totally free to use!
Thank you!! This was very informative
excellent👌👌
super helpful...thank u so much
I don't know why my prof is switching the properties of phi and theta, I'm so confused.
Thank you so much ❤
your lecturing system is good because of using 3D system
Thanks! Glad you found it helpful!
amazing. Thanks a lot.
awesome video!!
i got the visualization today
I need these animations! my prof's drawings are so hard to interpret
Thanks ☺️😍
thank you!
which software did you use to create animations?
I used Blender. It's free and getting better every version
Great video ! what is difference between Parametric and Cylindrical (r,theta,z)?
Cylindrical is a coordinate system very similar to spherical that uses (r, theta, and z) like you mentioned. r is measured in the same way as polar coordinates. Parametric is pretty different, and is usually used to define curves that travel along a 3D surface, rather than the solid itself. They can be used together to define a curve. For example:
r = 1, theta = t and z = t will give you a curve that will spiral up along the surface of a cylinder.
The best🔥🔥🔥🔥🔥🔥