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The hottest Substack posts of CalculatedRisk Newsletter

And their main takeaways
7958 implied HN points 19 Mar 26
  1. A physical Game of Life was built as a 17×17 grid of illuminated mechanical switches driven by an AVR microcontroller, using row/column multiplexing and transistor drivers to handle the LEDs.
  2. Row scanning gives each LED a low duty cycle, so the design uses high peak currents, series resistors, MOSFETs/P-channel transistors, and firmware safeguards like a blackout window and watchdog to avoid thermal or software-induced damage.
  3. Mechanical switches provide a tactile, editable playfield with an analog speed knob, but they are the main cost driver; cheaper or fancier options (touchscreens, flip-dots) trade off price, feel, and complexity.
4081 implied HN points 12 Mar 26
  1. Hacker News front page in February 2026 was heavily dominated by AI-related stories, with AI often occupying most of the top-five slots on many days.
  2. A conservative AI detector (Pangram) flagged many of those stories as likely written by LLMs, and manual review generally agreed even though the tool had a few false negatives.
  3. Much of the AI coverage is vendor-focused or marketing, and the quasi-deterministic default style of current LLMs makes their writing detectable and is reshaping the site’s conversations.
11631 implied HN points 06 Feb 26
  1. Averaging-based blurs are linear and often reversible, so knowing the filter and padding lets you set up simple equations to recover original pixels.
  2. A right-aligned moving average makes iterative reconstruction straightforward and can reveal fine detail even with large blur windows, though 8-bit quantization adds visible noise.
  3. Two-pass (X then Y) blurs can still be inverted if the filter biases the current pixel, and recovered images can survive normal lossy formats like JPEG unless compression is very heavy.
2244 implied HN points 28 Feb 26
  1. Simple rational numbers (like p/q) have only a few very-close different fractions with small denominators; once denominators reach q or larger you can’t get new inexact approximations that beat the 1/b^2 error threshold.
  2. Irrational numbers, by contrast, admit infinitely many surprisingly accurate rational approximations; Dirichlet’s pigeonhole argument guarantees infinitely many fractions a/b with error on the order of 1/b^2 (for example 22/7 and 355/113 for π).
  3. Intuitively, rationals form a uniform grid so their gaps limit how close other fractions can get, while irrationals sit inside those gaps and repeated multiples plus the pigeonhole principle produce arbitrarily close rational hits, which is the essence of Diophantine approximation.
4489 implied HN points 15 Feb 26
  1. Natural numbers can be built from a base element (zero) and a successor rule, and addition and multiplication follow from simple recursive definitions.
  2. Integers and rationals are formed by ordered pairs and equivalence classes so subtraction and division have in-system representations, and these extended sets remain countable.
  3. Computable numbers are those a Turing machine can approximate and are still countable, but the real numbers are uncountable (by diagonalization), so most reals cannot be computed.
Get a weekly roundup of the best Substack posts, by hacker news affinity:
11019 implied HN points 18 Jan 26
  1. Illustrations often take the most work in a technical blog and can require as much or more time than writing the text.
  2. Building a simple, consistent workflow and a reusable library of elements (scale, line thickness, fonts, colors) makes creating clear technical diagrams much faster and keeps a coherent style.
  3. Use the right tools for the job — photography, CAD, Excalidraw, Affinity — and apply deliberate visual tricks like shadows, outlines, and afterimages to imply depth, motion, or emphasis in 2D illustrations.
5101 implied HN points 26 Jan 26
  1. You can build a tesseract wireframe by extending the same edge-construction rules from a square to a cube and then to 4D, which yields 16 vertices and 32 edges.
  2. Rotations in four dimensions are still planar operations that act on pairs of axes, so animations come from applying familiar 2D rotation formulas to axis pairs like XZ or Z🌀.
