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45 Articles that Union these categories:

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Articles with Category fractal / sierpinski / writing / logo (45…)

Dragon Curve

fractal curve logo chaos

The Dragon Curve or Dragon Fractal is a nifty little shape! Here are the first 12 iterations. You see the dragon shape begin to emerge. I've put a red dot before each one, so you can see how it doesn't always go forward right away. ;export dragon to dragon :count :length :angle…

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Fern Fractal

fractal logo chaos

A simple self-similar fractal. Similar to a Tree — in particular it's very similar to the Pine, but with a tilt before drawing the next segment. to fern :segment :curve :angle1 :angle2 :ratiobranch :ratiostem :limit penwidth :segment/4 ifelse :segment>:limit [ color [60 40 20] r…

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FlowSnake

fractal curve logo gosper chaos

The flowsnake, also known as the 'Peano-Gosper' curve is a rather dashing space-filling curve. There is also a demonstration of it on the space-filling curves page. The following implementation uses 'mutual recursion' - i.e. two methods that call each other. The flowsnake has t…

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Fractal

category fractal chaos

Fractals are mathematical sets that exhibit self-similarity at different scales. Why are they called 'Fractals'? Because they are not exactly two dimensional (or three dimensional or four dimensional or one dimensional) they have a 'fractional dimension' (like 2.5)…

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Harriss Spiral

logo geometry spiral fractal grimoire chaos

Few spirals are as beautiful as the Harriss spiral. to curve :length pu lt 45 fd :length/2 * sqrt(2) rt 90 pd penwidth :length/15 arc :length/2 * sqrt(2) 90 pu fd :length/2 * sqrt(2) lt 90 lt 45 rt 90 pd end to harriss :length :limit if :length > :limit [ color [200…

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Hilbert Curve

logo fractal curve hilbert

Perhaps the best known Space Filling Curve is the Hilbert Curve. to hilbert :count :size :angle if :count > 0 [ rt 90*:angle hilbert (:count - 1) :size (:angle * (0-1) ) fd :size rt 90*:angle * (0-1) hilbert (:count - 1) :size :angle fd :size hilbert (:count - 1) :size :…

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Koch Curve

fractal curve logo

A Koch curve is a well-known fractal, first described by a Swedish Mathematician, Helge Von Koch, in his paper "Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire". Put three Koch curves together in a triangular configuration and you have…

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Koch Snowflake

fractal curve logo

In the article on Koch Curves we derived the famous koch-curve, by starting with a line, then a bumpy-line, then a self-similar recursive bumpy-line. The final result looked like this: to koch_curve :length :limit ifelse :limit = 0 [ fw :length ] [ koch_curve :length/3 :limit -…

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Mandelbrot Set

from: twitter Reference - Wikipedia: Mandelbrot set - About Fractal Theory - MandelMacro - The Mandelwat set…

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Recursion

recursion fractal chaos

This page is an example of bound recursion. If you've already read this page, please stop reading now. Otherwise, please continue. To be useful, recursion needs to have boundary conditions, base cases, exits, limitations: things that stop it from running on forever and ever and…

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Sierpinski Carpet

fractal curve logo sierpinski chaos

Sierpinski didn't just mess around with triangles, he also wrote 50 books (all of them flip-books of Sierpinski triangles, I assume), created a curve and finally — the highlight of his storied career — he released this: his Sierpinski Signature Edition Carpet design. A short war…

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Sierpinski Curve

fractal curve logo sierpinski

to half_sierpinski :size :level ifelse :level = 0 [ forward :size ] [ half_sierpinski :size :level - 1 left 45 forward :size * sqrt 2 left 45 half_sierpinski :size :level - 1 right 90 forward :size right 90 half_sierpinski :size :level - 1 left 45 forward :size * …

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Sierpinski Polygon

logo fractal geometry math sierpinski

A Sierpinski triangle is the result of this line of thinking: To draw a Sierpinski triangle just draw three smaller Sierpinski triangles. (Unless the shape is too small... then just draw a regular triangle). What if we make the number 3 a parameter, :side, so that we create Sie…

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Sierpinski Triangle

fractal curve logo sierpinski chaos geometry triangle

Anything that's covered here is almost definitely covered in a very well known webpage, The Sierspinski Triangle Page to End Most Sierspinski Triangle Pages but regardless, I must press on. Let's draw a triangle. to triangle :length fd :length lt 120 fd :length lt 120 fd :…

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Space Filling Curves

fractal curve logo chaos

Space-filling curves! Amazing things. Peano sat around thinking and thinking, What was he thinking? He was thinking: I wonder, I wonder, I wonder! Can I draw a continuous line that touches every single point of the unit square, exactly once? (i.e. it never crosses itself!) No…

