Chapter 22 How I then tried to diffuse the Theory of Three Di

My failure with my Grandson did not encourage me to communicate my secret to others of my household; yet neither was I led by it to despair of success. Only I saw that I must not wholly rely on the catch-phrase, “Upward, not Northward”, but must rather endeavour to seek a demonstration¹ by setting before the public a clear view of the whole subject; and for this purpose it seemed necessary to resort to writing.
So I devoted² several months in privacy to the composition of a treatise³ on the mysteries of Three Dimensions. Only, with the view of evading⁴ the Law, if possible, I spoke⁵ not of a physical Dimension, but of a Thoughtland whence, in theory, a Figure could look down upon Flatland and see simultaneously⁶ the insides of all things, and where it was possible that there might be supposed to exist a Figure environed, as it were, with six Squares, and containing eight terminal Points. But in writing this book I found myself sadly hampered⁷ by the impossibility of drawing such diagrams as were necessary for my purpose; for of course, in our country of Flatland, there are no tablets but Lines, and no diagrams but Lines, all in one straight Line and only distinguishable by difference of size and brightness; so that, when I had finished my treatise (which I entitled, “Through Flatland to Thoughtland”) I could not feel certain that many would understand my meaning.
Meanwhile my life was under a cloud. All pleasures palled⁸ upon me; all sights tantalized⁹ and tempted¹⁰ me to outspoken¹¹ treason, because I could not but compare what I saw in Two Dimensions with what it really was if seen in Three, and could hardly refrain from making my comparisons aloud. I neglected my clients and my own business to give myself to the contemplation of the mysteries which I had once beheld¹², yet which I could impart to no one, and found daily more difficult to reproduce even before my own mental vision.
One day, about eleven months after my return from Spaceland, I tried to see a Cube with my eye closed, but failed; and though I succeeded afterwards, I was not then quite certain (nor have I been ever afterwards) that I had exactly realized the original. This made me more melancholy¹³ than before, and determined¹⁴ me to take some step; yet what, I knew not. I felt that I would have been willing to sacrifice my life for the Cause, if thereby¹⁵ I could have produced conviction. But if I could not convince my Grandson, how could I convince the highest and most developed Circles in the land?
And yet at times my spirit was too strong for me, and I gave vent¹⁶ to dangerous utterances¹⁷. Already I was considered heterodox if not treasonable, and I was keenly alive to the danger of my position; nevertheless I could not at times refrain from bursting out into suspicious or half-seditious utterances, even among the highest Polygonal¹⁸ and Circular society. When, for example, the question arose about the treatment of those lunatics who said that they had received the power of seeing the insides of things, I would quote the saying of an ancient Circle, who declared that prophets and inspired people are always considered by the majority to be mad; and I could not help occasionally dropping such expressions as “the eye that discerns the interiors of things”, and “the all-seeing land”; once or twice I even let fall the forbidden terms “the Third and Fourth Dimensions”. At last, to complete a series of minor¹⁹ indiscretions, at a meeting of our Local Speculative²⁰ Society held at the palace of the Prefect himself, — some extremely silly person having read an elaborate paper exhibiting the precise reasons why Providence²¹ has limited the number of Dimensions to Two, and why the attribute of omnividence is assigned to the Supreme²² alone — I so far forgot myself as to give an exact account of the whole of my voyage with the Sphere into Space, and to the Assembly Hall in our Metropolis²³, and then to Space again, and of my return home, and of everything that I had seen and heard in fact or vision. At first, indeed, I pretended that I was describing the imaginary experiences of a fictitious²⁴ person; but my enthusiasm soon forced me to throw off all disguise, and finally, in a fervent²⁵ peroration²⁶, I exhorted²⁷ all my hearers to divest²⁸ themselves of prejudice and to become believers in the Third Dimension.
