Latest / Daily Classic Sci Fi Books / 08 - Flatland- A Romance of Many Dimensions - Edwin Abbott Abbott
Transcript
- 0:00Speaker 1: Part two, Section eighteen. How I came to Spaceland and
- 0:04Speaker 1: what I saw there? An unspeakable horror seized me. There
- 0:10Speaker 1: was a darkness, then a dizzy, sickening sensation of sight
- 0:14Speaker 1: that was not like seeing. I saw a line that
- 0:18Speaker 1: was no line, space that was not space. I was
- 0:23Speaker 1: myself and not myself. When I could find voice, I
- 0:28Speaker 1: shrieked aloud in agony. Either this is madness or it
- 0:32Speaker 1: is hell. It is neither, calmly replied the voice of
- 0:37Speaker 1: the sphere. It is knowledge. It is three dimensions. Open
- 0:44Speaker 1: your eye once again and try to look steadily. I looked,
- 0:50Speaker 1: and behold a new world. There stood before me, visibly
- 0:57Speaker 1: incorporate all that I had before inferred, conjectured, dreamed of
- 1:04Speaker 1: perfect circular beauty. What seemed the center of the Stranger's
- 1:10Speaker 1: form lay open to my view. Yet I could see
- 1:14Speaker 1: no heart, nor lungs, nor arteries, only a beautiful, harmonious
- 1:21Speaker 1: something for which I had no words. But you, my
- 1:26Speaker 1: readers in Spaceland, would call it the surface of the sphere.
- 1:32Speaker 1: Prostrating myself mentally before my guide, I cried, how is
- 1:37Speaker 1: it o divine ideal of consumate loveliness and wisdom that
- 1:42Speaker 1: I see thy inside, and yet cannot discern thy heart,
- 1:47Speaker 1: thy lungs, thy arteries, thy liver. What you think you see,
- 1:52Speaker 1: you see not, he replied. It is not given to you,
- 1:57Speaker 1: nor to any other being, to behold my internal parts.
- 2:01Speaker 1: I am of a different order of beings from those
- 2:04Speaker 1: in Flatland. Were I a circle, you could discern my intestines.
- 2:10Speaker 1: But I am a being composed, as I told you before,
- 2:14Speaker 1: of many circles, the many in the one called in
- 2:18Speaker 1: this country a sphere. And just as the outside of
- 2:22Speaker 1: a cube is a square, so the outside of a
- 2:26Speaker 1: sphere presents the appearance of a circle. Bewildered though I
- 2:32Speaker 1: was by my teacher's enigmatic utterance, I no longer chafed
- 2:36Speaker 1: against it, but worshiped him in silent adoration. He continued,
- 2:42Speaker 1: with more mildness in his voice. Distress not yourself. If
- 2:46Speaker 1: you cannot at first understand the deeper mysteries of spaceland,
- 2:51Speaker 1: by degrees, they will dawn upon you. Let us begin
- 2:55Speaker 1: by casting back a glance at the region whence you came.
- 3:00Speaker 1: Return with me awhile to the plains of flat Land,
- 3:03Speaker 1: and I will show you that which you have so
- 3:06Speaker 1: often reasoned and thought about, but never seen with the
- 3:09Speaker 1: sense of sight. A visible angle impossible, I cried, But
- 3:18Speaker 1: the sphere leading the way, I followed, as if in
- 3:20Speaker 1: a dream, till once more his voice arrested me. Look yonder,
- 3:26Speaker 1: and behold your own pentagonal house and all its inmates.
- 3:30Speaker 1: Reader's note. The following paragraph refers to a detailed diagram.
- 3:36Speaker 1: The diagram shows the points of the compass, with north
- 3:39Speaker 1: at the top. Next to this, there is a large
- 3:43Speaker 1: equal sided pentagon sitting on a horizontal base. Centrally placed
- 3:49Speaker 1: on the lower left edge of the pentagon, there is
- 3:51Speaker 1: an opening labeled men's door, the size of the opening
- 3:56Speaker 1: being about a quarter of the length of that edge.
- 4:00Speaker 1: This door leads into a large central space labeled the hall,
- 4:04Speaker 1: which is otherwise surrounded by rooms. The position of these
- 4:08Speaker 1: rooms will now be described clockwise from the northern point.
