The most important ones are:
Other super important ones:
Lu Zhishen by Ciro Santilli 37 Updated 2025-07-16
Early on, he's usually called by others as Major Lu (魯提轄).
His original name is Lu Da 魯達
He then receives the Buddhist name Zhishen (智深, profound wisdom) during conversion.
Total synthesis by Ciro Santilli 37 Updated 2025-07-16
TODO why can't we produce organic compounds more cheaply by total synthesis than biosynthesis?
This construction takes as input:and it produces an elliptic curve over a finite field of order as output.
The constructions is used in the Birch and Swinnerton-Dyer conjecture.
To do it, we just convert the coefficients and from the Equation "Definition of the elliptic curves" from rational numbers to elements of the finite field.
For example, suppose we have and we are using .
For the denominator , we just use the multiplicative inverse, e.g. supposing we have
where because , related: math.stackexchange.com/questions/1204034/elliptic-curve-reduction-modulo-p
Also known as: Quantitative PCR (qPCR).
Like PCR, but the amplification machine measures the concentration of DNA at each step.
This describes one possible concentration detection method with fluorescent molecules that only become fluorescent when the DNA is double stranded (SYBR Green)
Video 1.
Polymerase Chain Reaction (PCR) - Quantitative PCR (qPCR) by Applied Biological Materials (2016)
Source.
This allows you to predict the exact initial concentration by extrapolating the exponential curve backwards.
TODO: vs non-real-time PCR. Why can't you just divide by 2 for every heating step to reach back the original concentration? Likely the reaction reach saturation at an unknown step.
TODO: vs non-real-time PCR in medical diagnostics: do you really need to know concentration for diagnostics? Isn't it enough to know if the virus is present or not?
After filtration, all DNA should present in the filter, so we cut the paper up with scissors and put the pieces into an Eppendorf: Video 1. "Cutting vacuum pump filter and placing it in Eppendorf".
Video 1.
Cutting vacuum pump filter and placing it in Eppendorf
. Source.
Now that we had the DNA in Eppendorfs, we were ready to continue the purification in a simpler and more standardized lab pipeline fashion.
First we added some small specialized beads and chemicals to the water and shook them Eppendorfs hard in a Scientific Industries Inc. Vortex-Genie 2 machine to break the cell and free the DNA.
Once that was done, we added several reagents which split the solution into two phases: one containing the DNA and the other not. We would then pipette the phase with the DNA out to the next Eppendorf, and continue the process.
In one step for example, the DNA was present as a white precipitate at the bottom of the tube, and we threw away the supernatant liquid: Figure 1. "White precipitate formed with Qiagen DNeasy PowerWater Kit".
Figure 1.
White precipitate formed with Qiagen DNeasy PowerWater Kit
. Source.
At various stages, centrifuging was also necessary. Much like the previous vacuum pump step, this adds extra gravity to speed up the separation of phases with different molecular masses.
In our case, we used a VWR Micro Star 17 microcentrifuge for those steps:
Figure 2.
VWR Micro Star 17 microcentrifuge.
Source.
Figure 3.
VWR Micro Star 17 microcentrifuge loading.
Source.
Then, when we had finally finished all the purification steps, we measured the quantity of DNA with a Biochrom SimpliNano spectrophotometer to check that the purification went well:
Figure 4.
Biochrom SimpliNano spectrophotometer loading sample.
Source.
Figure 5.
Biochrom SimpliNano spectrophotometer result readout.
Source.
And because the readings were good, we put it in our -20 C fridge to preserve it until the second day of the workshop and called it a day:
Figure 6.
Minus 20 fridge storing samples.
Source.
One cool thing we did in this procedure was to use magnetic separation with magnetic beads to further concentrate the DNA: Figure 1. "GE MagRack 6 pipetting.".
The beads are coated to stick to the DNA, which allows us to easily extract the DNA from the rest of the solution. This is cool, but bio people are borderline obsessed by those beads! Go figure!
Figure 1.
GE MagRack 6 pipetting.
Source.
Figure 2.
GE MagRack 6 eppendorf with magnetic beads mounted.
Source.
Here some of the steps required a bit more of vortexing for mixing the reagents, and for this we used the VELP Scientifica WIZARD IR Infrared Vortex Mixer which appears to be quicker to use and not as strong as the Vortex Genie 2 previously used to break up the cells:
Figure 3.
VELP Scientifica WIZARD IR Infrared Vortex Mixer running.
Source.
After all that was done, the DNA of the several 400 ml water bottles and hours of hard purification labour were contained in one single Eppendorf!
De novo DNA synthesis by Ciro Santilli 37 Updated 2025-07-16
As of 2018, Ciro Santilli believes that this could be the next big thing in biology technology.
"De novo" means "starting from scratch", that is: you type the desired sequence into a computer, and the synthesize it.
The "de novo" part is important, because it distinguishes this from the already well solved problem of duplicating DNA from an existing DNA template, which is what all our cells do daily, and which can already be done very efficiently in vitro with polymerase chain reaction.
Notably, the dream of most of those companies is to have a machine that sits on a lab bench, which synthesises whatever you want.
TODO current de novo synthesis costs/time to delivery after ordering a custom sequence.
The initial main applications are likely going to be:
but the real pipe dream is building and bootstraping entire artificial chromosomes
News coverage:
Video 1.
Nuclera eDNA enzymatic de novo DNA synthesis explanatory animation (2021)
Source. The video shows nicely how Nuclera's enzymatic DNA synthesis works:
In a vector space, a metric may be induced from a norm by using subtraction:
Visualizing 4D by Ciro Santilli 37 Updated 2025-07-16
Simulate it. Just simulate it.
Video 1.
4D Toys: a box of four-dimensional toys by Miegakure (2017)
Source.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
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    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
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    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
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    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
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All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact