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bob012345 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... -
bob012345 reacted to Charles Link's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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@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... -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle.It looks off but I computed the coordinates and checked the edge lengths which are ##2-√2##. -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle.Finally, I think you meant this. -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle. -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle.I thought you meant the squares inscribed in the irregular octagon. -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle. -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle.For the irregular octagon, there are two squares inside it but they are not equal. The ratio of areas is 1.125. -
bob012345 reacted to Charles Link's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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@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... -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle.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)... -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle.I was looking at how to make a regular octagon in the spirit of the OP but it’s difficult to construct the ratio you mentioned without... -
bob012345 reacted to DaveC426913's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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Oh I see. The diagram is perfectly four-fold symmetrical - but it is not eight-fold symmetrical. And the 37/53 is reflected in the two... -
bob012345 reacted to Charles Link's post in the thread I Geometry problem of interest with a 3-4-5 triangle with
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From symmetry, it is readily seen that the sides come in 4 identical pairs. The angle between the two sides in each pair is not 135... -
bob012345 replied to the thread I Geometry problem of interest with a 3-4-5 triangle.The edges are the same lengths but parallel edges are skewed wrt each other, they are parallelograms not rectangles. -
bob012345 replied to the thread Dune: Prophecy, what to read for additional story context?.Interestingly, the miniseries Dune was filmed in Prague when Eastern Europe had opened up after the Cold War. Here is an article about...



