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Old 08-05-2013, 07:38 PM   #1
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Default Ohms Pyramid

Hi, first I'd like to start with a little about myself, I come to this field with a background in 3D graphics and computer code. I was doing some pre-class studying, when I came across ohms wheel. Now, I'm not about to say I've reinvented the wheel, but I found it rather disorganized. I saw a lot of different pictures, it seemed no one could really agree on where to place which values, or even what letters to use. I mean some use watts or W while others use P... The most common, or closest to a standard form is PEIR. I liked it because it places the "opposite" values in opposite corners. I know watts isn't opposite ohms anymore than volts is opposite amps, yet, well, mathematically they sort of are. So I will be calling things opposite that aren't quite opposite, just like I will be calling my circle more symmetrical. A thing is either symmetric or not, yet mine is more symmetric...
Look...



So yeah, the first two pics in that little row of circles I found online. The first has (W)atts instead of P, and it's next to it's opposite, (R)esistance. Wrong.
The second is closer, it has all the quadrants correct except it's still a little disorganized. When I first saw this, Friday, I had a real hard time getting these formulas to stick in my memory. I noticed patterns, yet they weren't lining up correctly. It wasn't quite right. So I made my own.

The third pic, is mine. I color coded the formula sections so that each pair of values was assigned it's unique colour. The patterns were beginning to form. Next I moved some of the equations around. Methodically. I arranged the equations so that the wedges were in the "proper" order, more symmetrical.



^ My colour coded ohms wheel



Now this is a bit more of a leap. From the newly color coded wheel one can see how the opposite edges are similar to each other. A little geometrical trimming and bending and we have what I've named, Ohms Pyramid.

I've attached a zip file here. It has a .blend inside it, for anyone who is familiar with Blender 3D computer graphics you can download the blend and view a 3D Ohms Pyramid on your pc. Otherwise you can print the pyramid picture and fold your own 3D Ohms Pyramid. Mine is drying, I'll be sure to post a pic of the real thing soon.
Attached Thumbnails
Ohms Pyramid-ohms-pyramid.png  

Ohms Pyramid-ohms-wheel-colour-coded.png  

Ohms Pyramid-ohms-circle-subtle-changes.jpg  

Attached Files
File Type: zip Ohms Pyramid.zip (76.1 KB, 9 views)
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Old 08-05-2013, 08:26 PM   #2
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I saw a lot of different pictures, it seemed no one could really agree on where to place which values, or even what letters to use. I mean some use watts or W while others use P... The most common, or closest to a standard form is PEIR.
I must be getting too old for this, I find the wheel simple and easy to follow, it does not matter where the center I, E, P, R goes as long as the math works.
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Old 08-05-2013, 08:54 PM   #3
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Thanx for taking the time to do & post all that. I think it might be helpful to use the color wheel for n00bs. The 3D pyramid would get crushed in my wallet. I'll put one together & see if it's any easier to understand & use in the classroom. I can't give it a "like" so I'll give you a "thanks". So now electricity isn't all math, it's colors too.
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Old 08-05-2013, 08:57 PM   #4
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You don't need any of that crap


E P
I R I E

That is all you need!
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Old 08-05-2013, 09:03 PM   #5
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Originally Posted by Rochsolid View Post
You don't need any of that crap


E P
I R I E

That is all you need!
and if you know the math you can do all the other portions of the wheel from this.
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Old 08-05-2013, 09:05 PM   #6
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You don't need any of that crap


E P
I R I E

That is all you need!
I see where you're going there, but how does that help you know which formula gets the square root, and which gets squared?

Either way, me drawing all this s*#t has engraved the formulas in my head.
Here's the pictures.
Attached Thumbnails
Ohms Pyramid-img_2986.jpg  

Ohms Pyramid-img_2987.jpg  

Ohms Pyramid-img_2989.jpg  

Ohms Pyramid-img_2990.jpg  

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Old 08-05-2013, 09:19 PM   #7
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Thanx for taking the time to do & post all that....