Need I say that I was at once arrested and taken before the Council?
Next morning, standing²⁹ in the very place where but a very few months ago the Sphere had stood in my company, I was allowed to begin and to continue my narration³⁰ unquestioned and uninterrupted. But from the first I foresaw my fate; for the President, noting that a guard of the better sort of Policemen was in attendance, of angularity little, if at all, under 55 degrees, ordered them to be relieved before I began my defence, by an inferior class of 2 or 3 degrees. I knew only too well what that meant. I was to be executed or imprisoned³¹, and my story was to be kept secret from the world by the simultaneous destruction of the officials who had heard it; and, this being the case, the President desired to substitute the cheaper for the more expensive victims.
After I had concluded my defence, the President, perhaps perceiving that some of the junior Circles had been moved by my evident earnestness, asked me two questions:—
1. Whether I could indicate the direction which I meant when I used the words “Upward, not Northward”?
2. Whether I could by any diagrams or descriptions (other than the enumeration³² of imaginary sides and angles) indicate the Figure I was pleased to call a Cube?
I declared that I could say nothing more, and that I must commit myself to the Truth, whose cause would surely prevail in the end.
The President replied that he quite concurred³³ in my sentiment, and that I could not do better. I must be sentenced to perpetual imprisonment³⁴; but if the Truth intended that I should emerge from prison and evangelize the world, the Truth might be trusted to bring that result to pass. Meanwhile I should be subjected to no discomfort³⁵ that was not necessary to preclude³⁶ escape, and, unless I forfeited³⁷ the privilege by misconduct, I should be occasionally permitted to see my brother who had preceded me to my prison.
Seven years have elapsed and I am still a prisoner, and — if I except the occasional visits of my brother — debarred from all companionship save that of my jailers. My brother is one of the best of Squares, just, sensible, cheerful, and not without fraternal affection; yet I confess that my weekly interviews, at least in one respect, cause me the bitterest pain. He was present when the Sphere manifested himself in the Council Chamber³⁸; he saw the Sphere’s changing sections; he heard the explanation of the phenomena³⁹ then given to the Circles. Since that time, scarcely a week has passed during seven whole years, without his hearing from me a repetition of the part I played in that manifestation⁴⁰, together with ample descriptions of all the phenomena in Spaceland, and the arguments for the existence of Solid things derivable⁴¹ from Analogy. Yet — I take shame to be forced to confess it — my brother has not yet grasped the nature of the Third Dimension, and frankly⁴² avows⁴³ his disbelief in the existence of a Sphere.
Hence I am absolutely destitute⁴⁴ of converts, and, for aught that I can see, the millennial⁴⁵ Revelation has been made to me for nothing. Prometheus up in Spaceland was bound for bringing down fire for mortals, but I— poor Flatland Prometheus — lie here in prison for bringing down nothing to my countrymen. Yet I exist in the hope that these memoirs⁴⁶, in some manner, I know not how, may find their way to the minds of humanity in Some Dimension, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality.
That is the hope of my brighter moments. Alas⁴⁷, it is not always so. Heavily weighs on me at times the burdensome reflection that I cannot honestly say I am confident as to the exact shape of the once-seen, oft-regretted Cube; and in my nightly visions the mysterious precept⁴⁸, “Upward, not Northward”, haunts me like a soul-devouring Sphinx. It is part of the martyrdom which I endure for the cause of the Truth that there are seasons of mental weakness, when Cubes and Spheres flit away into the background of scarce-possible existences; when the Land of Three Dimensions seems almost as visionary as the Land of One or None; nay⁴⁹, when even this hard wall that bars me from my freedom, these very tablets on which I am writing, and all the substantial realities of Flatland itself, appear no better than the offspring of a diseased imagination, or the baseless fabric⁵⁰ of a dream.

