FW’S NOTEBOOK #2 – Fagnano Problem

Lurking in my recent research readings, this is a problem at the intersection of middle school geometry and quantum chaos ...  This week's post was delayed such that certain subscribers taking final exams won't be disturbed. Hope you all had fun. Question: Inscribe a triangle of minimum perimeter inside an arbitrary acute triangle. Demonstration I. … Continue reading FW’S NOTEBOOK #2 – Fagnano Problem

FW’s NoteBook #1 – The Spring Pendulum Problem

Will I have some theme for these posts? The question is, again, rather easy to state.  But to me, it is one of the best introductory examples to ODE solving and chaos with a simple physical model. Q1. Describe the motion of a simple pendulum were you to replace the massless string with a spring … Continue reading FW’s NoteBook #1 – The Spring Pendulum Problem

What Does it (really) Take for an ECLIPSE?

I guess you know the drill by now. Round earth with a moon whizzing around, and the pair occasionally block sunlight from each other.  Neat stuff. Do you want to see an actual ray diagram of that? Yes! Well, I drew one in Adobe Illustrator, and then converted it to html. Edit: WP Does not … Continue reading What Does it (really) Take for an ECLIPSE?

FW’s Notebook #0 – Opening and Big CIRCLE GEODESICS

Putting the iPad to the same good use, but publicly. Summer is beginning, and my first three years of formal college education has come to an end. During this period, I have perfected the skills of Googling for good questions and solutions on a variety of subjects, *rarely* for homework, and for self-study. It's time … Continue reading FW’s Notebook #0 – Opening and Big CIRCLE GEODESICS

Stillwater: A Short Story

It is still an early draft. [a][b][c][d][e][f][g][h][i]To Anna Story Iteration #4[j]fWork in ProgressInstead of footnotes, I have laid out some comments that I think may aid your enjoyment.I.Del decided to consume a star.Although it could be costly, feeding on the small fusion furnaces had been Del’s most reliable source of sustenance. He[k][l][m][n] needed to continue his search … Continue reading Stillwater: A Short Story

Drops of Europa

A fantastical encounter. Version 5F I. She saw mountains in her dream. The Sun, joined by a few distant silver crescents, illuminates one side of her dome window as Ann wakes up in the control chamber, rejuvenated, but still slightly fatigued, thanks to the prolonged weightlessness. Slightly disoriented, she takes a brief moment to confirm … Continue reading Drops of Europa


I am exactly 20 years old now. BJT 1998-05-12 15:10. PDT 2018-05-12 00:10. 据我的父母所讲,我在二十年前的这个时刻来到了这个世界。从那时,到现在,接近一半的时候,我渐渐意识到我所知道的一切都开始于那个时间,连带我所可能知道的一切。我时而飘渺地看见了无法逃离的归宿,但也把路上的一切风景留给了命运。 感谢我的父母、家人、前人、祖国、世界。感谢我所能够认识的正在读这段话的所有人。二十岁是一个新的开始。 According to my parents, my journey began this moment exactly 20 years ago. About half way between then and where am I now, I began recognizing that everything I ever knew began on 12/May/1998, along with everything I will ever … Continue reading 1510