Find the side view and simple 3d associated with these views.It is given that there are no hidden lines (lines which are not visible from the side or top view).
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2$\begingroup$ You can edit posts with the "edit" button under the tags. I've deleted your old post for you - next time, just edit it rather than posting a new one. $\endgroup$– Deusovi ♦Commented Feb 26, 2017 at 18:35
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$\begingroup$ Does this figure have to be closed? (Can it have lines) $\endgroup$– suomynonACommented Feb 26, 2017 at 19:07
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$\begingroup$ Perhaps the puzzle statement could mention whether the object is transparent or opaque $\endgroup$– humnCommented Feb 26, 2017 at 21:12
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5 Answers
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As the top view has 90° symmetry, a 90° side view...
...can look exactly the same as the front view.
A 45° side view can be more interesting, ...
...showing an almost-elliptical profile, √2 times as wide, and one of four edges that go halfway down, to the equator. Initial diagram:
Improved diagram (construction from cylinders is described later):
The bottom view, for those interested, ...
...is a square, the same as the top view but without the diagonal lines because the bottom half is rounded.
This can be constructed by...
...beginning with this intersection of cylinders:
That produces the following shape, whose edges below the equator are then rounded off, to remove those lines, without affecting the orthogonal profiles or top view.
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$\begingroup$ I don't see how this works. $\endgroup$ Commented Feb 26, 2017 at 20:54
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1$\begingroup$ I see no problem with this answer. The 45° should have a ratio of $1:\sqrt 2$, which is not too well-illustrated in your drawn image, though :-) $\endgroup$ Commented Feb 26, 2017 at 21:36
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1$\begingroup$ @humn To make the answer more convincing, maybe you can provide a proof sketch that there exists such a rounded-off construction? It is pretty clear that the two orthogonal middle circles (passing trough the crossing intersections) form perfect circles and, thus, the silhouettes will be perfect circles too. Removing the corners will not affect that property. $\endgroup$ Commented Feb 26, 2017 at 21:52
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1$\begingroup$ The diagram is more accurate and explanatory now, @Carl Löndahl, thank you for the feedback $\endgroup$– humnCommented Feb 27, 2017 at 0:40
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Sides could be either of two, or maybe even an infinite amount inbetween , depending where you put the point in the middle. These two models are kinda low poly. So you have to imaginethe curvature a bit Here is a link to watch the second one online: a360autodesk
- picture middle point to the top
- picture middle point to the bottom
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$\begingroup$ Could you maybe provide a link to an STL viewer so we can see it there? I'm having a hard time trying to figure out no. 2 $\endgroup$ Commented Feb 26, 2017 at 20:07
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$\begingroup$ Thanks! Maybe edit it into the question for others to be able to see it too $\endgroup$ Commented Feb 26, 2017 at 20:24
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$\begingroup$ What software do you use to construct the 3d images? $\endgroup$ Commented Feb 27, 2017 at 1:18
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$\begingroup$ Cinema4d. Something similar should be possible with blender (free alternative) $\endgroup$ Commented Feb 27, 2017 at 1:25
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Second try, some kind of XBOX logo shaped cutout on top of a cylinder:
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A possible figure would be the following:
Top view:
Front view:
Side view:
View the design here. (But you won't be able to see the lines for some reason)
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I made a quick 3D model on tinkercad which can be viewed here
It seems it is a cylinder, with a couple of rings going round it which form a cross on top. Here is the suspected side view:
I know that there aren't any lines which aren't visible from the top or front, but I'd argue that the rings are a single line, as a circle has a single side, so that these lines are in fact visible from the top.
Apart from that the top view is a square with a cross (imagine the black rings were flat):
And the front view is a circle:
answered Feb 26, 2017 at 19:20
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$\begingroup$ It can't be a sphere, rings or no rings, if it looks like a square from the top. $\endgroup$ Commented Feb 26, 2017 at 19:22
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$\begingroup$ @randal'thor sorry meant cylinder $\endgroup$ Commented Feb 26, 2017 at 19:23
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1$\begingroup$ Doesn't this have "lines which are not visible from the side or top view"? $\endgroup$– humnCommented Feb 26, 2017 at 19:30
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$\begingroup$ @humn ah didn't see that. However it could be argued that the rings are single lines which are visible from the top $\endgroup$ Commented Feb 26, 2017 at 19:48