Drawing Trees with PStricks
|
|
|
- Cornelia Jacobs
- 6 years ago
- Views:
Transcription
1 Drawing Trees with PStricks Doug Arnold (L A TEX for Linguists) June 5, Introduction, Basics The PSTricks package has some very nice tools for drawing trees. Here is some minimal documentation. You can get PostScript documentation, and pdf. For fuller documentation, downloading, etc. see: especially the documentation on drawing trees: The PSTricks chapter of The LaTeX Graphics Companion, by Michel Goossens, Sebastian ahtz and Frank Mittelbach, Addison Wesley, 1997 The PSTricks chapter of TeX Unbound: LaTeX & TeX Strategies, Fonts, Graphics, and More, by Alan Hoenig, Oxford University Press, Beware, this package relies heavily on PostScript specials in the output. This means it only works properly with PostScript. Hence (a) users of pdf beware, not everything may work; in particular, it will not work if you use pdflatex, however, using ps2pdf to produce the pdf seems to work okay. (b) Users of DVI beware. what you see under xdvi may not be what you will ultimately get in particular, some things that are actually working will not look right under when viewed with xdvi, so always check the PostScript, e.g. with ghostview. Usage: in the preamble, put: \usepackage{pstricks,pst-node,pst-tree The command to make a tree is \pstree[settings]{ootnode{daughternodess, the oot node is formed with a command like \T, the terminal daughters are formed the same way. Daughters can also be trees (formed with \pstree). Here is a simple example: 1
2 ootnode.1.2 \pstree[]{\t{ootnode { \T{ \pstree{ \T{ { \T{.1 \T{.2 \T{ \T{ Alternatively, you can use a \begin{pstree...\end{pstree environment. The remainder of this document just consists of playing around with various parameters to achieve a variety of effects. 2 Simple Variations Increase the gap between levels of the tree with levelsep=n; leave more/less space around nodes with nodesep=n: Setting nodesep=2pt makes for a more pleasing gap between the node label and the branches: Node.1.2 \pstree[nodesep=2pt]{\t{node { \T{ \pstree{ \T{ { \T{.1 \T{.2 \T{ \T{ 2
3 Setting levelsep=5ex means there is only this much distance between the levels of the tree: Node.1.2 \pstree[nodesep=2pt,levelsep=5ex]{\t{node { \T{ \pstree{ \T{ { \T{.1 \T{.2 \T{ \T{ You can put labels on branches by adding \ncput, \tlput, or \trput commands in appropriate places (after the \T, for example). Of course, this may result in text going over the lines you may have to increase the separation between subtrees to fix this (I have not done this here):.1 Node.2 obj 2.3 \pstree[levelsep=5ex,nodesep=2pt]{\t{node { \T{\tlput{ \pstree{ \T{\trput{ { \T{.1\tlput{ \Tr{.2\trput{ \Tr{.3\trput{2 \T{\trput{obj Put nodes in circles with \Tcircle{Node, instead of \T:.1.2 \pstree[levelsep=8ex]{\tcircle{ { \Tcircle{ \pstree{ \Tcircle{ { \Tcircle{.1 \Tcircle{.2 \Tcircle{ 3
4 \Tcircle{ In the same way, you can get other shapes around nodes: diamonds (\Tdia[settings]{Node), ovals (\Toval[settings]{Node), triangles (\Ttri[settings]{Node). You can change the way branches are drawn in many ways, e.g. dotted lines:.1.2 \pstree{\tcircle{ { \Tcircle{ \pstree{ \Tcircle{ { \psset{linestyle=dashed \Tcircle{.1 \Tcircle{.2 \Tcircle{ \Tcircle{ (The command \psset, which sets this parameter, can appear anywhere, it has the scope you would expect). Here are some other kinds of node. This also shows how to get a subtree drawn under a triangle: draw a tree whose root is a triangle, and whose daughter is the material to go underneath; make the linestyle of this subtree none, put no ends on arrows, and make the level separation small. You have to make sure that the triangle is big enough, with the optional argument to \Tfan. material
