Saturday, September 17, 2016

A Box of Nothing

Filed under: General — m759 @ 12:13 AM


"And six sides to bounce it all off of.

Friday, December 18, 2015

Box of Nothing

Filed under: General,Geometry — m759 @ 9:00 PM

Images related to the previous post

Detail of the 1697 Leibniz medal

Leibniz, letter of 1697:

“And so that I won’t come entirely empty-handed this time, I enclose a design of that which I had the pleasure of discussing with you recently. It is in the form of a memorial coin or medallion; and though the design is mediocre and can be improved in accordance with your judgment, the thing is such, that it would be worth showing in silver now and unto future generations, if it were struck at your Highness’s command. Because one of the main points of the Christian Faith, and among those points that have penetrated least into the minds of the worldly-wise and that are difficult to make with the heathen is the creation of all things out of nothing through God’s omnipotence, it might be said that nothing is a better analogy to, or even demonstration of such creation than the origin of numbers as here represented, using only unity and zero or nothing. And it would be difficult to find a better illustration of this secret in nature or philosophy; hence I have set on the medallion design IMAGO CREATIONIS [in the image of creation]. It is no less remarkable that there appears therefrom, not only that God made everything from nothing, but also that everything that He made was good; as we can see here, with our own eyes, in this image of creation. Because instead of there appearing no particular order or pattern, as in the common representation of numbers, there appears here in contrast a wonderful order and harmony which cannot be improved upon….

Such harmonious order and beauty can be seen in the small table on the medallion up to 16 or 17; since for a larger table, say to 32, there is not enough room. One can further see that the disorder, which one imagines in the work of God, is but apparent; that if one looks at the matter with the proper perspective, there appears symmetry, which encourages one more and more to love and praise the wisdom, goodness, and beauty of the highest good, from which all goodness and beauty has flowed.”

See also some related posts in this journal.

Thursday, May 14, 2020

For Mask Aficionados

Filed under: General — Tags: — m759 @ 3:36 PM

Saturday, September 17, 2016

Box of Nothing

Filed under: Uncategorized — m759 @ 12:13 AM


And six sides to bounce it all off of.” 

For those who prefer comedy —

Other toys: Archimedes at Hiroshima and related posts.

Monday, August 27, 2018

Children of the Six Sides

Filed under: General,Geometry — Tags: — m759 @ 11:32 AM



From the former date above —

Saturday, September 17, 2016

A Box of Nothing

Filed under: Uncategorized — m759 @ 12:13 AM


"And six sides to bounce it all off of.

From the latter date above —

Tuesday, October 18, 2016


Filed under: Uncategorized — m759 @ 6:00 AM

The term "parametrization," as discussed in Wikipedia, seems useful for describing labelings that are not, at least at first glance, of a vector-space  nature.

Examples: The labelings of a 4×4 array by a blank space plus the 15 two-subsets of a six-set (Hudson, 1905) or by a blank plus the 5 elements and the 10 two-subsets of a five-set (derived in 2014 from a 1906 page by Whitehead), or by a blank plus the 15 line diagrams of the diamond theorem.

Thus "parametrization" is apparently more general than the word "coodinatization" used by Hermann Weyl —

“This is the relativity problem:  to fix objectively a class of equivalent coordinatizations and to ascertain the group of transformations S mediating between them.”

— Hermann Weyl, The Classical Groups , Princeton University Press, 1946, p. 16

Note, however, that Weyl's definition of "coordinatization" is not limited to vector-space  coordinates. He describes it as simply a mapping to a set of reproducible symbols

(But Weyl does imply that these symbols should, like vector-space coordinates, admit a group of transformations among themselves that can be used to describe transformations of the point-space being coordinatized.)

From March 2018 —


Monday, November 14, 2016


Filed under: General — m759 @ 7:00 PM

The title was suggested by posts on "Box of Nothing."

See also

Wednesday, May 25, 2016

Nothing Illustrated

Filed under: General — m759 @ 3:33 AM

Illustration by Javier Jaén

See also "Box of Nothing" in this journal.

Thursday, January 14, 2016

Raiders of the Lost Box

Filed under: General — m759 @ 10:30 AM

See Triumph of the Will and Box of Nothing

"And the Führer digs for trinkets in the desert."

Friday, December 18, 2015


Filed under: General — m759 @ 2:00 PM

A prequel to the 2013 film "The Zero Theorem" —

"Down below, infinitely deep into the blackness,
things were beginning. The blackness had
arranged itself into a whirlpool…."

— Peter Dickinson, A Box of Nothing  (1985),
    "Chapter 19: Star Tree"

— may serve as a sequel to the life of the book's author.

(See Dickinson Sequel in this journal.)

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