The Project Gutenberg EBook of Vanishing Point, by C.C. Beck This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: Vanishing Point Author: C.C. Beck Illustrator: Martinez Release Date: December 15, 2007 [EBook #23868] Language: English Character set encoding: ASCII *** START OF THIS PROJECT GUTENBERG EBOOK VANISHING POINT *** Produced by Greg Weeks, Bruce Albrecht, Stephen Blundell and the Online Distributed Proofreading Team at http://www.pgdp.net [Illustration] VANISHING POINT BY C. C. BECK _In perspective, theoretically the vanishing point is at infinity, and therefore unattainable. But reality is different; vanishment occurs a lot sooner than theory suggests ..._ Illustrated by Martinez That? Oh, that's a perspective machine. Well, not exactly, but that's what I call it. No, I don't know how it works. Too complicated for me. Carter could make it go, but after he made it he never used it. Too bad; he thought he'd make a lot of money with it there for awhile, while he was working it out. Almost had me convinced, but I told him, "Get it to working first, Carter, and then show me what you can do with it better than I can do without it. I'm doing pretty well as is ... pictures selling good, even if I do make 'em all by guesswork, as you call it." That's what I told him. Y'see, Carter was one a them artists that think they can work everything out by formulas and stuff. Me, I just paint things as I see 'em. Never worry about perspective and all that kinda mechanical aids. Never even went to Art School. But I do all right. Carter, now, was a different sorta artist. Well, he wasn't really an artist--more of a draftsman. I first got him in to help me with a series of real estate paintings I'd got an order for. Big aerial views of land developments, and drawings of buildings, roads and causeways, that kinda stuff. Was a little too much for me to handle alone, 'cause I never studied that kinda things, ya know. I thought he'd do the mechanical drawings, which shoulda been simple for anybody trained that way, and I'd throw in the colors, figures and trees and so on. He did fine. Job came out good; client was real happy. We made a pretty good amount on the job, enough to keep us for a coupla months without working afterwards. I took it easy, fishing and so on, but Carter stayed here in the studio working on his own stuff. I let him keep an eye on things for me around the place, and just dropped in now and then to check up. The guy was nuts on the subject of perspective. I thought he knew all there was to know about it already, but he claimed _nobody_ knew anything about it, really. Said he'd been studying it for years, and the more he learned about it the more there was to learn. He used to cover big sheets of paper with complicated diagrams trying to prove something or other to himself. I'd come into the studio and find him with thumb tacks and strings and stuff all over the place. He'd get big long rulers and draw lines to various points all over the room, and end up with a little drawing of a cube about an inch square that anybody coulda made in a half a minute without all the apparatus. Seemed pretty silly to me. Then he brought in some books on mathematics and physics and other things, and a bunch of slide rules, calculators, and junk. He musta been a pretty smart guy to know how to handle all those things, even if he was kinda dopey about other things. You know ... women and fishing and sports and drinking; he was lousy at everything except working those perspective problems. Personally, I couldn't see much sense to what he was doing. The guy could draw all right already, so I asked him what more did he want? Lemme see if I can remember what he said. "I'm trying to get at things as they really are, not as they appear," he said. I think those were his words. "Art is an illusion, a bag of tricks. Reality is something else, not what we _think_ it is. Drawings are two-dimensional projections of a world that is not merely three- but four-dimensional, if not more," he said. * * * * * Yeh, kind of a crackpot, Carter was. Just on that one subject, though; nice enough guy otherwise. Here, look at some of the drawings he made, working out his formulas. Nice designs, huh? Might make good wall paper or fabric patterns. Real abstract ... that's what people seem to like. See all those little letters scattered around among the lines? Different kinds of vanishing points, they are. Carter claimed the whole world was full of vanishing points. You don't know what a vanishing point is? Lemme see if I can explain. Come over to the window here. Ya see how that road out there gets smaller and smaller in the distance? Of course the road doesn't really get smaller--it just looks that way. That's what we call a vanishing point in drawing. Simple, isn't it? Never could understand why Carter went to so much