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1
00:01:52,660 --> 00:01:54,650
Arthur, what's wrong?
2
00:01:54,790 --> 00:01:57,230
I had the most peculiar dream.
3
00:01:57,470 --> 00:01:59,870
No time for dreams. Look at the clock.
4
00:01:59,890 --> 00:02:03,030
You've got 15 minutes to get your
granddaughter to St. Euclid's.
5
00:02:03,390 --> 00:02:05,330
Oh, dear.
6
00:02:07,600 --> 00:02:09,780
It's a beautiful morning, Flatlanders.
7
00:02:09,780 --> 00:02:11,960
But expect heavy traffic along
northern sectors...
8
00:02:12,010 --> 00:02:13,980
Not in the house, young lady!
9
00:02:14,110 --> 00:02:16,100
34, as well as the northern...
10
00:02:16,480 --> 00:02:18,590
- Good morning, Hex.
-Good morning, Grandpa.
11
00:02:18,640 --> 00:02:19,910
I'll fix our lunches.
12
00:02:19,960 --> 00:02:23,050
...heeere's... today's Circle
Axiom of the Day...
13
00:02:23,290 --> 00:02:26,730
...Ready? "Configuration makes the man"...
14
00:02:26,880 --> 00:02:29,770
Configuration makes the man...
15
00:02:47,250 --> 00:02:50,680
So, Hex; did you memorize your
laws of inheritence?
16
00:02:50,750 --> 00:02:52,190
I sure did, grandpa.
17
00:02:52,200 --> 00:02:55,590
Isosceles triangles have baby
equilateral triangles.
18
00:02:55,780 --> 00:02:58,370
Equilateral triangles have baby squares.
19
00:02:58,390 --> 00:03:02,240
Squares have pentagons, pentagons have
hexagons like me!
20
00:03:02,650 --> 00:03:05,380
And each new generation gets one new side.
21
00:03:05,410 --> 00:03:09,690
Until they get so many sides that they look
like a circle and become a priest.
22
00:03:10,080 --> 00:03:11,700
Everybody knows that!
23
00:03:11,750 --> 00:03:15,410
Oh! Do they, little miss six smarty-sides?
24
00:03:15,610 --> 00:03:19,770
So, how does shape affect your
place in society?
25
00:03:20,590 --> 00:03:23,940
Well, that's what the Axiom of the Day
was about, wasn't it?
26
00:03:24,130 --> 00:03:26,140
Triangles work the hard jobs...
27
00:03:26,190 --> 00:03:28,130
...squares get to work in an office...
28
00:03:28,150 --> 00:03:31,710
...but... the circles just make rules that
everybody else has to obey.
29
00:03:31,960 --> 00:03:34,690
Hex, the correct answer is...
30
00:03:34,720 --> 00:03:37,760
...the more sides you have, the
greater your angles.
31
00:03:37,740 --> 00:03:39,550
So, the smarter you are.
32
00:03:39,560 --> 00:03:41,690
But... Grandpa...
33
00:03:41,830 --> 00:03:46,290
I don't feel any smarter than you just because
I have more sides and bigger angles!
34
00:03:46,370 --> 00:03:48,590
Please, sir! She's just a baby!
35
00:03:48,590 --> 00:03:51,160
Section 2.71828...
36
00:03:51,160 --> 00:03:54,400
- All irregular shapes must be inspected...
- Her angles are only off by...
37
00:03:54,670 --> 00:03:58,010
...at the ministry, for correction or disposal!
- ...two degrees! No! No!
38
00:03:58,770 --> 00:04:00,450
Is that what happened to mom and dad?
39
00:04:00,460 --> 00:04:03,000
Hex, not here. Let's go.
40
00:04:08,820 --> 00:04:10,720
Have a good day, Hex.
41
00:04:11,140 --> 00:04:15,040
Grandpa... I really wanna know what
happened to my parents.
42
00:04:15,480 --> 00:04:18,560
Hex. One day, when you're old enough.
43
00:04:18,860 --> 00:04:21,970
Until then, remember what the
circle priests say...
44
00:04:23,190 --> 00:04:26,250
"A still tongue makes a happy life."
45
00:04:49,260 --> 00:04:51,590
- Slow down, square.
- Hey, what's your problem?
46
00:04:51,630 --> 00:04:53,690
Can't be late, can't be late. Can't be late.
47
00:04:53,730 --> 00:04:57,030
Aarthurr Squaarre.
48
00:04:57,210 --> 00:04:58,700
Oh, Miss Helios. I...
49
00:04:58,700 --> 00:05:01,360
I thought I had made it clear...
50
00:05:01,420 --> 00:05:05,550
...that I expect all ministry employees
to arrive on time!
51
00:05:06,050 --> 00:05:10,170
There are a dozen squares from other divisions
who'd give an angle to be in your position!
52
00:05:10,440 --> 00:05:12,630
Is that what you would prefer?!
53
00:05:12,640 --> 00:05:15,100
No, ma'am. No, certainly not. My apologies.
54
00:05:15,160 --> 00:05:17,020
Get to your squaricle!