5 \pstree[levelsep=20ex]{\toval{ { \Tdia{ \pstree{ \Tcircle{\ncput{ { \T{.1\tlput{ \Tr{.2\trput{ \Tr{.3\trput{2 \Toval{ \pstree[linestyle=none,arrows=-,levelsep=1ex]{\tfan[fansize=20ex]{\t{material \Ttri{ Here we put labels on arcs, and make the arcs themselves downwards pointing arrows, rather than lines, with arrows=->:.1.2 \psset{arrows=-> \pstree[levelsep=10ex]{\tcircle{ { \Tcircle{ \pstree{ \Tcircle{\tvput{ { \Tcircle{.1\tlput{ \Tcircle{.2\trput{ \Tcircle{ \Tcircle{ Notice the commands that label the branches come after the node at the end of the branch. The \ncput, \tlput, and \trput differ in where they put the label in relation to the branch: \tvput{something puts something in the middle of the branch (based on vertical distance between nodes) \taput{something puts something above the branch \tbput{something puts something below the branch \thput{something puts something in middle of the branch (based on horizontal distance between nodes) \trput{something puts something right of the branch \tlput{something puts something left of the branch 5
6 Turn the tree upside down (make it grow from bottom to top), with treemode=u: Notice that the labels are the same side of the line as before..1.2 \psset{arrows=-> \pstree[treemode=u,levelsep=10ex]{\tcircle{ { \Tcircle{ \pstree{ \Tcircle{\tvput{ { \Tcircle{.1\tlput{ \Tcircle{.2\trput{ \Tcircle{ \Tcircle{ Turn the whole thing on its side with treemode= (notice that we have changed \tlput to \taput, etc.) to fit with the orientation of the tree:.1.2 \pstree[treemode=,levelsep=12ex]{\tcircle{ { \Tcircle{ \pstree{ \Tcircle{\thput{ { \Tcircle{.1\taput{ \Tcircle{.2\tbput{ \Tcircle{ \Tcircle{ To use curves instead of straight lines, redefine \psedge: Here it is redefined, and the angle at which branches go into the daughter nodes is also adjusted, as is the separation between levels. 6
7 .1.2 \pstree[treemode=,levelsep=22ex,edge=\nccurve,angleb=180]{\tcircle{ { \Tcircle{ \pstree{ \Tcircle{\ncput{ { \Tcircle{.1\tlput{ \Tcircle{.2\trput{ \Tcircle{ \Tcircle{ 3 Non-local Tree Lines Nodes can be given names, and lines drawn between them. One of the drawing commands is \ncurve[settings]{arrows{ which draws a Bezier curve between the nodes from and to. The sharpness of the curve is controlled by the ncurv parameter. Higher values give sharper curves. ncurva controls the first part of the curve, ncurvb the second part. The parameter anglea says what angle to leave the from node (nothing means leave from the right; 90 means leave from the top, 180 from the left, so increased values take you further counter-clockwise). Parameters angleb does the same for the to node. The direction of the curve (hence the effect of increasing the value of ncurv) ends on this. In this example, the line from d3 has to leave from below, and arrive from below in order to clear the rest of the tree, it has to do this with a fairly high curve value. This gets to be quite intuitive after a while... Since these lines are drawn with PostScript, L A TEX does not know exactly how much space to leave for them. In the last example, one of the curves goes well outside where L A TEX thinks the material ends. To avoid it going over surrounding text, I have put it in a figure, and added a 5ex high strut \rule{0pt{5ex to make L A TEX think the figure is bigger than it actually is. 7
8 oot.1.2 \pstree[nodesep=2pt]{\t[name=]{oot { \T{ \pstree{ \T{ { \T{.1 \T{.2 \T[name=d3]{ \T[name=d4]{ \nccurve[linestyle=dotted,ncurv=3]{->{d4{ \nccurve[linestyle=dotted,anglea=290,angleb=200,ncurva=7,ncurvb=7]{->{d3{ \rule{0pt{5ex 8
TUGboat, Volume 22 (2001), No. 1/2 87
TUGboat, Volume 22 (2001), No. 1/2 87 Drawing Message Sequence Charts with L A TEX Sjouke Mauw and Victor Bos Abstract The MSC macro package facilitates L A TEX usersto easily include Message Sequence
Including Graphics in L A TEX Files
Including Graphics in L A TEX Files Duane Broline August 2, 2004 Contents 1 Purpose 2 1.1 ScreenShots using gimp...................... 2 1.1.1 Prerequisites........................ 2 1.1.2 Preamble.........................