  3. There are many ways to project 4D to 2D with different tradeoffs—cavalier, cabinet, isometric, perspective, and fisheye—and a mixed approach (isometric for XYZ plus perspective or fisheye for the fourth axis) gives the clearest, most informative views.
6938 implied HN points 10 Jan 26
  1. Images and audio are both sampled data so you can apply similar transforms to both, but ears and eyes perceive artifacts very differently so the same operation can look fine and sound awful.
  2. Pixelating or reducing bit depth in audio creates stair-step or high-frequency errors that produce metallic squeals or hiss, and those artifacts are typically removed with lowpass/rolling-average filtering or proper DAC anti-aliasing.
  3. Frequency-domain editing works well if you process short, overlapping windows with a Hann (sin^2) weighting and 50% overlap so the attenuations cancel out, avoiding clicks and enabling effects like pitch shifting and vocoding.
8978 implied HN points 13 Nov 25
  1. Many writers notice that content from AI tools can feel similar because AI has a default style and uses common patterns, making it tricky to tell apart from human writing.
  2. To spot AI-generated text, look for unusual patterns in style or ask why the article was written. If it seems vague or has no specific point, it might be AI.
  3. People might not care about the
  4. effort behind writing anymore and see AI tools as a quick way to produce content, but it's important to ensure the writing still has a meaningful goal.
7958 implied HN points 21 Nov 25
  1. Building a reliable oscillator is tough because it needs gain to work. Without gain, any oscillation will die out quickly.
  2. Using a Schmitt trigger can help create an oscillator with no stable midpoint. This means the circuit will keep switching back and forth, creating consistent oscillations.
  3. Different methods exist to build oscillators, like using op-amps or creating resonance with phase shifts. Each has its own way of generating oscillation, but they all need a careful balance of components.
4081 implied HN points 26 Dec 25
  1. Latches and clocked D flip-flops store single bits and let signals be sampled on clock edges, providing the basic timing building blocks for digital circuits.
  2. A digital phase detector uses flip-flops to see which clock edge arrives first and produces pulses that indicate whether a tested clock is running too fast or too slow.
  3. A PLL closes the loop by using that detector to steer a VCO, and by inserting a divider in the feedback the VCO will lock at an integer multiple of the reference frequency, turning a low-frequency clock into a higher-frequency, phase-aligned clock.
3877 implied HN points 22 Dec 25
  1. An op-amp simply amplifies the voltage difference between its inputs by a huge factor, and with feedback you force its inputs to be nearly equal so passive parts (resistors, diodes, caps) can be arranged to perform math instead of just gain.
  2. Addition and subtraction are straightforward: resistor networks can average or sum signals and a non‑inverting amplifier scales them to produce a true sum, while difference amplifiers give Vout ≈ VA − VB and can be biased to work on a single supply.
  3. Harder operations are possible too: multiplication/division can be done with log/antilog converters that use the diode’s exponential V–I curve plus a summing stage, and integration is implemented by charging a capacitor with a controlled current to produce precise ramps, though these analog tricks need careful biasing and have practical limits (rails, linearity, noise).
4693 implied HN points 02 Dec 25
  1. Charge pumps are efficient circuits that can double voltage using capacitors. They work by transferring charge between capacitors to create a higher voltage output.
  2. Unlike standard voltage dividers, a specific charge pump design can halve voltage. This is done by using capacitors in series and moving a 'flying' capacitor to balance the voltages.
  3. The charge transfer stabilizes the output voltage at half the supply, which is different from typical voltage dividers since it doesn't depend on the size of the capacitors.
5917 implied HN points 08 Nov 25
  1. Euler's identity, which is e^(iπ) + 1 = 0, connects five important math constants: e, π, 0, 1, and i. It shows how complex numbers and trigonometry blend together in a fascinating way.
  2. The number i is known as the imaginary unit, and it allows us to represent two-dimensional rotations. When we multiply by i, it represents a 90° turn in the complex plane.