The End

1 demonstration   

n.表明，示范，论证，示威

参考例句：

• His new book is a demonstration of his patriotism.他写的新书是他的爱国精神的证明。
• He gave a demonstration of the new technique then and there.他当场表演了这种新的操作方法。

2 devoted   

adj.忠诚的，忠实的，热心的，献身于...的

参考例句：

• He devoted his life to the educational cause of the motherland.他为祖国的教育事业贡献了一生。
• We devoted a lengthy and full discussion to this topic.我们对这个题目进行了长时间的充分讨论。

3 treatise   

n.专著；(专题)论文

参考例句：

• The doctor wrote a treatise on alcoholism.那位医生写了一篇关于酗酒问题的论文。
• This is not a treatise on statistical theory.这不是一篇有关统计理论的论文。

4 evading   

逃避( evade的现在分词 )； 避开； 回避； 想不出

参考例句：

• Segmentation of a project is one means of evading NEPA. 把某一工程进行分割，是回避《国家环境政策法》的一种手段。 来自英汉非文学 - 环境法 - 环境法
• Too many companies, she says, are evading the issue. 她说太多公司都在回避这个问题。

5 spoke   

n.（车轮的）辐条；轮辐；破坏某人的计划；阻挠某人的行动 v.讲，谈（speak的过去式）；说；演说；从某种观点来说

参考例句：

• They sourced the spoke nuts from our company.他们的轮辐螺帽是从我们公司获得的。
• The spokes of a wheel are the bars that connect the outer ring to the centre.辐条是轮子上连接外圈与中心的条棒。

6 simultaneously   

adv.同时发生地，同时进行地

参考例句：

• The radar beam can track a number of targets almost simultaneously.雷达波几乎可以同时追着多个目标。
• The Windows allow a computer user to execute multiple programs simultaneously.Windows允许计算机用户同时运行多个程序。

7 hampered   

妨碍，束缚，限制( hamper的过去式和过去分词 )

参考例句：

• The search was hampered by appalling weather conditions. 恶劣的天气妨碍了搜寻工作。
• So thought every harassed, hampered, respectable boy in St. Petersburg. 圣彼德堡镇的那些受折磨、受拘束的体面孩子们个个都是这么想的。

8 palled   

v.（因过多或过久而）生厌，感到乏味，厌烦( pall的过去式和过去分词 )

参考例句：

• They palled up at college. 他们是在大学结识的。 来自《简明英汉词典》
• The long hot idle summer days palled on me. 我对这漫长、炎热、无所事事的夏天感到腻烦了。 来自辞典例句

9 tantalized   

v.逗弄，引诱，折磨( tantalize的过去式和过去分词 )

参考例句：

• The delicious smell tantalized us. 香味逗引我们。 来自辞典例句
• It tantalized him that she should have such a loathing for him. 她竟会这么厌恶他，这倒使他心里直纳闷。 来自辞典例句

10 tempted   

v.怂恿（某人）干不正当的事；冒…的险（tempt的过去分词）

参考例句：

• I was sorely tempted to complain, but I didn't. 我极想发牢骚，但还是没开口。
• I was tempted by the dessert menu. 甜食菜单馋得我垂涎欲滴。

11 outspoken   

adj.直言无讳的，坦率的，坦白无隐的

参考例句：

• He was outspoken in his criticism.他在批评中直言不讳。
• She is an outspoken critic of the school system in this city.她是这座城市里学校制度的坦率的批评者。

12 beheld   

v.看，注视( behold的过去式和过去分词 )；瞧；看呀；（叙述中用于引出某人意外的出现）哎哟

参考例句：

• His eyes had never beheld such opulence. 他从未见过这样的财富。 来自《简明英汉词典》
• The soul beheld its features in the mirror of the passing moment. 灵魂在逝去的瞬间的镜子中看到了自己的模样。 来自英汉文学 - 红字

13 melancholy   

n.忧郁，愁思；adj.令人感伤（沮丧）的，忧郁的

参考例句：

• All at once he fell into a state of profound melancholy.他立即陷入无尽的忧思之中。
• He felt melancholy after he failed the exam.这次考试没通过，他感到很郁闷。

14 determined   

adj.坚定的；有决心的

参考例句：

• I have determined on going to Tibet after graduation.我已决定毕业后去西藏。
• He determined to view the rooms behind the office.他决定查看一下办公室后面的房间。

15 thereby   

adv.因此，从而

参考例句：

• I have never been to that city,,ereby I don't know much about it.我从未去过那座城市，因此对它不怎么熟悉。
• He became a British citizen,thereby gaining the right to vote.他成了英国公民，因而得到了投票权。

16 vent   

n.通风口，排放口；开衩；vt.表达，发泄

参考例句：

• He gave vent to his anger by swearing loudly.他高声咒骂以发泄他的愤怒。
• When the vent became plugged,the engine would stop.当通风口被堵塞时，发动机就会停转。

17 utterances   

n.发声( utterance的名词复数 )；说话方式；语调；言论

参考例句：

• John Maynard Keynes used somewhat gnomic utterances in his General Theory. 约翰·梅纳德·凯恩斯在其《通论》中用了许多精辟言辞。 来自辞典例句
• Elsewhere, particularly in his more public utterances, Hawthorne speaks very differently. 在别的地方，特别是在比较公开的谈话里，霍桑讲的话则完全不同。 来自辞典例句

18 polygonal   

adj.多角形的，多边形的

参考例句：

• The grains take on simple polygonal. 颗粒呈简单的多角形。 来自辞典例句
• Use the necessary instrument Polygonal Lasso Tool to outline the mask contour. 使用多边形套索工具将面膜部分选中。 来自互联网