55
00:05:17,060 --> 00:05:18,700
Now!
56
00:05:21,680 --> 00:05:23,620
Late again, brother?
57
00:05:23,640 --> 00:05:26,020
I was late taking Hex to school.
58
00:05:26,700 --> 00:05:28,020
You know...
59
00:05:28,050 --> 00:05:30,140
...you're a decent grandfather...
60
00:05:30,540 --> 00:05:32,900
...taking her in after you.
61
00:05:34,560 --> 00:05:37,100
I should have done more.
62
00:05:38,890 --> 00:05:40,660
You're only a square!
63
00:05:40,690 --> 00:05:43,680
Four vertices, 90 degrees and no more.
64
00:05:43,710 --> 00:05:45,730
Thanks, brother.
65
00:05:47,050 --> 00:05:50,540
Hey, hey! You remember when we dreamed about
being something more?
66
00:05:51,840 --> 00:05:54,040
Ah! The brother square.
67
00:05:54,080 --> 00:05:56,540
Yes! Scientists, mathematicians...
68
00:05:56,670 --> 00:05:58,990
And adventurers, extraordinaire!
69
00:05:59,020 --> 00:06:02,520
- No problem that couldn't be solved!
- No equation without a solution!
70
00:06:02,550 --> 00:06:05,000
And no chance of ever happening.
71
00:06:05,560 --> 00:06:07,350
Back to work.
72
00:06:07,510 --> 00:06:09,230
Know your places!
73
00:06:09,330 --> 00:06:12,640
You'll never be more than
four sides of mediocrity!
74
00:06:12,690 --> 00:06:15,260
That circle sure gets around.
75
00:06:15,810 --> 00:06:18,200
Listen, I have to tell you something.
76
00:06:18,570 --> 00:06:20,110
What is it?
77
00:06:20,110 --> 00:06:22,370
I had the strangest dream last night.
78
00:06:22,380 --> 00:06:27,210
All employees proceed to the assembly room
for a mandatory briefing.
79
00:06:27,610 --> 00:06:29,290
Immediately!
80
00:06:33,510 --> 00:06:38,480
A happy and coordinated new
millennium to you all.
81
00:06:39,310 --> 00:06:41,990
Our gracious Circle of High Circles...
82
00:06:42,100 --> 00:06:45,340
...wishes you all another year of
productive employment...
83
00:06:45,430 --> 00:06:48,590
...serving the Ministry of Regularity.
84
00:06:48,870 --> 00:06:51,530
His roundness, Pantocyclus...
85
00:06:51,560 --> 00:06:54,980
...hereby bestows the following proclamations:
86
00:06:55,410 --> 00:06:58,770
- What now? More polygon taxes?
- Shh!
87
00:06:59,470 --> 00:07:01,950
Every new millennium...
88
00:07:02,140 --> 00:07:06,580
...the State has been troubled by
ill-intentioned persons...
89
00:07:06,970 --> 00:07:10,800
...pretending to have received revelations
from another world...
90
00:07:12,110 --> 00:07:15,020
...a third dimension.
91
00:07:16,440 --> 00:07:19,570
Such a notion is of course absurd...
92
00:07:19,570 --> 00:07:22,820
...and, furthermore, illegal!
93
00:07:24,480 --> 00:07:26,250
In addition...
94
00:07:26,390 --> 00:07:30,930
...these people claim that
forbidden area 33H...
95
00:07:31,320 --> 00:07:35,200
...holds evidence to support
their heretical claims.
96
00:07:37,480 --> 00:07:41,350
These delusional and dangerous individuals...
97
00:07:41,580 --> 00:07:44,150
...no matter what shape or age...
98
00:07:44,290 --> 00:07:48,670
...must be reported immediately to
any Circle Superior.
99
00:07:50,550 --> 00:07:54,430
The Circle of Circles has spoken!
100
00:08:02,520 --> 00:08:04,820
- Arthur! - Oh.
101
00:08:04,860 --> 00:08:07,370
- Sorry. What is it?
- Arthur, dear.
102
00:08:07,580 --> 00:08:10,660
Have you been listening? Hex asked
you a question.
103
00:08:11,090 --> 00:08:16,020
Grandpa, today the schoolmaster told us
about the Circles' new proclamation,
and I have a question.
104
00:08:16,460 --> 00:08:18,210
Go ahead, Hex.
105
00:08:18,220 --> 00:08:21,380
What exactly is... a dimension?
106
00:08:22,140 --> 00:08:25,160
Oh, well... It might be hard to explain...
107
00:08:26,210 --> 00:08:28,920
Everything is so hard to explain...
108
00:08:32,900 --> 00:08:37,020
But you know what? I used to do quite a
bit of geometry in my day.
109
00:08:41,180 --> 00:08:45,540
Okay. Let's pretend this is a point in space.
110
00:08:45,610 --> 00:08:48,730
And we extend it three units.
111
00:08:48,790 --> 00:08:52,380
We have what? We have three
to the first power, right?
