4 ms·

For 3D graphics, it makes rotation and translation simpler by adding another dimension. Maybe you had a less-than-stellar teacher for this topic. If so, here's

For 3D graphics, it makes rotation and translation simpler by adding another dimension. Maybe you had a less-than-stellar teacher for this topic. If so, here's a master lecturer elucidating it: https://youtu.be/mHVwd8gYLnI https://youtu.be/mHVwd8gYLnI https://en.wikipedia.org/wiki/Transformation_matrix#Examples_in_3D_computer_graphics https://en.wikipedia.org/wiki/Transformation_matrix#Examples...

klyrs 3y ago
To be fair, some of us learned about quaternions over finite fields before anything about 3D graphics. The first time I heard about this application of them, I was gobsmacked. Saying this because my professor for that course was quite excellent.
- hi-v-rocknroll 3y ago
  Nice! For undergrad, I was 2 courses shy of a math major || CS major, but then I saw neither was ABET accredited. Wat? Not to worry, because the CS & Eng major was accredited but required physics and chemistry for engineers series, interfacing, computer architecture, and a load and store (or was it compare and swap?) more electives approximating an EE major. It was really an EE/CS program but they couldn't call it that for historical and intercampus political reasons. I think most of the difference in mastery of a given topic in an academic setting comes down to the skill and interactivity with a competent and expert lecturer who also has expertise in the additional domains of public speaking and teaching. Ken Joy and Sean Davis were the virtuosos of teaching at UC Davis: massive and accessible brains. Intellectual curiosity and an semi-extroverted personality help too.
- lanstin 3y ago
  Or over the reals. I have studied quaternions a number of times but never studied 3d graphics. They are interesting algebraically as part of the sequence of divison algebras reals, complex numbers, quaternions, octonions, nothing. https://en.m.wikipedia.org/wiki/Hurwitz%27s_theorem_(composition_algebras) https://en.m.wikipedia.org/wiki/Hurwitz%27s_theorem_(composi...
deleted 3y ago
[deleted]
globalnode 3y ago
hurts me how he keeps saying over and over that they were invented by someone named Heisenberg.
- webnrrd2k 3y ago
  For those who haven't encountered quaternions or their history, see https://en.m.wikipedia.org/wiki/History_of_quaternions https://en.m.wikipedia.org/wiki/History_of_quaternions.
  - hi-v-rocknroll 3y ago
    [flagged]
- hi-v-rocknroll 3y ago
  I'm thinking either word substitution or maybe an in joke about Breaking Bad because Ken Joy was hilariously funny. You know he meant Hamilton.

klyrs 3y ago

To be fair, some of us learned about quaternions over finite fields before anything about 3D graphics. The first time I heard about this application of them, I was gobsmacked. Saying this because my professor for that course was quite excellent.

hi-v-rocknroll 3y ago
Nice! For undergrad, I was 2 courses shy of a math major || CS major, but then I saw neither was ABET accredited. Wat? Not to worry, because the CS & Eng major was accredited but required physics and chemistry for engineers series, interfacing, computer architecture, and a load and store (or was it compare and swap?) more electives approximating an EE major. It was really an EE/CS program but they couldn't call it that for historical and intercampus political reasons. I think most of the difference in mastery of a given topic in an academic setting comes down to the skill and interactivity with a competent and expert lecturer who also has expertise in the additional domains of public speaking and teaching. Ken Joy and Sean Davis were the virtuosos of teaching at UC Davis: massive and accessible brains. Intellectual curiosity and an semi-extroverted personality help too.
lanstin 3y ago
Or over the reals. I have studied quaternions a number of times but never studied 3d graphics. They are interesting algebraically as part of the sequence of divison algebras reals, complex numbers, quaternions, octonions, nothing. https://en.m.wikipedia.org/wiki/Hurwitz%27s_theorem_(composition_algebras) https://en.m.wikipedia.org/wiki/Hurwitz%27s_theorem_(composi...

deleted 3y ago

[deleted]

globalnode 3y ago

hurts me how he keeps saying over and over that they were invented by someone named Heisenberg.

webnrrd2k 3y ago
For those who haven't encountered quaternions or their history, see https://en.m.wikipedia.org/wiki/History_of_quaternions https://en.m.wikipedia.org/wiki/History_of_quaternions.
- hi-v-rocknroll 3y ago
  [flagged]
hi-v-rocknroll 3y ago
I'm thinking either word substitution or maybe an in joke about Breaking Bad because Ken Joy was hilariously funny. You know he meant Hamilton.