Square cells: an array cooking lesson
The PracTEX Journal TPJ 2005 No 02, 2005-04-15 Rev. 2005-03-25 Square cells: an array cooking lesson Will Robertson 1 Square cells in tabular Late last year, there was a question on the Mac OS X TEX mailing
Semantics. Doug Arnold (L A TEX for Linguists) September 25, 2007
Semantics Doug Arnold (L A TEX for Linguists) September 25, 2007 1 Introduction TEX and L A TEX are very good at typesetting logic so typesetting most bits of semantics is very easy, just using the things
Introduction to Scientific Typesetting Lesson 12: Verbatim Text and Drawing in L A T E X
Introduction to Scientific Typesetting Lesson 12: and Drawing in L A T E X Ryan Higginbottom January 20, 2012 1 2 Writing About LAT E X (or other code) Typing Inline Rules for Inline Displayed Verbatim
We can use square dot paper to draw each view (top, front, and sides) of the three dimensional objects:
Unit Eight Geometry Name: 8.1 Sketching Views of Objects When a photo of an object is not available, the object may be drawn on triangular dot paper. This is called isometric paper. Isometric means equal
On a coordinate plane, such a change can be described by counting the number of spaces, vertically and horizontally, that the figure has moved.
Transformations We have studied four different kinds of transformations: translation, rotation, reflection, and dilation. Each one involves moving a figure to a new location on a plane. Translation Translation
Package epsdice a scalable dice font
Package epsdice a scalable dice font 2007/02/15 Version 2.1 Thomas Heim (thomas.heim@unibas.ch) 1 Introduction Dice fonts are already available in metafont format. (I should know, I wrote one myself: dice3d.mf.)
Let s Make a Front Panel using FrontCAD
Let s Make a Front Panel using FrontCAD By Jim Patchell FrontCad is meant to be a simple, easy to use CAD program for creating front panel designs and artwork. It is a free, open source program, with the
Name: Tutor s
Name: Tutor s Email: Bring a couple, just in case! Necessary Equipment: Black Pen Pencil Rubber Pencil Sharpener Scientific Calculator Ruler Protractor (Pair of) Compasses 018 AQA Exam Dates Paper 1 4
PSTricks News new macros and bugfixes for the basic packages pstricks, pst-plot, and pst-node Herbert Voß
PSTricks News - 2009 new macros and bugfixes for the basic packages pstricks, pst-plot, and pst-node January 30, 2009 Package author(s): Herbert Voß Contents 2 Contents I. pstricks package 3 1. General
3.7. Vertex and tangent
3.7. Vertex and tangent Example 1. At the right we have drawn the graph of the cubic polynomial f(x) = x 2 (3 x). Notice how the structure of the graph matches the form of the algebraic expression. The
Geogebra Introductory Activity
1. Logon to your computer. Geogebra Introductory Activity 2. Go to www.geogebra.org and in the middle of the page click on the picture (NOT THE DOWNLOAD BUTTON). This is a web applet that will load. Give
DC2 File Format. 1. Header line 2. Entity line 3. Point line 4. String line
DC2 File Format The DesignCAD DC2 drawing file is an ASCII file, with the data present in character format. Each "record" in the file is actually a line in a text file. There are four types of records,
ConTEXt. TPIC Conversion. category: ConTEXt Support Macros. version: date: March 19, author: Hans Hagen
ConTEXt TPIC Conversion category: ConTEXt Support Macros version: 1997.07.05 date: March 19, 1998 author: Hans Hagen copyright: PRAGMA / Hans Hagen & Ton Otten This modules implements the conversion of
4. Write sets of directions for how to check for direct variation. How to check for direct variation by analyzing the graph :
Name Direct Variations There are many relationships that two variables can have. One of these relationships is called a direct variation. Use the description and example of direct variation to help you
