motd - 08/##/2024 ----------------- 08/31/2024 Viviani's theorem: https://www.futilitycloset.com/2024/08/27/peak-to-peak/ https://en.wikipedia.org/wiki/Viviani's_theorem 1. In equilateral triangle ABC, with height h and side length a, pick a point P within ABC 2. Draw perpendicular lines from P to each of the three sides AB, AC, and AB of triangle ABC. Let the lengths of these lines be s, t, and u, respectively. 3. Draw lines from P to each of A, B, and C, to form three triangles PAB, PAC, and PBC within triangle ABC. 4. Area ABC = (1/2)(a*h) = Area PAB + Area PAC + Area PBC 5. Area PAB = (1/2)(s*a) Area PAC = (1/2)(t*a) Area PBC = (1/2)(u*a) 6. Therefore, (1/2)(a*h) = (1/2)(s*a) + (1/2)(t*a) + (1/2)(u*a) 7. Diving by the common factor (a/2) leaves: h = s + t + u Thus, the sum of the shortest distances from any interior point in a equilateral triangle to its sides equals the triangle's height. 08/30/2024 The harmonic series converges in base 11 or higher: https://www.johndcook.com/blog/2024/08/29/strange-harmonic-series/ Simple python test program: https://srirangav.github.io/motd/2024/08/harmonic.py 08/26/2024 Don't use complex expressions in if conditions: https://maximullaris.com/if_condition.html 08/26/2024 Macs compatible with MacOS Sequoia: https://osxdaily.com/2024/08/26/macos-sequoia-compatible-macs/ 08/26/2024 LUX-ZEPLIN rules out WIMPs above 9 GeV/c^2: https://phys.org/news/2024-08-dark.html 08/26/2024 A book about the Iliad foils a robbery: https://www.bbc.com/news/articles/cvg4kpv3p4zo https://lithub.com/an-italian-robbery-was-averted-thanks-to-a-good-book/ 08/24/2024 Making coffee at home as an economic signal: https://rubenerd.com/making-coffee-at-home-as-an-economic-signal/ 08/24/2024 OpenBSD of Theseus: https://www.undeadly.org/cgi?action=article;sid=20240824114631 "With this commit, we have completed an amusing mission of replacing the final parts of the original OpenBSD. We have reached OpenBSD of Theseus." 08/22/2024 Oldest company in the world - Kongo Gumi: https://www.openculture.com/2024/08/how-the-oldest-company-in-the-world-has-survived-nearly-1500-years.html 08/22/2024 The original 386 Sid Meier used to create Civ: https://www.extremetech.com/computing/civilization-developer-shows-off-the-10000-386-pc-used-to-make-the-original 08/22/2024 Marathon, Marathon 2, and Marathon Infinity are free on Steam: https://appleinsider.com/articles/24/08/22/classic-marathon-infinity-lands-on-steam-as-a-free-mac-title 08/22/2024 Civ VII is coming in Feb 2025: https://appleinsider.com/articles/24/08/20/civilization-vii-is-coming-to-mac-in-early-2025 https://arstechnica.com/gaming/2024/08/civilization-vii-preview-a-new-age-dawns-for-this-decades-old-4x-series/ 08/21/2024 APFS versions: https://eclecticlight.co/2024/08/22/dual-booting-your-mac-with-multiple-versions-of-apfs/ 08/21/2024 Antihyperhydrogen-4: https://www.sciencealert.com/record-breaking-antimatter-discovery-could-help-us-find-dark-matter The STAR experiment conducted at Brookhaven National Lab's Relativistic Heavy Ion Collider recently detected "a hypernucleus made of antimatter, or an antihypernucleus. ... [I]t was the heaviest and most exotic antimatter nucleus ever seen ... [and] consist[ed] of one antiproton, two antineutrons and an antihyperon, and has the name of antihyperhydrogen-4." 08/21/2024 The color of night: https://www.atlasobscura.com/articles/what-color-is-night "On Earth, even in the absence of light pollution or a Moon, the sky is never totally black. Instead, a rainbow of subtle colors appear[.] ... Bands of green and red appear through the dark, a phenomenon called airglow. Rather than the light of the Sun or Moon, this is the light of chemistry: Solar radiation energizes atoms and molecules of air, which emit a faint glow. So sometimes the night sky is reddish green, or teal, or purple." 