## Thursday, February 23, 2012

### the 25 challenge

good morning birthday girl!!!
today you are 25!!! 25 is a good number...

It is a square number, being 5² = 5 × 5. It is the smallest square that is also a sum of two (non-zero) squares: 25 = 3² + 4². Hence it often appears in illustrations of the Pythagorean theorem.
25 is a centered octagonal number, a centered square number, and an automorphic number.
25 per cent means one quarter.
25 has an aliquot sum of 6 and number 6 is the first (or smallest) number to have an aliquot sequence that does not culminate in 0 through a prime. Twenty-five is the aliquot sum of three integers; 95, 119, and 143. Twenty-five is the second composite member of the 6-aliquot tree.
It is the smallest base 10 Friedman number as it can be expressed by its own numbers: 5².
It is also a Cullen number. 25 is the smallest pseudoprime satisfying the congruence 7n = 7 mod n.
25 is the smallest aspiring number — a composite non-sociable number whose aliquot sequence does not terminate.
According to the Shapiro inequality, 25 is the least odd integer n such that there exist $x_1, x_2, \dots, x_n$ such that
$\sum_{i=1}^{n} \frac{x_i}{x_{i+1}+x_{i+2}} < \frac{n}{2}$
where xn + 1 = x1,xn + 2 = x2.
Within base 10 one can readily test for divisibility by 25 by seeing if the last two digits of the number match 25, 50, 75 or 00.
25 and 49 are the only perfect squares in the following list:
13,25,37,49,511,613,715,817,919,1021,1123,1225,1327,1429...etc.
The formula in this list can be described as 10n * Z + (2Z + 1) where n clearly depends on the number of digits in Z and in 2Z+1.
In base 30, 25 is a 1-automorphic number (displayed as the numeral 'P' or 'R' dependant on the chosen digit set), and in base 10 a 2-automorphic number.

25 is The atomic number of manganese

you see, turning 25 this year is so great...good things will come when carrying around a number like 25 for your age!!
lol, I know...I am truly brilliant, aren't I? to know all of these things, especially mathematic things, about the number 25? noooo...Ringo didn't tell me these facts (what do bet he knows all of them off the top of his head, though?) actually these facts came from here (proving I am only clever when it comes to searching for things on the internet!)

happy 25th birthday, dear sweet friend of mine!! soooo, i have a birthday challenge for you, since I won't be there to spend it with you....
step outside your room...see all of those balloons? (hahahahahahaha and now you are wondering how on earth those got there w/o you hearing them being delivered aren't you?!) there are 25 to be exact...and guess what's in each of them!?! $1.$25 total.  I had considered $25 in quarters... now, here is your challenge... you must find the best-ever find for$25 and post about it on your blog (so I can feel like I am there celebrating with you!!!) and i'll post/link it here...flea finds with V....or post a series of your choices and i'll guess what you chose? LOL...and you don't have to do it today...or at your usual flea...but you have to do it before we both see each other again!!!! i wish i was with you and we could first stop at coal creek, have a cuppa joe, chat about everything and nothing all at the same time...discuss our latest projects, how we plan to help the hurting of the world, our next moves, people that annoy us, people that we love...lol...and then, we would waste away the day shopping for the perfect \$3 find (lol that typcially comes from change in our purses!), it's truly a drug isn't it? LOL remember when we walked out of that shop after only being able to spend 30minutes absorbing it?
ok, happy happy birthday! i hope your birthday is splendid and that 25, the perfect square, is the perfect NON-square year for you!! because everything is always out of the box for you...just the way it's supposed to be!!!
we love you.
oh ps...check the fridge in your garage...

## Tuesday, February 14, 2012

### i heart pink. and ringo. and my little valentines.

hello. and happy lover's day!!
i have always loved valentine's day.  whether single or married, i have loved it...probably b/c it's filled with pink, my fave color.  yes, i am the girl that likes a holiday for it's color rather than the significance of romance.
I am totally and completely in love with my valentine, though, AND i love having a romance with him!! and I'm totally in love with my little family of valentines.  we always watch a charlie brown holiday movie on most holidays...mostly b/c we've rarely had cable tv in our many homes and that is one cartoon that seasonally airs on the antenna channels!! we have also started this tradition of watching Jacob Two Two and his valentine episode which happens to be pretty funny...maybe it's just funny to us b/c the kids laugh SO hard.
today, for valentine's day, I am peeing in a jug in the dark.  do you have any idea how difficult it is to take samples in the dark? yeah, it's not easy.  just this morning i've spilled urine all over myself (seriously, try pouring a "hat" of urine into the small mouth of a container with the lights off or your eyes closed...see if you can manage to not get pee on yourself?!).  LOL here's the funny thing, I was totally against mini potty seats after my kids got used to the little potty seat that sat inside the actually toilet seat BECAUSE i can't stand the smell of urine, and NOW I'm pouring it all over myself and my sink!! next up comes some other fun samples...in the dark.  seriously.  OH, and in the middle of all of this, I have a dentist appointment today too...lol...this is probably the most unique valentine's day I have ever had!!
How has yours been?
XOXO

## Wednesday, February 1, 2012

### smitten

ohmygoodness, I am totally and completely smitten by this artist's work, featured in today's Daily Telecraft post (quickly becoming a fave blog of mine!). Vicki, this one's for you! and for all of my other fabulously creative friends, too.
ps ringo...valentines day, need i say more?
hope your morning is off to a great start