1 Some easy lines (2, 17) (10, 17) (18, 2) (18, 14) (1, 5) (8, 12) Check with a ruler. Are your lines straight?
1 Some easy lines Computers draw images using pixels. Pixels are the tiny squares that make up the image you see on computer monitors. If you look carefully at a computer screen with a magnifying glass,
The pict2e package. Hubert Gäßlein and Rolf Niepraschk 2004/08/06
The pict2e package Hubert Gäßlein and Rolf Niepraschk 2004/08/06 Abstract This package was described in the 2nd edition of L A TEX: A Document Preparation System, but the L A TEX project team declined
Direct Variations DIRECT AND INVERSE VARIATIONS 19. Name
DIRECT AND INVERSE VARIATIONS 19 Direct Variations Name Of the many relationships that two variables can have, one category is called a direct variation. Use the description and example of direct variation
Grade 6 Math Circles. Shapeshifting
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Plotting Grade 6 Math Circles October 24/25, 2017 Shapeshifting Before we begin today, we are going to quickly go over how to plot points. Centre for Education
L A TEX Document Formatting Examples
L A TEX Document Formatting Examples Gene Michael Stover created Thursday, 2005 May 19 updated Sunday, 2005 November 20 Copyright c 2005 Gene Michael Stover. All rights reserved. Permission to copy, store,
1
Zeros&asymptotes Example 1 In an early version of this activity I began with a sequence of simple examples (parabolas and cubics) working gradually up to the main idea. But now I think the best strategy
Tutorial 1 Engraved Brass Plate R
Getting Started With Tutorial 1 Engraved Brass Plate R4-090123 Table of Contents What is V-Carving?... 2 What the software allows you to do... 3 What file formats can be used?... 3 Getting Help... 3 Overview
Math 9: Chapter Review Assignment
Class: Date: Math 9: Chapter 7.5-7.7 Review Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which shapes have at least 2 lines of symmetry?
Earthwork 3D for Dummies Doing a digitized dirt takeoff calculation the swift and easy way
Introduction Earthwork 3D for Dummies Doing a digitized dirt takeoff calculation the swift and easy way Getting to know you Earthwork has inherited its layout from its ancestors, Sitework 98 and Edge.
Coils, springs and zigzag lines
pst coil: Coils, springs and zigzag lines Herbert Voß November 5, 2006 Abstract Coils, springs and zigzag curves do not really count to the ordinary when creating graphics. They are of some importance
6.001 Notes: Section 15.1
6.001 Notes: Section 15.1 Slide 15.1.1 Our goal over the next few lectures is to build an interpreter, which in a very basic sense is the ultimate in programming, since doing so will allow us to define
Generating Vectors Overview
Generating Vectors Overview Vectors are mathematically defined shapes consisting of a series of points (nodes), which are connected by lines, arcs or curves (spans) to form the overall shape. Vectors can
Characterization of the Northwest Coast Native Art Ovoid
Characterization of the Northwest Coast Native Art Ovoid By: Nathaniel P. Wilkerson July 10, 2010 Probably the most predominant design unit in the art work, the Ovoid takes many shapes and forms. In theory
Paint/Draw Tools. Foreground color. Free-form select. Select. Eraser/Color Eraser. Fill Color. Color Picker. Magnify. Pencil. Brush.
Paint/Draw Tools There are two types of draw programs. Bitmap (Paint) Uses pixels mapped to a grid More suitable for photo-realistic images Not easily scalable loses sharpness if resized File sizes are
Hello, world! 206 TUGboat, Volume 31 (2010), No. 2. resulting in: Drawing structured diagrams with SDDL Mathieu Bourgeois and Roger Villemaire
206 TUGboat, Volume 31 (2010), No. 2 Abstract We present SDDL, a Structured Diagram Description Language aimed at producing graphical representations for discrete mathematics and computer science. SDDL
Closed shapes with straight sides
41 Unit 6 and 7 Properties of 2D shapes Activity 1 Closed shapes with straight sides (polygons). Let s revise the 2D shapes you learnt about in Grade 5 Closed shapes with straight sides triangle quadrilateral
Art, Nature, and Patterns Introduction
Art, Nature, and Patterns Introduction to LOGO Describing patterns with symbols This tutorial is designed to introduce you to some basic LOGO commands as well as two fundamental and powerful principles
The Honours Dissertation Class for L A TEX2e. Cara MacNish
The Honours Dissertation Class for L A TEX2e Cara MacNish This report is submitted as partial fulfilment of the requirements for the Honours Programme of the School of Computer Science and Software Engineering,
PSTricks. A recursive alignment algorithm pst-tvz. Trees; v June 14, Package author(s): Timothy Van Zandt Herbert Voß
PSTricks A recursive alignment algorithm pst-tvz Trees; v.1.01 June 14, 2011 Package author(s): Timothy Van Zandt Herbert Voß Contents 2 Contents I. Using the package 3 1. Overview 4 2. Tree Nodes 4 3.