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Tree Fractal

fractal logo chaos

A simple self-similar fractal. Similar to a Fern Here's one that bifurcates at every iteration. By altering the angle of the branches we get completely different shapes. Topologically identical, but visually very different. ;export tree to tree :length :branches :angle :ratio …

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Unbounded Recursion

recursion fractal meta grimoire vonnegut pink floyd siphonaptera lisp einstein hawking feynman grace hopper

Please see Unbounded Recursion (Alternatively see Recursion where you can learn about applying bounds to your recursion, or detecting cycles in referential data structures) there is no general method to determine whether a given program will ever halt or will run forever; this …

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Hieroglyphic Shells

stub apophenia sierpinski

"Lioconcha hieroglyphica" these venus shells with the squiggle writing make the head go Wot? Images from this imgur gallery References - imgur gallery - Wikipedia: Lioconcha hieroglyphica…

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How to write like P.G.Wodehouse

wodehouse stub writing

There are many rules one must follow if one wishes to write like P.G.Wodehouse. The first of these is: Never write: Pop Bassett was surprised, Aunt Dahlia was resolved, and Constable Oates appeared vexed. ...when, to save paper, ink, and time you can simply write: Pop Basset…

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Henry Porter

dylan writing music cento movies o henry

The only thing we knew for sure about Henry Porter is that his name wasn't Henry Porter — Bob Dylan and Sam Sheppard, Brownsville Girl LOAD FACT: "Henry Porter" was not the “real name” of writer “O. Henry” Understood. LOAD FACT: "William Sydney Porter" was not the "real name"…

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Joke Genious

meta grimoire humor writing fiction

The secret source of humor itself is not joy but sorrow. —Famous Smart Alec, Samuel Clemens Explaining a joke can only ever make it funnier Analyzing a joke is like dissecting a frog, in the end they both die. —Woody Allen I used to believe that jokes stopped being funny when …

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Writing Rules

writing grimoire o henry vonnegut pixar orwell elmore leonard hemingway henry miller bradbury stephen king zadie smith gaiman margaret atwood

Write what you like; there is no other rule. — O. Henry Rules for writers, from writers. One of the first blog posts I wrote on secretGeek was "How to write a novel". This was an entirely tongue in cheek article with advice on what *not* to do. A lot of people read it, and it w…

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The Magic of the Blues Brothers

stub magic music writing movies movie magical realism urban fantasy

The Blues Brothers, apart from being a masterpiece, is a work of Magical Realism. It combines gritty urban cinematography, with an unreal sense of wonder. The opening scenes work to make this an utterly real setting. The meticulous locking and unlocking of prison gates. The ted…

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What is 'a remembrance of things past' about? What is the plot?

stub literature france writing grimoire spoilers proust book involuntary memory

ah -- it takes me back the smell of this biscuit. this is how the book begins -- and right now -- the thought of the opening of 'a remembrance of things past' or 'in search of lost time' -- invokes in me a stirring of a strange memory of having recently seen an episode of "the…

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L-Space

stub writing grimoire n space liminal

Libraries exist in a transdimensional manifold - take a wrong turn in the stacks and you may go from library A to library B - seamlessly crossing both space and time - turn down another corridor and you may wind up in 2B-space - a coextensive manifold that interweaves connects an…

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Time Travel Models

stub time travel grimoire movies fiction writing

There are various ways that time-travel is described in stories and in physics. - Some of these differ in how paradoxes are (or are not) resolved. - Some differ in the physical limitations they impose.1 There are various meta-studies and attempted catalogs of the entire field. …

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Fan Theories

stub psyops writing grimoire movies d i d apophenia head canon

There's a long long tradition, dating back at least five years, of reimagining a movie to have a different premise, generally in which one or all characters are dead, imaginary, or linked in an unexpected way, possibly involving time-travel. "This amazing pixar fan theory" -- Pi…

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Dialogue in fiction

stub writing grimoire fiction wabi sabi

Dialogue is a conversation between two people. Jill: How are you Jack? Jack: I'm good, Jill and you? Jill: Not good Jack. Not good at all. Dialogue in fiction should be *indirect.* Dialogue often has to do two or three things at once. - It may have to reveal facts. (This is …

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The enchanted loom

stub history fiction writing

Every thread of history reveals another layer of the tapestry of our existence The great topmost sheet of the mass, that where hardly a light had twinkled or moved, becomes now a sparkling field of rhythmic flashing points with trains of traveling sparks hurrying hither and thit…

