Thursday, May 30, 2013

Adventures in Monotangles #12 – Verve

OK Sadly I am still not feeling the best, but I am much better than I was last week at this time. Let me just say two things about The Shingles…. 1) I would not wish them on my worst enemy, 2) I am so happy I went to the doctor right away as it is nowhere near as bad as it could be.

I am at least getting this Adventure up this week, the Tangle I decided on was I think the 1st tangle I ever used in a Monotangle, outside of the CZT training. The tangle is Verve,

Link to Tangle Patterns page for Verve is Here.

And here is my Tile.

Over the weekend I hope to get all the late slide shows up.

Thursday, May 23, 2013

Adventure is delayed

Sorry about this folks, but I have come down with a case of the Shingles. Sadly it is slowing me down with everything I do. I hope to have the new adventure up tonight, but it may be as late as tomorrow night. Sorry about this folks.

Thursday, May 16, 2013

Adventures in Monotangles #11 – Fengle

Another week has gone by….

This one has been pretty good, aside from Tuesday, we do not speak of Tuesday. Well after the last month, being sick, pulling a Muscle in my back and bruising my ribs, my plans to start working out crumbled. Over the last week I have been able to resurrect it. I have cut soda out of my diet, and I have been bringing chopped salads to work for lunch.  

See…A chopped Salad!

I have also been making it to the Gym in the AM, to work on getting my lungs back into shape (growing up with two 3 pack a day smokers gave me very bad lungs.) The in the evening a few times a week I am either hitting the weights or playing racquet ball. I think I may add the 7 Minute workout in once a day also.  I am also thinking as a cool down before bed I am going to add in a 10-20 minute stretch routine.

Click here for info on the 7 Minute workout.

This weeks Adventure is designed to make me work my mind. Fengle, is a tangle, I love, but I almost always do it exactly the same. So when I chose it, I used more arm, made the lines thinner, shaded inside out, and added flourishes. I am pretty happy with the results.

Here is a Link to Tangle Patterns for the Fengle.

Here is my Tile.

Now it is your turn, get out there and Zentangle® away.

Thursday, May 9, 2013

Adventures in Monotangles #10 – HI-CS

Well, it has been another one of those weeks…

It started a week ago on Monday; I discovered that our Toilet was leaking. I had a full week, and plans for Saturday, so I put down a bucket to catch the slow drip, and plan on fixing last Sunday.  Well when I took it apart, the idiot who installed it used epoxy to glue down the front. This caused the front to crack, which is OK as it was cracked elsewhere.  However, this was an expense I was not planning on. Well as we had guests this weekend, I had parked downtown, so when I need to go get a new toilet (no one was home at the time.) So I got the new toilet, and got home to install it, and I was working on the cat ran under my feet, and in trying not to step on it, I tripped, and fell. As there was a shattered toilet in the tub I did my best to avoid it, but this resulted in my landing on my ribs right on the edge of the tub. Lucky for me I did not break my ribs but they are bruised.  This has been making any tangling difficult as it hurts to move my right arm. It is sad as I can use Zentangle® to help with pain, but when doing it causes pain it makes me sad.

I was able to at least get this this week’s adventure done.  I had lots of plans for week 10, but I am happy with what I done.  The tangle I decided on is both straight, and curved.  I did enjoy this Tangle, I hope you do also.

Here is the link to the tangle on Tangle patterns.

Here is my tile...

Thursday, May 2, 2013

Adventures in Monotangles #9 – ‘NZEPPEL

Well this is week nine, where does the tie go. This week has been interesting. Over the weekend I spent way too much time on, deciding which tangle to use this week. As number nine is one of my favorite numbers I wanted something special. Well yesterday I sat down, to do a tile for the adventure, and started tangling.  As can happen in Zentangle® what came out of my pen was not the Tangle I planned. So I will postpone the previously chosen tangle, and allow ‘Nzepple to be the pattern for this week. I really love Nzepple as a tangle, so I am in no way surprised this happened. I ended up doing a large tangle, then filled each section of the tangle with a smaller version of the tangle, I really like how this turned out.

If you have not done ‘Nzepple before, you can find out more about it Here.

And here is My ‘Nzeppel Zentangle® Tile!