- 4:14Speaker 1: The upper right edge is divided equally between two rooms
- 4:18Speaker 1: labeled in order, my study and my Bedroom. The left
- 4:24Speaker 1: hand wall of the study runs vertically down from the
- 4:27Speaker 1: northern point, and the right hand wall is parallel to
- 4:30Speaker 1: the lower right edge of the pentagon. The study has
- 4:35Speaker 1: a door into the hall, and there is Isosceles triangle
- 4:38Speaker 1: inside labeled the page. Sharing a wall with the study
- 4:44Speaker 1: is my rhomboid shaped bedroom, the right hand wall of
- 4:48Speaker 1: which is the top quarter of the lower right hand
- 4:52Speaker 1: edge of the pentagon. It shares a wall and communicating
- 4:56Speaker 1: door with the room to the south labeled my my
- 5:00Speaker 1: Wife's Apartment. About three tenths down the lower right edge,
- 5:06Speaker 1: there is a narrow opening labeled Women's door. This leads
- 5:10Speaker 1: into a long, narrow room labeled my Wife's apartment. This
- 5:16Speaker 1: room has doorways into my bedroom above, into the hall
- 5:21Speaker 1: to the left, and into the room to the south,
- 5:24Speaker 1: also long and narrow, where a straight line is marked
- 5:28Speaker 1: my daughter. The only door from my Daughter's room is
- 5:32Speaker 1: into my wife's apartment. Continuing clockwise down the lower right
- 5:38Speaker 1: edge of the pentagon, the next room is a long
- 5:41Speaker 1: and wide room with two openings into the hall. Inside
- 5:46Speaker 1: are three isosceles triangles of varying acuteness. The uppermost and
- 5:52Speaker 1: most acute is labeled the scullion, the next and middle
- 5:56Speaker 1: sized is labeled the Footman, and the lowerest and least
- 6:00Speaker 1: acute is labeled the Butler. At the bottom right point
- 6:06Speaker 1: of the pentagon, a large corner room is labeled the
- 6:09Speaker 1: cellar and has a door into the hall. Along the
- 6:14Speaker 1: left half of the bottom or southern edge, there are
- 6:17Speaker 1: two small rooms, each with a door into the hall,
- 6:20Speaker 1: and each with a hexagon inside labeled my grandson's. Continuing
- 6:27Speaker 1: clockwise up the left side of the pentagon, between the
- 6:31Speaker 1: men's door and the northern point, there are four small rooms.
- 6:36Speaker 1: Each of these rooms, labeled my sons, has a pentagon
- 6:40Speaker 1: inside it and a door into the hall. In the
- 6:44Speaker 1: middle of the central hall is a straight line labeled
- 6:48Speaker 1: my wife. Outside the pentagon one At each end of
- 6:52Speaker 1: the bottom or southern edge, are two very acute Isosceles triangles,
- 6:57Speaker 1: each labeled Policeman. End of reader's note. I looked below
- 7:04Speaker 1: and saw with my physical eye all that domestic individuality
- 7:09Speaker 1: which I had hitherto merely inferred with the understanding, And
- 7:14Speaker 1: how poor and shadowy was the inferred conjecture in comparison
- 7:18Speaker 1: with the reality which I now beheld. My four sons
- 7:23Speaker 1: calmly asleep in the northwestern rooms, my two orphan grandsons
- 7:28Speaker 1: to the south, the servants, the butler, my daughter, all
- 7:33Speaker 1: in their several apartments. Only my affectionate wife, alarmed by
- 7:39Speaker 1: my continued absence, had quitted her room, and was roving
- 7:43Speaker 1: up and down in the hall, anxiously awaiting my return. Also,
- 7:48Speaker 1: the page, aroused by my cries, had left his room,
- 7:51Speaker 1: and under pretext of ascertaining whether I had fallen somewhere
- 7:55Speaker 1: in a faint, was prying into the cabinet in my study.
- 8:00Speaker 1: All this I could now see not merely infer and
- 8:06Speaker 1: as we came nearer and nearer, I could discern even
- 8:09Speaker 1: the contents of my cabinet, and the two chests of gold,
- 8:13Speaker 1: and the tablets of which the Sphere had made mention.
- 8:18Speaker 1: Touched by my wife's distress, I would have sprung downward
- 8:21Speaker 1: to reassure her, but I found myself incapable of motion.
- 8:26Speaker 1: Trouble not yourself about your wife, said my guide. She
- 8:31Speaker 1: will not be long left in anxiety. Meantime, let us
- 8:35Speaker 1: take a survey of flat land. Once more, I felt
- 8:39Speaker 1: myself rising through space. It was even as the Sphere
- 8:43Speaker 1: had said. The further we receded from the object we beheld,
- 8:48Speaker 1: the larger became the field of vision. My native city,
- 8:53Speaker 1: with the interior of every house and every creature therein
- 8:57Speaker 1: lay open to my view. In miniature, we mounted higher
- 9:02Speaker 1: and lo the secrets of the earth, the depths of mines,
- 9:07Speaker 1: and inmost caverns of the hills were bared before me.
- 9:12Speaker 1: AWE struck at the sight of the mysteries of the
- 9:15Speaker 1: earth thus unveiled before my unworthy eye. I said to
- 9:19Speaker 1: my companion, Behold, I am become as a god. For
- 9:24Speaker 1: the wise men in our country say that to see
- 9:27Speaker 1: all things, or as they express it, omnividence is the
- 9:31Speaker 1: attribute of God alone. There was something of scorn in
- 9:36Speaker 1: the voice of my teacher as he made answer, Is
- 9:40Speaker 1: it so? Indeed? Then the very pick pockets and cut
- 9:44Speaker 1: throats of my country are to be worshiped by your
- 9:46Speaker 1: wise men as being gods. For there is not one
- 9:51Speaker 1: of them that does not see as much as you
- 9:53Speaker 1: see now. But trust me, your wise men are wrong.
- 9:59Speaker 1: I is omnividence the attribute of others beside God's sphere?
- 10:06Speaker 1: I do not know. But if a pickpocket or a
- 10:09Speaker 1: cutthroat of our country can see everything that is in
- 10:13Speaker 1: your country, surely that is no reason whether pickpocket or
- 10:17Speaker 1: cutthroat should be accepted by you as a god. This omnividence,
- 10:22Speaker 1: as you call it, it is not a common word
- 10:24Speaker 1: in spaceland. Does it make you more just? More merciful,
- 10:29Speaker 1: less selfish, more loving. Not in the least, then, how
- 10:33Speaker 1: does it make you more divine? I more merciful, more loving.