trouble working out all those ways to locate vanishing points. Me, I just throw 'em in wherever I need 'em. But Carter claimed that was wrong. Said they were all connected together some way, and he was gonna work out a method to prove it. Here ... here's a little gadget he made up to help his calculations. Bunch of disks all pivoted together at the center; you're supposed to turn 'em around so the arrows point to the different figures and things. Here's the square root sign, I remember Carter telling me that. This one is the Tangent Function, whatever that means. Log, there, is short for logarithm. Oh, he had a bunch of that scientific stuff in his head all the time; dunno whether he understood it all himself. He built this thing just before he put together the perspective machine there. Silly-looking gadget, huh? All them pipes and wires and that little cube in the center ... don't try to touch it, it ain't really there. You just think it is. It's what Carter called a teteract, or a cataract ... no, that ain't the right word. Somepin' like that--tesser something or other. There's a picture like it in one of Carter's books. Hurts your eyes to look at it, don't it? That's what Carter thought was going to make him a lot of fame and money, that perspective machine. I told him nobody'd ever made a drawing machine yet that worked, but he said it wasn't supposed to make drawings. It was just supposed to give people a view of what reality really is, instead of what they think it is. I dunno whether he expected to charge money to look through it, or whether he was gonna look through it himself and make some new kinda drawings and sell 'em. No, I can't tell you how it works--I said before I don't know. Carter only used it once himself. I came in here the day he finished it, just as he was ready to turn it on. He was just putting the finishing touches on it. "In a few minutes," he told me, "I'll have the answer to a question that may never have been answered before: what is reality? Is the world a thing by itself, and all we know illusion? Why do things grow smaller the farther away from us they appear? Why can't we see more than one side of anything at a time? What happens to the far side of an object; does it cease to exist just because we can't see it? Are objects not present nonexistent? Because artists draw things vanishing to points, does that mean that they really vanish?" * * * * * A wack, that's what he was. Nice guy, but sorta screwy. He kept saying more goofy things while he was finishing up the machine, about how he'd figured out that all we knew about vision and drawing and so on must be wrong, and that once he got a look at the real world he'd prove it. "How about cameras?" I asked him. "Take a picture with a camera and it looks just about the same as a drawing, don't it?" "That's because cameras are built to take pictures like we're used to seeing them," he said. "Flat, two-dimensional slices of reality, without depth or motion." "Even 3-D moving pictures?" I asked. "They're closer to reality," he admitted. "But they are still only cross sections of it. The shutter of a movie camera is closed as much of the time as it is open. What happens in between the times it's open? "You know," he went on, "people used to think matter and motion were continuous, but scientists have proved that they are discontinuous. Now some of them think time may be, too. Maybe everything is just imaginary, and appears to our senses in whatever way we want it to appear. We are so well-trained that we see everything just as we are taught to see it by generations of artists, writers, and other symbol-makers. If we could see things as they really are, what might happen?" "We'd probably all go nuts!" I told him. He just smiled. "Well, here goes," he said. "It's finished. Now to find out who is right, the scientists and philosophers who say reality is forever unreachable, or the artists who say there isn't any reality--that we make the whole thing up to suit ourselves." He moved one of those pointers you see there, and squinted around at the different scales and dials, and then stepped back. That little tessy-thing appeared, real small at first. Just a point; you could hardly see it. I couldn't see anything else happening, and thought he was gonna do somepin' else to the machine. I turned to look at Carter, and saw his face was white as a sheet. "Good Gawd!" he says, just like that: "Good Gawd!" That's all. "Well," I says to him, "who was right, the scientists or the artists?" "The artists!" he sorta screeches. "The artists were right all the time ... there _is_ no reality! It's all a fabric of illusion we've created ourselves! And now I've ripped a hole in that!" He gives a strangled hoot and goes hightailin' outta here like somepin' was after him. Jumps in his car and roars off down the road and disappears. Naw, I