This line may also be called a sleeping straight line that parts an image or shape into identical halves. A letter A will (usually) have a vertical line going through its center where the A is the . Now search for the letters with a vertical axis of symmetry (letters that have the sameshape on the left as on the right, like M, A and O). The longest such word, with ten letters, is OKEECHOBEE. Sign up for our free web site updates here. For Horizontal Symmetry, initialize one pointer i = 0 and another pointer j = N - 1. If a line lies in a vertical plane, then the line is vertical 2. A selection of vertical alignment options will appear. These cookies will be stored in your browser only with your consent. A circle has infinitely many lines of symmetry: any diameter lies on a line of symmetry through the center of the circle. Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. 3 has one horizontal line of symmetry if we draw the top and bottom both equal size. Which English letters have vertical lines symmetry? 1455 Quebec Street 7) When biologists say that something has " radial symmetry ", what do they really mean? However, lowercase h and i break the double symmetry. Image by Peter H from Pixabay. Can your partner solvethe word without using a mirror? The lines may vertical, horizontal, or diagonal lines. CHECKBOOK, provided it is written in upper case letters, is the longest word in the English language with a line of horizontal symmetry. This means that the line divides the shapes into two parts as mirror images. H-If you fold this on top of eachother Which of the following has a horizontal line of symmetry? For example, the following shape can be split into two identical halves by a standing straight line. If an object looks the same when you turn it upside down, then it is said to have point symmetry. Such a figure is said to be Symmetrical. (There are no vowels in the bottom row.) The letters, N, Z, and S also share that property. Don't forget there is the fourth dimension: time. When an object is rotated in a particular direction, around a point, then it is known as rotational symmetry, also known as radial symmetry. Line symmetry is usually named by the line where you would put a mirror, showing how the two sides of the shape are reflections of each other. What is the longest word in the English language? An object and its image are symmetrical with reference to its mirror line. He has a rectangular photograph made of dimensions 10 inches (width) by 14 inches (length) as a gift for his parents. Which alphabet has horizontal symmetry line? Which is the reason you may not find a word corresponding to the third dimension along with horizontal and vertical. The other thing that is important to say is that the words horizontal and vertical don't just mean straight. The Diagonal Line of Symmetry Next, click the Center Alignment icon in the Paragraph group of the Home tab. A shape is said to be symmetric if it can be divided into two more identical pieces which are placed in an organized way. A word with horizontal symmetry is one whose letters are a mirror image of themselves. Draw an imaginary vertical line at the center of your composition. In this activity, students look for symmetry in letters of the alphabet. In geometry, there are many shapes that depict rotational symmetry. No, the line of symmetry cannot be parallel. Closely related to palindromes, symmetrical words are words that have an axis of symmetry, or point of rotational symmetry. Create puzzles byusing half-letters to spell out words for a partner to solve, with or without a mirror. Symmetry Figures A to Z English Alphabet explained in details with some different Questions Watch on What are the highest-scoring Scrabble words? According to the rules of traditional lines of symmetry, an object or image is said to have vertical symmetry if a vertical (upright) line can pass through the center of the image and create two identical halves. What is the formula for calculating solute potential? This means that the bottom of the letters is a reflection of the top. The word OHIO is symmetrical in all three senses, because each letter displays horizontal, vertical, and rotational symmetry. Explain that rotational symmetry, seen daily by the students when they look at flowers, domes, round grates and many other objects in their surroundings. (c) The following letters have no lines of symmetry: F, G, J, L, N, P, Q, R, S, and Z. CHECKBOOK, provided it is written in upper case letters, is the longest word in the English language with a line of horizontal symmetry. Free solutions for NCERT Solutions - Mathematics, Class 7 Chapter 15 - Symmetry Exercise 14.1 question 7. The word horizontal is derived from the word