Unit 1, Lesson 1: Moving in the Plane
Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2
How to draw and create shapes
Adobe Flash Professional Guide How to draw and create shapes You can add artwork to your Adobe Flash Professional documents in two ways: You can import images or draw original artwork in Flash by using
Assignment 3 Functions, Graphics, and Decomposition
Eric Roberts Handout #19 CS106A October 8, 1999 Assignment 3 Functions, Graphics, and Decomposition Due: Friday, October 15 [In] making a quilt, you have to choose your combination carefully. The right
L322 Syntax. Chapter 3: Structural Relations. Linguistics 322 D E F G H. Another representation is in the form of labelled brackets:
L322 Syntax Chapter 3: Structural Relations Linguistics 322 1 The Parts of a Tree A tree structure is one of an indefinite number of ways to represent a sentence or a part of it. Consider the following
MET 107 Drawing Tool (Shapes) Notes Day 3
MET 107 Drawing Tool (Shapes) Notes Day 3 Shapes: (Insert Tab Shapes) Example: Select on the rounded rectangle Then use the mouse to position the upper left corner and produce the size by dragging out
Counter argument against Archimedes theory
Counter argument against Archimedes theory Copyright 007 Mohammad-Reza Mehdinia All rights reserved. Contents 1. Explanations and Links. Page 1-. Facts: Page 3-4 3. Counter argument against Archimedes
This group is dedicated to Modeler tools for Layout s FiberFX hair and fur system. For the Layout interface and controls see FiberFX
Fiber FX Click here to expand Table of Contents... FiberFX Strand Modeler Global Controls Fiber Tab Guides Tab Random Tab Gravity Tab Tools1 Tab Tools2 Tab Options Tab Strand Tool Strand Maker This group
The rtsched package for L A TEX (version 1.0)
The rtsched package for L A TEX (version 1.0) Giuseppe Lipari September 29, 2011 List of Figures 1 Two tasks, with deadline equal to period, RM scheduling.... 4 2 Using multido to avoid repetitions.................
Chapter 10 Working with Graphs and Charts
Chapter 10: Working with Graphs and Charts 163 Chapter 10 Working with Graphs and Charts Most people understand information better when presented as a graph or chart than when they look at the raw data.
Rational functions, like rational numbers, will involve a fraction. We will discuss rational functions in the form:
Name: Date: Period: Chapter 2: Polynomial and Rational Functions Topic 6: Rational Functions & Their Graphs Rational functions, like rational numbers, will involve a fraction. We will discuss rational
Algebra 2: Chapter 8 Part I Practice Quiz Unofficial Worked-Out Solutions
Algebra 2: Chapter 8 Part I Practice Quiz Unofficial Worked-Out Solutions In working with rational functions, I tend to split them up into two types: Simple rational functions are of the form y = a x h
EEPIC Extensions to epic and L A TEX Picture Environment Version 1.1
EEPIC Extensions to epic and L A TEX Picture Environment Version 1.1 Conrad Kwok Department of Electrical Engineering and Computer Science University of California, Davis Febrary 2, 1988 1 Introduction
How to create an animated face
Adobe Flash CS4 Activity 5.1 guide How to create an animated face This activity walks you step by step through the process of creating a simple animation by using Adobe Flash CS4. You use drawing tools
Goals: - to be able to recognize the position-time, velocity-time and acceleration-time graphs of each of these main types of motion:
Unit: One-Dimensional Kinematics Level: 1 Prerequisites: None Points to: Goals: - to be able to recognize the position-time, velocity-time and acceleration-time graphs of each of these main types of motion:
2.3 Circular Functions of Real Numbers
www.ck12.org Chapter 2. Graphing Trigonometric Functions 2.3 Circular Functions of Real Numbers Learning Objectives Graph the six trigonometric ratios as functions on the Cartesian plane. Identify the
Bezier Curves. An Introduction. Detlef Reimers
Bezier Curves An Introduction Detlef Reimers detlefreimers@gmx.de http://detlefreimers.de September 1, 2011 Chapter 1 Bezier Curve Basics 1.1 Linear Interpolation This section will give you a basic introduction
Peter Wilson Catholic University of America Now at 1999/02/13
The hyphenat package Peter Wilson Catholic University of America Now at peter.r.wilson@boeing.com 1999/02/13 Abstract The hyphenat package can be used to either disable hyphenation throughout a document
Select, Move, Rotate and Scale
Select, Move, Rotate and Scale In this tutorial we will cover the basic tools necessary for navigating, moving, and manipulating objects in 3DS Max. It is less of a how to tutorial and more of a guide
Manual for egameps.sty Version 1.11, March 2018 by Martin J. Osborne Revised
Manual for egameps.sty Version., March 208 by Martin J. Osborne martin.j.osborne@gmail.com Revised 208-3-8. Introduction egameps.sty is a L A TEX2e style file for drawing extensive games. It is intended
News new macros and bugfixes for the basic package pstricks. Herbert Voß. December 27, 2018
News - 2018 new macros and bugfixes for the basic package pstricks Herbert Voß December 27, 2018 1 2 Contents Contents I. pstricks package 3 1. pstricks.sty pstricks-pdf.sty 3 2. pstricks-tex.tex 3 3.
