4 ms·

I don't know if he mentioned, the name doesn't show up in the transcript, it but this seems to be very close to an unrolled Curta, the main difference being tha

by rtkwe 2y ago

I don't know if he mentioned, the name doesn't show up in the transcript, it but this seems to be very close to an unrolled Curta, the main difference being that it doesn't use 9s complement for subtraction so it has a more complex bidirectional carry mechanism. Otherwise the function is very similar down to shifting the turns and output accumulator to multiply the entry number. The big drum he makes many of is just one in the Curta that actuates every output dial through a full rotation. 9s complement makes subtraction extremely satisfying on the Curta because it causes a carry on (almost) every single output and turn accumulator dial.

matt-attack 2y ago
Yep. The whole time I kept thinking, “oh so that’s why I have to that to the curta” or “oh so now I get what’s happening in my curta!”
WilliamG52 2y ago
Hi, I made the calculator and this video. As I discuss throughout and particularly towards the end of the video, my design is based on Thomas de Colmar's Arithmometer (~1820-1860) and Leibniz's Stepped Reckoner (late 1600s), both of which predate the Curta (1930s). Or rather, the Curta is a super cool and elegant refinement of those (and other) designs. I think it is more accurate to say the Curta is like a rolled up version of those (and my) calculator. The "big drum" you mention is sometimes called a Leibniz Wheel, though this naming convention is misleading in some ways: http://journals.cambridge.org/abstract_S0007087414000429 http://journals.cambridge.org/abstract_S0007087414000429. As that article argues (though I disagree with some points), the history of calculating machines is more nuanced than a linear progress narrative suggests. So, I tried to keep my narrative a little tighter and not go much into the calculators of the late 19th century and the designs in the 20th century like the Curta. Also, the Curta's (awesome!) story has been told many times, so I did not feel the need to go into it. Sorry to go on this long, but I think this history is fascinating and how we tell it speaks to how we understand how technology changes through time.
- gregschlom 2y ago
  Just wanted to say, fantastic work and video. I really enjoyed watching it.
- glth 2y ago
  Great video! Very instructive.
- mjd 2y ago
  Your machine, and the video, are astounding. The complexity and precision of your design, and the clarity of the explanation were all marvelous. Thanks so much for bringing this to us.
- MrMcCall 2y ago
  I just want to say that this is one of my favorite YT videos of all-time. Content, presentation, project, execution, pace, music : all perfect. That is NO exaggeration. You have made my day better, young man. Well done, young sir! Thank you for your hard, difficult work, and sharing it with us. ETA: And you got a lol from me at the end!
  - WilliamG52 2y ago
    Thank you all for the kind words! I appreciate all the wonderful comments and support from people - It is so encouraging and makes me very gratified.
Animats 2y ago
The carry propagation hardware is the hardest to make work right. The low-digit add has to power the entire chain of carries. As the number of digits increases, it gets harder to do that, because so much mechanism has to be pushed. There are carry mechanisms which use an external power source for carry propagation. Babbage's Difference Engine has one.[1] All the pending carry values are stored in a latch for each number wheel. Then a cam system applies the carries one at a time. This scales to large numbers of wheels. [1] https://youtu.be/vdra5Ms__9s?t=247 https://youtu.be/vdra5Ms__9s?t=247
- rtkwe 2y ago
  You can definitely feel it when doing subtraction on a Curta, there's significantly more drag involved in it both because you're generally adding a larger number so more teeth interact but also the wave of the carries going around. However the low digit doesn't have to power all the carries though on a Curta because all the carry does it shift a gear up that then interacts with a single tooth (or 9 during subtraction) on the drum that performs the carry for the next digit up. There's a whole page of Curta info [0] and a 3d simulator [1] where you can see how similar the setup is and some of the ingenious tricks to fit all of the functions of this machine into a little larger than a grenade sized package. [0] https://www.vcalc.net/cu.htm https://www.vcalc.net/cu.htm [1] https://www.satadorus.eu/x_ite/yacs_2_0/yacs_2_0.html https://www.satadorus.eu/x_ite/yacs_2_0/yacs_2_0.html
  - Animats 2y ago
    Yes, as the number of wheels scales up, powered carry becomes necessary. Another mechanism that's been used is sort of analog - differential gears, with two inputs and one output. Race track totalizators used that to add multiple unsynchronized inputs. Here's one from Adelade.[1] The machines were huge and heavy, but reliable. (It is a tradition and a contract term in the gambling industry that gambling equipment companies are strictly liable for errors. As a result, that industry builds unusually reliable equipment. GTech once mentioned in an annual report that they paid out about 3% of revenue in error payments.) [1] https://www.cs.auckland.ac.nz/historydisplays/SecondFloor/Totalisators/LargeMachines/Images/RiccartonTwoShaftAdder.jpg https://www.cs.auckland.ac.nz/historydisplays/SecondFloor/To...

by rtkwe 2y ago

matt-attack 2y ago

Yep. The whole time I kept thinking, “oh so that’s why I have to that to the curta” or “oh so now I get what’s happening in my curta!”

