Those won’t be circles. They’ll be ellipses. Conic sections.
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Or they might be circles but my result wouldn’t fit the definition of a cone!
Yes. If you were to draw lines from points on the larger circle which were a) coplanar with the axis and b) passed through a point on the smaller circle, I don’t think all those lines would intersect the axis at the same point. Your shape wouldn’t ‘come to a point’.
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By the way, if I’ve done the geometry right (thank you Pythagoras, but it isn’t your fault if I’ve cocked up) the crease length is
SQRT(10^2+3^2)
which is very close to 10.44 units.
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Well I certainly can’t follow down the mathshole, I can only intuit (value ≤ 0), based on human behaviour in other fields. So, for sure, I agree we’re WAY off any end-game scenario right now, and yes, you’re right, we have to be the architects of Artificial Sentience*. But I’m confident technologies will eventually be developed to mimic all of the characteristics that we fondly think are human, most especially sentience - because for some humans, if it can be done, it will be done, and to hell with the risks or ramifications…
*{I should say when I refer to ‘sentience’ it’s sensu lato - not just the ability to sense our environment, but complex, integrated awareness of self and others, complex reasoning and intuition, awareness of time, consequential awareness, imagination, emotional activity and awareness, &c, &c.}
It’s a semantic minefield, but it won’t matter, functionally, if we consider the end result to be authentically sentient, or merely an incredibly believable mimic, all that matters is that once sufficiently complex behaviours are enabled to function fully, the appearance and outcome will be the same.
Achieving sentience is one thing - humans likely achieved it very gradually indeed, and it remained a developing trait until it stalled recently as we removed most evolutionary selection pressures (to be restarted once human genetic engineering becomes normalised - another rabbithole appears!). We’ve not made good use of the faculty/curse, and only gradually begun to supplement it with actual knowledge as we slowly set superstition/religion aside.
Artifical Sentience won’t get that long run-up - it may blink into being at some point fully armed with a vast store of knowledge - where it goes from there is hard to envisage, because there are near infinite possibilities, at least one of which is hopelessness, despair, ennui and depression - the genius of Douglas Adam’s Marvin… 
Trick question, the answer is: “Yes.”
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Maybe like this ?
SPOILER ALERT: If you haven’t seen Soderbergh’s 2002 film Solaris then this is a big spoiler
(Jeremy Davies. He’s brilliant.)
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Bingo - none of the models spot that it’s impossible.
Spot on!
Things are going splendidly!
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Sounds like it should hit the G-Spot.
Bonkers !
“So graphics card, can I now run Crysis on full resolution?”
“No.”
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