#my math

[montmelo]

LANDO ENDED P10

1 = 1 0 = 0

P1 BELATED BIRTHDAY BOY LANDO NORRIS SO TRUE

[intuitionistic]

Vases and Mosaics

Recently, i was thinking about vases and mosaics. More specifically, how the artists working on these framed their art - literally. Around the rim of a vase and the focal point of the mosaic, there is often a geometric pattern running as a ribbon. I wanted to consider how the most satisfying patterns, in my opinion, are made.

I began by considering that most of these patterns, particularly the ones that I like, are exclusively made up of right angle, as if they are being drawn in a grid. Noticing also that since these patterns are repeating, i realized I could contain the entire design in a finite space: a rectangle or square.

At this point, I began to work forward. I began took squares and rectangles of whole unit lengths, dividing them into a grid, and drawing shapes inside them. I knew that this was far too crude and simple to yield anything, but I was merely trying to see a pattern between what I create and what I had seen before. I realized then that I was not just looking for any geometric band (of which there are obviously infinitely many), I was looking for ones with only one shape: the drawn space and the negative space should have the same shape.

This idea can be expressed in a couple different ways: the patterns I wanted to generate must have 180 degree rotational symmetry or they must be generated by a single shape periodically tiling a row. But there is a third option.

I was still intrigued by the idea that the design could be contained in a finite space. So I continued drawing. I called these finite spaces (often a small rectangle or square) "parents." Each of the squares of the grid that I drew inside them was a "constituent." There are also types of constituents determined by the parent's symmetry. Constituents A and B in locations A and B respectively have the same type if and only if after a symmetrical operation on the parent, Constituent A can be in Location B and Constituent B can be in Location A.

In order for a shape to achieve the tiling effect that I wanted, I determined that a shape drawn in the manner that I have been doing so must:

Be drawn in one continuous line

Contain no intersections

Start at a height on one side and end at the same height on the other

Touch the top and bottom of the parent shape

Contain exactly half of each type of constituent

If you follow all of these rules, you should be able to generate patterns of your own.

[after-nine-at-the-oasis]

executive dysfuntionnnnnn

[intoxicatedfandom]

It’s actually almost two years since FAE dumped Zayn.

Yes it is. My math skills continue to be sub-par. It seems to be a special problem with the years. Thanks!

[referendumnews-blog]

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[the-amalgamaker-blog]

Find out what Undertale Monster species you would be! (Algorithm)

First, take your first name and the first letter, last letter, and middle letter(s). We’ll make your first letter F, and your last letter L.

Each variable will be worth the amount of it’s placement in the alphabet.

Make your middle letter M. If there’s two, add them together then make that M.

Next, take the first two letters of your last name and treat it like M, but we’ll make that N.

Add all your birthday numbers together, then take one fourth of that, round it, and make that Y. (EX: 3/21/95 = 30)

Then do F-N=T, L+M=P, P-Y=O  O+T=U.

If U is negative, do the positive version of that number.

U= What monster you are! Look at the list below for the species. (I did it with names for ease of reference. Multiples are intentional.):

1: Undyne 2: Ice Cap 3: Naracat Jester 4: Loox 5: Lesser Dog/Greater Dog 6: Pyrope 7: Aaron 8: Ghost 9: Whimsun 10: Madjick 11: Shyren 12: Bratty 13: Goat 14: Woshua 15: Alphys 16: Snowdrake 17: Grillby 18: Doggo 19: Human 20: Temmie 21: Scarf Mouse 22: Shape Monsters 23: Robot 24: Astigmatism 25: Ice Wolf 26: Ferry 27: Catty 28: Vulkin 29: Muffet 30: Moldsmall 31: Vegetoid 32: Tsunderplane 33: Slime Monster 34: Skeleton 35: Monster Kid 36: Bunny 37: Shyren’s Agent 38: Tortoise 39: Froggit 40: Harpy 41: Manticore 42: Amalgamate 43: Ghost Dummy 44: Snail 45: Whimsalot 46: Dogamy/Doggeresa 47: Moldessa 48: Void Monster 49: Fox Head 50: Final Froggit 51: Bird 52: Moldybugg 53: Temmie 54: Slime-Eye Monster 55: Knight Knight 56: RG1 57: RG2 58: Nice Cream man 59: Yuku Fire 60: Burgerpants 61: River Person 62: Froggit 63: Ghost in Robot 64: Spider 65: Jerry

Reblog with your result!

[fandoms-and-randoms]

So, I can calculate medication rates and doses like nobody’s business, but I can’t count hours and minutes in my shift to realize I totally didn’t have a 6.25 hour shift today, so when I “skipped lunch” to leave half an hour early, I was actually cutting from 5.75 to 5.25.  Go me!