grayed powerplant


Is there a continuous surface made up of every continuous function?

This math poem thought eperiment meanders towards the answer.



Phi screenshot

I wrote this golden spiral applet, stream-of-consciousness-style, to learn the language Processing. Turn down your speakers, as it is potentially noisy:


Higher Order Verbs


We define the verb order of a word recursively as follows:

  1. The order of any word which is not a present tense verb is zero.
  2. The order of a present tense verb is one plus the order of its past tense.
  3. If some set of words is spelled the same or is pronounced the same in American English, then the order of any one of the words is defined as the maximum order found in the set.

So, for example, 'whine' is a 3rd-order verb, since its past tense is 'whined', which is pronounced the same as 'wind', the past tense of which is 'wound', which is spelt the same as 'wound', as in "to injure," the past tense of which is 'wounded'.

Known higher order verbs:

These are all of the 3rd order verbs we have found:

And here is a complete list of 2nd and 3rd order verbs, as well as a few cyclic / infinite-order verbs (like ... --> read --> read --> ...):



If you find a 4th order verb, or a verb which is cyclic but with a word inbetween (i.e. ... --> A --> B --> A --> ...) then I will be indescribably astounded and joyous.

And in general, if you think of anything not on the above list, please email me.

Funny English Place Names

Here are some funny names of English towns and villages, courtesy of four pages my grandfather slipped into his Oxford English Dictionary of British Place-Names, plus a few road signs I saw while driving between Portsmouth and Wales:

*My grandfather remembers seeing a newspaper article saying that The Ugley Women's Institute had changed its name to The Women's Institute of Ugley.

Feel free to email me with any additions.

Bedtime Theorems


This paper presents several concepts defined or discovered by the author and M. C. Garcia, also of the Massachusetts Institute of Technology, from January 2004 through March 2004. Most of these concepts were conjectured while falling asleep, but they were often built upon and made rigorous throughout the days following, including especially during the writing of this paper.

The paper consist of three main concepts: The Proof Theorem, which renders the proof of true statements trivial; The Shackletonian Operator, which facilitates and formalizes the act of looking at a portrait of the explorer Sir E. H. Shackleton while having sexual intercourse; and The Lifting Theorem, which essentially proves that everything can be viewed as funny, if one 'lifts' oneself to a high enough point of view. The second and third sections rely heavily on the power of the first section's theorem.