- 10:41Speaker 1: But these are the qualities of women. And we know
- 10:44Speaker 1: that a circle is a higher being than a straight line,
- 10:47Speaker 1: in so far as knowledge and wisdom are more to
- 10:50Speaker 1: be esteemed than mere affection. Sphere, it is not for
- 10:56Speaker 1: me to classify human faculties. According to merit, many of
- 11:00Speaker 1: the best and wisest in spaceland think more of the
- 11:03Speaker 1: affections than of the understanding, more of your despised straight
- 11:08Speaker 1: lines than of your belauded circles. But enough of this,
- 11:13Speaker 1: Look yonder? Do you know that building? I looked, and
- 11:18Speaker 1: afar off I saw an immense polygonal structure, in which
- 11:22Speaker 1: I recognized the General Assembly Hall of the States of Flatland,
- 11:26Speaker 1: surrounded by dense lines of pentagonal buildings at right angles
- 11:30Speaker 1: to each other, which I knew to be streets. And
- 11:33Speaker 1: I perceived that I was approaching the great metropolis. Here
- 11:38Speaker 1: we descend, said my guide. It was now morning, the
- 11:42Speaker 1: first hour of the first day of the two thousandth
- 11:45Speaker 1: year of our era. Acting as was there wont in
- 11:49Speaker 1: strict accordance with precedent, the highest circles of the Realm
- 11:53Speaker 1: were meeting in solemn conclave, as they had met on
- 11:56Speaker 1: the first hour of the first day of the year
- 11:59Speaker 1: one thousand, and also on the first hour of the
- 12:02Speaker 1: first day of the year nought. The minutes of the
- 12:07Speaker 1: previous meetings were now read by one whom I at
- 12:10Speaker 1: once recognized as my brother, a perfectly symmetrical square, and
- 12:15Speaker 1: the Chief Clerk of the High Council. It was found
- 12:19Speaker 1: recorded on each occasion that whereas the states had been
- 12:23Speaker 1: troubled by divers ill intentioned persons, pretending to have received
- 12:27Speaker 1: revelations from another world, and professing to produce demonstrations, whereby
- 12:33Speaker 1: they had instigated to frenzy both themselves and others, it
- 12:37Speaker 1: had been for this cause unanimously resolved by the Grand
- 12:41Speaker 1: Council that on the first day of each millinery, special
- 12:46Speaker 1: injunctions be sent to the prefects in the several districts
- 12:49Speaker 1: of Flatland to make strict search for such misguided persons,
- 12:54Speaker 1: and without formality of mathematical examination, to destroy all such
- 12:59Speaker 1: as were I soosceles of any degree, to scourge and
- 13:02Speaker 1: imprison any regular triangle, to cause any square or pentagon
- 13:07Speaker 1: to be sent to the district asylum, and to arrest
- 13:11Speaker 1: any one of higher rank, sending him straightway to the
- 13:14Speaker 1: capital to be examined and judged by the council. You
- 13:19Speaker 1: hear your fate, said the sphere to me, while the
- 13:22Speaker 1: council was passing for the third time, the formal resolution
- 13:27Speaker 1: death or imprisonment awaits the apostle of the Gospel of
- 13:30Speaker 1: three Dimensions. Not so, replied I. The matter is now
- 13:35Speaker 1: so clear to me, the nature of real space so palpable,
- 13:40Speaker 1: that methinks I could make a child understand it. Permit
- 13:44Speaker 1: me but to descend at this moment and enlighten them?
- 13:48Speaker 1: Not yet, said my guide. The time will come for that.
- 13:53Speaker 1: Meantime I must perform my mission. Stay thou there in
- 13:56Speaker 1: thy place. Saying these words, he leapt with great dexterity
- 14:01Speaker 1: into the sea. If I may say, call it a
- 14:04Speaker 1: flat land. Right in the midst of the ring of councilors,
- 14:08Speaker 1: I come, cried he to proclaim that there is a
- 14:11Speaker 1: land of three dimensions. I could see many of the
- 14:16Speaker 1: younger councilors start back in manifest horror as the Sphere's
- 14:21Speaker 1: circular section widened before them. But on a sign from
- 14:26Speaker 1: the presiding circle, who showed not the slightest alarm or surprise.
- 14:30Speaker 1: Six Isosceles of a lone type, from six different quarters
- 14:34Speaker 1: rushed upon the sphere. We have him, they cried, No, yes,
- 14:40Speaker 1: we have him. Still he's going. He's gone, my lords,
- 14:47Speaker 1: said the President to the junior circles of the Council.
- 14:50Speaker 1: There is not the slightest need for surprise. The secret archives,
- 14:55Speaker 1: to which I alone have access, tell me that a
- 14:58Speaker 1: similar occurrence happened on the last two millennial commencements. You will,
- 15:03Speaker 1: of course, say nothing of these trifles outside the cabinet.
