feat: finish hw4
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# HW4
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## Problem 1
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- 1. 
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A star is an example. P(g1) can see all of P, but on all direction of the circle, it is not monotone.
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- 2. Same as 3. 3 is a subset of 2.
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- 3. 
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This is an example. It is a orthogonal simple polygon, and it is montain monotone on X direction, but it is not one gaurdable(two witness points do not share any common view).
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- 4. 
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- 5. True. Simple 4-gon with exactly 3 convex vertices must be a fox. If we rotate it and put its nose on origin and one of its ear on positive x-axis, it will look something like this:
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Note that if we go through y direction, the nose must be t because its at (0,0) which is the lowest y coordinate. Also the ear that is not on the x-axis must be b because it has highest y coordinate or otherwise this polygon won't be a fox. Besides, other than the line at $y=0$, no more than two points will share the same y value. Thus we have t and b join the same line so this must be mountain monotone on some direction d.
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## Problem 2
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- 1. 
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- 2. 
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- 3. 
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32 576 m
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32 288 l
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528 288 l
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528 576 l
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184 432 l
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120 472 l
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128 512 l
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72 480 l
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96 368 l
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192 336 l
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300 392 l
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240 464 l
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292 492 l
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344 552 l
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518
HW4/hw4-sweep_2.ipe
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518
HW4/hw4-sweep_2.ipe
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224 400 m
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128 560 m
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</ipe>
|
||||
518
HW4/hw4-sweep_3.ipe
Normal file
518
HW4/hw4-sweep_3.ipe
Normal file
|
|
@ -0,0 +1,518 @@
|
|||
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464 372 m
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</ipe>
|
||||
482
HW4/hw4p1.ipe
Normal file
482
HW4/hw4p1.ipe
Normal file
|
|
@ -0,0 +1,482 @@
|
|||
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h
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64 832 m
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192 768 l
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192 832 l
|
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160 832 l
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160 784 l
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96 784 l
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h
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64 784 m
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192 784 l
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384 176 m
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456 176 l
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456 176 m
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448 144 l
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448 144 m
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400 144 l
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400 144 m
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416 112 l
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416 112 m
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480 112 l
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480 112 m
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496 88 l
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496 88 m
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464 192 l
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424 184 m
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480 112 m
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448 144 m
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480 140 l
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480 140 m
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456 176 l
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</path>
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<path stroke="black">
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304 44 m
|
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316 40 l
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</page>
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||||
</ipe>
|
||||
491
HW4/hw4p1.ipe.autosave.ipe
Normal file
491
HW4/hw4p1.ipe.autosave.ipe
Normal file
|
|
@ -0,0 +1,491 @@
|
|||
<?xml version="1.0"?>
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316 40 l
|
||||
</path>
|
||||
<text transformations="translations" pos="96 832" stroke="black" type="label" width="7.472" height="6.808" depth="0" valign="baseline">A</text>
|
||||
<text transformations="translations" pos="160 832" stroke="black" type="label" width="7.057" height="6.808" depth="0" valign="baseline">B</text>
|
||||
<path stroke="black" dash="dotted">
|
||||
96 832 m
|
||||
96 768 l
|
||||
</path>
|
||||
<path stroke="black" dash="dotted">
|
||||
160 832 m
|
||||
160 768 l
|
||||
</path>
|
||||
<path stroke="black" dash="dotted">
|
||||
240 704 m
|
||||
272 704 l
|
||||
</path>
|
||||
</page>
|
||||
</ipe>
|
||||
Loading…
Reference in New Issue
Block a user