Smaller Discs to Cover the Unit Circle

Here is a paper I wrote a while back in 2003 and wanted to publish to a math magazine:

Smaller Discs to Cover the Unit Circle

It details a solution to a geometry question asked in 1962, which is better than other published answers.



Just when I finished, I looked around for more references and related work, after MathWorld and all those sources. Well, it turns out that two other people

D. Nagy, Fedesek es alkalmazasaik, M.Sc. thesis, Eotvos Lorland Univ., Budapest, 1974.
S. Krotoszyski, Covering a disk with smaller disks, Studia Sc. Math. Hungar. 28 (1993) 277[283; MR 95c:52035.

Both had published the same solution I came up with. Really, who would spend the time to solve such an esoteric problem? Nerds!

Comments

Post a Comment

Popular posts from this blog

Nontechnical: What is ERC-721?

Image
Read time: 6 minutes. This post explains how ERC-721 works and does not require any prior knowledge of Ethereum or blockchain. 简体中文 -->  http://www.sfgroup.hk/news_post/通俗易懂的告诉你什么是erc-721/  （奇点财经翻译） How does your phone connect to a web server? Most of your time on computers/phones/technology is spent with a web browser accessing a web page. Most of the screens you see out in the world that display information are usually using a web page to show it, but they just hide the URL bar. The flight arrivals screen -- it's just a web page Think for a minute about how this ubiquitous technology works. You.  You are very busy and you are trying to access some information, maybe cat videos or sports scores or your family members' feedback on a photo you posted of your kid.  Your phone , or whatever other device is in your hand, that acts on your behalf. The web server decides how it wants to reply to your request. Technology people, the ones that make your phone an
Read more

I Was Kidnapped in Manila and Lived to Tell About it

Image
Other potential titles: The US Embassy Doesn't Want You Know About This Kidnapping in Manila Scopolamine / Devil's Breath Trip Report It started Easter weekend This story starts at Noon Tuesday April 18th, 2017 on Makati Avenue. I just finished a meeting with the Philippines Board of Investments to discuss how my company can expand our business in Manila. (Also saw the QBO Innovation Hub , it was awesome.) I had plenty of time to kill and some emails to catch up on, so it's time for some brain food! I walked right to the hottest part of town, Makati Ave. and Jupiter Ave. , surely there will be something good to eat. And then suddenly, The Guy approaches me, I'm marked. Hey, I know you are you staying at the Jazz Residences? Jazz is about a 12 minute walk to here, and I did not walk towards Makati Ave. from that direction since I just came from the meeting. I'm always guarded with information and paying attention to stuff like that. There's abo
Read more

Testing deployed Ethereum contracts with ESTIMATEGAS

Image
This article is cross-posted at https://0xcert.org/news/live-testing-smart-contracts-with-estimategas-william-entriken-tadej-vengust. Testing smart contracts live without spending gas 0xcert is publishing a series of tech papers in collaboration with various authors. The present article is a contribution by our advisor and the lead author of ERC-721 standard, William Entriken, and our lead blockchain engineer, Tadej Vengust. Live Testing Smart Contracts with ESTIMATEGAS Written by: William Entriken, Tadej Vengust In this article, we will introduce a technique that allows you to test  any deployed contract  in arbitrary ways,  without spending gas . It works on Ethereum Mainnet, Wanchain, Ethereum Ropsten, Hyperledger Burrow, Proof of Authority Network, private chains, and every other network based on Ethereum Virtual Machine. This new technique was first shown with the  ERC-721 Validator , and you can't do it with Truffle. You will want to learn this techniq
Read more