Chapter 32 - Think Outside the Box Time

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As in the figure to the right, the crystalline structure known as a body-centered cubic unit consists of multiple cubes a having sides 1 arranged periodically, with an atom at each vertex and at each cube's center. Most alkaline metals including Na and K, are body-centered cubic units. Focusing on atom A(0) in a body-centred cubic unit, of all the points within the space, the domain D(0) consists of the set of points closer to A(0) than to any other atom. Find the volume of D(0).

Karma stared at his paper, deep in thought.

'What was it that Nagisa always used to say?' Karma wondered.

" How can two people have such a large gap? I guess you really do have a talent for this, Karma-kun. "

'Easy for you to say, for me, I don't think I can really tell who is the real genius here. What we call 'talent' is the part of us that no one else sees'

Karma studying by himself at home.

'Like Sugino who can slide right in its people, like Okuda who can lose herself in something she loves, like Terasaka who can act tough without giving it a single thought, like Asuna...who eventually worms her way into everyone's heart...'

Asuna with rosy cheeks and a big smile on her face was seen.

'Tsk, just like how that glasses guy in the Big Five is being much friendlier with her after the school festival'

Karma clenched his pencil in annoyance as a tick mark popped out on his forehead.

'Calm down...she doesn't take notice of him anyway...from where I stand, those are all talents. Everyone has this talented domain that I can't see, so I guess we are all the same in that sense. Now, let's see if we can solve this problem with my own talent'

Karma narrowed his eyes before his face showed a slight grimace.

'Damn, I really don't have the time to finish this problem'

With Gakushuu...

'Atoms, body-centered cubic units...I can't let these unnecessary details distract me...once I get down to the essentials, it'll be simple' Gakushuu thought as he eyes zoomed in on '...the domain D(0) consists of the set of points closer to A(0) than to any other atom. Find the volume of D(0)' detail.

'Find the volume of your own domain here in this box, surrounded by enemies'

Gakushuu whirled around and dodged the attack by the monster on one of the corners of the box, shooting at it.

'When both sides are evenly matched, their attacks meet at the middle. Which mean from there inward...is my domain!' Gakushuu smirked as he destroyed the monster, a red glow around the area, 'Gotcha. Now it can't sneak into my domain anytime soon. Eight enemies surround the inside of this cube so if I find their volumes and subtract it from the cube, I'm left with A(0)--my domain!'

Immediately, monsters from the remaining 7 corners started attacking Gakushuu.

'Once I lock them all down, I'll have my answer!' Gakushuu smirked as he defeated two more, staring down at the remaining five.

'Ruling over this space--the perfect theme for me!' a frown settled on his face, 'I'll be different from my father. He's now obsessed with proving that his own 'rational education' is correct. It will break them instead of educating them.'

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