- 15:08Speaker 1: Raising his voice, he now summoned the guard, arrest the policeman,
- 15:13Speaker 1: gag them. You know your duty. After he had consigned
- 15:18Speaker 1: to their fate the wretched policeman, ill fated and unwilling
- 15:23Speaker 1: witnesses of a state secret which they were not to
- 15:25Speaker 1: be permitted to reveal, he again addressed to counselors, my lords,
- 15:31Speaker 1: the business of the Council being concluded, I have only
- 15:34Speaker 1: to wish you a happy new year. Before departing, he
- 15:39Speaker 1: expressed at some lengths to the Clerk, my excellent but
- 15:43Speaker 1: most unfortunate brother, his sincere regret that in accordance with precedent,
- 15:49Speaker 1: and for the sake of secrecy, he must condemn him
- 15:52Speaker 1: to perpetual imprisonment, but added his satisfaction that unless some
- 15:57Speaker 1: mention were made by him of that day's incident, his
- 16:01Speaker 1: life would be spared Section nineteen. How though the sphere
- 16:09Speaker 1: showed me other mysteries of spaceland, I still desired more,
- 16:14Speaker 1: and what came of it? When I saw my poor
- 16:19Speaker 1: brother led away to imprisonment. I attempted to leap down
- 16:22Speaker 1: into the council chamber, desiring to intercede on his behalf,
- 16:26Speaker 1: or at least bid him farewell. But I found that
- 16:29Speaker 1: I had no motion of my own. I absolutely depended
- 16:33Speaker 1: on the volition of my guide, who said, in gloomy tones,
- 16:37Speaker 1: heed not thy brother, haply, thou shalt have ample time
- 16:41Speaker 1: hereafter to condole with him. Follow me Reader's note. The
- 16:48Speaker 1: following paragraph makes reference to a diagram. Diagram one shows
- 16:53Speaker 1: a three dimensional cube with visible edges drawn and hidden
- 16:58Speaker 1: edges dotted, giving it a three dimensional appearance. Horizontal shading
- 17:05Speaker 1: makes it appear that the cube is made up of
- 17:07Speaker 1: many layers. Diagram two shows the same figure, but all
- 17:13Speaker 1: lines indicating perspective are missing. With the effect that it
- 17:18Speaker 1: no longer appears to be solid, but looks like a
- 17:21Speaker 1: two dimensional irregular hexagonal figure. End of reader's note. Once more,
- 17:28Speaker 1: we ascended into space. Hitherto, said the sphere. I have
- 17:33Speaker 1: shown you nought save plain figures and their interiors. Now
- 17:38Speaker 1: I must introduce you to solids, and reveal to you
- 17:41Speaker 1: the plan upon which they are constructed. Behold this multitude
- 17:45Speaker 1: of moveable square cards. See I put one on another,
- 17:51Speaker 1: not as you supposed northward of the other, but on
- 17:54Speaker 1: the other now as second, now a third. See I
- 18:00Speaker 1: am building up a solid by a multitude of squares
- 18:03Speaker 1: parallel to one another. Now the solid is complete, being
- 18:08Speaker 1: as high as it is long and broad, and we
- 18:10Speaker 1: call it a cube. Pardon me, my lord, replied I,
- 18:16Speaker 1: But to my eye, the appearance is as of an
- 18:19Speaker 1: irregular figure whose inside is laid open to the view.
- 18:23Speaker 1: In other words, methinks I see no solid, but a plain,
- 18:28Speaker 1: such as we infer in flat land, only of an
- 18:31Speaker 1: irregularity which betokens some monstrous criminal, so that the very
- 18:36Speaker 1: sight of it is painful to my eyes. True, said
- 18:40Speaker 1: the sphere. It appears to you a plane because you
- 18:44Speaker 1: are not accustomed to light and shade and perspective, just
- 18:49Speaker 1: as in flat land a hexagon would appear a straight
- 18:52Speaker 1: line to one who has not the art of sight recognition,
- 18:57Speaker 1: but in reality it is a solid. Shall learn by
- 19:01Speaker 1: the sense of feeling. He then introduced me to the cube,
- 19:05Speaker 1: and I found that this marvelous being was indeed no plane,
- 19:10Speaker 1: but a solid, and that he was endowed with six
- 19:13Speaker 1: plain sides and eight terminal points called solid angles. And
- 19:20Speaker 1: I remembered the saying of the sphere that just such
- 19:23Speaker 1: a creature as this would be formed by a square
- 19:26Speaker 1: moving in space parallel to himself. And I rejoiced to
- 19:32Speaker 1: think that so insignificant a creature as I could, in
- 19:36Speaker 1: some sense be called the progenitor of so illustrious an offspring.
- 19:42Speaker 1: But still I could not fully understand the meaning of
- 19:45Speaker 1: what my teacher had told me concerning light and shade
- 19:50Speaker 1: and perspective, and I did not hesitate to put my
- 19:54Speaker 1: difficulties before him. Were I to give the spheres explain
- 20:00Speaker 1: nation of these matters, succinct and clear though it was,
- 20:04Speaker 1: it would be tedious to an inhabitant of space who
- 20:07Speaker 1: knows these things already. Suffice it that, by his lucid
- 20:12Speaker 1: statements and by changing the position of objects and lights,
- 20:17Speaker 1: and by allowing me to feel the several objects and
- 20:21Speaker 1: even his own sacred person, he at last made all
- 20:25Speaker 1: things clear to me, so that I could now readily
- 20:28Speaker 1: distinguish between a circle and a sphere, a plain figure
- 20:33Speaker 1: and a solid This was the climax, the paradise of
- 20:39Speaker 1: my strange, eventful history. Henceforth I have to relate the
- 20:45Speaker 1: story of my miserable fall, most miserable, yet surely most undeserved.
