new cube packing record for n=12 at 2.931514578 found with this method. beats Haowei Lin's 2026 record (2.93277+). s=2.931514577965 # i x y z w qx qy qz # cube=c+R(w,qx,qy,qz)[-1/2,1/2]^3, Hamilton 1 1.5243879843 2.4315145780 1.3320162706 0.5838886869 -0.5838886869 -0.3988408220 -0.3988408220 2 2.4315145780 2.4315145780 0.5000000000 0.7071067812 0.7071067812 0 0 3 0.5000000000 1.4369539605 1.4377198700 0.5395289954 0.4570650535 0.4570650535 -0.5395289954 4 0.5098735814 0.5769311229 2.3545747284 0.4560511351 -0.5403863020 -0.4560472394 0.5403896022 5 0.6086093613 2.2929283270 2.3887741023 0.0258332833 0.7609821302 -0.6482073268 -0.0081302199 6 2.4315145780 1.4315145780 0.5000000000 0 0 0 -1 7 2.4298401750 2.4215249296 2.2620514795 0.0000269579 0.0016621483 -0.9999712786 0.0073944948 8 1.5800388387 1.4806909324 2.4315145780 0 -0.9765112947 -0.2154662186 0 9 1.6870669871 0.7046048868 1.3931621797 0.1630483719 -0.8266039691 -0.3023204668 0.4458065074 10 0.6714192000 0.5125505069 0.5042784926 0.0019279356 0.0017767559 -0.7100527881 -0.7041435680 11 2.4315145780 0.5648562958 2.4315145780 0.5 -0.5 -0.5 0.5 12 0.5 2.3777488832 0.5 0.7071067812 -0.7071067812 0 0

A newly published paper finds that Gen Z is falling dramatically short of the fertility of all previous generations by age. Gen Z has both lower fertility preferences and higher rates of fertility impairment. That means American birth rates are likely to fall a lot further. 🧵

Waymo vehicle is seen completely ignoring the red light and slowlyyyyy creeping up to the light until eventually just running the red light The Waymo is basically fully through the intersection by the time it turns green. This could get someone killed if they were inside This happens an estimated hundreds of times per year. They even ignore school busses sometimes. Austin’s school district documented more than 20 cases in one school year of Waymos passing stopped school buses with red lights and stop arms out. Scottsdale has issued Waymo citations for ignoring lights and signs A June 2026 Waymo review found hundreds of alleged dangerous maneuvers across cities - Red lights - Wrong-way driving - Driving on closed roads - Near-misses

Saw a post by a 27 year old today. He was saying, Boomers need to see what it’s like to be us, trying to live off what we make! I replied with, you’ve been brainwashed! I made $1.75 an hour in 1974 with a pregnant wife and son on the way. I volunteered for every over time chance I could, so we could survive! I made $8.00 an hour into the late 80’s. My wife worked as well, so we could provide for our two children! I’m so sick of all these ME youngsters of today!