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Story Layers

writing fiction grimoire movies wreck it ralph save the cat

I've worked out a proper grand unified theory of story telling, and it's much simpler than all the old theories. The Search for the Grand Unified Theory of Story Telling Some people analyze stories and say things like: There's a plot, and there's a story. The plot is just what…

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Characters in Fiction

writing fiction grimoire movies save the cat

Writing a book and struggling to make either a good book or powerful characters? I have original and useful ideas. Possibly wrong, but definitely helpful. What are characters for? In the book "How to Write a Damn Good Novel", James Frey says: Characters are to a novelist what…

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Missing Mothers

fiction trope writing movies missing person

A moment of silence for all of the fictional mothers that had to die in the name of tragic back story and character development. — @ *Snape* on Mother's Day 2015 This is something my kids have noticed. It seems like every movie we show them: the mother is dead, sick or missing. …

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Creating a book

writing self publishing

This article deals with self-publishing a book, in a variety of forms. It covers writing, editing, proofreading, and has technical points on preparing a manuscript. Writing itself Before you can publish it you have to write it. There are two ways you can do this: write it your…

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The Pride of the Woosters

stub writing literature wodehouse wooster

A Character Study of Bertram Wooster. P.G. Wodehouse has created numerous characters with a range of attributes - and I ought to catalog as many as I can in this short life allotted to me. The tragedy of someone like Wodehouse is that his output was so prolific that in a normal…

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Writing a Mystery Novel

writing grimoire

It is hard to find practical guides to doing anything magical. Magicians don't like to reveal where to place the hinges or what to feed your pet dove. So I like it when an article gives away the secrets, like this one: Charles Finch: "Writing Great Mystery Plots" Here's the kern…

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Making Prose Poetic

stub writing music grimoire

Writing can sing. Writing can soar. How do writers elevate their craft to carry you along with their words? I've never known, until I read this: This sentence has five words. Here are five more words. Five-word sentences are fine. But several together become monotonous. Listen t…

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The Action Hero Theory

stub writing fiction

There are two kinds of male action heroes -- the tough guy and the pretty boy. The key to the tough guy is not what he does to other people but what other people do to him. In particular: he can take a punch. The defining feature of action hero stories is that the hero *does* …

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The 32 People You Meet In Heaven, Hell and Everywhere Else

stub writing fiction psychology

Consider the The Big Five Personality Traits, i.e. - Openness to experience (inventive/curious vs. consistent/cautious) - Conscientiousness (efficient/organized vs. easy-going/careless) - Extraversion (outgoing/energetic vs. solitary/reserved) - Agreeableness (friendly/compassion…

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Triangle

logo geometry triangle category

I wanted to draw a triangle, so I sat down on the ground and thought about it for a while. When it all comes down to it. What it is, you see. How it works. Well a triangle has. It has 3. - 3 points. - 3 corners. - 3 angles. It's 3 lines really. So I want to draw 3 lines. The …

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Penrose Triangle

stub logo geometry triangle

"Mr Escher's office please" "Up the stairs, keep turning right" —@MooseAllain In Real Life Cartoon —New Yorker Cartoon By Robert Leighton Logo Version to piece :size lt 60 fd :size lt 120 fd (3* :size) lt 120 fd (4 * :size) lt 60 fd (1* :size) lt 120 fd (3* :size)…

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Polygon

I remember a maths teacher saying to me, "It's amazing how clear it is, when you use Logo, that a circle is just a polygon with an infinite amount of sides" In that spirit, here's a simple formula for a polygon. Repeat {sides}: Forward {length}, Right Turn 360/{sides}. I tried…

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Reuleaux Triangle

geometry logo grimoire

**warning Once you learn about the Reuleaux Triangle you may start to see it everwhere! In buildings, in coffee tables, in kids playground equipment, in beer logos... Reuleaux Rules Our World!** Ever wanted to drill a square-hole? Is it possible to build a drillbit that would p…

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Spirals

logo geometry spiral

Swirls and spirals appear in nature in all kinds of places. In the seeds of a sunflower, in the vortex of a hurricane, in the horns of a goat, in the shell of a snail, in the curling fronds of a fern, in this guy's beard. . In this totally naturally occurring jetty: Spirals in…

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Penrose Tiling

geometry stub logo

A famous non-repeating tiling pattern, invented (discovered.) by Roger Penrose, a giant in the worlds of mathematics and floor-coverings. The following logo program produces a penrose tiling. I found this at http://logo.twentygototen.org/E3_yJcQ4. I haven't looked through it en…

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Bubble Sort

sort algorithms logo

Bubble sort is the first sorting algorithm that you learn in many algorithm classes. It's not a particularly fast technique, so it's never really used in practice. And generally if you're writing your own sorting algorithm instead of relying on one that your platform provides th…

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