- 20:52Speaker 1: For why should the thirst for knowledge be aroused only
- 20:55Speaker 1: to be disappointed and punished. My volition shrinks from the
- 21:01Speaker 1: painful task of recalling my humiliation. Yet, like a second Prometheus,
- 21:07Speaker 1: I will endure this and worse. If by any means
- 21:11Speaker 1: I may arouse in the interiors of plain and solid
- 21:14Speaker 1: humanity a spirit of rebellion against the conceit which would
- 21:18Speaker 1: limit our dimensions to two or three, or any number
- 21:22Speaker 1: short of infinity away, then with all personal considerations, let
- 21:29Speaker 1: me continue to the end as I began, without further
- 21:32Speaker 1: digressions or anticipations, pursuing the plain path of dispassionate history.
- 21:40Speaker 1: The exact facts, the exact words, and they are burnt
- 21:45Speaker 1: in upon my brain shall be set down without alteration
- 21:49Speaker 1: of an iota, and let my readers judge between me
- 21:53Speaker 1: and destiny. The sphere would willingly have continued his lessons
- 21:58Speaker 1: by indoctrinating me in the confirmation of all regular solids, cylinders, cones, pyramids, pentahedrons, hexahedrons, dodecahedrons,
- 22:11Speaker 1: and spheres. But I ventured to interrupt him, not that
- 22:16Speaker 1: I was wearied of knowledge. On the contrary, I thirsted
- 22:20Speaker 1: for yet deeper and fuller drafts than he was offering
- 22:24Speaker 1: to me. Pardon me, said I, O, thou whom I
- 22:31Speaker 1: must no longer addresses the perfection of all beauty? But
- 22:35Speaker 1: let me beg THEE to vouchsafe thy servant a sight
- 22:38Speaker 1: of thine interior sphere. My what I thine interior, thy stomach,
- 22:47Speaker 1: thy intestines sphere? Whence this ill timed, impertinent request? Then
- 22:55Speaker 1: what mean you by saying that I am no longer
- 22:58Speaker 1: the perfection of all beauty? I, my Lord, your own
- 23:03Speaker 1: wisdom has taught me to aspire to one even more great,
- 23:08Speaker 1: more beautiful, and more closely approximate to perfection than yourself.
- 23:14Speaker 1: As you, yourself superior to all flatland forms, combine many
- 23:19Speaker 1: circles in one. So doubtless there is one above you
- 23:23Speaker 1: who combines many spheres in one supreme existence, surpassing even
- 23:30Speaker 1: the solids of spaceland. And even as we who are
- 23:34Speaker 1: now in space look down on flat land and see
- 23:38Speaker 1: the insides of all things, so of a certainty there
- 23:42Speaker 1: is yet above us, some higher, purer region, whither thou
- 23:46Speaker 1: dost surely purpose to lead me. O thou, whom I
- 23:50Speaker 1: shall always call everywhere and in all dimensions, my priest
- 23:54Speaker 1: philosopher and friend, some yet more spacious space, some more
- 24:01Speaker 1: dimensionable dimensionality, from the vantage ground of which we shall
- 24:06Speaker 1: look down together upon the revealed insides of solid things,
- 24:11Speaker 1: and where thine own intestines and those of thy kindred
- 24:15Speaker 1: spheres will lie exposed to the view of the poor
- 24:18Speaker 1: wandering exile from flatland, to whom so much has already
- 24:23Speaker 1: been vouchsafed. Sphere, woof stuff. Enough of this trifling. The
- 24:30Speaker 1: time is short, and much remains to be done before
- 24:34Speaker 1: you are fit to proclaim the Gospel of three dimensions
- 24:37Speaker 1: to your blind, benighted countrymen in flatland. I nay, gracious teacher,
- 24:45Speaker 1: deny me not what I know. It is in thy
- 24:47Speaker 1: power to perform, grant me but one glimpse of Thine interior,
- 24:52Speaker 1: and I am satisfied forever remaining henceforth, thy docile pupil,
- 24:57Speaker 1: thy unemancipable slave, ready to receive all thy teachings, and
- 25:02Speaker 1: to feed upon the words that fall from thy lips.
- 25:07Speaker 1: Sphere well, then to content and silence. You let me
- 25:11Speaker 1: say at once, I would show you what you wish
- 25:13Speaker 1: if I could, But I cannot. Would you have me
- 25:17Speaker 1: turn my stomach inside out to oblige you? I, but
- 25:22Speaker 1: my Lord has shown me the intestines of all my
- 25:25Speaker 1: countrymen in the land of two dimensions, by taking me
- 25:29Speaker 1: with him into the land of three. What therefore more
- 25:32Speaker 1: easy than now to take his servant on a second
- 25:36Speaker 1: journey into the blessed region of the fourth dimension, where
- 25:40Speaker 1: I shall look down with him once more upon this
- 25:43Speaker 1: land of three dimensions, and see the inside of every
- 25:46Speaker 1: three dimensioned house, the secrets of the solid earth, the
- 25:50Speaker 1: treasures of the minds in spaceland, and the intestines of
- 25:54Speaker 1: every solid living creature, even of the noble and adorables sphere.
