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  "body": "\n## Statement\n\n$$e^{i \\pi} + 1 = 0.$$\n\n## Remarks\n\nProof: [[Euler's formula|04R3CY41VJ]] with $z = \\pi$ gives $e^{i \\pi} = \\cos \\pi + i \\sin \\pi = -1$.\nThe identity links five constants: $0$, $1$, $\\pi$, $e$ and $i$.\n\n## Explanations\n\n### L1 human\n\nWalk around the unit circle from $1$ for a distance of $\\pi$, which is half of the circle.\nYou arrive at $-1$, so $e^{i \\pi} = -1$.\n",
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