horizon. These cookies ensure basic functionalities and security features of the website, anonymously. And could you tell me what you mean when you say "printed vertically" and "printed horizontally"? Mirror-symmetric objects have at least one line of symmetry, a line along which the figure can be folded into two precisely matching parts, parts that are mirror images of each other. Similarly, a regular pentagon when divided as shown in the image below, has one part symmetrical to the other. Diagonal Line of Symmetry. Reflective symmetry, also called mirror symmetry, is a type of symmetry where one half of the object reflects the other half of the object. The horizontal mirror image just begs to be balanced in terms of a perfectly straight horizontal line and enough space in the frame to show the reflection properly. To align text vertically on a page, head over to the Layout tab and select the small icon in the bottom-right corner of the Page Setup group. The same study showed the words most frequently misspelled (by gross count) to be: RECEIVE, A LOT, AMATEUR, SEPARATE, REALIZE, THEIR, DEFINITE, INDEPENDENT, WEIRD, EMBARRASS, ARGUMENT, NO ONE, ACQUIRE, ACCIDENTALLY, OCCURRENCE, COLLECTIBLE, RIDICULOUS, MANEUVER, LIAISON, GAUGE, ATHEIST, GRAMMAR, SUPERSEDE, KERNEL, and CONSENSUS. If an object does not have symmetry, we say that the object is asymmetrical. Horizontal Symmetry. Do you know anyone else who would enjoy this? Necessary cookies are absolutely essential for the website to function properly. In other words, your scene should reflect across a horizon-like line. The heart carved out is an example of symmetry. His sister has wallet-sized photos with a width of 2.5 inches made of the same photograph. The line of symmetry is a line that divides an object into two identical pieces. Whats a word that has a line of symmetry? The longest words with vertical symmetryare OTTO, MAAM, and TOOT. Which alphabet has horizontal line of symmetry? Vertical symmetry is found in the letters A, H, I, M, O, T, U, V, W, X and Y. 3) Three mutually perpendicular planes of reflection symmetry. Some long words with horizontal symmetry are: BEDECKED, BOOHOOED, CHECKBOOK, CODEBOOK, COOKBOOK, DECIDED, DIOXIDE, DOBCHICK, EXCEEDED, HOODOOED, and KEBOBBED. Do you know anyone else who would enjoy this? Your program must read the word one character at a time and determine what kind(s . . A vertical line has a slope that is undefined. The cookies is used to store the user consent for the cookies in the category "Necessary". If an object is moved from one position to another, with the same orientation in the forward and backward motion, it is called translational symmetry. You can ask a new question or browse more Math questions. ACCEDED, CABBAGE, BAGGAGE, DEFACED, EFFACED, and FEEDBAG are seven-letter words which can be played on a musical instrument, that is to say they contain only letters in the range A-G. CABBAGED, at eight letters, is the longest such word. How does violence against the family pet affect the family? Create symmetrical words using these letters (for example, BOB). As we know, when an object is exactly the same when you turn it or flip it, that object has symmetry. Some letters lines of symmetry only apply to their capital forms. Symmetrical Words Another symmetry that children sometimes use in their Pattern Block designs is Rotational Symmetry. A figure has rotational symmetry if some rotation (other than a full 360 turn) produces the same figure. Therefore, it shows reflection symmetry. This material is based upon work supported by the National Science Foundation under NSF Grant No. In geometry, a horizontal line is one which runs from left to right across the page. Letters that have vertical lines of symmetry include A, M, T, U, V, W and Y. A line of symmetry is an axis along which an object when cut, will have identical halves. This means thatthe right side is a reflection of the left.Some vertically symmetrical words are: Science World | Alphabet Symmetry Template PDF. 2 has no symmetry. By clicking Accept All, you consent to the use of ALL the cookies. Per student: Pencil. In such a case, the line of symmetry is vertical. A diagonal line of symmetry divides a shape into identical halves when split across the diagonal corners. Which word has a horizontal line of symmetry? Generally, you should not handle the cases separately. This also means that it has perfect rotational symmetry, a concept well explore more in a following section. Horizontal symmetry seeks balance on the opposite dimension as vertical symmetry. Has the letter T got a vertical or horizontal line of symmetry? However, you may visit "Cookie Settings" to provide a controlled consent. I the H's line in the middle