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What are Pentatope numbers ?
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Sergio
Jan 25, 2021, 11:04:24 PM1/25/21
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The number x is pentatope if and only if n is a natural number. In that
case x is the nth pentatope number.
Two of every three pentatope numbers are also pentagonal numbers.
No prime number is the predecessor of a pentatope number, and the
largest semiprime which is the predecessor of a pentatope number is 1819.
Alternating triangular numbers (1, 6, 15, 28, ...) are also hexagonal
numbers.
Also, the positive difference of two triangular numbers is a trapezoidal
number.
Also, the square of the nth triangular number is the same as the sum of
the cubes of the integers 1 to n.
the sum of two consecutive triangular numbers is a square number, with
the sum being the square of the difference between the two (and thus the
difference of the two being the square root of the sum)
Applications
In biochemistry, Pentatope numbers represent the number of possible
arrangements of n different polypeptide subunits in a tetrameric
(tetrahedral) protein.
case x is the nth pentatope number.
Two of every three pentatope numbers are also pentagonal numbers.
No prime number is the predecessor of a pentatope number, and the
largest semiprime which is the predecessor of a pentatope number is 1819.
Alternating triangular numbers (1, 6, 15, 28, ...) are also hexagonal
numbers.
Also, the positive difference of two triangular numbers is a trapezoidal
number.
Also, the square of the nth triangular number is the same as the sum of
the cubes of the integers 1 to n.
the sum of two consecutive triangular numbers is a square number, with
the sum being the square of the difference between the two (and thus the
difference of the two being the square root of the sum)
Applications
In biochemistry, Pentatope numbers represent the number of possible
arrangements of n different polypeptide subunits in a tetrameric
(tetrahedral) protein.
Hanoi Camarato
Jan 26, 2021, 5:26:13 AM1/26/21
to
Sergio wrote:
> The number x is pentatope if and only if n is a natural number. In that
> case x is the nth pentatope number.
> Two of every three pentatope numbers are also pentagonal numbers.
> No prime number is the predecessor of a pentatope number, and the
> largest semiprime which is the predecessor of a pentatope number is
> 1819. Alternating triangular numbers (1, 6, 15, 28, ...) are
> also hexagonal numbers.
Not sure. The fake Dr. Fauci Now Wants You To Wear Two Masks to Avoid Coof
> The number x is pentatope if and only if n is a natural number. In that
> case x is the nth pentatope number.
> Two of every three pentatope numbers are also pentagonal numbers.
> No prime number is the predecessor of a pentatope number, and the
> largest semiprime which is the predecessor of a pentatope number is
> 1819. Alternating triangular numbers (1, 6, 15, 28, ...) are
> also hexagonal numbers.
Death! Seemingly because your people are not dying fast enough by CO2
poisoning. Can you do the math alone? Bring me to your leader. We come in
peace. Fauci is a FRAUD. He was *Bill Gates roommate* in college.
Dropouts both. Two masks will NOT protect you any more than one mask,
which will not protect you or anyone else from the chemtrails, Fuckushima
radiation and 5G radiation that we have all been breathing for years.
Your immune system has been weakened by all of this and that is why you
are suffering. They are pushing vaccines on people with the help of
corrupt politicians, made believe they are selected, part of the
*big_club*. But they are fools. Let me check your apparatus.
Mostowski Collapse
Jan 26, 2021, 6:20:11 AM1/26/21
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Is that you micro penis?
Mostowski Collapse
Jan 29, 2021, 7:24:20 AM1/29/21
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Micro penis has no brains, right?
Richard Tobin
Feb 8, 2021, 9:00:11 AM2/8/21
to
In article <ruo4bu$tr5$1...@gioia.aioe.org>, Sergio <inv...@invalid.com> wrote:
>The number x is pentatope if and only if n is a natural number. In that
>case x is the nth pentatope number.
Let x be 3.7 and n be 969. 969 is a natural number, so 3.7 is the 969th
>The number x is pentatope if and only if n is a natural number. In that
>case x is the nth pentatope number.
pentatope number.
-- Richard
Sergio
Feb 8, 2021, 9:54:25 AM2/8/21
to
it came from https://wikivisually.com/wiki/Pentatope_number
under Test for pentatope numbers
https://en.wikipedia.org/wiki/Pentatope_number
Pentatope number
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Derivation of pentatope numbers from a left-justified Pascal's triangle
A pentatope number is a number in the fifth cell of any row of Pascal's
triangle starting with the 5-term row 1 4 6 4 1 either from left to
right or from right to left.
The first few numbers of this kind are:
1, 5, 15, 35, 70, 126, 210, 330, 495, 715, 1001, 1365 (sequence
A000332 in the OEIS)
A pentatope with side length 5 contains 70 3-spheres. Each layer
represents one of the first five tetrahedral numbers. For example, the
bottom (green) layer has 35 spheres in total.
Pentatope numbers belong to the class of figurate numbers, which can be
represented as regular, discrete geometric patterns.[1]
mitchr...@gmail.com
Feb 8, 2021, 2:15:41 PM2/8/21
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you are a hypocrite Roy...
Sergio
Feb 8, 2021, 2:56:42 PM2/8/21
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