112
00:08:53,110 --> 00:08:56,680
Alright, we also have a one-dimensional
line segment...
113
00:08:56,790 --> 00:08:58,850
...that is three units long.
114
00:08:59,000 --> 00:09:04,420
So if we take this line segment of three units
and move it three units parallel to itself...
115
00:09:04,910 --> 00:09:08,230
...we make a square of three units
on each side, or...
116
00:09:08,450 --> 00:09:11,120
...three times three. Three to the
second power.
117
00:09:11,360 --> 00:09:13,970
- Nine units in a square.
- Smart girl!
118
00:09:14,610 --> 00:09:17,810
- I've seen this before.
- Huh? Where?
119
00:09:18,130 --> 00:09:20,290
It looks so familiar... I...
120
00:09:20,990 --> 00:09:22,950
I remember now!
121
00:09:22,990 --> 00:09:27,090
I... once saw a picture of... of area 33H!
122
00:09:27,190 --> 00:09:30,560
- Area 33H?
- Yeah, you know, the old ruins.
123
00:09:30,730 --> 00:09:34,030
Please, Hex. You're too smart to listen to
those conspiracy theories.
124
00:09:34,260 --> 00:09:36,420
Some people say they're a sign.
125
00:09:36,630 --> 00:09:39,380
Those "people" should watch what they say.
126
00:09:39,690 --> 00:09:44,190
Grandpa, if a point moves three units,
that's three in the first power.
127
00:09:44,200 --> 00:09:47,200
Then... that line segment moves
parallel to itself...
128
00:09:47,430 --> 00:09:50,860
...making a square of nine units, three to
the second power.
129
00:09:51,000 --> 00:09:55,090
So, it must be that... a square moving...
130
00:09:55,480 --> 00:09:57,850
...somehow parallel to itself...
131
00:09:58,220 --> 00:09:59,900
...can make something else!
132
00:09:59,930 --> 00:10:04,370
Like a... super square, that represents
three to the third power...
133
00:10:04,370 --> 00:10:06,480
...or, twenty-seven units.
134
00:10:07,760 --> 00:10:09,900
It's so hard to imagine...
135
00:10:09,910 --> 00:10:12,460
...but wouldn't that be amazing?
136
00:10:12,540 --> 00:10:14,970
A super square! In the third dimension!
137
00:10:14,970 --> 00:10:17,080
- Please, Hex!
- Maybe a super hexagon?
138
00:10:17,080 --> 00:10:19,300
- It would be...
- You know the Circles' proclamation.
139
00:10:19,300 --> 00:10:22,250
- It's too dangerous to believe in
such foolishness.
- Why?
140
00:10:22,350 --> 00:10:25,280
Why? Because the Circles are
wise, that's why.
141
00:10:25,370 --> 00:10:28,200
- What makes them so wise?
- Their configuration, of course.
142
00:10:28,310 --> 00:10:30,090
- Their infinite sides! Hex...
- I wonder...
143
00:10:30,090 --> 00:10:33,230
...what's so special about area 33H?
144
00:10:33,320 --> 00:10:35,820
- Hex!
- I bet that it has a clue to explain all this!
145
00:10:36,120 --> 00:10:38,680
I bet if we could get there, we'd see
a super square!
146
00:10:38,780 --> 00:10:41,560
- Or maybe even a super hexagon!
- Hex, enough!
147
00:10:41,690 --> 00:10:44,410
No grandchild of mine would matter
with such heresy!
148
00:10:44,510 --> 00:10:46,460
Go to your room. Now!
149
00:10:47,790 --> 00:10:50,060
Arthur.. What have you done?
150
00:10:50,430 --> 00:10:52,330
Hex is going down a dangerous path.
151
00:10:52,320 --> 00:10:54,590
The Circles don't tolerate curiosity.
152
00:10:54,620 --> 00:10:56,710
Apparently, neither do you.
153
00:10:56,850 --> 00:11:00,370
I'll talk to Hex. You... calm down.
154
00:11:06,530 --> 00:11:09,970
- Hex?
- Why did he have to yell at me?
155
00:11:10,350 --> 00:11:12,520
He only wants to protect you.
156
00:11:12,810 --> 00:11:14,610
From what?
157
00:11:14,710 --> 00:11:17,340
Some ideas are dangerous, dear.
158
00:11:18,170 --> 00:11:19,650
But why?
159
00:11:19,670 --> 00:11:22,590
You're very curious about the world.
160
00:11:22,960 --> 00:11:25,180
So was your grandfather once.
161
00:11:25,790 --> 00:11:28,570
Maybe you can help each other
find some answers.
162
00:11:30,010 --> 00:11:32,930
Hex... I have something to give you.
163
00:11:33,990 --> 00:11:36,050
These belonged to your mother.
164
00:11:37,020 --> 00:11:39,140
Don't tell grandpa I gave them to you.
165
00:12:06,010 --> 00:12:09,780
Arlene? Hex? Hello?
166
00:12:10,530 --> 00:12:12,570
Hello, anyone there?
167
00:12:16,300 --> 00:12:19,060
- Me, me, me, me. Me, me, me, me.