Two-Dimensional Waves
Two-Dimensional Waves In our previous lessons, we discussed one-dimensional waves waves that can only travel in straight lines, such as along the length of a spring. In this next part of the unit, we will
Sec 4.1 Coordinates and Scatter Plots. Coordinate Plane: Formed by two real number lines that intersect at a right angle.
Algebra I Chapter 4 Notes Name Sec 4.1 Coordinates and Scatter Plots Coordinate Plane: Formed by two real number lines that intersect at a right angle. X-axis: The horizontal axis Y-axis: The vertical
Detailed Contents for TEX Unbound: Strategies for Font, Graphics, and More
Bijlage L Contents TEX Unbound 41 Detailed Contents for TEX Unbound: Strategies for Font, Graphics, and More Alan Hoenig Abstract This book will be published by Oxford University Press in early 1997. Contact
Polar Coordinates. 2, π and ( )
Polar Coordinates Up to this point we ve dealt exclusively with the Cartesian (or Rectangular, or x-y) coordinate system. However, as we will see, this is not always the easiest coordinate system to work
Constraint Satisfaction Problems: A Deeper Look
Constraint Satisfaction Problems: A Deeper Look The last problem set covered the topic of constraint satisfaction problems. CSP search and solution algorithms are directly applicable to a number of AI
Making Science Graphs and Interpreting Data
Making Science Graphs and Interpreting Data Eye Opener: 5 mins What do you see? What do you think? Look up terms you don t know What do Graphs Tell You? A graph is a way of expressing a relationship between
file://c:\dokumente und Einstellungen\Lot\Lokale Einstellungen\Temp\~hhD434.htm
Seite 1 von 56 Welcome to splan 7.0 splan is an easy-to-handle and comfortable CAD-software, developed for electronic and electric circuit diagrams. Dragging and dropping components from the library to
Getting started with Latex
Getting started with Latex Robert G. Niemeyer University of New Mexico, Albuquerque October 15, 2012 What is Latex? Latex is a mathematical typesetting language. Essentially, when you are using Latex to
Name: Date: Per: WARM UP
Name: Date: Per: 6.1.1-6.1.3 WARM UP 6-23. In the last three lessons, you have investigated rigid transformations: reflections, rotations, and translations. 1. What happens to a shape when you perform
Name: Date: Multimedia Graphics and Web Publishing Mr. Dietzler. Flash Topics TWEENING AND MOTION GUIDES
Name: Date: Multimedia Graphics and Web Publishing Mr. Dietzler Flash Topics TWEENING AND MOTION GUIDES TWEENING: Motion Tweening: The most basic type of tweening is Motion Tweening in which you specify
On the Web sun.com/aboutsun/comm_invest STAROFFICE 8 DRAW
STAROFFICE 8 DRAW Graphics They say a picture is worth a thousand words. Pictures are often used along with our words for good reason. They help communicate our thoughts. They give extra information that
Introduction to Scientific Typesetting Lesson 7: Graphics and Floats
Introduction to Scientific Typesetting Lesson 7: Graphics and Ryan Higginbottom January 13, 2012 1 2 3 Vector Graphics drawn using geometrical objects, like lines, polygons, circles; image information
PSTricks. News new macros and bugfixes for the basic package pstricks. September 5, Package author(s): Herbert Voß
PSTricks News - 2011 new macros and bugfixes for the basic package pstricks September 5, 2011 2011 Package author(s): Herbert Voß Contents 2 Contents I. pstricks package 3 1. General 3 2. pstricks.sty
4.G.1. Name Date. Geometry. Use the figure below to answer questions Draw an intersecting line through the line below. E H
Name Date ssessment 1 4.G.1 questions 1-3. 5. Draw an intersecting line through the line below. E H B C D G F 6. Draw a perpendicular line through the set of lines below. 1. Name a pair of parallel lines.
