Recent content by tejolson

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    Undergrad Is Your Understanding of Wonky Science Leading You Astray?

    I think I received some wonky science, I need you folks to correct me. I'm going to try very hard to make this work. In fact I'm going to try so hard that I'm going to make up science as I go. I'll let you smart people figure out where I went wrong. So the basic idea is a 60' pipe going at an...
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    Undergrad How can a Lissajous Curve be represented in 3D?

    Yup, I'm right. Apparently there was an experiment done a long long time ago. A professor told me the 3d version of the x,z or y,z plane is itself a Lissajous figure. So that makes those figures above correct. Unfortunately this means this stuff is already known. And since it's already known...
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    Undergrad How can a Lissajous Curve be represented in 3D?

    You're talking about a math function, I'm talking about something real. It is made with light. Some guy used two mirrors to make it. It's in 2d because it was viewed in 2d as it reflected off the wall. As I understand it there is a way to slow down light in a vacuum. Maybe I can see a 3d...
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    Undergrad How can a Lissajous Curve be represented in 3D?

    I'm trying to figure out how to do a Lissajous Curve in 3d. It has a 2d shape in the real world, so if it's in the real world, then there must be a 3d shape to it. Here is the crazy version, it has 8 variants of the last pic layered and it's at 45 45 0 This is the one above and it is at...
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    Graduate What strange pattern emerges from the Pell Numbers?

    So I did a goolge search for "pell number." Then I seen this on the sixth search. I thought, what kind of idiot would call their thread "Pell Number Craziness." Sure enough it was me. What do you think of this? If you split the Pell Number into odd and even sets and remove the even you'll...
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    Graduate What strange pattern emerges from the Pell Numbers?

    I guess I'll get told if it's not allowed. So my current mission is a set of leg/hyp twin pythagorean triangles that hit 0 degrees without the use of angles (no pi). I'm using a 3 4 5 triangle right now because it is the easiest. A really good candidate is the 177th triangle. After...
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    Graduate What strange pattern emerges from the Pell Numbers?

    Actually, the binomial thing had occurred to me. I don't know the details about binomial expansion but I thought it involved triangular numbers. Now that I'm looking at it more closely, I'm seeing it all. I have a bag full of tricks. I would appreciate it if you all dismantled them as well. Can...
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    Graduate What strange pattern emerges from the Pell Numbers?

    Is this of interest to the mathematics community? ((sqrt(2*x^2-1))^4+(sqrt(2*x^2-1))^2*2+1)/(x^4*4)=1 ((sqrt(2*x^2-1))^6+(sqrt(2*x^2-1))^4*3+(sqrt(2*x^2-1))^2*3+1)/(x^6*8)=1 This is just a warped Pell Number. But it turns out it is true for all numbers, not just Pell Numbers. I don't...