- Hello?
168
00:12:19,120 --> 00:12:22,280
- Me, me, me, me. Me, me, me, me...
- Hello!
169
00:12:22,280 --> 00:12:26,580
O-oh? Did me say hello? Me is so funny.
170
00:12:26,710 --> 00:12:29,800
- Hello, me! Hello, me! Helloooo!
- Hello?
171
00:12:30,070 --> 00:12:33,050
- Excuse me, sir. Over here.
- Over here.
172
00:12:33,130 --> 00:12:36,320
Why, here be Pointland. Me be
King of Pointland!
173
00:12:36,510 --> 00:12:39,380
My own infinite universe of zero dimensions!
174
00:12:39,590 --> 00:12:41,760
Zero! King!
175
00:12:41,920 --> 00:12:44,800
Zero, king! Me be king, me be king!
176
00:12:44,830 --> 00:12:46,870
Me, me, me, me. Me, me, me, me...
177
00:12:46,870 --> 00:12:48,740
- I don't mean to be rude, but there are...
- Me, me, me, me...
178
00:12:49,110 --> 00:12:53,390
...two of us here.
- Two? What funny gibberish words me makes up.
179
00:12:53,720 --> 00:12:56,880
Two, me. Me, two. Two two two.
Me me me me me me me!
180
00:12:57,990 --> 00:13:00,070
- What a foolish creature you are.
- Me, me, me, me.
181
00:13:00,070 --> 00:13:03,830
Me, me, me, me...
182
00:13:03,880 --> 00:13:07,320
My Queen of the Left, my Queen of the Right!
183
00:13:07,320 --> 00:13:10,110
Let's hear it, come on, hit me.
Bring it on, come on.
184
00:13:10,110 --> 00:13:12,700
- Bring the magic!
- Hail to the King!
185
00:13:12,790 --> 00:13:14,570
That's right!
186
00:13:14,600 --> 00:13:18,020
I'm the King, my line segment subjects.
187
00:13:18,030 --> 00:13:22,230
- Hello?
- What? Who? Who dares disturb
our royal ritual?
188
00:13:22,390 --> 00:13:25,530
Oh, I'm sorry sir. My name is Arthur Square.
189
00:13:25,580 --> 00:13:27,870
Where are you, insolent subject?
190
00:13:28,000 --> 00:13:31,010
- Reveal thyself!
- Can't you see me, sir?
191
00:13:32,420 --> 00:13:37,310
You shall refer to me as
"His Royal King of Lineland"!
192
00:13:37,600 --> 00:13:40,810
My apologies, your Royal King of Lineland.
193
00:13:41,050 --> 00:13:45,060
- I'm right here, above you.
- Above... What do you mean by this?
194
00:13:45,490 --> 00:13:49,220
Are you not familiar with the directions of
above and below, your grace?
195
00:13:49,220 --> 00:13:51,900
You jest, Arthur of Above.
196
00:13:52,120 --> 00:13:56,370
The youngest child knows space consists of
the two directions:
197
00:13:56,460 --> 00:13:58,480
Left and Right.
198
00:13:58,530 --> 00:14:01,180
Oh, your majesty, you refer to Length.
199
00:14:01,240 --> 00:14:04,590
Oh! Length and space are the same.
200
00:14:05,030 --> 00:14:08,220
Oh, no sir. There you are wrong, I'm afraid.
201
00:14:08,430 --> 00:14:12,730
Your majesty, space does not consist of
only your line, but also of Width...
202
00:14:12,880 --> 00:14:16,090
...forming the vast two-dimensional
plane of Flatland.
203
00:14:16,210 --> 00:14:17,720
Heresy!
204
00:14:17,840 --> 00:14:23,530
Exhibit to me, please, this notion of
"above" and "below".
205
00:14:23,530 --> 00:14:28,500
Alright, your grace. I shall enter your world
from "above" and show you.
206
00:14:28,670 --> 00:14:31,840
- Hi!
- Dude, you're freakin' me out!
207
00:14:32,170 --> 00:14:35,900
How did you just like "appear"
suddenly, Arthur of Above?
208
00:14:36,040 --> 00:14:38,090
Don't you understand, your majesty?
209
00:14:38,230 --> 00:14:43,060
- Look!
- Ha. He's gone. He's dead. Heh.
210
00:14:43,370 --> 00:14:45,210
He's not dead.
211
00:14:45,210 --> 00:14:46,860
He's here, below you.
212
00:14:48,340 --> 00:14:53,120
Monster! Be thou juggler, enchanter,
dream or devil...
213
00:14:53,200 --> 00:14:55,960
...no more will I endure thy mockeries.
214
00:14:56,060 --> 00:14:59,130
You will now totally perish!
215
00:15:01,490 --> 00:15:04,980
- Take that, you monster!
- Such a simple minded fellow.
216
00:15:08,330 --> 00:15:09,730
Hello?
217
00:15:09,850 --> 00:15:13,770
Where in the Mandelbrot set am I...
Can anybody hear me?