Some of the reasons I like the number nine… (Yoinked from Wikipedia)

Nine is a composite number, its proper divisors being 1 and 3. It is 3 times 3 and hence the third square number. Nine is a Motzkin number. It is the first composite lucky number, along with the first composite odd number.

Nine is the highest single-digit number in the decimal system. It is the second non-unitary square prime of the form (p2) and the first that is odd. All subsequent squares of this form are odd. It has a unique aliquot sum 4 which is itself a square prime. Nine is; and can be, the only square prime with an aliquot sum of the same form. The aliquot sequence of nine has 5 members (9,4,3,1,0) this number being the second composite member of the 3-aliquot tree. It is the aliquot sum of only one number the discrete semiprime 15.
There are nine Heegner numbers.

Since 9 = 321, 9 is an exponential factorial.

8 and 9 form a Ruth-Aaron pair under the second definition that counts repeated prime factors as often as they occur.

In bases 12, 18 and 24, nine is a 1-automorphic number and in base 6 a 2-automorphic number (displayed as '13').

A polygon with nine sides is called a nonagon or enneagon] A group of nine of anything is called an ennead.
In base 10 a number is divisible by nine if and only if its digital root is 9. That is, if you multiply nine by any natural number, and repeatedly add the digits of the answer until it is just one digit, you will end up with nine:
2 × 9 = 18 (1 + 8 = 9)
3 × 9 = 27 (2 + 7 = 9)
9 × 9 = 81 (8 + 1 = 9)
121 × 9 = 1089 (1 + 0 + 8 + 9 = 18; 1 + 8 = 9)
234 × 9 = 2106 (2 + 1 + 0 + 6 = 9)
578329 × 9 = 5204961 (5 + 2 + 0 + 4 + 9 + 6 + 1 = 27; 2 + 7 = 9)
482729235601 × 9 = 4344563120409 (4 + 3 + 4 + 4 + 5 + 6 + 3 + 1 + 2 + 0 + 4 + 0 + 9 = 45; 4 + 5 = 9)

There are other interesting patterns involving multiples of nine:
12345679 x 9 = 111111111
12345679 x 18 = 222222222
12345679 x 81 = 999999999

This works for all the multiples of 9. n = 3 is the only other n > 1 such that a number is divisible by n if and only if its digital root is n. In base N, the divisors of N − 1 have this property. Another consequence of 9 being 10 − 1, is that it is also a Kaprekar number.
The difference between a base-10 positive integer and the sum of its digits is a whole multiple of nine. Examples:
The sum of the digits of 41 is 5, and 41-5 = 36. The digital root of 36 is 3+6 = 9, which, as explained above, demonstrates that it is divisible by nine.
The sum of the digits of 35967930 is 3+5+9+6+7+9+3+0 = 42, and 35967930-42 = 35967888. The digital root of 35967888 is 3+5+9+6+7+8+8+8 = 54, 5+4 = 9.
Subtracting two base-10 positive integers that are transpositions of each other yields a number that is a whole multiple of nine. Examples:
41 - 14 = 27 (2 + 7 = 9)

36957930 - 35967930 = 990000, a multiple of nine.
This works regardless of the number of digits that are transposed. For example, the largest transposition of 35967930 is 99765330 (all digits in descending order) and its smallest transposition is 03356799 (all digits in ascending order); subtracting pairs of these numbers produces:
99765330 - 35967930 = 63797400; 6+3+7+9+7+4+0+0 = 36; 3+6 = 9.
99765330 - 03356799 = 96408531; 9+6+4+0+8+5+3+1 = 36; 3+6 = 9.
35967930 - 03356799 = 32611131; 3+2+6+1+1+1+3+1 = 18; 1+8 = 9.

Casting out nines is a quick way of testing the calculations of sums, differences, products, and quotients of integers, known as long ago as the 12th Century.

Every prime in a Cunningham chain of the first kind with a length of 4 or greater is congruent to 9 mod 10 (the only exception being the chain 2, 5, 11, 23, 47).

Six recurring nines appear in the decimal places 762 through 767 of pi. This is known as the Feynman point.
If an odd perfect number is of the form 36k + 9, it has at least nine distinct prime factors.
If you divide a number by the amount of 9s corresponding to its number of digits, the number is turned into a repeating decimal. (e.g. 274/999 = 0.274274274274...)

Nine is the binary complement of number six:
9 = 1001
6 = 0110