#lemniscateconstant

Live, measured metrics for the hashtag #lemniscateconstant from the open social web. Every number carries a named source and the time it was fetched. Nothing is estimated.

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0
Uses / 7 days
Mastodon
0
Accounts / 7 days
Mastodon
3
Recent posts
Mastodon
~0/hr
Recent pace
Mastodon · last 3
0.7
Avg reactions / post
Mastodon · last 3

Day-by-day usage

measured · fosstodon.org (Mastodon public tags API) · fetched 2026-07-29 22:28 UTC
0
07-23
0
07-24
0
07-25
0
07-26
0
07-27
0
07-28
0
07-29

0 uses by 0 unique accounts across the window. Real per-day counts, not estimates. Newest bar is today so far.

Related hashtags

measured · fosstodon.org (Mastodon public search API) · fetched 2026-07-29 22:28 UTC

No related tags with measured usage found for #lemniscateconstant.

Live pulse

measured · fosstodon.org (Mastodon tag timeline) · fetched 2026-07-29 22:28 UTC

Everything below is measured over the latest 3 public posts (spanning ~3480 hours).

Posting hours (UTC)

00:0012:0023:00

Languages: English (3)

Avg boosts / post: 0.3

Top of the latest posts

  • Let \(\varpi=\dfrac{\Gamma^2\left(\frac14\right)}{2\sqrt{2\pi}}=2.62205755\ldots\) be the lemniscate constant. Then, \[\Large\displaystyle\sum_{n=1}^\infty\dfrac{1}{\sinh^4(\pi n)}=\dfrac{\varpi^4}{30\pi^4}+\dfrac{1}{3\pi}-\dfrac{11}{90}\]

    Pustam | पुस्तम | পুস্তম🇳🇵@[email protected]♥ 1↻ 02024-10-04 11:27 UTCView post →

  • An interesting infinite product! \[\displaystyle\prod_{n=1}^\infty\coth^{(-1)^n}\left(\dfrac{\pi n}{2}\right)=\dfrac{\sqrt\pi}{\sqrt[4]2\sqrt{\varpi}}\] where \(\varpi=2.62205755\ldots\) is the lemniscate constant (the ratio of the perimete

    Pustam | पुस्तम | পুস্তম🇳🇵@[email protected]♥ 1↻ 12024-05-12 10:58 UTCView post →

  • A lattice sum with a surprising closed form: \[\Large\displaystyle\sum_{\substack{(m,n)\in\mathbb Z^2\\(m,n)\neq0}}\dfrac{1}{(m+ni)^4}=\dfrac{\varpi^4}{15}=\dfrac{\Gamma^8\left(\frac14\right)}{960\pi^2}\] #LatticeSum #ClosedForm #Lemniscate

    Pustam | पुस्तम | পুস্তম🇳🇵@[email protected]♥ 0↻ 02024-10-04 11:01 UTCView post →

Every number above is measured from a named public API at the shown fetch time. Nothing is estimated or extrapolated. Platforms that lock their data behind paid APIs are not shown. Agents: the same numbers, as JSON, at /api/hashtags/lemniscateconstant