There is definitely some confusion going around here.

There is the Nerdminer, Bitaxe, and the Opensource website. All these projects are opensource. Let’s try to clear things out.

What @kano is referring to, is the nerdminer which is BitMaker's project and hashes around 55.99 KH/s.  The nerdminer uses the ESP32 microcontroller chip which has WIFI and Bluetooth and has the ability to control the miner instead of a computer or a RPi and connect directly to the internet through WIFI. However, in the nerdminer instead of using the ESP32 to control the miner, it actually mines with the chip similar to a cpu.  I totally agree with Kano and his detailed mathematical analysis of the nerdminer. No one will ever find a block with a hashrate of 55.99 KH/s. Kano does not support CPU and GPU mining for obvious mathematical and financial reasons.

Now Bitaxe on the other hand is a totally different project. Bitaxe is Skot and team's project and it uses the same ESP32 chip like the nerdminer but it controls the ASIC chip instead of mining with it like the nerdminer. The bitaxe is same as gekkoscience's Compac F but opensource and uses a single BM1397 ASIC chip and hashes around 300-350 GH/s.

To make things more confusing, there is the new bitaxeUltra uses the S19XP ASIC chip which is the BM1366 and hashes about 527.2 GH/s.

To make things further confusing, there is an upcoming bitaxeHexUltra which is in the works and is similar to the gekkoscience R909 but opensource and have 6 BM1366 ASIC chips instead R909's 6 BM1397 ASIC chips. So, we are talking about ~ 3.1632 TH/s per miner.

As for the website, Public Pool, it is an open source btc pool for mining and it states “Pleb mining (under 50TH/s miners) mine with NO FEESMiners with > 50TH/s will incur a 1.5% fee, a portion of which will go back into open source Bitcoin mining”. The pool accepts all miners to mine on it, like the Nerdminer, bitaxe, bitaxeUltra, etc.

Take home message is that the Nerdminer and Bitaxe, are completely different opensource projects. They should not be clubbed together and cause confusion.