Author Archives: Egg Syntax

Voderberg tiling

It is a monohedral tiling: it consists only of one shape that tessellates the plane with congruent copies of itself. In this case, the prototile is an elongated irregular nonagon, or nine-sided figure. The most interesting feature of this polygon is the fact that two copies of it can fully enclose a third one. E.g., the lowest purple nonagon is enclosed by two yellow ones, all three of identical shape.[4] Before Voderberg’s discovery, mathematicians had questioned whether this could be possible.

https://en.wikipedia.org/wiki/Voderberg_tiling

Bonus tiling:

MAGA Finds Its George Floyd – The Atlantic

Today, like five years ago, a controversial man has been transformed overnight into a one-dimensional saint, marshaled in a culture war that precludes measured thought. Once again, Americans are being asked to genuflect before an idol.

In becoming a martyr, Kirk has been reduced to slogans and half-truths that obscure the real tragedy of his death. But if Americans are to learn anything valuable from the deceased, both sides will need to find the courage to reject such opportunistic cant.

MAGA Finds Its George Floyd – The Atlantic

This short piece from Thomas Chatterton Williams echoes a longer one from him on the same topic, from July. As someone who’s both black and conservative, Williams may be one of the few people who can write a piece like that without being immediately dismissed without a hearing by (at least) one side.

The Narrowing Circle · Gwern.net

The “expanding circle” historical thesis ignores all instances in which modern ethics narrowed the set of beings to be morally regarded, often backing its exclusion by asserting their non-existence, and thus assumes its conclusion: where the circle is expanded, it’s highlighted as moral ‘progress’, and where it is narrowed, what is outside is simply defined away. When one compares modern with ancient society, the religious differences are striking: almost every single supernatural entity (place, personage, or force) has been excluded from the circle of moral concern, where they used to be huge parts of the circle and one could almost say the entire circle. Further examples include estates, houses, fetuses, prisoners, and graves.

https://gwern.net/narrowing-circle

In Defense of the Ad Economy

I want to say this is stupid and wrong, but unfortunately I’m not sure it is. And in fairness it works out great for me; since I routinely use adblockers I’m being subsidized by the people who do look at ads.

Ads are annoying, except as compared to the alternative. And this is true at many levels. Not only do ads elegantly solve some pricing problems, they actually create a continuous economic incentive to hunt down spammers and even to care about the quality rather than quantity of time spent.

In Defense of the Ad Economy