218
00:15:20,620 --> 00:15:23,470
Oh, dear. I'm sleepwalking now?
219
00:15:24,620 --> 00:15:27,020
Hex's foolishness has given me nightmares.
220
00:15:27,050 --> 00:15:31,700
- The child is no fool, Arthur Square.
- Who's here? Show yourself!
221
00:15:31,810 --> 00:15:34,480
I'm above you. Look up!
222
00:15:34,920 --> 00:15:37,780
Your voice! It comes from everywhere!
223
00:15:38,110 --> 00:15:40,170
And yet from inside me!
224
00:15:42,920 --> 00:15:45,360
- Who are you?
- I will show you.
225
00:15:47,930 --> 00:15:50,740
My name is Spherius.
226
00:15:50,820 --> 00:15:54,310
Oh, Great Circle priest. I apologize
for my presumption.
227
00:15:55,040 --> 00:15:58,480
Arthur, I am not one of
your petty politicians.
228
00:15:58,620 --> 00:16:00,670
I am not a circle, either.
229
00:16:00,780 --> 00:16:05,240
To be more accurate, I am an infinite
number of circles in one.
230
00:16:05,410 --> 00:16:08,650
A more perfect circle than any in Flatland.
231
00:16:08,650 --> 00:16:12,760
I am a Solid, something which you
do not as yet know.
232
00:16:13,060 --> 00:16:15,850
- Where did you come from?
- I come from space.
233
00:16:15,850 --> 00:16:19,930
- The third dimension.
- Space? But we're in space now!
234
00:16:20,120 --> 00:16:23,560
Your knowledge of space is limited to
Length and Width.
235
00:16:23,880 --> 00:16:26,670
I have come to inform you of "Height".
236
00:16:26,670 --> 00:16:29,240
Absurd! Where is this "Height"?
237
00:16:29,240 --> 00:16:31,460
It is above, and below you.
238
00:16:31,460 --> 00:16:35,700
- Southward and northward?
- I mean, a direction in which you can't look.
239
00:16:35,700 --> 00:16:40,000
Just as the King of Lineland could not
look above or below.
240
00:16:40,030 --> 00:16:42,060
But from which direction do you speak?
241
00:16:42,490 --> 00:16:45,500
And how do you appear and disappear like that?
242
00:16:45,630 --> 00:16:50,230
Just as when you entered Lineland and they
only viewed you as a line segment...
243
00:16:50,230 --> 00:16:55,180
...when I enter Flatland, you are only
capable of seeing me as a circle...
244
00:16:55,180 --> 00:16:57,830
...a cross-section of my true self.
245
00:16:57,830 --> 00:17:00,810
I can't fathom the method of
your magic, Spherius.
246
00:17:01,130 --> 00:17:04,680
- Are the Circles testing me?
- Ah. For the last time...
247
00:17:04,840 --> 00:17:07,220
I am not a circle.
248
00:17:07,520 --> 00:17:10,170
My stomach! What do you want from me?
249
00:17:10,170 --> 00:17:12,580
Arthur, our time is short.
250
00:17:12,800 --> 00:17:15,070
I have come to reveal the truth...
251
00:17:15,070 --> 00:17:17,770
...of the third dimension.
252
00:17:18,340 --> 00:17:20,970
A third dimension? Spherius!
253
00:17:24,420 --> 00:17:28,100
Help! Either this is madness or this is hell!
254
00:17:31,590 --> 00:17:34,840
It is neither. It is knowledge.
255
00:17:35,030 --> 00:17:38,760
It is truth. It is three dimensions.
256
00:17:39,220 --> 00:17:41,120
"Spaceland".
257
00:17:43,060 --> 00:17:45,660
Oh, this is astonishing!
258
00:17:45,930 --> 00:17:48,880
I can see inside everything!
259
00:17:48,880 --> 00:17:51,370
- O-oh...
- What is it?
260
00:17:51,830 --> 00:17:55,400
I can see inside everyone's bodies,
and I'm going to be sick!
261
00:17:56,450 --> 00:17:59,130
- Hold on.
- Ok. I'm holding.
262
00:18:00,110 --> 00:18:02,430
Oh my. Whooa!
263
00:18:13,310 --> 00:18:17,370
And I always thought Flatland
was our universe!
264
00:18:17,370 --> 00:18:20,770
And yet the evidence was right
in front of you...
265
00:18:20,770 --> 00:18:22,940
...waiting to be discovered.
266
00:18:31,570 --> 00:18:33,160
Those shapes...
267
00:18:36,250 --> 00:18:39,300
A point, a line, a square and a...
268
00:18:39,680 --> 00:18:41,770
It's called a "Cube".
269
00:18:42,360 --> 00:18:44,530
A shape from Spaceland.
270
00:18:46,200 --> 00:18:51,400
Thousands of years ago, these monuments were
given to Flatland as a sign.
271
00:18:51,750 --> 00:18:55,180
A sign, so you might understand Spaceland...
272
00:18:55,180 --> 00:18:57,540
...even without seeing it.