PSTricks. pst2pdf. Running a PSTricks document with pdflatex; v October 4, Package author(s): Herbert Voß Pablo González Luengo
PSTricks pst2pdf Running a PSTricks document with pdflatex; v. 0.18 October 4, 2017 Package author(s): Herbert Voß Pablo González Luengo 2 Contents Contents 1 Introduction 3 2 Requirements 3 2.1 Programs
Dowker Notation and Arc Presentation
Dowker Notation and Arc Presentation Jennifer Waters Department of Mathematics California State University- Channel Islands Camarillo, Ca 93012 August 18, 2009 Abstract In this paper we will discuss Cubic
Kuratowski Notes , Fall 2005, Prof. Peter Shor Revised Fall 2007
Kuratowski Notes 8.30, Fall 005, Prof. Peter Shor Revised Fall 007 Unfortunately, the OCW notes on Kuratowski s theorem seem to have several things substantially wrong with the proof, and the notes from
Constructing a Pentagon from a Circle, in Google SketchUp
Constructing a Pentagon from a Circle, in Google SketchUp There is a very nice animation of how a pentagon can be created from a circle on this Wikipedia page: http://en.wikipedia.org/wiki/file:pentagon_construct.gif
Documentation for colortab: Shading and coloring TEX tables, v. 1.0
Documentation for colortab: Shading and coloring TEX tables, v. 1.0 Timothy Van Zandt tvz@princeton.edu May 13, 2010 Contents 1 Introduction 1 2 TEX s halign primitive 2 3 LATEX array environments 4 4
UV Mapping to avoid texture flaws and enable proper shading
UV Mapping to avoid texture flaws and enable proper shading Foreword: Throughout this tutorial I am going to be using Maya s built in UV Mapping utility, which I am going to base my projections on individual
Mini-Project 1: The Library of Functions and Piecewise-Defined Functions
Name Course Days/Start Time Mini-Project 1: The Library of Functions and Piecewise-Defined Functions Part A: The Library of Functions In your previous math class, you learned to graph equations containing
8 Project # 2: Bézier curves
8 Project # 2: Bézier curves Let s say that we are given two points, for example the points (1, 1) and (5, 4) shown in Figure 1. The objective of linear interpolation is to define a linear function that
6.001 Notes: Section 31.1
6.001 Notes: Section 31.1 Slide 31.1.1 In previous lectures we have seen a number of important themes, which relate to designing code for complex systems. One was the idea of proof by induction, meaning
12.4 Rotations. Learning Objectives. Review Queue. Defining Rotations Rotations
12.4. Rotations www.ck12.org 12.4 Rotations Learning Objectives Find the image of a figure in a rotation in a coordinate plane. Recognize that a rotation is an isometry. Review Queue 1. Reflect XY Z with
Plot four points A, B, C and D on the grid to make a rectangle ABCD of length 6 cm and width 4 cm. (2)
Q1. (a) Here is a centimetre grid. Plot four points A, B, C and D on the grid to make a rectangle ABCD of length 6 cm and width 4 cm. (2) (b) Tick whether each statement is always true, sometimes true
Applications. 40 Shapes and Designs. 1. Tell whether each diagram shows an angle formed by a wedge, two sides meeting at a common point, or a turn.
