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Message: <blockquote data-quote="Ridunapm" data-source="post: 28068553" data-attributes="member: 580951">Hello [USER=562115]@imhotep[/USER], perhaps remember to mention me when you're posting such math/philosophy questions. I guarantee that you will have a stimulating answer. (You'll be amazed that I'm well versed in more things than ජංගි) <img class="smilie smilie--emoji" loading="lazy" alt="😊" title="Smiling face with smiling eyes    :blush:" src="https://cdn.jsdelivr.net/joypixels/assets/6.6/png/unicode/64/1f60a.png" data-shortname=":blush:" />Pi squared is the surface area of a point hole, unit radius 3D Torus. You can think of it as an උළුදු වඩේ with a middle hole that is infinitesimally small. The surface area of one such shape is Pi squared. <img class="smilie smilie--emoji" loading="lazy" alt="👍" title="Thumbs up    :thumbsup:" src="https://cdn.jsdelivr.net/joypixels/assets/6.6/png/unicode/64/1f44d.png" data-shortname=":thumbsup:" />You can get this by thinking exactly as in the definition. The area of a unit radius circle is Pi. Think how that happens. You take a unit length, hold it from one end point and rotate it from that end.Thinking along that definition, you can understand the Pi squared quite easily. A circle (2D) develops when a unit length line (1D) is rotated about its end. Similarly, a point hole Torus (3D) is a unit circle (2D) rotated from a point in its perimeter.From the definition of Pi, the area of a unit radius circle is Pi. Similarly, the surface area of a unit radius, point hole Torus is Pi x Pi. We rotate once to get the circle (Pi), we rotate it again to get the Torus (Pi x Pi). If you like, you can think about the shape of Pi^3. You might think that's stupid, but the f electron shell of large atoms in Lanthenide series (electron shells are named s, p, d, f, if you remember some chemistry) have a 95% probability of being in the 3D emulation of such shaped area.සරලව සිංහලෙන් කිව්වොත් unit දෙකක් පළල, මැද හිල ලක්ෂ්‍යයක් වන උළුඳු වඩේ එකක පිටත පෘෂ්ඨ වර්ගඵලය Pi වර්ගයට සමානයි. අ‍ාස නම් Pi^3 හැඩය හිතලා බලන්න ඔය විදිහටම. Lanthenide series එකේ පරමාණුවල f ඉලෙක්ට්‍රෝන කවචයෙ 3d හැඩය එ‍් වගේමයි (95% සම්භාවිතාව). <img class="smilie smilie--emoji" loading="lazy" alt="👍" title="Thumbs up    :thumbsup:" src="https://cdn.jsdelivr.net/joypixels/assets/6.6/png/unicode/64/1f44d.png" data-shortname=":thumbsup:" /><hr />Pi^2 is special. Read the explanation. <img class="smilie smilie--emoji" loading="lazy" alt="👆" title="Backhand index pointing up    :point_up_2:" src="https://cdn.jsdelivr.net/joypixels/assets/6.6/png/unicode/64/1f446.png" data-shortname=":point_up_2:" />------ Post added on [DATETIME="UT"]1660400274[/DATETIME]</blockquote>

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