WilliamG52 2y ago

Hi, I made the calculator and this video. As I discuss throughout and particularly towards the end of the video, my design is based on Thomas de Colmar's Arithmometer (~1820-1860) and Leibniz's Stepped Reckoner (late 1600s), both of which predate the Curta (1930s). Or rather, the Curta is a super cool and elegant refinement of those (and other) designs. I think it is more accurate to say the Curta is like a rolled up version of those (and my) calculator. The "big drum" you mention is sometimes called a Leibniz Wheel, though this naming convention is misleading in some ways: http://journals.cambridge.org/abstract_S0007087414000429 http://journals.cambridge.org/abstract_S0007087414000429. As that article argues (though I disagree with some points), the history of calculating machines is more nuanced than a linear progress narrative suggests. So, I tried to keep my narrative a little tighter and not go much into the calculators of the late 19th century and the designs in the 20th century like the Curta. Also, the Curta's (awesome!) story has been told many times, so I did not feel the need to go into it. Sorry to go on this long, but I think this history is fascinating and how we tell it speaks to how we understand how technology changes through time.

gregschlom 2y ago
Just wanted to say, fantastic work and video. I really enjoyed watching it.
glth 2y ago
Great video! Very instructive.
mjd 2y ago
Your machine, and the video, are astounding. The complexity and precision of your design, and the clarity of the explanation were all marvelous. Thanks so much for bringing this to us.
MrMcCall 2y ago
I just want to say that this is one of my favorite YT videos of all-time. Content, presentation, project, execution, pace, music : all perfect. That is NO exaggeration. You have made my day better, young man. Well done, young sir! Thank you for your hard, difficult work, and sharing it with us. ETA: And you got a lol from me at the end!
- WilliamG52 2y ago
  Thank you all for the kind words! I appreciate all the wonderful comments and support from people - It is so encouraging and makes me very gratified.

Animats 2y ago

The carry propagation hardware is the hardest to make work right. The low-digit add has to power the entire chain of carries. As the number of digits increases, it gets harder to do that, because so much mechanism has to be pushed. There are carry mechanisms which use an external power source for carry propagation. Babbage's Difference Engine has one.[1] All the pending carry values are stored in a latch for each number wheel. Then a cam system applies the carries one at a time. This scales to large numbers of wheels. [1] https://youtu.be/vdra5Ms__9s?t=247 https://youtu.be/vdra5Ms__9s?t=247

rtkwe 2y ago
You can definitely feel it when doing subtraction on a Curta, there's significantly more drag involved in it both because you're generally adding a larger number so more teeth interact but also the wave of the carries going around. However the low digit doesn't have to power all the carries though on a Curta because all the carry does it shift a gear up that then interacts with a single tooth (or 9 during subtraction) on the drum that performs the carry for the next digit up. There's a whole page of Curta info [0] and a 3d simulator [1] where you can see how similar the setup is and some of the ingenious tricks to fit all of the functions of this machine into a little larger than a grenade sized package. [0] https://www.vcalc.net/cu.htm https://www.vcalc.net/cu.htm [1] https://www.satadorus.eu/x_ite/yacs_2_0/yacs_2_0.html https://www.satadorus.eu/x_ite/yacs_2_0/yacs_2_0.html
- Animats 2y ago
  Yes, as the number of wheels scales up, powered carry becomes necessary. Another mechanism that's been used is sort of analog - differential gears, with two inputs and one output. Race track totalizators used that to add multiple unsynchronized inputs. Here's one from Adelade.[1] The machines were huge and heavy, but reliable. (It is a tradition and a contract term in the gambling industry that gambling equipment companies are strictly liable for errors. As a result, that industry builds unusually reliable equipment. GTech once mentioned in an annual report that they paid out about 3% of revenue in error payments.) [1] https://www.cs.auckland.ac.nz/historydisplays/SecondFloor/Totalisators/LargeMachines/Images/RiccartonTwoShaftAdder.jpg https://www.cs.auckland.ac.nz/historydisplays/SecondFloor/To...