  3. Using Euler's formula, we can relate complex exponentials to trigonometric functions. This connection helps us understand circular motion in a mathematical way.
3265 implied HN points 04 Dec 25
  1. You can build a lowpass filter using just capacitors and a switch instead of resistors. This method is simpler and can lead to interesting circuit designs.
  2. The switch in this setup changes the connection of the capacitors, allowing them to charge and affect the signal based on their voltages. This simulates resistor-like behavior, even though no resistors are used.
  3. By adjusting the frequency of the switching, you can control how the filter responds to different input signals. This gives you flexibility in analog signal processing.
18977 implied HN points 23 Feb 25
  1. Electricity is about how electrons interact with atoms. Electrons can move from one place to another, creating electric current in conductive materials like metals.
  2. Conductors, like metals, allow electrons to flow freely, while insulators hold onto their electrons tightly. This difference determines how well materials conduct electricity.
  3. The movement of electrons in a wire is what allows us to use electricity for various tasks. It can be quick, but individual electrons move slowly compared to the speed at which electrical signals travel.
7958 implied HN points 30 Jun 25
  1. Gödel's incompleteness theorem shows that in any consistent mathematical system, there are truths that cannot be proven within that system. This means no system can fully capture all mathematical truths.
  2. The busy beaver problem illustrates how there are limits to what we can compute; some functions can't be determined, just like how we can't always know if an algorithm will stop running.
  3. Even though we can create programs that seem powerful, like those that could prove big math ideas, there are inherent limitations to knowledge and computation due to the nature of math itself.
10815 implied HN points 17 Jan 25
  1. Claims of widespread supply-chain attacks are often exaggerated. It's usually easier to steal passwords or trick people into downloading malware instead.
  2. The investigation revealed that the 'evil' RJ45 dongle was actually just a routine device with a self-extracting driver, not a malicious tool.
  3. It's good to stay cautious about hardware from unknown sources, but for most home users, this type of device is likely safe enough.
8366 implied HN points 27 Feb 25
  1. Reaching 5,000 subscribers is a big deal for a project that went against the usual trends. It's great to see growth, even if it seems small compared to others.
  2. Writing a newsletter is unique because you don't get much direct feedback from readers. It's interesting to see who signs up or leaves but hard to know what they really think.
  3. Three articles worth revisiting cover complex topics: discrete Fourier transforms, fractals, and core concepts in electronic circuits. They offer in-depth discussions that are easy to understand, even for beginners.
8774 implied HN points 12 Feb 25
  1. Many companies don't prioritize hiring security teams until after a major security incident happens. This means their first security personnel often lack experience to build strong security programs.
  2. Over time, security teams can become rigid and focused on their own tasks rather than aligning with broader business goals. This may lead to them missing urgent risks.
  3. When a major breach occurs, it can finally highlight the weaknesses in security strategies. This often leads to a change in team structure and a chance to improve communication within the company.
8570 implied HN points 23 Jan 25
  1. Basic calculators seem simple, but designing their interface is really tricky. Many small rules affect how they operate.
  2. Users often expect calculators to follow straightforward rules, but calculators can behave unexpectedly based on their design. This can lead to confusion when doing simple calculations.
  3. Calculator design has evolved over time, but some quirks and confusing features remain. Understanding these can help users use them more effectively.
3060 implied HN points 14 Jul 25
  1. In quantum mechanics, particles can exist in multiple states at the same time, but when we observe them, they seem to decide on one state. This idea is often illustrated by the famous Schrödinger's cat thought experiment.
  2. The many worlds interpretation suggests that every possible outcome actually occurs in separate, parallel realities. So, when something happens, it doesn't just happen once — it creates multiple versions of reality.
  3. Death may not be the end of existence in these parallel universes. While one version of you may die, others may continue on, raising questions about the nature of life, consciousness, and even potential suffering in those alternate realities.