will go on top of I. The horizontal line of symmetry divides a shape into identical halves, when split horizontally, i.e., cut from right to left or vice-versa. The longest is NONSUPPORTS (11 letters), although if place names are allowed then the 13-letter words TUTTOQQORTOOQ (in Greenland) and ROSSOUWSPOORT (in South Africa) are valid. Figures with one line of symmetry are symmetrical only about one axis. Which is more common horizontal symmetry or vertical symmetry? The word symmetry originates from the ancient Greek word, 'symmetria' and approximately means 'equal proportions' or an 'agreement in dimensions'. For example, these figures, when rotated just the right amount 360/3 for the name picture and 360/5 for the star look precisely as they did before rotation. In the alphabet, over half of all letters have lines of symmetry. What are the highest-scoring Scrabble words? Ty distils the world around him into its basic geometry, prompting us to look at the mundane in a different way. Angry, Hungry, and GRY words What is the third word ending in GRY? 9 Which letters have horizontal lines of symmetry? Jeff is a senior graphic designer at Science World. for, A. a translation to the right and a reflection over the vertical line of reflection shown. Lines of symmetry appear in everyday applications. In this question . This means that it can be cut through the middle or folded in half in any direction and result in two identical halves, including diagonally (known as diagonal lines of symmetry). The selected text will now reflect the selected vertical alignment option. The 13-letter CABBAGEHEADED and ILLEFFACEABLE are not in dictionaries. Horizontal Symmetry The English alphabets such as B, C, H, E, are the examples of horizontal symmetry. Many letters of the English alphabet have point symmetry. 4) Five planes of reflection symmetry. PARADIGM was the word most frequently looked up in 1998 in the Merriam-Webster online dictionary. Wings of most butterflies are identical on the left and right sides. Lines of symmetry are common in mathematics, but did you know that they also appear in the alphabet? He's currently an API/Software Technical Writer based in Tokyo, Japan, runs VGKAMI andITEnterpriser, and spends what little free time he has learning Japanese. synonyms: symmetrical parallel. Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point. It may be horizontal, vertical, or diagonal. HI- if you fold them they will have a horizontal line of symmetry. Find five other letters that have a vertical line of symmetry. If both sides are symmetrical, your photo will look visually appealing. The cookie is used to store the user consent for the cookies in the category "Performance". Shapes with lines of symmetry retain total symmetry when divided along their centers vertically, horizontally or both. Are there any words that are vertically symmetrical? 1) A single plane of reflection symmetry. An object has a point symmetry if every part of the object has a matching part. Others include HAGGADAHS, FLAGFALLS, HADASSAHS, GALAGALA, GALAHADS, HASKALAH, and ALFALFAS. Some other words frequently looked up, besides obscene words, were UBIQUITOUS, ESOTERIC, OXYMORON, SERENDIPITY, HUBRIS, OBSEQUIOUS, and ECLECTIC. More intrepid experiments give other interesting results. Word records: vowels. He loves to make music, ride bikes, and spend time in the forest. The vertical line is perpendicular to the horizontal line. It is harder to make long words from the second half of the alphabet, as there are only two vowels, and these vowels are less common than those found in the first half of the alphabet. The line of symmetry runs through the vertex. True or false: The given shape has a vertical line of symmetry. A palindrome is spelled the same forward and backward. The metry in symmetry and geometry and metric refers to measurement. The only dictionary word which can be typed using only the bottom row of letters is ZZZ (to indicate sleeping). Which letters have horizontal lines of symmetry? It emphasises the size, shape, and design of buildings. Statement 4: All letters are asymmetrical. Email this page to a friend.Also: Sign up for our free web site updates here. A line of symmetry is one that divides a figure into two halves which are mirror images of each other. These cookies track visitors across websites and collect information to provide customized ads. If the sides match up, you can identify that the shape has a line of symmetry; if they dont, you can determine that the shape is asymmetrical. The longest such word, with ten letters, is OKEECHOBEE. The longest such word, with ten letters, is OKEECHOBEE. The presence or absence of symmetry has important implications for the evolution of languages. 