algorithms, mathematics

Cell-600 Bulk (Hypervolume)?

  1. Edge is 1, what’s the hypervolume?
  2. General formula for the bulk?

The solution for 1 can be obtained numerically.

For 2, you have time until the end of this year (2017). (Unless the solution will be published sooner than that.)

Advertisements
Standard

9 thoughts on “Cell-600 Bulk (Hypervolume)?

      • guest says:

        Finally one for you:

        “Each of a million people puts his or her hat into a very large box. Each hat has its owner’s name on it. The box is given a good shaking, and then each person, one after another, randomly draws a hat out of the box. What is the probability that at least one person gets their own hat back?”

        via One Million Hats

  1. > Each of a million people puts his or her hat into a very large box …

    Say every hat has its own ribbon, which is removed and also mixed in that box. What is the probability …

    Well, evidently smaller.

    What if the number of hats is countably infinite. What are the odds then? For at least one matching pair? For the infinite number of matches?

    Say, that we have all the real numbers from 0 to 1. And a random function from and onto this same interval. How probable it is, that no number is mapped onto itself?

    Say, that this probability is p. Then make a square 1 by 1. Which is the same as continuum many of those intervals, each with a random function onto itself. What are probabilities now?

    Perhaps one day, we shall ask this question.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s