So now electricity isn't all math, it's colors too.
You're welcome, and you'd be surprised how much math is in colours.
https://en.wikipedia.org/wiki/HSL_and_HSV
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Old 08-05-2013, 10:03 PM   #8
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Originally Posted by DMcP

I see where you're going there, but how does that help you know which formula gets the square root, and which gets squared?

Either way, me drawing all this s*#t has engraved the formulas in my head.
Here's the pictures.
It's easier to learn the math and how to transpose the formulas then trying to memorize this weird 3D triangle you've got going on. Just my opinion, but if it works for you then good on tou
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Old 08-05-2013, 10:09 PM   #9
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Originally Posted by Rochsolid View Post
It's easier to learn the math and how to transpose the formulas then trying to memorize this weird 3D triangle you've got going on. Just my opinion, but if it works for you then good on tou
If you know how to transpose all the portions of the wheel you do not need anything but a pencil and a piece of cardboard to amaze your fellow electricians.
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Old 08-05-2013, 11:15 PM   #10
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It's easier to learn the math and how to transpose the formulas then trying to memorize this weird 3D triangle you've got going on. Just my opinion, but if it works for you then good on tou
I don't intend for this to be memorized, print off the sheet and fold it, or better yet get a 3D printer and print the 3D file It is more for teaching the relationship between formulas, how to transpose the portions will become quickly apparent when some one new picks up this pyramid for the first time.

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Originally Posted by brian john View Post
If you know how to transpose all the portions of the wheel you do not need anything but a pencil and a piece of cardboard to amaze your fellow electricians.
Exactly, this isn't for those who know how to transpose all the portions of the wheel. This is a tool / toy for someone new to the subject. I gave the first one to my 8 year old.
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Old 08-05-2013, 11:24 PM   #11
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Originally Posted by DMcP
Hi, first I'd like to start with a little about myself, I come to this field with a background in 3D graphics and computer code. I was doing some pre-class studying, when I came across ohms wheel. Now, I'm not about to say I've reinvented the wheel, but I found it rather disorganized. I saw a lot of different pictures, it seemed no one could really agree on where to place which values, or even what letters to use. I mean some use watts or W while others use P... The most common, or closest to a standard form is PEIR. I liked it because it places the "opposite" values in opposite corners. I know watts isn't opposite ohms anymore than volts is opposite amps, yet, well, mathematically they sort of are. So I will be calling things opposite that aren't quite opposite, just like I will be calling my circle more symmetrical. A thing is either symmetric or not, yet mine is more symmetric...
Look...

So yeah, the first two pics in that little row of circles I found online. The first has (W)atts instead of P, and it's next to it's opposite, (R)esistance. Wrong.
The second is closer, it has all the quadrants correct except it's still a little disorganized. When I first saw this, Friday, I had a real hard time getting these formulas to stick in my memory. I noticed patterns, yet they weren't lining up correctly. It wasn't quite right. So I made my own.

The third pic, is mine. I color coded the formula sections so that each pair of values was assigned it's unique colour. The patterns were beginning to form. Next I moved some of the equations around. Methodically. I arranged the equations so that the wedges were in the "proper" order, more symmetrical.

^ My colour coded ohms wheel

Now this is a bit more of a leap. From the newly color coded wheel one can see how the opposite edges are similar to each other. A little geometrical trimming and bending and we have what I've named, Ohms Pyramid.

I've attached a zip file here. It has a .blend inside it, for anyone who is familiar with Blender 3D computer graphics you can download the blend and view a 3D Ohms Pyramid on your pc. Otherwise you can print the pyramid picture and fold your own 3D Ohms Pyramid. Mine is drying, I'll be sure to post a pic of the real thing soon.
Did you also remove all the stickers on a Rubics cube as a child?

Keep it simple.
Or better yet, learn how to make a right triangle with a folding ruler.
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Old 08-05-2013, 11:25 PM   #12
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Originally Posted by Rochsolid
You don't need any of that crap

E P
I R I E

That is all you need!
^^^^^^^
x2
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