7 has no symmetry. Look at the shapes above. 5) Six planes of reflection symmetry. Definitions of symmetric. Go ahead and click Center (or choose another option that better suits your requirements). Symmetry is useful in language design because it allows speakers to recognize written words easily. It is harder to make long words from the second half of the alphabet, as there are only two vowels, and these vowels are less common than those found in the first half of the alphabet. What are horizontal and vertical lines of symmetry? The words horizontal and vertical are generally used in a planar (2-dimensional) sense, not spatial (3-dimensional). Join 425,000 subscribers and get a daily digest of news, geek trivia, and our feature articles. They are B, C, D, E, and K. Answer: The letter X has both horizontal and vertical lines of symmetry,i.e. For example, when you are told to cut out a heart from a piece of paper, you simply fold the paper, draw one-half of the heart at the fold and cut it out to find that the other half exactly matches the first half. For example, the image below shows a horizontal line of symmetry. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Its all up to you. You wont notice a difference in the text alignment if you use it on a page thats already full of text. answered by Sara February 6, 2010 Here are letters that have symettry about a vertical fold O, I, M, W, T, A, H,U,V,X,Y Does that help? All of the letters in the words SOONISH (7 letters) and ONIONS (6 letters) independently have 180-degree rotational symmetry. Others include MOM, WOW, AHA, AHA, AIA, AMA, AVA, AWA, HAH, HOH, HUH, MAM, MIM, MUM, OHO, OXO, TAT, TIT, TOT, TUT, UTU, VAV, and WAW! Begin typing your search term above and press enter to search. With that you should be able to write the code yourself. When you purchase through our links we may earn a commission. In such a case, the line of symmetry is vertical. . It is harder to make long words from the second half of the alphabet, as there are only two vowels, and these vowels are less common than those found in the first half of the alphabet. We also use third-party cookies that help us analyze and understand how you use this website. Typewriter Words B, C, D, E and K have horizontal lines of symmetry. The cookie is used to store the user consent for the cookies in the category "Other. For example, the letter "A" has one line of symmetry, that is the vertical line of symmetry along its center. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. For example, we can split the following square shape across the corners to form two identical halves. Real-life examples of symmetry Reflection of trees in clear water and reflection of mountains in a lake. We say that the original figure is symmetric with respect to the mirror; it has reflective symmetry. SHAKALSHAS (10 letters) is the longest word which can be typed using only the middle row of letters on the keyboard. Line Symmetry. This is often created through reflections in water. Some letters, for example, X, H, and O, have both vertical and horizontal lines of symmetry. Reflexive symmetry: Reflective symmetry, also called mirror symmetry, is a type of symmetry where one half of the object reflects the other half of the object. printed Horizontally means like: translated 3 units left. When written in upper case, the word BID has horizontal symmetry, but when written in lower case it has vertical symmetry bid! Vertical symmetry refers to shapes that are completely symmetrical when folded vertically or split into vertical halves. (a) The following letters have vertical lines of symmetry: A, H, I, M, O, T, U, V, W, X, and Y. Here is a brief summary video of horizontal lines: This means you can draw a mirror line down through the middle of each shape and divide it into two reflected halves. The same study showed the words most frequently misspelled (by gross count) to be: RECEIVE, A LOT, AMATEUR, SEPARATE, REALIZE, THEIR, DEFINITE, INDEPENDENT, WEIRD, EMBARRASS, ARGUMENT, NO ONE, ACQUIRE, ACCIDENTALLY, OCCURRENCE, COLLECTIBLE, RIDICULOUS, MANEUVER, LIAISON, GAUGE, ATHEIST, GRAMMAR, SUPERSEDE, KERNEL, and CONSENSUS. The T, U, and V are symmetrical, but they each have only one line of symmetry. None of these letters has two lines of symmetry. AFTERCATARACTS, TESSERADECADES and TETRASTEARATES (each 14 letters) are the longest words which can be typed using only the fingers of the left hand, using the standard method of typing. In other words, objects are the same on both sides of a line (usually in the middle). It comes from the word 'horizon . A 2D shape can be called symmetrical if a line can be drawn through it and either side is a reflection of the other. Here are some examples! Horizontal symmetry can be observed in squares, rectangles, circles and ovals, though not in stars, triangles, hearts or pentagons. Letters with tails or embellishments may lose their lines of symmetry, while fonts that produce uniform letters retain them. So, there are only 5 capital English alphabets having a single and horizontal line of symmetry. 