- 26:03Speaker 1: But where is this land of four dimensions? I I
- 26:08Speaker 1: know not, But doubtless my teacher knows sere not I
- 26:14Speaker 1: there is no such land. The very idea of it
- 26:17Speaker 1: is utterly inconceivable. I your lordship tempts his servant to
- 26:24Speaker 1: see whether he remembers the revelations imparted to him. Trifle
- 26:29Speaker 1: not with me, my lord, I crave, I thirst for
- 26:33Speaker 1: more knowledge. Doubtless we cannot see that other higher spaceland now,
- 26:39Speaker 1: because we have no eye in our stomachs. But just
- 26:43Speaker 1: as there was the realm of flat land, though that poor,
- 26:47Speaker 1: puny lineland monarch could neither turn to left nor right
- 26:51Speaker 1: to discern it. And just as there was close at
- 26:55Speaker 1: hand and touching my frame, the land of three dimensions,
- 27:00Speaker 1: though I blind, senseless wretch had no power to touch it,
- 27:05Speaker 1: no eye in my interior to discern it. So of
- 27:09Speaker 1: a surety there is a fourth dimension, which my lord
- 27:13Speaker 1: perceives with the inner eye of thought. And that it
- 27:17Speaker 1: must exist my lord himself has taught me, Or can
- 27:22Speaker 1: he have forgotten what he himself imparted to his servant
- 27:28Speaker 1: in one dimension? Did not a moving point produce a
- 27:32Speaker 1: line with two terminal points in two dimensions? Did not
- 27:38Speaker 1: a moving line produce a square with four terminal points
- 27:44Speaker 1: in three dimensions? Did not a moving square produce did
- 27:49Speaker 1: not this eye of mine? Behold it that blessed being
- 27:54Speaker 1: a cube with eight terminal points and in four dimensions,
- 28:02Speaker 1: shall not a moving cube alas for analogy and alas
- 28:07Speaker 1: for the progress of truth. If it be not so,
- 28:10Speaker 1: shall not I say the motion of a divine cube
- 28:15Speaker 1: result in a still more divine organization with sixteen terminal points.
- 28:23Speaker 1: Behold the infallible confirmation of the series two, four, eight, sixteen.
- 28:30Speaker 1: Is not this a geometrical progression? Is not this if
- 28:34Speaker 1: I might quote my Lord's own words strictly according to analogy? Again,
- 28:42Speaker 1: was I not taught by my lord that as in
- 28:45Speaker 1: a line there are two bounding points, and in a
- 28:48Speaker 1: square there are four bounding lines, so in a cube
- 28:53Speaker 1: there must be six bounding squares. Behold once more, the
- 28:58Speaker 1: confirming series to two U for six. Is not this an
- 29:03Speaker 1: arithmetical progression? And consequently, does it not of necessity follow
- 29:11Speaker 1: that the more divine offspring of the divine cube in
- 29:14Speaker 1: the land of four dimensions must have eight bounding cubes?
- 29:20Speaker 1: And is not this also, as my Lord has taught
- 29:23Speaker 1: me to believe strictly according to analogy? Oh my Lord,
- 29:29Speaker 1: my lord, behold I cast myself in faith upon conjecture,
- 29:35Speaker 1: not knowing the facts, and I appeal to your Lordship
- 29:39Speaker 1: to confirm or deny my logical anticipations. If I am wrong,
- 29:46Speaker 1: I yield and will no longer demand a fourth dimension.
- 29:50Speaker 1: But if I am right, my lord will listen to reason.
- 29:55Speaker 1: I ask, therefore, is it or is it not? The
- 29:59Speaker 1: fact that ere now your countrymen also have witnessed the
- 30:04Speaker 1: descent of beings of a higher order than their own,
- 30:08Speaker 1: entering closed rooms, even as your Lordship entered mine without
- 30:13Speaker 1: the opening of doors or windows, and appearing and vanishing
- 30:17Speaker 1: at will. On the reply to this question, I am
- 30:20Speaker 1: ready to stake everything deny it, and I am henceforth
- 30:26Speaker 1: silent only that safe an answer sphere after a pause,
- 30:33Speaker 1: it is reported so. But men are divided in opinion
- 30:38Speaker 1: as to the facts, and even granting the facts, they
- 30:43Speaker 1: explain them in different ways. And in any case, however
- 30:47Speaker 1: great may be the number of different explanations, no one
- 30:51Speaker 1: has adopted or suggested the theory of a fourth dimension. Therefore,
- 30:58Speaker 1: pray have done with this trifling and let us return
- 31:01Speaker 1: to business. I I was certain of it. I was
- 31:06Speaker 1: certain that my anticipations would be fulfilled, and now have
- 31:11Speaker 1: patience with me, and answer me yet one more question,
- 31:15Speaker 1: best of teachers, Those who have thus appeared, no one
- 31:20Speaker 1: knows whence, and have returned. No one knows whither have
- 31:25Speaker 1: they also contracted their sections and vanished somehow into that
- 31:29Speaker 1: more spacious space whither I now entreat you to conduct
- 31:34Speaker 1: me sphere moodily. They have vanished, certainly, if they ever appeared.
- 31:43Speaker 1: But most people say that these visions arose from the thought.
