Greetings to you all. Summer will officially be upon us soon, (Dec. 21st.) but it is already summerish much of the time. I thought therefore that I'd show you some pictures from the gardens that lie just opposite our cafe. While I was taking pictures, a bumble and a honey bee came along, not together, I doubt that they're acquainted, and I was able to add them to the shots. Actually, in my opinion, they make the shots.
I hope that you enjoy what I'm sharing.
The first two shots are a before and after of the sunrise taken on Dec. 6th. 2024.
The sun is approaching the point furthest south in its periodic sweep across the horizon between the equinox and the the solstice. On Dec. 21, this year, the sun will rise, when seen from our balcony, directly behind the pine tree which stands just to the right of where the sun came up in the following pictures.
I am immensely enjoying these pictures, Doug! The roses and hollyhocks are just stunning! Fuzzy Ms. Bumble and her cousin Ms. Honey make me smile just because they are so cute.
ReplyDeleteI watched the Kaprekar's Constant you tube video. It is mind-blowing! I'm going to try it with my birth year 1953 right here:
9531-1359=8172
8721-1278=7443
7443-3447=3996
9963-3699=6264
6642-2466=4176
7641-1467=6174
Wow! it took 6 iterations to get to 6174.
I'm glad you enjoyed the pictures and the video. I wonder if it would work with three digit or 5 digit numbers? I haven't tried.
ReplyDeleteaccording to the video it only works with 4 digit numbers. he even did it starting with 1000...
DeleteI had forgotten that.
DeleteI loved this post and the pictures of the roses are stunning. I loved the name also. You know I am "math stunted". However, I found this fascinating and he was a great presenter. I think GG would like that. I'll have to try to show it to her the next time she is over here. McKenzie
ReplyDeleteYeah, she might like that.
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