4 Which English letter has horizontal and vertical symmetry? By clicking Accept All, you consent to the use of ALL the cookies. The same study showed the words most frequently misspelled (by gross count) to be: RECEIVE, A LOT, AMATEUR, SEPARATE, REALIZE, THEIR, DEFINITE, INDEPENDENT, WEIRD, EMBARRASS, ARGUMENT, NO ONE, ACQUIRE, ACCIDENTALLY, OCCURRENCE, COLLECTIBLE, RIDICULOUS, MANEUVER, LIAISON, GAUGE, ATHEIST, GRAMMAR, SUPERSEDE, KERNEL, and CONSENSUS. 11 What do letters have lines of symmetry? Iterate over all rows with a for loop and check if the row is symmetric. For this reason, it can also be observed in a multitude of tangible objects and settings, including buildings, architecture, art and furniture. This line is vertical | 1 What words have vertical lines of symmetry? Remember vertical means from top to. Depending on how you draw them or what font you use, some capital letters have symmetry lines. Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. Most looked-up and most misspelled Words This cookie is set by GDPR Cookie Consent plugin. A horizontal line of symmetry is that line that runs across the image thus dividing into two identical halves. The colorful design above has only vertical and horizontal lines of symmetry, but placing a mirror on it at another angle can create a beautiful new design. bobpursley Rotational symmetry Another symmetry that children sometimes use in their Pattern Block designs is "Rotational Symmetry." 2 Whats a word that has a line of symmetry? Lots of buildings and everyday objects use symmetry because it looks appealing to the human eye. 322166814/www.reference.com/Reference_Mobile_Feed_Center1_300x250_Top, 322166814/www.reference.com/Reference_Mobile_Feed_Center2_300x250, 322166814/www.reference.com/Reference_Mobile_Feed_Center3_300x250, The Best Benefits of HughesNet for the Home Internet User, How to Maximize Your HughesNet Internet Services, Get the Best AT&T Phone Plan for Your Family, Floor & Decor: How to Choose the Right Flooring for Your Budget, Choose the Perfect Floor & Decor Stone Flooring for Your Home, How to Find Athleta Clothing That Fits You, How to Dress for Maximum Comfort in Athleta Clothing, Update Your Homes Interior Design With Raymour and Flanigan, How to Find Raymour and Flanigan Home Office Furniture. For example, different shapes like square, rectangle, circle are symmetric along their respective lines of symmetry. In mathematics, horizontal symmetry is less common than vertical symmetry. This means you can draw a mirror line down through the middle of each shape and divide it into two reflected halves. The following image shows how the structure of a starfish follows rotational symmetry. Sign up for the latest Science World news! This cookie is set by GDPR Cookie Consent plugin. Another symmetry that children sometimes use in their Pattern Block designs is Rotational Symmetry., Horizontal Line of Symmetry. However, the alphabet Z does not possess vertical symmetry. Symmetrical objects are of the same size and shape. An asymptote is a line that the graph of a function approaches but never 791 Math Experts 6 Years in business 88652+ Orders completed Get Homework Help A vertical line of symmetry is that line which runs down an image thus dividing it into two identical halves. More Word Records 1 has no symmetry line. And some, like P, R, and N, have no lines of symmetry. As a result, school materials tend to use the word symmetry as if it had only that one meaning. How-To Geek is where you turn when you want experts to explain technology. These letters retain the image of their original form, even when flipped on their heads. E, I, O, D, H, K, X, C and B So any word written with only those letters and written in capital will have an up-down reflection symmetry. Unfortunately, neither is HIGGLEHAGGLED nor GIBBLEGABBLED, also 13 letters each. They will be vertically symmetrical. Let's look at some more letters! What is the difference between horizontal and vertical symmetry? Watch the video below. Can you create words and sentences with vertically symmetrical letters? People can also have a symmetrical mustache. 