don't mean he really disappeared--are you nuts? Just roared on down the road till he got so small I couldn't see him no more. You know--the way things do when they go farther and farther away. Happens every day; that's what us artists mean by perspective. The machine? Well, I dunno what to do with it. If Carter ever comes back he might not like my getting rid of it. I was thinking mebbe I'd put it in the hobby show at the county fair next week, though. Ya notice how that funny-looking cube inside there gets bigger every time you look at it? There ... it just doubled its size again, see? People at the fair oughtta get a big kick outta that. No telling how big it'll get with all those people looking at it. But come on, let's go fishing. We'd better hurry or it'll be too late. THE END Transcriber's Note: This etext was produced from _Astounding Science Fiction_ July 1959. Extensive research did not uncover any evidence that the U.S. copyright on this publication was renewed. Minor spelling and typographical errors have been corrected without note. Informal spellings have been retained. End of the Project Gutenberg EBook of Vanishing Point, by C.C. Beck *** END OF THIS PROJECT GUTENBERG EBOOK VANISHING POINT *** ***** This file should be named 23868.txt or 23868.zip ***** This and all associated files of various formats will be found in: http://www.gutenberg.org/2/3/8/6/23868/ Produced by Greg Weeks, Bruce Albrecht, Stephen Blundell and the Online Distributed Proofreading Team at http://www.pgdp.net Updated editions will replace the previous one--the old editions will be renamed. Creating the works from public domain print editions means that no one owns a United States copyright in these works, so the Foundation (and you!) can copy and distribute it in the United States without permission and without paying copyright royalties. Special rules, set forth in the General Terms of Use part of this license, apply to copying and distributing Project Gutenberg-tm electronic works to protect the PROJECT GUTENBERG-tm concept and trademark. Project Gutenberg is a registered trademark, and may not be used if you charge for the eBooks, unless you receive specific permission. If you do not charge anything for copies of this eBook, complying with the rules is very easy. You may use this eBook for nearly any purpose such as creation of derivative works, reports, performances and research. They may be modified and printed and given away--you may do practically ANYTHING with public domain eBooks. Redistribution is subject to the trademark license, especially commercial redistribution. *** START: FULL LICENSE *** THE FULL PROJECT GUTENBERG LICENSE PLEASE READ THIS BEFORE YOU DISTRIBUTE OR USE THIS WORK To protect the Project Gutenberg-tm mission of promoting the free distribution of electronic works, by using or distributing this work (or any other work associated in any way with the phrase "Project Gutenberg"), you agree to comply with all the terms of the Full Project Gutenberg-tm License (available with this file or online at http://gutenberg.org/license). Section 1. General Terms of Use and Redistributing Project Gutenberg-tm electronic works 1.A. By reading or using any part of this Project Gutenberg-tm electronic work, you indicate that you have read, understand, agree to and accept all the terms of this license and intellectual property (trademark/copyright) agreement. If you do not agree to abide by all the terms of this agreement, you must cease using and return or destroy all copies of Project Gutenberg-tm electronic works in your possession. If you paid a fee for obtaining a copy of or access to a Project Gutenberg-tm electronic work and you do not agree to be bound by the terms of this agreement, you may obtain a refund from the person or entity to whom you paid the fee as set forth in paragraph 1.E.8. 1.B. "Project Gutenberg" is a registered trademark. It may only be used on or associated in any way with an electronic work by people who agree to be bound by the terms of this agreement. There are a few things that you can do with most Project Gutenberg-tm electronic works even without complying with the full terms of this agreement. See paragraph 1.C below. There are a lot of things you can do with Project Gutenberg-tm electronic works if you follow the terms of this agreement and help preserve free future access to Project Gutenberg-tm electronic works. See paragraph 1.E below. 