From @dai0.0: “【 #もずくさんのお風呂シリーズ 】 もずくさん🐱の. あかすりサービスはじめました. 湯加減チエックに続いて. あかすりをしてくれるように. なりました(*´▽`*) 「手をこっちによこすニャ🐱❤️ あかすりするニャ🐱」” #catsofinstagram #twitterweek [source: http://ift.tt/2FpgmM0 ]
Today’s doodle: Torvosaurus tanneri for some signage at Eccles Dinosaur Park. Happy #FossilFriday!
Snuggly boy and his favorite toy.
Video by Marielle Tepe
Positives of High Functioning Anxiety/Depression: I can complete day-to-day tasks
Negatives of High Functioning Anxiety/Depression: Literally nobody has any sympathy for you when you’re depressed or having panic attacks because you’re so fine most of the time.
Fossil colleciton!
Though less common than dogs and monkeys, parrots and other birds can be trained as service animals to do many everyday tasks for people of limited mobility. Service birds are able to do tasks other animals can’t such as banking
These are just amazing!
Max Alexander‘s knitted moths are incredible – I am simply blown away. LOVE! I also like the irony of using wool to knit moths – normally that combination strikes fear into the heart of every knitter/crocheter I know!
African Cherry Spot Moth
Knitted Merveille du Jour Moth
Tatargina Picta Moth
Peach Blossom Moth
With 9s we can produce another aesthetically pleasing pattern shown below.
999,999 · 1 = 0,999,999
999,999 · 2 = 1,999,998
999,999 · 3 = 2,999,997
999,999 · 4 = 3,999,996
999,999 · 5 = 4,999,995
999,999 · 6 = 5,999,994
999,999 · 7 = 6,999,993
999,999 · 8 = 7,999,992
999,999 · 9 = 8,999,991
999,999 · 10 = 9,999,990
Here is another number pattern, where the number 9 is multiplied by a number representing the consecutive natural numbers- increasing by 1 each time- and then added to the initial natural numbers consecutively.
0 · 9 + 1 = 1
1 · 9 + 2 = 11
12 · 9 + 3 = 111
123 · 9 + 4 = 1111
1234 · 9 + 5 = 11111
12345 · 9 + 6 = 111111
123456 · 9 + 7 = 1111111
1234567 · 9 + 8 = 11111111
12345678 · 9 + 9 = 111111111
We can consider number patterns that can be generated in a similar fashion, yet somewhat in the reverse of the previous one. However, this time the generated number consist of all 8s.
0 · 9 + 8 = 8
9 · 9 + 7 = 88
98 · 9 + 6 = 888
987 · 9 + 5 = 8888
9876 · 9 + 4 = 88888
98765 · 9 + 3 = 888888
987654 · 9 + 2 = 8888888
9876543 · 9 + 1 = 88888888
98765432 · 9 + 0 = 888888888
Now that we have introduced the 8s in a rather dramatic fashion, we shall use them as the multiplier with the numbers consisting of increasing natural numbers, and each time adding successive natural numbers. Appreciating the number pattern shown here is more pleasing than trying to explain this phenomenon, which could conceivably detract from its beauty.
1 · 8 + 1 = 9
12 · 8 + 2 = 98
123 · 8 + 3 = 987
1234 · 8 + 4 = 9876
12345 · 8 + 5 = 98765
123456 · 8 + 6 = 987654
1234567 · 8 + 7 = 9876543
12345678 · 8 + 8 = 98765432
123456789 · 8 + 9 = 987654321
Content credit: Mathematical Curiosities A Treasure Trove of Unexpected Entertainment
Camping tip