273
00:19:02,710 --> 00:19:06,330
- Do the Circles know of this?
- Of course.
274
00:19:06,330 --> 00:19:10,870
Who would obey their rules, if all could see
Flatland as you do now?
275
00:19:40,520 --> 00:19:45,800
Ooh, look at that! Hard to believe,
look at this!
276
00:20:24,810 --> 00:20:28,000
My dear granddaughter, what wisdom you spoke!
277
00:20:28,000 --> 00:20:30,460
You'll make us all proud, someday.
278
00:20:30,600 --> 00:20:32,460
More than you know.
279
00:20:32,520 --> 00:20:37,520
But tell me, Spherius. Hex imagined
that powers in arithmetic...
280
00:20:37,630 --> 00:20:40,960
...could translate to geometrical dimensions.
281
00:20:41,040 --> 00:20:44,040
- Correct.
- So, by analogy...
282
00:20:44,040 --> 00:20:47,750
...there must be a fourth dimension,
perhaps more...
283
00:20:47,750 --> 00:20:50,020
...of fifth and even sixth dimension?
284
00:20:50,020 --> 00:20:54,480
I came to reveal the truth of
the third dimension. No more.
285
00:20:55,240 --> 00:20:57,050
But surely in Spaceland...
286
00:20:57,080 --> 00:21:00,730
...beings from the fourth dimension have
come to proclaim their existence?
287
00:21:00,920 --> 00:21:04,010
Oh. There is a new rumour and myth...
288
00:21:04,010 --> 00:21:08,230
...sightings of spirits that appear
and disappear at will.
289
00:21:08,580 --> 00:21:10,800
And you've seen such beings?
290
00:21:11,910 --> 00:21:16,940
I find the very idea of a fourth dimension
utterly inconceivable.
291
00:21:16,940 --> 00:21:19,370
- But!
- Arthur, time is short.
292
00:21:19,720 --> 00:21:24,700
Remember what you have seen. The knowledge
of the third dimension.
293
00:21:25,320 --> 00:21:28,650
Now, you must return to Flatland.
294
00:21:30,790 --> 00:21:33,330
- Spherius!
- Arthur, what is it?
295
00:21:33,360 --> 00:21:35,230
I... I...
296
00:21:36,120 --> 00:21:38,170
More dreams?
297
00:21:38,580 --> 00:21:41,720
No, no. It was real.
298
00:21:52,860 --> 00:21:56,570
Tonight our world faces a grave threat.
299
00:21:56,570 --> 00:22:00,060
Have our spies begun monitoring the pop-ins?
300
00:22:00,170 --> 00:22:04,870
- Yes, your Lordship.
- The Prophet has not yet made himself known.
301
00:22:05,310 --> 00:22:11,310
They would choose a lower class of shape,
one who will fall for the deceptions.
302
00:22:11,310 --> 00:22:13,800
We will find him, no doubt.
303
00:22:14,260 --> 00:22:16,700
Make certain I am the first to know.
304
00:22:16,830 --> 00:22:20,730
The truth of the third dimension must
never leave this chamber.
305
00:22:20,890 --> 00:22:24,510
The Prophet must not live to tell his tale!
306
00:22:27,950 --> 00:22:29,900
Good morning Hex!
307
00:22:29,900 --> 00:22:32,170
Hex! Hex?
308
00:22:32,170 --> 00:22:35,150
Didn't she tell you? She said she had to
go somewhere today.
309
00:22:37,930 --> 00:22:41,530
Oh, Hex. I wanted you to be the first to know.
310
00:22:42,370 --> 00:22:44,720
I hope you can forgive me.
311
00:23:07,850 --> 00:23:09,800
- Abbott!
- Arthur?
312
00:23:09,800 --> 00:23:12,180
Do you remember I told you I had a dream?
313
00:23:12,260 --> 00:23:16,640
I had a dream, Arthur. I dreamed you
showed up to work on time!
314
00:23:17,210 --> 00:23:19,270
Miss Helios, Miss Helios!
315
00:23:19,270 --> 00:23:23,030
- We have an intruder at area 33H!
- A what?
316
00:23:23,030 --> 00:23:25,300
An intruder? Aah!
317
00:23:25,300 --> 00:23:29,550
Secure the area, and don't send any angles
inside those ruins 'till I arrive!
318
00:23:29,550 --> 00:23:31,630
Do you understand?!
319
00:23:31,630 --> 00:23:33,090
Abbott, listen to me.
320
00:23:33,090 --> 00:23:35,690
All guards, report to area 33H!
321
00:23:35,690 --> 00:23:38,180
Security breach! Security breach!
322
00:23:41,750 --> 00:23:45,640
I wonder what's so special about area 33H...
323
00:23:45,970 --> 00:23:48,460
She said she had to go somewhere today...
324
00:23:49,030 --> 00:23:51,920
Area 33H. We gotta go!
325
00:23:51,920 --> 00:23:55,680
Arthur? Tell me you don't have
anything to do with this.
326
00:23:55,680 --> 00:23:59,870
All guards, report to area 33H!
