During a boring meeting one day in 1963, Stanislaw Ulam drew a square, marked the number 1 at the center, and then wrote the increasing whole numbers as spiral that wound its way out to the edge of the paper. He then circled all the prime numbers and was immediately struck by how they tended to fall on diagonal lines radiating from the central 1.
In Ulam's words the arrangement of primes "appears to exhibit a strongly nonrandom appearance." Ulam rushed home and expanded the spiral to cover a much larger portion of the number sequence. The strange pattern persisted. Primes had a tendency to occur in clusters and all clusters tended to make a beautiful image that couldn't be predicted.
With the help of computers this pattern can now be explored almost indefinitely and it reveals a wonderfully rich combination of symmetry and surprise β very reminiscent of some fractals.
The older i get, the more i realize that someone making time for you is one of the clearest signs they care. Everyone is busy. Everyone has responsibilities and their own battles to fight. So when someone consistently chooses to spend their time with you, checks on you, and makes space for you in their life, it means something. time is one thing we can never get back, and people don't give it away lightly.
This year we're celebrating 30 years of Story of Seasons.
As a small treat, we've prepared an early, in-progress look at the next installment in your favorite cozy game series.
Thank you for all of the support, and stay tuned for more updates!
A Google Play user says he purchased Lord of the Rings Extended Trilogy suddenly disappeared from their library after Google removed it from its catalog.
According to screenshots shared by the user, Google Support confirmed the films were no longer available and said they couldnβt issue a refund because the purchase was made in 2022, which is outside the companyβs standard 120-day refund window.
βI bought these in 2022, all of a sudden they arenβt available and there is no possibility of a refund or gift card. Hardly seems fair.β