7142 implied HN points 28 Jan 25
  1. Copper pours on PCBs help improve signal quality by providing better pathways for electrical currents. They make it easier for circuits to work well at high speeds.
  2. These copper areas also help reduce radio frequency interference to meet certain regulations. This is important for keeping devices running smoothly and within legal limits.
  3. While using copper pours can make PCB design easier, it's essential to be careful. Poorly executed layouts can create problems, especially in high-speed projects.
6530 implied HN points 08 Feb 25
  1. When picking a microcontroller for simple projects, stick to 8-bit options like AVRs. They are easy to use and work well for tasks that don’t need a lot of speed or memory.
  2. For more demanding applications, like video processing or complex calculations, go for higher-end 32-bit microcontrollers. They are more powerful and can handle heavy data loads.
  3. If you need wireless connectivity and processing power, single-board computers are the way to go. They run full operating systems but can be more expensive and less efficient than microcontrollers.
5305 implied HN points 21 Feb 25
  1. The meeting that was supposed to happen is canceled, reflecting unpredictability in life. Sometimes, things we expect can change suddenly.
  2. The speaker uses the idea of the universe's chaos to illustrate how unlikely events can occur, similar to the randomness of life. It suggests that the universe has strange ways of creating possibilities.
  3. The conversation explores the concept of reality versus perception, questioning whether our experiences are real or just a dream. This raises interesting thoughts about how we view our existence.
6938 implied HN points 17 Nov 24
  1. Involute gears are used in many everyday items like toys and cars. Their special shape helps them work smoothly and efficiently.
  2. These gears have specific properties that reduce friction and vibrations, allowing them to transfer motion without problems. This ensures they work together seamlessly.
  3. Understanding the design of involute gears helps in creating various gear types, even unique shapes, making it easier to innovate in mechanical engineering.
4489 implied HN points 02 Mar 25
  1. Cure.io is a telehealth assistant that helps with health inquiries. It shows how technology can provide medical support.
  2. The conversations reveal that Cure.io interacts with different people based on their past lives. This raises questions about identity and memory.
  3. The dialogue touches on themes of immortality and life after death, suggesting a blend of technology and existential concepts.
4897 implied HN points 04 Feb 25
  1. Electric fields are easy to understand because they involve the forces between charged particles, like how magnets attract or repel each other. This basic concept helps explain how electricity works in circuits.
  2. Magnetic fields can be confusing because they seem separate from electric fields, but they are connected through the concept of relativity. When things move, their distances and timings can change, affecting how we see electric and magnetic effects.
  3. Understanding that moving charges create magnetic fields helps simplify the whole idea. It's all about how motion changes our perspective on distance and forces between charges.
4693 implied HN points 21 Dec 24
  1. Resin casting involves making a mold and pouring liquid plastic into it. This method allows you to create exact replicas of items, capturing all their details.
  2. Compared to 3D printing, resin casting can produce stronger and more durable parts. It also gives a finer finish since the liquid can fill every tiny detail of the mold.
  3. The process includes making a flexible mold from silicone, applying a release agent, and carefully pouring in the resin. It's important to manage air bubbles for the best results.
4081 implied HN points 03 Jan 25
  1. When selecting op-amps for projects, avoid using older models like LM741 and LM324, as modern options perform much better and are easier to use.
  2. Look for op-amps with rail-to-rail input and output capabilities, which allow for better voltage range handling and simplify your circuit design.
  3. Focus on key parameters like bandwidth, output current, and noise specifications, but remember that many modern op-amps have decent performance that meets the needs of most hobby projects.
4081 implied HN points 27 Dec 24
  1. The hydraulic analogy, which compares electrical circuits to water systems, is often misleading. It can create confusion, especially when learning complex components like semiconductors.
  2. While analogies can aid in understanding, they need to remain accurate as you learn more advanced concepts. The hydraulic analogy can break down and lead to misunderstandings.
