Polycube
A polycube is a solid figure formed by joining one or more equal cubes face to face. Polycubes are the three-dimensional analogues of the planar polyominoes. The Soma cube, the Bedlam cube, the Diabolical cube, the Slothouber–Graatsma puzzle, and the Conway puzzle are examples of packing problems based on polycubes.
Enumerating polycubes
Like polyominoes, polycubes can be enumerated in two ways, depending on whether chiral pairs of polycubes are counted as one polycube or two. For example, 6 tetracubes have mirror symmetry and one is chiral, giving a count of 7 or 8 tetracubes respectively. Unlike polyominoes, polycubes are usually counted with mirror pairs distinguished, because one cannot turn a polycube over to reflect it as one can a polyomino. In particular, the Soma cube uses both forms of the chiral tetracube.
Polycubes are classified according to how many cubical cells they have:
Polycubes have been enumerated up to n=16.
Symmetries of polycubes
As with polyominoes, polycubes may be classified according to how many symmetries they have. Polycube symmetries (conjugacy classes of subgroups of the achiral octahedral group) were first enumerated by W. F. Lunnon in 1972. Most polycubes are asymmetric, but many have more complex symmetry groups, all the way up to the full symmetry group of the cube with 48 elements. Numerous other symmetries are possible; for example, there are seven possible forms of 8-fold symmetry
Podcasts:
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by Tech N9ne
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by Gob
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by Wipers
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by Greg Sage
Blackboy
by: Tech N9neAnd I was told in school I was a fool and money, I'd never gain none
but I used my flow as a tool, they was cruel
said I'd be no rapper, but I did work and became one
Now it's a cryin shame, I'm buyin thangs and they got debts they got to pay back
I think I know why my teachers would look in my eye and say that...
And why's that?
Chorus
Cuz I'm a Blackboy...
Came from nothing, don't mean my life means nothin
Made it out the game through the pain and sufferin
Y'all don't think I see them purses y'all clutchin? (I do)
See I'm a Blackboy...
Scared when you see me, frauds disappear like a genie
Little whiteboys want to be me
but you don't want to go through What I go through...
true definition of a Blackboy
It must be the way that my pants sag
or the sparklin diamonds on the watch my left hand has
I know my appearance is looking like I am bad
In your department store all I wanna do is pop a damn tag
Made it honest, that's why the blacks get mad at you
Even foreigners shop and got big graditude
I make more than you, but you got the additude
Like I can't be shoppin at Saks Fifth Avenue
I'm just tryin to buy my baby some creed spring flower
But they don't know that the Tecca Nina cheese means power
So they look at me like none of my breed brings valor
Thats why when you see us in passing we seem sour
Last time I checked, my power shockeras
I was on top of the indy charts and not a slotera
but I'm the author of darkness and I like the opera
So why when I'm at Macbeth they wont treat me more propera?
Chorus
Cuz I'm a Blackboy...
Came from nothing, don't mean my life means nothin
Made it out the game through the pain and sufferin
Y'all don't think I see them purses y'all clutchin? (I do)
See I'm a Blackboy...
Scared when you see me, frauds disappear like a genie
Little whiteboys want to be me
but you don't want to go through What I go through...
true definition of a Blackboy
Frontline... shoot, soldiers represent that
Frontline... shoot, Grand Verb, it's the snatch back
Head wrapped in the desert, boombox on the camel back
Escape from the clone lab, fugitives spook black
With finesse in you, its the knowledge from way back
The prophet of the page dont eat right till it all cracks
Blackboy rappin from the pages torn
Street scriptures more classic than the Jimmy Cracked Corn
A spawn of the movement, keep the music movement
So my purpose stays clear and my music stays groovin
I do it for the real, I don't need Jena Six
for me to know America is still on that bullshit
So people think that black are just ball players and singers
That massa complex is what fuels the street bangers
and street soldiers to stand up
No choice to get it right, so these Blackboys can finally get they man up
Chorus
Cuz I'm a Blackboy...
Came from nothing, don't mean my life means nothin
Made it out the game through the pain and sufferin
Y'all don't think I see them purses y'all clutchin? (I do)
See I'm a Blackboy...
Scared when you see me, frauds disappear like a genie
Little whiteboys want to be me
but you don't want to go through What I go through...
true definition of a Blackboy
I'm a Blackboy and always gettin underestimated
But when I move next door, I know you hate it
You had my whole family investigated
and when they didn't find no crack, you said I ate it
Uh-uh, a motherfucker just elevated
over ghetto life that was designated
You see this Blackboy, you know heaven made it
I don't want to go if I got to integrate it
You know pellot boy, be happy you made it
Just take what you got, and stop complainin
Ok, weather man will stop the rainin
on my people head, and start explainin
what your people said, believe in the bible
but you still act barbaric and psycho
My name is Ice Cube, bitch, it ain't Michael
I'll never bleach my own skin just to be like you
Chorus
Cuz I'm a Blackboy...
Came from nothing, don't mean my life means nothin
Made it out the game through the pain and sufferin
Y'all don't think I see them purses y'all clutchin? (I do)
See I'm a Blackboy...
Scared when you see me, frauds disappear like a genie
Little whiteboys want to be me
but you don't want to go through What I go through...
true definition of a Blackboy