08/16/2024 Traceroute and modern firewalls: https://utcc.utoronto.ca/~cks/space/blog/sysadmin/TracerouteFirewallRealization "[The] default way that traceroute works is by sending UDP packets to a series of high UDP ports with increasing IP TTLs, and seeing where each reply comes from. If the TTL runs out on the way, traceroute gets one reply; if the packet reaches the host, traceroute gets another one (assuming that nothing is listening on the particular UDP port on the host, which usually it isn't). ... Most firewalls are set to block unsolicited incoming UDP traffic by default; you normally specifically configure them to pass only some UDP traffic through to limited ports (such as port 53 for DNS queries to your DNS servers). ... The best way around this is probably to use ICMP for traceroute ... Most Unix traceroute implementations support '-I' to do this." 08/14/2024 AMS finds a surplus of deuterons: https://www.sci.news/physics/deuteron-flux-13175.html 08/10/2024 Start by doing the math: https://forestfolkcomic.tumblr.com/post/758426008050368512/forest-folk-410-081024 08/10/2024 Pros and cons of setting a root password on Debian: https://www.reddit.com/r/debian/comments/1eoq6o3/should_i_set_a_root_password/ I like the suggestion to set the root password after first boot: "What I do is skip the root password in the installer and then set one after first boot. ... The reason I use sudo exclusively but still set a root password is because grub's recovery console requires one." 08/10/2024 What does it mean to initialize an int? https://herbsutter.com/2024/08/07/reader-qa-what-does-it-mean-to-initialize-an-int/ 08/07/2024 Macports 2.10.0: https://github.com/macports/macports-base/releases/tag/v2.10.0 I encountered an sqlite error that was fixed with a 'sudo port selfupdate': https://lists.macports.org/pipermail/macports-users/2024-August/052830.html 08/06/2024 Engadget's 2024 ergonomic keyboard recommendations: https://www.engadget.com/best-ergonomic-keyboard-130047982.html May have to try one of these when/if my Microsoft Surface keyboards break. 08/06/2024 MacOS Containers: https://eclecticlight.co/2024/08/05/what-are-all-those-containers/ 08/04/2024 while vs do-while: https://craftofcoding.wordpress.com/wp-content/uploads/2024/08/roadrunnerc.png?w=600 08/04/2024 Cool aliens rock fishing hats: https://www.reddit.com/r/Stargate/comments/1eingdv/tealc_and_spock_agree_cool_aliens_rock_fishing/ 08/02/2024 Graphene found on the moon: https://newatlas.com/materials/natural-graphene-moon-discovered/ 08/02/2024 Odin could have been villain on SG-1: https://www.gateworld.net/news/2024/08/stargate-ancient-asgard-almost-major-villain/ "But in the final balance, Stargate's writers may have made the right decision by keeping the Asgard as our benevolent allies - and not introducing an aggressively creepy antagonist." 08/02/2024 Civ 7 game play premier will be on August 20: https://www.gamingonlinux.com/2024/08/well-get-our-first-look-at-civilization-vii-on-august-20/ 08/02/2024 History of common Unix commands: https://allthingsopen.org/articles/where-unix-came-from Older ----- 07/##/2024 https://srirangav.github.io/motd/2024/07/motd.txt https://srirangav.github.io/motd/2024/07/index.html 06/##/2024 https://srirangav.github.io/motd/2024/06/motd.txt https://srirangav.github.io/motd/2024/06/index.html 05/##/2024 https://srirangav.github.io/motd/2024/05/motd.txt https://srirangav.github.io/motd/2024/05/index.html 04/##/2024 https://srirangav.github.io/motd/2024/04/motd.txt https://srirangav.github.io/motd/2024/04/index.html 03/##/2024 https://srirangav.github.io/motd/2024/03/motd.txt https://srirangav.github.io/motd/2024/03/index.html 02/##/2024 https://srirangav.github.io/motd/2024/02/motd.txt https://srirangav.github.io/motd/2024/02/index.html 01/##/2024 https://srirangav.github.io/motd/2024/01/motd.txt https://srirangav.github.io/motd/2024/01/index.html ##/##/2023 https://srirangav.github.io/motd/2023/motd.txt https://srirangav.github.io/motd/2023/index.html ##/##/2022 https://srirangav.github.io/motd/2022/motd.txt https://srirangav.github.io/motd/2022/index.html Links ----- Text: https://srirangav.github.io/motd/motd.txt HTML: https://srirangav.github.io/motd/index.html RSS (all entries): https://srirangav.github.io/motd/rss.xml RSS (current month's entries only): https://srirangav.github.io/motd/rss-cur.xml RSS (current year's entries only): https://srirangav.github.io/motd/rss-ytd.xml