Applications. Tell whether each diagram shows an angle formed by a wedge, two sides meeting at a common point, or a turn. a. b. c. 2. Give the degree measure of each turn. a. One right-angle turn b. Four
TIMSS 2011 Fourth Grade Mathematics Item Descriptions developed during the TIMSS 2011 Benchmarking
TIMSS 2011 Fourth Grade Mathematics Item Descriptions developed during the TIMSS 2011 Benchmarking Items at Low International Benchmark (400) M01_05 M05_01 M07_04 M08_01 M09_01 M13_01 Solves a word problem
FRACTALS ROCK: Investigating The Fractal Tree
FRACTALS ROCK: Investigating The Fractal Tree Keyword: Fractal (Fractal Tree) Macros Fractals: A figure generated by repeating a special sequence of steps infinitely often. Fractals often exhibit self-similarity
Chapter 2 - Graphical Summaries of Data
Chapter 2 - Graphical Summaries of Data Data recorded in the sequence in which they are collected and before they are processed or ranked are called raw data. Raw data is often difficult to make sense
PSTricks. News new macros and bugfixes for the basic package pstricks. June5, Package author(s): Herbert Voß
PSTricks News - 2012 new macros and bugfixes for the basic package pstricks June5, 2012 2012 Package author(s): Herbert Voß Contents 2 Contents I. pstricks package 3 1. General 3 2. pstricks.tex (2.29
R(-14, 4) R'(-10, -2) S(-10, 7) S'(-6, 1) T(-5, 4) T'(-1, -2)
1 Transformations Formative Assessment #1 - Translation Assessment Cluster & Content Standards What content standards can be addressed by this formative assessment? 8.G.3 Describe the effect of dilations
The Game of Criss-Cross
Chapter 5 The Game of Criss-Cross Euler Characteristic ( ) Overview. The regions on a map and the faces of a cube both illustrate a very natural sort of situation: they are each examples of regions that
The Rectangular Problem
C h a p t e r 2 The Rectangular Problem In this chapter, you will cover the following to World Class standards: The tools for simple 2D Computer Aided Drafting (CAD) The Command Line and the Tray The Line
The isorot Package User Manual
The isorot Package User Manual Peter Wilson peter.r.wilson@boeing.com 15 February 2000 Abstract The facilities in the isorot package are described. The package was initially designed for use with the iso
Name Course Days/Start Time
Name Course Days/Start Time Mini-Project : The Library of Functions In your previous math class, you learned to graph equations containing two variables by finding and plotting points. In this class, we
Objective: Use attributes to draw different polygons including triangles, quadrilaterals, pentagons, and hexagons. (7 minutes) (5 minutes)
Lesson 3 2 8 Lesson 3 Objective: Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time (12 minutes) (6 minutes) (32 minutes) (10 minutes) (60 minutes)
Prezi.com: The Zooming Presentation Editor. Created by Russell Smith Technology Facilitator North Edgecombe High School
Prezi.com: The Zooming Presentation Editor Created by Russell Smith Technology Facilitator North Edgecombe High School What is Prezi.com? Prezi.com is a website that allows you to create and customize
Google LayOut 2 Help. Contents
Contents Contents... 1 Welcome to LayOut... 9 What's New in this Release?... 10 Learning LayOut... 12 Technical Support... 14 Welcome to the LayOut Getting Started Guide... 15 Introduction to the LayOut
Graphics with TikZ. Eastern Illinois University. From the SelectedWorks of Andrew Mertz
Eastern Illinois University From the SelectedWorks of Andrew Mertz 2007 Graphics with TikZ Andrew Mertz, Eastern Illinois University William Slough, Eastern Illinois University Available at: https://works.bepress.com/andrew_mertz/3/
Objective: Use attributes to draw different polygons including triangles,
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 3 2 8 Lesson 3 Objective: Use attributes to draw different polygons including triangles, Suggested Lesson Structure Fluency Practice Application Problem Concept
TANGENTS. A link is the harmonious union point of curves with straight or curved corners. Links are the practical application of tangents.
TANGENTS Two elements are tangent when they have a common point called the point of tangency. These elements are circles (or circumference arcs, in some cases also conic curves) and straight lines. A link
Beginning Paint 3D A Step by Step Tutorial. By Len Nasman
A Step by Step Tutorial By Len Nasman Table of Contents Introduction... 3 The Paint 3D User Interface...4 Creating 2D Shapes...5 Drawing Lines with Paint 3D...6 Straight Lines...6 Multi-Point Curves...6
1. New document, set to 5in x 5in, no bleed. Color Mode should be default at CMYK. If it s not, changed that when the new document opens.
art 2413 typography fall 17 software review This exercise will reacquaint students with Adobe Illustrator, Photoshop, and InDesign. These are the three main design programs used by the industry. There
Section 4.4: Parabolas
Objective: Graph parabolas using the vertex, x-intercepts, and y-intercept. Just as the graph of a linear equation y mx b can be drawn, the graph of a quadratic equation y ax bx c can be drawn. The graph
Tutorial VCarving Christmas Decorations
Getting Started With Tutorial VCarving Christmas Decorations VCarve Pro Disclaimer All CNC machines (routing, engraving, and milling) are potentially dangerous and because Vectric Ltd has no control over