327
00:23:59,870 --> 00:24:03,820
Please, trust me. Do you still have clearance
to the ministry garage?
328
00:24:03,980 --> 00:24:07,990
Oh. No, no no no! No! You're not serious!
329
00:24:11,510 --> 00:24:14,100
Are you crazy? Slow down!
330
00:24:14,700 --> 00:24:18,080
- Hex is in danger.
- Stealing a ministry car?!
331
00:24:18,760 --> 00:24:22,350
Wait. Hex? What are you talking about?
332
00:24:29,740 --> 00:24:31,930
This is awesome!
333
00:24:36,370 --> 00:24:39,070
Point, zero.
334
00:24:40,150 --> 00:24:42,700
Line, one.
335
00:24:46,020 --> 00:24:49,270
She's trying to prove the existence
of the third dimension.
336
00:24:49,220 --> 00:24:53,650
Third dimension? Wonderful. We're going to
be truncated.
337
00:24:57,330 --> 00:24:59,770
Square, two.
338
00:25:02,690 --> 00:25:04,610
I was right!
339
00:25:23,570 --> 00:25:25,570
Keep the guards occupied.
340
00:25:25,570 --> 00:25:28,930
- How am I supposed to do that?
- You'll think of something.
341
00:25:29,040 --> 00:25:31,850
Remember, "no equation without a solution"?
342
00:25:31,850 --> 00:25:35,180
And... No puzzle that couldn't be solved!
343
00:25:35,180 --> 00:25:38,450
This puzzle has been waiting
one thousand years.
344
00:25:38,450 --> 00:25:40,750
I know I can count on you.
345
00:25:43,650 --> 00:25:47,540
Hello, gentlemen! Nice to see you today!
346
00:25:49,980 --> 00:25:52,600
Whoa, nice toys you got there...
347
00:25:52,600 --> 00:25:54,840
Oh! Not that angle!
348
00:26:02,770 --> 00:26:05,310
- Hex? Hex!
- Grandpa?
349
00:26:05,310 --> 00:26:08,480
- Hex!
- Oh, grandpa, I'm scared!
350
00:26:08,480 --> 00:26:13,210
I just found mom's journals on cubic equations
and her third dimension theories...
351
00:26:13,210 --> 00:26:17,460
...and all I wanted was to see
what she... I just...
352
00:26:17,460 --> 00:26:20,220
...grandpa, I didn't mean to...
- Hex, Hex! It's OK.
353
00:26:20,220 --> 00:26:23,220
- You were right all along!
- Oh Grandpa...
354
00:26:23,220 --> 00:26:26,520
Hex, I'm sorry I never told you
about your parents.
355
00:26:26,520 --> 00:26:31,500
They perished at the hands of the Circles,
after your mother presented her ideas
on three dimensions.
356
00:26:35,670 --> 00:26:39,180
- Hex, do you trust me?
- Of course I do.
357
00:26:39,180 --> 00:26:42,750
Alright. I want you to never forget
what you're about to see.
358
00:26:43,300 --> 00:26:45,760
And to never forget how much I love you.
359
00:26:45,760 --> 00:26:49,520
I won't... I love you too, grandpa.
360
00:27:01,120 --> 00:27:02,480
Sweet!
361
00:27:16,620 --> 00:27:19,440
Mister Arthur Square!
362
00:27:19,760 --> 00:27:24,440
- Miss Helios!
- So, it was you, you 90-degree traitor!
363
00:27:24,660 --> 00:27:28,630
A ministry employee, no less!
You are the trespasser!
364
00:27:28,630 --> 00:27:32,910
Arthur, this is all a big mistake, right?
Tell 'em!
365
00:27:32,910 --> 00:27:36,860
Abbott. The third dimension... is real.
366
00:27:40,020 --> 00:27:43,380
It just so happens that I know some people...
367
00:27:43,380 --> 00:27:47,920
...who would be very happy to
hear of your "third dimension"!
368
00:27:58,450 --> 00:28:00,850
Arthur, what's happening?
369
00:28:00,850 --> 00:28:04,510
- W-where's Hex?
- Arlene, Hex is fine.
370
00:28:04,510 --> 00:28:08,640
Listen, I can prove there is
another dimension to space.
371
00:28:08,640 --> 00:28:13,190
We're all ignorant of a new and wonderful
universe that is upward!
372
00:28:14,650 --> 00:28:19,090
- To the north?
- No, upward. Not northward.
373
00:28:19,520 --> 00:28:22,090
Whatever. Sit down, lady.
374
00:28:23,360 --> 00:28:25,850
I want to believe, Arthur.
375
00:28:27,360 --> 00:28:29,880
This had better go as planned.
376
00:28:29,880 --> 00:28:33,510
I've heard enough about the third dimension
to last another millenium.
377
00:28:33,690 --> 00:28:36,350
This is all a big mistake! It's a mistake!
378
00:28:36,350 --> 00:28:41,380
I'm live from the trial of heretic
Arthur Square, who defy the
proclamation of the Circles by...
