bob012345's latest activity

As already mentioned in other posts the first function is not defined for the value 2. So they aren't entirely the same functions. But...

Euclid constructs the arrangement in Book 6, Prop 13 of Elements. Book 6 Prop 13 To find the (straight-line) in mean proportion to two...

Nerds are people too, but they are non-linear. In normal times, when a nerd stands near a group of n people, that makes n+1 people. In...

I see you just joined. Welcome to Physics Forums! One real benefit is that these kinds of problems help keep the mind sharp as one gets...

Obligatory xkcd reference Nerd Sniping https://xkcd.com/356/

To answer part b, I used Foster’s Resistance Theorem. The average equivalent resistance is ##\frac{V-1}{E}## where V and E represent the...

Thanks! There is a lot of interesting data in that paper. I liked the table of resistances between different vertices. You can get all...

Two-point resistances in Archimedean resistor networks. Frédéric Perrier, Frédéric Girault. Results in Physics 36 (2022) 105443...

I started in a similar vein but a bit different. I drew the 2D projection of the TI modified to fit a flat x-y format. Then I drew it in...

I cheated by avoiding van Steenwijk’s method. Found the graph of the TI on Wikipedia, numbered all 60 nodes, then numbered all 90...

Here are my exact values. ##R_{hex-hex}=\frac{16778}{25080}## ##R_{hex-pent}=\frac{16273}{25080}##

Those numbers look numerically close but can you give me the exact values? How did you get these?

I have noticed that many of these problems reduce to a branching ladder network, a continued fraction.

I worked on this problem during the World Cup. A truncated icosahedron (soccer ball) is made from 90 identical 1 Ω resistors, one on...

I saw something like that awhile back. I would see small voltages generated across thin film capacitors plates. Ultimately I noticed...