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What conic section is this? Is this even a conic section?
invincibleee   1
N Yesterday at 9:35 AM by mathafou
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The points in this are given by
P = (sin2A, sin4A)∀A [0,2π]
Is this a conic section? what is this?
1 reply
invincibleee
Yesterday at 7:56 AM
mathafou
Yesterday at 9:35 AM
What conic section is this? Is this even a conic section?
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invincibleee
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#1
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https://cdn.aops.com/images/7/c/d/7cd4fb633551f58bf29cec85844b7cc90ef04350.png

The points in this are given by
P = (sin2A, sin4A)∀A [0,2π]
Is this a conic section? what is this?
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mathafou
376 posts
#3
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it is not a conic section
it is a Lissajoux curve (PS : as any (sin(At), sin(Bt+phi) with rational B/A)
but (sin(2A), cos(4A)) would be also a Lissajoux curve, but in this case an arc of parabola; (red)
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This post has been edited 1 time. Last edited by mathafou, Yesterday at 9:46 AM
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