1.C. The Project Gutenberg Literary Archive Foundation ("the Foundation" or PGLAF), owns a compilation copyright in the collection of Project Gutenberg-tm electronic works. Nearly all the individual works in the collection are in the public domain in the United States. If an individual work is in the public domain in the United States and you are located in the United States, we do not claim a right to prevent you from copying, distributing, performing, displaying or creating derivative works based on the work as long as all references to Project Gutenberg are removed. Of course, we hope that you will support the Project Gutenberg-tm mission of promoting free access to electronic works by freely sharing Project Gutenberg-tm works in compliance with the terms of this agreement for keeping the Project Gutenberg-tm name associated with the work. You can easily comply with the terms of this agreement by keeping this work in the same format with its attached full Project Gutenberg-tm License when you share it without charge with others. 1.D. The copyright laws of the place where you are located also govern what you can do with this work. Copyright laws in most countries are in a constant state of change. If you are outside the United States, check the laws of your country in addition to the terms of this agreement before downloading, copying, displaying, performing, distributing or creating derivative works based on this work or any other Project Gutenberg-tm work. The Foundation makes no representations concerning the copyright status of any work in any country outside the United States. 1.E. Unless you have removed all references to Project Gutenberg: 1.E.1. The following sentence, with active links to, or other immediate access to, the full Project Gutenberg-tm License must appear prominently whenever any copy of a Project Gutenberg-tm work (any work on which the phrase "Project Gutenberg" appears, or with which the phrase "Project Gutenberg" is associated) is accessed, displayed, performed, viewed, copied or distributed: This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org 1.E.2. If an individual Project Gutenberg-tm electronic work is derived from the public domain (does not contain a notice indicating that it is posted with permission of the copyright holder), the work can be copied and distributed to anyone in the United States without paying any fees or charges. If you are redistributing or providing access to a work with the phrase "Project Gutenberg" associated with or appearing on the work, you must comply either with the requirements of paragraphs 1.E.1 through 1.E.7 or obtain permission for the use of the work and the Project Gutenberg-tm trademark as set forth in paragraphs 1.E.8 or 1.E.9. 1.E.3. If an individual Project Gutenberg-tm electronic work is posted with the permission of the copyright holder, your use and distribution must comply with both paragraphs 1.E.1 through 1.E.7 and any additional terms imposed by the copyright holder. Additional terms will be linked to the Project Gutenberg-tm License for all works posted with the permission of the copyright holder found at the beginning of this work. 1.E.4. Do not unlink or detach or remove the full Project Gutenberg-tm License terms from this work, or any files containing a part of this work or any other work associated with Project Gutenberg-tm. 1.E.5. Do not copy, display, perform, distribute or redistribute this electronic work, or any part of this electronic work, without prominently displaying the sentence set forth in paragraph 1.E.1 with active links or immediate access to the full terms of the Project Gutenberg-tm License. 1.E.6. You may convert to and distribute this work in any binary, compressed, marked up, nonproprietary or proprietary form, including any word processing or hypertext form. However, if you provide access to or distribute copies of a Project Gutenberg-tm work in a format other than "Plain Vanilla ASCII" or other format used in the official version posted on the official Project Gutenberg-tm web site (www.gutenberg.org), you must, at no additional cost, fee or expense to the user, provide a copy, a means of exporting a copy, or a means of obtaining a copy upon request, of the work in its original "Plain Vanilla ASCII" or other form. Any alternate format must include the full Project Gutenberg-tm License as specified in paragraph 1.E.1. 1.E.7. Do not charge a fee for access to, viewing, displaying, performing, copying or distributing any Project Gutenberg-tm works unless you comply with paragraph 1.E.8 or 1.E.9. 