- 31:47Speaker 1: You will not understand me from the brain, from the
- 31:51Speaker 1: perturbed angularity of the seer, I say they so, who
- 31:58Speaker 1: believe them not? Or if it indeed be so that
- 32:01Speaker 1: this other space is really thought land, then take me
- 32:06Speaker 1: to that blessed region where I, in thought shall see
- 32:09Speaker 1: the insides of all solid things. There before my ravished eye,
- 32:15Speaker 1: a cube moving in some altogether new direction, but strictly
- 32:20Speaker 1: according to analogy, so as to make every particle of
- 32:24Speaker 1: his interior pass through a new kind of space with
- 32:28Speaker 1: a wake of its own, shall create a still more
- 32:32Speaker 1: perfect perfection than himself, with sixteen terminal extra solid angles
- 32:38Speaker 1: and eight solid cubes for his perimeter. And once there
- 32:43Speaker 1: shall we stay our upward course in that blessed region
- 32:47Speaker 1: of four dimensions. Shall we linger on the threshold of
- 32:51Speaker 1: the fifth and not enter therein? Ah? No, Let us
- 32:56Speaker 1: rather resolve that our ambition shall soar with our corporal assent. Then,
- 33:02Speaker 1: yielding to our intellectual onset, the gates of the sixth
- 33:06Speaker 1: dimension shall fly open. After that a seventh, and then
- 33:10Speaker 1: an eighth. How long I should have continued, I know
- 33:15Speaker 1: not in vain did the Sphere, in his voice of thunder,
- 33:20Speaker 1: reiterate his commands of silence and threaten me with the
- 33:24Speaker 1: direst penalties. If I persisted, nothing could stem the flood
- 33:29Speaker 1: of my ecstatic aspirations. Perhaps I was to blame, but
- 33:35Speaker 1: indeed I was intoxicated with the recent drafts of truth
- 33:40Speaker 1: to which he himself had introduced me. However, the end
- 33:45Speaker 1: was not long in coming. My words were cut short
- 33:49Speaker 1: by a crash outside and a simultaneous crash inside me,
- 33:54Speaker 1: which impelled me through space with a velocity that precluded speech. Down, Down, Down,
- 34:01Speaker 1: I was rapidly descending, and I knew that return to
- 34:05Speaker 1: flat land was my doom. One glimpse, one last and
- 34:11Speaker 1: never to be forgotten glimpse I had of that dull
- 34:15Speaker 1: level wilderness which was now to become my universe again
- 34:19Speaker 1: spread out before my eye, then a darkness, then a final,
- 34:25Speaker 1: all consummating thunder peal, And when I came to myself,
- 34:30Speaker 1: I was once more a common creeping square in my
- 34:35Speaker 1: study at home, listening to the peace cry of my
- 34:39Speaker 1: approaching wife Section twenty. How the sphere encouraged me in
- 34:47Speaker 1: a vision. Although I had less than a minute for reflection,
- 34:52Speaker 1: I felt, by a kind of instinct that I must
- 34:55Speaker 1: conceal my experiences from my wife. Not that I apprehended
- 35:01Speaker 1: at the moment any danger from her divulging my secret.
- 35:05Speaker 1: But I knew that to any woman in flat land,
- 35:08Speaker 1: the narrative of my adventures must needs be unintelligible. So
- 35:13Speaker 1: I endeavored to reassure her by some story invented for
- 35:17Speaker 1: the occasion, that I had accidentally fallen through the trap
- 35:20Speaker 1: door of the cellar and had there Laan stunned. The
- 35:25Speaker 1: southward attraction in our country is so slight that even
- 35:28Speaker 1: to a woman my tale necessarily appeared extraordinary and well
- 35:32Speaker 1: nigh incredible. But my wife, whose good sense far exceeds
- 35:38Speaker 1: that of the average of her sex, and who perceived
- 35:41Speaker 1: that I was unusually excited, did not argue with me
- 35:45Speaker 1: on the subject, but insisted that I was ill and
- 35:48Speaker 1: required repose. I was glad of an excuse for retiring
- 35:52Speaker 1: to my chamber to think quietly over what had happened.
- 35:57Speaker 1: When I was at last by myself, a drows sensation
- 36:01Speaker 1: fell on me. But before my eyes closed, I endeavored
- 36:05Speaker 1: to reproduce the third dimension, and especially the process by
- 36:09Speaker 1: which a cube is constructed through the motion of a square.
- 36:14Speaker 1: It was not so clear as I could have wished,
- 36:17Speaker 1: but I remembered that it must be upward and yet
- 36:20Speaker 1: not northward. And I determined steadfastly to retain these words
- 36:26Speaker 1: as the clue, which if firmly grasped, could not fail
- 36:30Speaker 1: to guide me to the solution. So mechanically repeating like
- 36:35Speaker 1: a charm, the words upward yet not northward, I fell
- 36:40Speaker 1: into a sound, refreshing sleep. During my slumber I had
- 36:46Speaker 1: a dream. I thought I was once more by the
- 36:49Speaker 1: side of the sphere, whose lustrous hue betokened that he
- 36:53Speaker 1: had exchanged his wrath against me for perfect placability. We
- 36:59Speaker 1: were moving together hither towards a bright but infinitesimally small
- 37:03Speaker 1: point to which my master directed my attention. As we approached.
- 37:10Speaker 1: Methought there issued from it a slight humming noise, as
- 37:14Speaker 1: from one of your spaceland blue bottles, only less resonant
- 37:18Speaker 1: by far. So slight, indeed, that even in the perfect
- 37:22Speaker 1: stillness of the vacuum through which we soared, the sound
- 37:26Speaker 1: reached not our ears, till we checked our flight at
- 37:29Speaker 1: a distance from it of something under twenty human diagonals.
- 37:34Speaker 1: Look yonder, said my guide in flat Land. Thou hast
- 37:39Speaker 1: lived of line Land. Thou hast received a vision. Thou
- 37:43Speaker 1: hast soared with me to the heights of spaceland. Now,
- 37:47Speaker 1: in order to complete the range of thy experience, I
- 37:51Speaker 1: conduct thee downward to the lowest depths of existence, even
- 37:57Speaker 1: to the realm of point Land, the abyss of no dimensions.