19 minor   

adj.较小(少)的，较次要的；n.辅修学科；vi.辅修

参考例句：

• The young actor was given a minor part in the new play.年轻的男演员在这出新戏里被分派担任一个小角色。
• I gave him a minor share of my wealth.我把小部分财产给了他。

20 speculative   

adj.思索性的，暝想性的，推理的

参考例句：

• Much of our information is speculative.我们的许多信息是带推测性的。
• The report is highly speculative and should be ignored.那个报道推测的成分很大，不应理会。

21 providence   

n.深谋远虑，天道，天意；远见；节约；上帝

参考例句：

• It is tempting Providence to go in that old boat.乘那艘旧船前往是冒大险。
• To act as you have done is to fly in the face of Providence.照你的所作所为那样去行事，是违背上帝的意志的。

22 supreme   

adj.极度的，最重要的；至高的，最高的

参考例句：

• It was the supreme moment in his life.那是他一生中最重要的时刻。
• He handed up the indictment to the supreme court.他把起诉书送交最高法院。

23 metropolis   

n.首府；大城市

参考例句：

• Shanghai is a metropolis in China.上海是中国的大都市。
• He was dazzled by the gaiety and splendour of the metropolis.大都市的花花世界使他感到眼花缭乱。

24 fictitious   

adj.虚构的，假设的；空头的

参考例句：

• She invented a fictitious boyfriend to put him off.她虚构出一个男朋友来拒绝他。
• The story my mother told me when I was young is fictitious.小时候妈妈对我讲的那个故事是虚构的。

25 fervent   

adj.热的，热烈的，热情的

参考例句：

• It was a debate which aroused fervent ethical arguments.那是一场引发强烈的伦理道德争论的辩论。
• Austria was among the most fervent supporters of adolf hitler.奥地利是阿道夫希特勒最狂热的支持者之一。

26 peroration   

n.（演说等之）结论

参考例句：

• As he worked his way from ethos and logos to the pathos of peroration,he bade us think of the connection between deprivation and belligerence,and to do something about it.当他在演讲中从道义和理念，转到结尾处的感伤时，他请我们考虑贫困与好战的关系，并为此做些什么。
• He summarized his main points in his peroration.他在结束语中总结了他的演讲要点。

27 exhorted   

v.劝告，劝说( exhort的过去式和过去分词 )

参考例句：

• The party leader exhorted his members to start preparing for government. 该党领袖敦促党员着手准备筹建政府。
• He exhorted his elder. 他规劝长辈。 来自《简明英汉词典》

28 divest   

v.脱去，剥除

参考例句：

• I cannot divest myself of the idea.我无法消除那个念头。
• He attempted to divest himself of all responsibilities for the decision.他力图摆脱掉作出该项决定的一切责任。

29 standing   

n.持续，地位；adj.永久的，不动的，直立的，不流动的

参考例句：

• After the earthquake only a few houses were left standing.地震过后只有几幢房屋还立着。
• They're standing out against any change in the law.他们坚决反对对法律做任何修改。

30 narration   

n.讲述，叙述；故事；记叙体

参考例句：

• The richness of his novel comes from his narration of it.他小说的丰富多采得益于他的叙述。
• Narration should become a basic approach to preschool education.叙事应是幼儿教育的基本途径。

31 imprisoned   

下狱，监禁( imprison的过去式和过去分词 )

参考例句：

• He was imprisoned for two concurrent terms of 30 months and 18 months. 他被判处30个月和18个月的监禁，合并执行。
• They were imprisoned for possession of drugs. 他们因拥有毒品而被监禁。

32 enumeration   

n.计数，列举；细目；详表；点查

参考例句：

• Predictive Categoriesinclude six categories of prediction, namely Enumeration, Advance Labeling, Reporting,Recapitulation, Hypotheticality, and Question. 其中预设种类又包括列举(Enumeration)、提前标示(Advance Labeling)、转述(Reporting)、回顾(Recapitulation)、假设(Hypotheticality)和提问(Question)。 来自互联网
• Here we describe a systematic procedure which is basically "enumeration" in nature. 这里介绍一个本质上是属于“枚举法”的系统程序。 来自辞典例句

33 concurred   

同意（concur的过去式与过去分词形式）

参考例句：

• Historians have concurred with each other in this view. 历史学家在这个观点上已取得一致意见。
• So many things concurred to give rise to the problem. 许多事情同时发生而导致了这一问题。