6 has no symmetry. In other words, translation symmetry is defined as the sliding of an object about an axis. A horizontal line of symmetry is that line that runs across the image thus dividing into two identical halves. Some horizontally symmetrical words are: CHEEK, BIKE, BOX, BOOK, HIDE, X-BOX. The symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry. Meanwhile, F, G, J, L, N, P, Q, R, S and Z have no lines of symmetry. Vertical Line of Symmetry. The following table shows the examples for different shapes with the number of lines of symmetry that they have. . DRL-1934161 (Think Math+C), NSF Grant No. Marshall is a writer with experience in the data storage industry. The star below has 5 lines of symmetry, five lines on which it can be folded so that both sides match perfectly. 2 comments ( 10 votes) Upvote Downvote Flag more Show more. Symmetrical Words Some long words with horizontal symmetry are: BEDECKED, BOOHOOED, CHECKBOOK, CODEBOOK, COOKBOOK, DECIDED, DIOXIDE, DOBCHICK, EXCEEDED, HOODOOED, and KEBOBBED. And some, like P, R, and N, have no lines of symmetry. Return to the Table of Contents. Alternatively, you can use the Ctrl+E keyboard shortcut. Axis of Symmetry : THe line that divides the figure into two identical parts is called Axis of Symmetry. Analytical cookies are used to understand how visitors interact with the website. H-If you fold this on top of eachother I the H's line in the middle will go on top of I. A line of symmetry is one that divides a figure into two halves which are mirror images of each other. All Rights Reserved. [1] Conversely, a direction or plane is said to be horizontal if it is perpendicular to the vertical direction. FICKLEHEADED and FIDDLEDEEDEE are the longest English words consisting only of letters in the first half of the alphabet, each being 12 letters long. In 2001, the ten most frequently looked up words in the Cambridge Dictionaries Online were SERENDIPITY, IDIOM, PARADIGM, UBIQUITOUS, DICTIONARY, PRAGMATIC, EFFECT, GRY, JINGOISM, and FOIBLE. We experience symmetry every day. A vertical line of symmetry is that line which runs down an image thus dividing it into two identical halves. The line of symmetry can be either horizontal, vertical or diagonal. Some letters, for example, X, H, and O, have both vertical and horizontal lines of symmetry. Word records: consecutive letters. This photograph shows a simple picture with a mirror placed along the line of symmetry. In standard fonts, the letters A, M, T, U, V, W and Y each has a vertical line of symmetry that divides it into two corresponding mirror images. ADVERTISEMENT Photo Courtesy: Siede Preis/Getty Images Subalphabetic Words Nature has plenty of objects having symmetry. On this lesson on lines of symmetry, you will learn about reflection symmetry, vertical line symmetry, horizontal line symmetry, and examples of line symmetr. Does that help? Email this page to a friend.Also: Sign up for our free web site updates here. Statement 3: All letters have horizontal line of symmetry. Making use of symmetry, the area of one leaf of the four-leaved rose is represented by th; Given the relation x^2 + 3x = y^2 - 2y , what is the new relation if it has undergone: A. vertical expansion by 2 B. Horizontal expansion by 3 C. Vertical compression by 4/5 D. Horizontal compression by 1/5 E. Reflection over yaxis, vertical expansio Letters with horizontal symmetry are B, C, D and E. The letters K, F, G, J, K, L, N, P, Q, R, S and Z all do not have lines of symmetry. What is the shape of horizontally? Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. A horizontal line of symmetry is that line that runs across the image thus dividing into two identical halves. Since we launched in 2006, our articles have been read billions of times. Statement 2: All letters have vertical line of symmetry. The two concepts have nothing to do with one other. How did the American colonies actually win the war and gain their Independence from Britain? Statement 1: All letters are symmetrical. If a figure has rotational symmetry of 180, then it has point symmetry. The words most likely to be misspelled (ratio of incorrect to correct spelling) according to a study of Usenet traffic some years ago were DUMBELL, OCCURRENCE, MEMENTO, FRUSTUM, COLLECTIBLE, AMATEUR, DAIQUIRI, PASTIME, ACCIDENTALLY, PLAYWRIGHT, EMBARRASS, ACQUIT, HARASS, and PRONUNCIATION. Some, like P, R, and N, have no symmetry lines. How many lines of symmetry does the, Provide a counterexample to show that each statement is false. (ha! To align text horizontally on a page, highlight the text you want to center. Some other words frequently looked up, besides obscene words, were UBIQUITOUS, ESOTERIC, OXYMORON, SERENDIPITY, HUBRIS, OBSEQUIOUS, and ECLECTIC. All regular polygons are symmetrical in shape. These lines are considered in the creation of roads, the development of buildings, clothing design, car production, artwork and much more. being everywhere equidistant and not intersecting.