- 38:03Speaker 1: Behold yon miserable creature. That point is a being like ourselves,
- 38:08Speaker 1: but confined to the non dimensional gulf. He is himself,
- 38:14Speaker 1: his own world, his own universe. Of any other than himself,
- 38:20Speaker 1: he can form no conception. He knows not length, nor breadth,
- 38:25Speaker 1: nor height, for he has had no experience of them.
- 38:30Speaker 1: He has no cognizance even of the number two, nor
- 38:35Speaker 1: has he a thought of plurality, For he is himself,
- 38:38Speaker 1: his one and all being, really nothing yet mark his
- 38:44Speaker 1: perfect self contentment, and hence learn this lesson that to
- 38:49Speaker 1: be self contented is to be vile and ignorant, and
- 38:54Speaker 1: that to aspire is better than to be blindly and
- 38:57Speaker 1: impotently happy. Now listen, he ceased, and there arose from
- 39:05Speaker 1: the little buzzing creature a tiny, low, monotonous but distinct tinkling,
- 39:11Speaker 1: as from one of your space and phonographs, from which
- 39:15Speaker 1: I caught these words.
- 39:17Speaker 2: Infinite beatitude of existence. It is, and there is none
- 39:23Speaker 2: else beside it?
- 39:26Speaker 1: What said I? Does the puny creature mean by it?
- 39:32Speaker 1: He means himself, said the sphere. Have you not noticed
- 39:36Speaker 1: before now that babies and babyish people who cannot distinguish
- 39:40Speaker 1: themselves from the world speak of themselves in the third person?
- 39:45Speaker 1: But hush, it fills all space, continued the little soliloquising creature.
- 39:53Speaker 1: And what it fills it is what it thinks, that
- 39:58Speaker 1: it utters, and what it utters that it hears, And
- 40:05Speaker 1: it itself is thinker utterer, hearer thought, word audition. It
- 40:13Speaker 1: is the one and yet the all in all ah,
- 40:19Speaker 1: the happiness, ah, the happiness of being. Can you not
- 40:26Speaker 1: startle the little thing out of its complacency? Said I?
- 40:31Speaker 1: Tell it what it really is, as you told me.
- 40:34Speaker 1: Reveal to it the narrow limitations of Pointland, and lead
- 40:39Speaker 1: it up to something higher. That is no easy task,
- 40:44Speaker 1: said my master. Try you hereon, raising my voice to
- 40:49Speaker 1: the uttermost, I addressed the pointer as follows. Silence, silence,
- 40:55Speaker 1: contemptible creature. You call yourself the all in all, but
- 41:00Speaker 1: you are the nothing. Your so called universe is a
- 41:03Speaker 1: mere speck in a line, and a line is a
- 41:07Speaker 1: mere shadow as compared with hush, harsh. You have said
- 41:11Speaker 1: enough interrupted the sphere. Now listen and mark the effect
- 41:17Speaker 1: of your harangue on the King of Pointland. The luster
- 41:22Speaker 1: of the monarch, who beamed more brightly than ever upon
- 41:25Speaker 1: hearing my words, showed clearly that he retained his complacency,
- 41:30Speaker 1: and I had hardly ceased when he took up his
- 41:33Speaker 1: strain again.
- 41:35Speaker 2: Ah the joy, ah, the joy of thought. What can
- 41:40Speaker 2: it not achieve by thinking its own thought, coming to
- 41:45Speaker 2: itself suggestive of its disparagement, thereby to enhance its happiness.
- 41:52Speaker 2: Sweet rebellion stirred up to result in triumph. Ah, the
- 41:58Speaker 2: divine creative power of the all in one, Ah, their joy,
- 42:04Speaker 2: the joy of being. You see, said my teacher, how
- 42:10Speaker 2: little your words have done so far. As the monarch
- 42:15Speaker 2: understands them at all, he accepts them as his own,
- 42:20Speaker 2: for he cannot conceive of any other except himself, and
- 42:24Speaker 2: plumes himself upon the variety of its thought as an
- 42:29Speaker 2: instance of creative power. Let us leave this god of
- 42:35Speaker 2: Pointland to the ignorant fruition of his omnipresence and omniscience.
- 42:41Speaker 2: Nothing that you or I can do can rescue him
- 42:45Speaker 2: from his self satisfaction. After this, as we floated gently
- 42:50Speaker 2: back to flatland, I could hear the mild voice of
- 42:54Speaker 2: my companion, pointing the moral of my vision and stimulating
- 42:59Speaker 2: me to aspire and to teach others to aspire. He
- 43:04Speaker 2: had been angered at first he confessed by my ambition
- 43:08Speaker 2: to soar to dimensions above the third, But since then
- 43:12Speaker 2: he had received fresh insight, and he was not too
- 43:16Speaker 2: proud to acknowledge his error to a pupil. Then he
- 43:21Speaker 2: proceeded to initiate me into mysteries yet higher than those
- 43:25Speaker 2: I had witnessed, showing me how to construct extra solids
- 43:29Speaker 2: by the motion of solids, and double extra solids by
- 43:33Speaker 2: the motion of extra solids, and all strictly according to analogy,
- 43:40Speaker 2: all by methods so simple, so easy as to be
- 43:45Speaker 2: patent even to the female sex. End of Section twenty