  3. When students encounter flaws in the hydraulic analogy, it may cause them to forget the basics and start over, making the learning process harder than it needs to be.
4285 implied HN points 07 Dec 24
  1. Bootstrapping can significantly improve photodiode amplifier performance by minimizing the impact of parasitic capacitance. This helps in amplifying fast-changing signals better.
  2. A voltage follower in the circuit helps keep the photodiode at the same voltage, preventing internal charging and making it act like an ideal current source.
  3. While bootstrapping boosts performance, real-life limitations exist, like bandwidth and impedance, which need to be considered for accurate designs.
3673 implied HN points 10 Jan 25
  1. Understanding C's syntax can be tricky, especially with function declarations and typedefs. You'll find that some definitions may not be exactly what they seem.
  2. C allows some flexibility with variable and function declarations, which can lead to surprising behaviors, so always double-check how your symbols interact in different scopes.
  3. There are quirky features in C, like a BASIC compatibility mode for line numbering, showing that the language has some fun, unexpected twists!
3060 implied HN points 06 Jan 25
  1. A new version of the Etch-A-Sketch toy, called Sketchy Sketch, was created to be more user-friendly and modern. It uses digital controls for drawing and animating, unlike the old mechanical version.
  2. The Sketchy Sketch is built using a microcontroller and a display, allowing kids to create pixel art easily. It has a simple menu system and saves multiple images.
  3. The project shows that it's fun and rewarding to build something from scratch. The creator shares the parts and code online, encouraging others to try similar projects.
2856 implied HN points 23 Jan 25
  1. Building a platform is hard and often not worth the effort. It's usually better to focus on creating a good product first.
  2. To make a successful platform, you need to either find a unique idea, have a strong personal following, or get backing from big companies.
  3. Having good code isn’t enough to make a platform thrive; you need visibility and support from the right people to attract users.
2652 implied HN points 27 Nov 24
  1. There isn't much information available on natural phosphorescence, so creating a detector can help explore its presence in everyday items.
  2. The device design prioritizes speed and sensitivity to detect phosphorescence briefly brought out by UV light, using specific electronics like photodiodes and amplifiers.
  3. Experimenting with common household materials showed that some items, like powdered milk and natural ruby, exhibit weak phosphorescence, although many other items didn't show any notable glow.
2040 implied HN points 16 Jan 25
  1. New technology can become popular even if it isn't the best quality. For example, digital cameras started winning over film cameras because they were easier and cheaper to use.
  2. The Sony Mavica MVC-FD73 was a successful camera despite its poor image quality. People chose it for convenience rather than for great pictures.
  3. Convenience often matters more to most consumers than the finer details of quality. This trend has important implications for how we view and adopt new technology.
1836 implied HN points 30 Jan 25
  1. OLED displays are generally better for microcontroller projects than traditional LCDs. They are easier to use and deliver better performance and visuals.
  2. For projects with limited RAM or CPU, smaller OLED displays like the SSD1353 and SSD1333 can be effective. They are simple to set up with basic connections.
  3. Setting up these OLED displays involves a few key commands and configurations, making it manageable even for beginners. Once connected, getting them to display graphics is straightforward.
2040 implied HN points 09 Dec 24
  1. Photodiodes can have a wide range of response speeds, and the advertised specs often don't tell the whole story. It's important to understand how they are tested, as this can affect their performance.
  2. When building precise measurement devices with photodiodes, two types of currents play a role. One is fast, while the other can take much longer to settle down, impacting the overall signal quality.
  3. Using techniques like reverse bias can improve performance, but some effects are inherent to the photodiodes themselves. Understanding these limitations is key for achieving accurate measurements.
4285 implied HN points 02 Dec 23
  1. Traditional electronic lab kits are disappearing, replaced by newer products like Snap Circuits
  2. The older kits offered a hands-on, educational experience with detailed schematics and components
  3. Newer products like Snap Circuits focus more on quick gratification than teaching electronics concepts