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sopularity_fax@sopuli.xyz to No Stupid Questions@lemmy.world ·
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16 hours ago

Under what circumstances or axioms do spheres (the shape) have (theoretically or axiomatically) infinite surface area?

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Under what circumstances or axioms do spheres (the shape) have (theoretically or axiomatically) infinite surface area?

sopularity_fax@sopuli.xyz to No Stupid Questions@lemmy.world ·
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16 hours ago
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  • 🇰 🌀 🇱 🇦 🇳 🇦 🇰 🇮 @pawb.social
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    16 hours ago

    Under the definition of what a circle is…?

    It’s a polygon with infinite sides. The circumstance would be “being a circle.” If it has less than infinite sides, it’s not a circle.

    • sbird@sopuli.xyz
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      8 hours ago

      sphere != circle

      Sphere is like a ball (3D), while circles are like those round coasters for drinks (flat)

    • TonyTonyChopper@mander.xyz
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      15 hours ago

      Ok but the sum of the infinite sides is a finite value

    • TonyTonyChopper@mander.xyz
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      15 hours ago

      Ok but the sum of the lengths of these infinite sides is a finite value

      • 🇰 🌀 🇱 🇦 🇳 🇦 🇰 🇮 @pawb.social
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        15 hours ago

        If OP just means the size of the entire inside of the circle, then it would need an infinite radius, too.

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