1.E.8. You may charge a reasonable fee for copies of or providing access to or distributing Project Gutenberg-tm electronic works provided that - You pay a royalty fee of 20% of the gross profits you derive from the use of Project Gutenberg-tm works calculated using the method you already use to calculate your applicable taxes. The fee is owed to the owner of the Project Gutenberg-tm trademark, but he has agreed to donate royalties under this paragraph to the Project Gutenberg Literary Archive Foundation. Royalty payments must be paid within 60 days following each date on which you prepare (or are legally required to prepare) your periodic tax returns. Royalty payments should be clearly marked as such and sent to the Project Gutenberg Literary Archive Foundation at the address specified in Section 4, "Information about donations to the Project Gutenberg Literary Archive Foundation." - You provide a full refund of any money paid by a user who notifies you in writing (or by e-mail) within 30 days of receipt that s/he does not agree to the terms of the full Project Gutenberg-tm License. You must require such a user to return or destroy all copies of the works possessed in a physical medium and discontinue all use of and all access to other copies of Project Gutenberg-tm works. - You provide, in accordance with paragraph 1.F.3, a full refund of any money paid for a work or a replacement copy, if a defect in the electronic work is discovered and reported to you within 90 days of receipt of the work. - You comply with all other terms of this agreement for free distribution of Project Gutenberg-tm works. 1.E.9. If you wish to charge a fee or distribute a Project Gutenberg-tm electronic work or group of works on different terms than are set forth in this agreement, you must obtain permission in writing from both the Project Gutenberg Literary Archive Foundation and Michael Hart, the owner of the Project Gutenberg-tm trademark. Contact the Foundation as set forth in Section 3 below. 1.F. 1.F.1. Project Gutenberg volunteers and employees expend considerable effort to identify, do copyright research on, transcribe and proofread public domain works in creating the Project Gutenberg-tm collection. Despite these efforts, Project Gutenberg-tm electronic works, and the medium on which they may be stored, may contain "Defects," such as, but not limited to, incomplete, inaccurate or corrupt data, transcription errors, a copyright or other intellectual property infringement, a defective or damaged disk or other medium, a computer virus, or computer codes that damage or cannot be read by your equipment. 1.F.2. LIMITED WARRANTY, DISCLAIMER OF DAMAGES - Except for the "Right of Replacement or Refund" described in paragraph 1.F.3, the Project Gutenberg Literary Archive Foundation, the owner of the Project Gutenberg-tm trademark, and any other party distributing a Project Gutenberg-tm electronic work under this agreement, disclaim all liability to you for damages, costs and expenses, including legal fees. YOU AGREE THAT YOU HAVE NO REMEDIES FOR NEGLIGENCE, STRICT LIABILITY, BREACH OF WARRANTY OR BREACH OF CONTRACT EXCEPT THOSE PROVIDED IN PARAGRAPH F3. YOU AGREE THAT THE FOUNDATION, THE TRADEMARK OWNER, AND ANY DISTRIBUTOR UNDER THIS AGREEMENT WILL NOT BE LIABLE TO YOU FOR ACTUAL, DIRECT, INDIRECT, CONSEQUENTIAL, PUNITIVE OR INCIDENTAL DAMAGES EVEN IF YOU GIVE NOTICE OF THE POSSIBILITY OF SUCH DAMAGE. 1.F.3. LIMITED RIGHT OF REPLACEMENT OR REFUND - If you discover a defect in this electronic work within 90 days of receiving it, you can receive a refund of the money (if any) you paid for it by sending a written explanation to the person you received the work from. If you received the work on a physical medium, you must return the medium with your written explanation. The person or entity that provided you with the defective work may elect to provide a replacement copy in lieu of a refund. If you received the work electronically, the person or entity providing it to you may choose to give you a second opportunity to receive the work electronically in lieu of a refund. If the second copy is also defective, you may demand a refund in writing without further opportunities to fix the problem. 1.F.4. Except for the limited right of replacement or refund set forth in paragraph 1.F.3, this work is provided to you 'AS-IS' WITH NO OTHER WARRANTIES OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO WARRANTIES OF MERCHANTIBILITY OR FITNESS FOR ANY PURPOSE. 1.F.5. Some states do not allow disclaimers of certain implied warranties or the exclusion or limitation of certain types of damages. If any disclaimer or limitation set forth in this agreement violates the law of the state applicable to this agreement, the agreement shall be interpreted to make the maximum disclaimer or limitation permitted by the applicable state law. The invalidity or unenforceability of any provision of this agreement shall not void the remaining provisions. 