34 imprisonment   

n.关押，监禁，坐牢

参考例句：

• His sentence was commuted from death to life imprisonment.他的判决由死刑减为无期徒刑。
• He was sentenced to one year's imprisonment for committing bigamy.他因为犯重婚罪被判入狱一年。

35 discomfort   

n.不舒服，不安，难过，困难，不方便

参考例句：

• One has to bear a little discomfort while travelling.旅行中总要忍受一点不便。
• She turned red with discomfort when the teacher spoke.老师讲话时她不好意思地红着脸。

36 preclude   

vt.阻止，排除，防止；妨碍

参考例句：

• We try to preclude any possibility of misunderstanding.我们努力排除任何误解的可能性。
• My present finances preclude the possibility of buying a car.按我目前的财务状况我是不可能买车的。

37 forfeited   

（因违反协议、犯规、受罚等）丧失，失去( forfeit的过去式和过去分词 )

参考例句：

• Because he broke the rules, he forfeited his winnings. 他犯规，所以丧失了奖金。
• He has forfeited the right to be the leader of this nation. 他丧失了作为这个国家领导的权利。

38 chamber   

n.房间，寝室；会议厅；议院；会所

参考例句：

• For many,the dentist's surgery remains a torture chamber.对许多人来说，牙医的治疗室一直是间受刑室。
• The chamber was ablaze with light.会议厅里灯火辉煌。

39 phenomena   

n.现象

参考例句：

• Ade couldn't relate the phenomena with any theory he knew.艾德无法用他所知道的任何理论来解释这种现象。
• The object of these experiments was to find the connection,if any,between the two phenomena.这些实验的目的就是探索这两种现象之间的联系，如果存在着任何联系的话。

40 manifestation   

n.表现形式；表明；现象

参考例句：

• Her smile is a manifestation of joy.她的微笑是她快乐的表现。
• What we call mass is only another manifestation of energy.我们称之为质量的东西只是能量的另一种表现形态。

41 derivable   

adj.可引出的，可推论的，可诱导的

参考例句：

• These results are derivable from the theory of quantum mechanics. 这些结果是根据量子力学理论推导出来的。 来自辞典例句

42 frankly   

adv.坦白地，直率地；坦率地说

参考例句：

• To speak frankly, I don't like the idea at all.老实说，我一点也不赞成这个主意。
• Frankly speaking, I'm not opposed to reform.坦率地说，我不反对改革。

43 avows   

v.公开声明，承认( avow的第三人称单数 )

参考例句：

44 destitute   

adj.缺乏的；穷困的

参考例句：

• They were destitute of necessaries of life.他们缺少生活必需品。
• They are destitute of common sense.他们缺乏常识。

45 millennial   

一千年的，千福年的

参考例句：

• Both Russia and America looked to the future to fulfill their millennial expectations. 俄国和美国都把实现他们黄金时代的希望寄托于未来。
• The millennial generation is celebrating the global commons every day, apparently unmindful of Hardin's warning. 千禧一代显然对哈丁的警告不以为然，每天都在颂扬全球“公地”。

46 memoirs   

n.回忆录；回忆录传( mem,自oir的名词复数)

参考例句：

• Her memoirs were ghostwritten. 她的回忆录是由别人代写的。
• I watched a trailer for the screenplay of his memoirs. 我看过以他的回忆录改编成电影的预告片。 来自《简明英汉词典》

47 alas   

int.唉(表示悲伤、忧愁、恐惧等)

参考例句：

• Alas!The window is broken!哎呀！窗子破了！
• Alas,the truth is less romantic.然而，真理很少带有浪漫色彩。

48 precept   

n.戒律；格言

参考例句：

• It occurs to me that example is always more efficacious than precept.我想到身教重于言教。
• The son had well profited by the precept and example of the father.老太爷的言传身教早已使他儿子获益无穷。

49 nay   

adv.不；n.反对票，投反对票者

参考例句：

• He was grateful for and proud of his son's remarkable,nay,unique performance.他为儿子出色的，不，应该是独一无二的表演心怀感激和骄傲。
• Long essays,nay,whole books have been written on this.许多长篇大论的文章，不，应该说是整部整部的书都是关于这件事的。

50 fabric   

n.织物，织品，布；构造，结构，组织

参考例句：

• The fabric will spot easily.这种织品很容易玷污。
• I don't like the pattern on the fabric.我不喜欢那块布料上的图案。