Tootfinder

New sign and revised handle... Larger back piece in case of wind.
(No stencil for this one... printed on a nice printer!)
Laser-cut banana for scale.

#protest #resist #fascism

Unter dem Label 'Europäische #DigitaleSouveränität' wird aktuell in #Brandenburg ein Desaster geplant. Das Wasser ist schon knapp, nicht zuletzt durch Tesla, aber auch wegen des Klimas.
"Derzeit gibt es laut Wirtschaftsministerium mehr als 30 Anfragen vo…

Some series connecting Fibonacci numbers to $\pi$
Zhi-Wei Sun, Yajun Zhou
https://arxiv.org/abs/2506.01865 https://arxiv.org/pdf/2506…

Some series connecting Fibonacci numbers to $π$
In this paper, we mainly deduce several series identities connecting the Fibonacci numbers to $π$. For example, we prove that \[\sum_{k=1}^{\infty}\frac{(135 k-56) F_{8 k}-2 (105 k-44) F_{8 k-1}}{k^{3}\binom{2k}{k}^3}=\frac{7π^{2}}{3}\]and\[\sum_{k=0}^\infty\frac{\binom{2k}{k}^3}{2^{12k}}\big[ 2 (90 k+13) F_{8 k}-2 (30 k-1) F_{8 k-1}\big]=\frac{64}π.\]

Ah, ook binnen het CDA voldoende (te veel) Christofascisten. Maar laf, want anoniem.
Bah.
https://www.rtl.nl/nieuws/politiek/artikel/5516729/cda-asielwetten-kritiek-tegenstem-prominenten-fout-tweede-kamer

Gemor binnen CDA over tegenstem Tweede Kamerfractie over asielwetten
In het CDA klinkt gemor over het besluit van de CDA-Tweede Kamerfractie om tegen de wetten te stemmen die het asielbeleid strenger maken. "Een domme fout", moppert een voormalig CDA-bewindspersoon.

After House Republicans ignored her appeals, Lisa Murkowski's vote looks even worse (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/house-republicans-ignored-appeals-lisa-murkowskis-vote-looks-even-wors-rcna216750
http://www.memeorandum.com/250703/p136#a250703p136

"I religiously followed your blog along with the blogs of Jeffrey Zeldman, Dan Cederholm, and Doug Bowman. You were blogging constantly and it was great for people who were getting immersed in web design and code."
https://veerle.duoh.com
@…

Veerle's Blog 4.0 | Graphic & Web Design Articles & Illustrator and…
Hi, I'm Veerle! Explore my design tutorials to gain valuable insights and resources that have shaped my own ( web ) design journey. Discover the…

This https://arxiv.org/abs/2505.24100 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Halfway to induced saturation for even cycles
For graphs $G$ and $H$, we say that $G$ is $H$-free if no induced subgraph of $G$ is isomorphic to $H$, and that $G$ is $H$-induced saturated if $G$ is $H$-free but removing or adding any edge in $G$ creates an induced copy of $H$. A full characterization of graphs $H$ for which $H$-induced saturated graphs exist remains elusive. Even the case where $H$ is a path -- now settled by the collective results of Martin and Smith, Bonamy et al., and Dvoŕǎk -- was already quite challenging. What if…

Various irrational series involving binomial coefficients
Zhi-Wei Sun
https://arxiv.org/abs/2506.01870 https://arxiv.org/pdf/2506.018…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…

Laura Loomer's White House access erases the line between the fringe and mainstream (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/laura-loomers-white-house-access-erases-line-fringe-mainstream-rcna210863
http://www.memeorandum.com/250604/p51#a250604p51

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Daniel Flores, Kiseok Yeon
https://arxiv.org/abs/2506.01291 http…

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Let $d$ and $n$ be natural numbers. Let $ν_{d,n}: \mathbb{R}^n\rightarrow \mathbb{R}^{N}$ denote the Veronese embedding with $N=N_{n,d}:=\binom{n+d-1}{d}$, defined by listing all the monomials of degree $d$ in $n$ variables using the lexicographical ordering. Let $\langle \boldsymbol{a}, ν_{d,n}(\boldsymbol{x})\rangle\in \mathbb{Z}[\boldsymbol{x}]$ be a homogeneous polynomial in $n$ variables of degree $d$ with integer coefficients $\boldsymbol{a}$, where $\langle\cdot,\cdot\rangle$ denotes t…