1.F.6. INDEMNITY - You agree to indemnify and hold the Foundation, the trademark owner, any agent or employee of the Foundation, anyone providing copies of Project Gutenberg-tm electronic works in accordance with this agreement, and any volunteers associated with the production, promotion and distribution of Project Gutenberg-tm electronic works, harmless from all liability, costs and expenses, including legal fees, that arise directly or indirectly from any of the following which you do or cause to occur: (a) distribution of this or any Project Gutenberg-tm work, (b) alteration, modification, or additions or deletions to any Project Gutenberg-tm work, and (c) any Defect you cause. Section 2. Information about the Mission of Project Gutenberg-tm Project Gutenberg-tm is synonymous with the free distribution of electronic works in formats readable by the widest variety of computers including obsolete, old, middle-aged and new computers. It exists because of the efforts of hundreds of volunteers and donations from people in all walks of life. Volunteers and financial support to provide volunteers with the assistance they need, is critical to reaching Project Gutenberg-tm's goals and ensuring that the Project Gutenberg-tm collection will remain freely available for generations to come. In 2001, the Project Gutenberg Literary Archive Foundation was created to provide a secure and permanent future for Project Gutenberg-tm and future generations. To learn more about the Project Gutenberg Literary Archive Foundation and how your efforts and donations can help, see Sections 3 and 4 and the Foundation web page at http://www.pglaf.org. Section 3. Information about the Project Gutenberg Literary Archive Foundation The Project Gutenberg Literary Archive Foundation is a non profit 501(c)(3) educational corporation organized under the laws of the state of Mississippi and granted tax exempt status by the Internal Revenue Service. The Foundation's EIN or federal tax identification number is 64-6221541. Its 501(c)(3) letter is posted at http://pglaf.org/fundraising. Contributions to the Project Gutenberg Literary Archive Foundation are tax deductible to the full extent permitted by U.S. federal laws and your state's laws. The Foundation's principal office is located at 4557 Melan Dr. S. Fairbanks, AK, 99712., but its volunteers and employees are scattered throughout numerous locations. Its business office is located at 809 North 1500 West, Salt Lake City, UT 84116, (801) 596-1887, email business@pglaf.org. Email contact links and up to date contact information can be found at the Foundation's web site and official page at http://pglaf.org For additional contact information: Dr. Gregory B. Newby Chief Executive and Director gbnewby@pglaf.org Section 4. Information about Donations to the Project Gutenberg Literary Archive Foundation Project Gutenberg-tm depends upon and cannot survive without wide spread public support and donations to carry out its mission of increasing the number of public domain and licensed works that can be freely distributed in machine readable form accessible by the widest array of equipment including outdated equipment. Many small donations ($1 to $5,000) are particularly important to maintaining tax exempt status with the IRS. The Foundation is committed to complying with the laws regulating charities and charitable donations in all 50 states of the United States. Compliance requirements are not uniform and it takes a considerable effort, much paperwork and many fees to meet and keep up with these requirements. We do not solicit donations in locations where we have not received written confirmation of compliance. To SEND DONATIONS or determine the status of compliance for any particular state visit http://pglaf.org While we cannot and do not solicit contributions from states where we have not met the solicitation requirements, we know of no prohibition against accepting unsolicited donations from donors in such states who approach us with offers to donate. International donations are gratefully accepted, but we cannot make any statements concerning tax treatment of donations received from outside the United States. U.S. laws alone swamp our small staff. Please check the Project Gutenberg Web pages for current donation methods and addresses. Donations are accepted in a number of other ways including checks, online payments and credit card donations. To donate, please visit: http://pglaf.org/donate Section 5. General Information About Project Gutenberg-tm electronic works. Professor Michael S. Hart is the originator of the Project Gutenberg-tm concept of a library of electronic works that could be freely shared with anyone. For thirty years, he produced and distributed Project Gutenberg-tm eBooks with only a loose network of volunteer support. Project Gutenberg-tm eBooks are often created from several printed editions, all of which are confirmed as Public Domain in the U.S. unless a copyright notice is included. Thus, we do not necessarily keep eBooks in compliance with any particular paper edition. Most people start at our Web site which has the main PG search facility: http://www.gutenberg.org This Web site includes information about Project Gutenberg-tm, including how to make donations to the Project Gutenberg Literary Archive Foundation, how to help produce our new eBooks, and how to subscribe to our email newsletter to hear about new eBooks.