379
00:28:41,380 --> 00:28:46,220
...claiming knowledge of a third dimension
he calls "Height".
380
00:28:47,300 --> 00:28:49,200
Arthur Square...
381
00:28:49,200 --> 00:28:52,600
You stand before the Supreme Court
of Circles...
382
00:28:52,600 --> 00:28:56,230
...accused of making the most
blasphemous of claims...
383
00:28:56,230 --> 00:28:59,020
...in defiance of Flatland Law.
384
00:28:59,290 --> 00:29:02,670
So we ask you to indicate what you mean...
385
00:29:02,670 --> 00:29:06,050
...by "upward, not northwards".
386
00:29:09,130 --> 00:29:12,110
I do not ask you to believe me
for my own sake.
387
00:29:12,110 --> 00:29:14,920
But the third dimension is indescribable.
388
00:29:15,300 --> 00:29:18,330
All I can do is appeal to your
sense of reason.
389
00:29:18,330 --> 00:29:21,930
Are you admitting there is
no way to show us...
390
00:29:21,930 --> 00:29:25,280
...to let us see this third dimension?
391
00:29:25,280 --> 00:29:29,210
Does your sense of wonder go only as far
as your eyes can see?
392
00:29:29,720 --> 00:29:31,400
There is a third dimension.
393
00:29:31,400 --> 00:29:35,670
- That's ridiculous!
- There is nothing ridiculous about it,
and you know it!
394
00:29:35,670 --> 00:29:38,270
The Circle Council has kept this
knowledge secret.
395
00:29:38,270 --> 00:29:41,600
You are in contempt! Stop this
insolence immediately.
396
00:29:41,600 --> 00:29:46,840
Do not fear the third dimension! Friends,
do not fear that what you cannot see!
397
00:29:46,980 --> 00:29:51,610
Mathematics, reason, and imagination
will help reveal the truth!
398
00:29:52,800 --> 00:29:56,420
Order! You're a miserable lying fool.
399
00:29:56,420 --> 00:29:59,130
- And I will not stand for it!
- Listen, friends, my fellow Flatlanders!
400
00:29:59,130 --> 00:30:05,730
To aspire this something greater is far better
than to be blindly and impotently happy.
401
00:30:08,440 --> 00:30:12,420
Arthur Square! I find you guilty of heresy...
402
00:30:12,420 --> 00:30:15,900
...blasphemy, treachery and by Flatland law...
403
00:30:15,950 --> 00:30:18,660
...hereby condemn you to death.
404
00:30:25,930 --> 00:30:28,590
Not today, I'm afraid!
405
00:30:29,780 --> 00:30:33,320
Arthur Square has just completely
vanished! He's gone!
406
00:30:35,210 --> 00:30:38,760
- Arthur!
- Spherius, oh Spherius, I failed.
407
00:30:38,760 --> 00:30:41,300
- Arthur!
- You've lost your prophet.
408
00:30:41,300 --> 00:30:45,220
Arthur, I never said you were
to be the prophet.
409
00:30:47,600 --> 00:30:52,340
- Hex!
- You are right, grandpa. Now watch this!
410
00:30:55,070 --> 00:30:59,940
Sir! How can you explain this? Is there
a third dimension after all?
411
00:30:59,940 --> 00:31:03,400
Quiet! All of you! Guards, arrest everyone!
412
00:31:04,380 --> 00:31:08,030
- Holy hexagon!
- No, the third dimension is real.
413
00:31:08,030 --> 00:31:10,270
My family proved it!
414
00:31:10,270 --> 00:31:12,600
Upwards! Not northwards!
415
00:31:12,600 --> 00:31:16,310
Out of my way! No, this is all just a trick.
416
00:31:16,310 --> 00:31:18,390
Where is he?!
417
00:31:19,090 --> 00:31:22,060
Guards!! You idiotic isosceles!
418
00:31:22,420 --> 00:31:24,500
Get. Me. Out!
419
00:31:27,050 --> 00:31:30,740
A new millennium truly begins for Flatland.
420
00:31:31,070 --> 00:31:32,960
And all because of Hex.
421
00:31:32,960 --> 00:31:36,200
Ah, but she needed you to lead the way.
422
00:31:36,510 --> 00:31:40,630
Your mind has grasped what your
eyes could not see.
423
00:31:41,080 --> 00:31:45,510
And your imagination has changed
your world forever.
424
00:31:46,420 --> 00:31:49,820
Not bad for a simple square, Arthur.
425
00:31:50,350 --> 00:31:53,390
No. Not bad at all, I guess!
426
00:32:00,330 --> 00:32:04,500
Miss Hex! Now that you've encountered
the third dimension...
427
00:32:04,500 --> 00:32:08,640
...would you care to speculate on the
existence of a fourth dimension?
428
00:32:10,180 --> 00:32:12,910
After all I've done for you, Flatlanders...
429
00:32:12,910 --> 00:32:16,190
...showing you the wonders of Spaceland!
430
00:32:22,360 --> 00:32:25,760
Fourth dimension, indeed.
431
00:32:27,830 --> 00:32:33,320
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