Charles Link's latest activity
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Charles Link reacted to bob012345's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
Informative.
Apparently, this construction, the original square with semi-diagonals as @DaveC426913 drew in post #18, goes back thousands of years... -
Charles Link reacted to bob012345's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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Yes, I rounded it to fit the grids of the graph paper from 2.828 to 2.75 since the grids were quarter inch. Made the drawing a lot easier! -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.I believe you have it completely correct, (post 46). You didn't get the black marker right on top of the fine line in all cases, but... -
Charles Link reacted to bob012345's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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It looks off but I computed the coordinates and checked the edge lengths which are ##2-√2##. -
Charles Link reacted to DaveC426913's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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This, by the way, is the actual fold template for the origami diamond. You can see that the pseudo-diagonals are now bisections... -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.@bob012345 Yes, the octagon in the very center is what I was looking for. Excellent. :) That's what I think they were trying to do in... -
Charles Link reacted to bob012345's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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Finally, I think you meant this. -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.I need to learn to work the computer graphics package. :) If you follow my post 36 carefully, you will get a small regular octagon in... -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.@bob012345 Please see the additions to post 39. :) and yes, I'm referring to the diagrams of post 23. :) I think post 40 is a... -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.@bob012345 Read my post 36 again please. I originally had +/- 1/2 as the slope, but changed it to +/- 1 about an hour later when I... -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.If you look at the diagram by @DaveC426913 in post 23, I think by symmetry that both of those squares have the same area. I'll need to... -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.It may be of interest that in computing the ratio of the radius of the circle inscribed in the octagon to the length of a side of the... -
Charles Link replied to the thread I Geometry problem of interest with a 3-4-5 triangle.@bob012345 ok, but try making the ratio of horizontal and vertical lines with spacing 1,root 2,1 and connecting the points on the sides... -
Charles Link reacted to bob012345's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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Here is a simple drawing of the regular octagon within the square. If the square has corners at (±1,±1), the outside points are root(2)...