Studies in Chlandi Figures

Ernst Chlandi was a scientist in the late 18th century that is often referred to as the father of acoustics. One of his contributions was the development of Chlandi Plates, a means of studying wave patterns. In these experiments a metal plate of a particular geometry is suspended, sand is placed on it and a […]

Read More Studies in Chlandi Figures

Pandora’s Box

For many years I’ve thought about designing and building a puzzle box built around a poem. My vision was for each stanza of the poem to be written on each of its six sides and that when read in the correct order a secret compartment would open! In fact I created a prototype core that […]

Read More Pandora’s Box

Moon Orrery

orrery [ awr–uh-ree, or– ] noun,plural or·rer·ies. an apparatus for representing the positions, motions, and phases of the planets, satellites, etc., in the solar system.   This endeavor has been the longest continuous build I have ever committed to so it is with great personal excitement to finally post about my Moon Orrery.   The […]

Read More Moon Orrery

3d Printer Laser Etching

This year for my birthday I stepped up my 3d printing game from my 3yr old Monoprice Select V2 to a new Ender-5 Plus; huge upgrade after many years of headache. I was left with what to do with my old printer, certainly too much potential to just throw it away. I thought it too […]

Read More 3d Printer Laser Etching

Cathedral Radio

I’ve always wanted a cathedral radio, the antique sort that is at the corner of classy and gothic. Last summer I came across one at a flea market, it was in incredibly sorry shape which commanded the meager price I was actually willing to pay to own one. Initially I sought to restore the original […]

Read More Cathedral Radio

Framed Skull Relief

I was sitting in the study with my daughter and we were discussing art. After a while we decided we were in the mood to make something ourselves so we sat for a time looking for inspiration. My eyes kept being drawn to the fluffy quilt of talc-like ash in the fireplace and I started […]

Read More Framed Skull Relief

IBM Ponder This 03-19 Solved

Credited with solving this puzzle: Ponder This Challenge: Every real number can be approximated as a ratio of two integers. For example, pi is close to 22/7 but even closer to 3138/999; and there is an even better approximation with a denominator < 1000 (what is it?). We define m=BAT(x,N) as the denominator, m, of […]

Read More IBM Ponder This 03-19 Solved

Magick Summoning Device

This endeavor combined perhaps three of my main artistic interests: difficult mathematical puzzles, quirky engineering and occult oddities with undertones of the macabre.  This is a very long article so if you are a TL;DR sort of person you can scroll down to the bottom for a video of the mechanical contraption in action! A […]

Read More Magick Summoning Device

Avocado Pit Raft

I was eating my breakfast this morning and decided I want to grow my avocado pit. I had one my dad grew me that lasted a long time that I had loved.  I naturally went to grab some toothpicks to suspend it over a glass of water and then I remembered how I roll, so […]

Read More Avocado Pit Raft

IBM Ponder This 01-19 Solved

Credited with solving this puzzle: Ponder This Challenge: Alice and Bob are playing the following game: they start from a number N and each one of them in his or her turn (Alice starts) divides N by any divisor that is either a prime or a product of several distinct prime numbers. The winner is […]

Read More IBM Ponder This 01-19 Solved

Faerie Specimen

I created this oddity that purports to showcase an aged museum specimen of a faerie’s skeleton. I made the skeleton with the 3d printer using human skeletal models and bird wing skeleton drawings. I made the backdrop by combing various diagrams found online. All annotations reworked, positioned and (tediously) translated into latin. The museum placard […]

Read More Faerie Specimen

Firing Lasers at Ghosts

Back in the day I always wanted to send the Ghost Hunters TV show a device and see it used on TV. I didn’t want compensation or credit, I just wanted to see something I made on a TV show. One of these devices I thought of was to be left unattended with audio/video equipment […]

Read More Firing Lasers at Ghosts

Squid Vambrace

With a plasma cutter now in my arsenal and a desire to make an edgy piece of wearable art I decided to attempt to make a piece of armor. After a number of drawings I settled on the idea of a squid wrapped around an arm where the tentacles (squid = 8 legs + 2 […]

Read More Squid Vambrace

Disco-Punk Jukebox

I found this nifty old stereo-furniture piece at a consignment shop that had a center section that folded down to reveal a hidden turntable. I have kind of been on the lookout for an old stereo to refinish and contemporize but I had wanted (and still do) a piece from an older era that might […]

Read More Disco-Punk Jukebox

Hurricane Flood Restored Dresser

I received a message from a friend who was in Texas helping his family recover from hurricane Harvey.  In their coastal town there was significant flooding and when he arrived he discovered a dresser with sentimental value to the family floating in salt water now for several days.  He asked if I would help to […]

Read More Hurricane Flood Restored Dresser

Railroad Spike Knife

I am fortunate to have a friend who is an amateur blacksmith who took the time to get me started hammering hot metal.  Here is the first knife I attempted to make out of a rusty old railroad spike.  It’s not the prettiest knife out there, but I’m pretty proud of it for a first […]

Read More Railroad Spike Knife

Mushroom Specimen

I have a friend with a sizeable collection of spooky oddities that I thought might enjoy adding an evil mushroom specimen to it.  I intended to make a hollow core in order to run blue LEDs in it so that the mushroom might have translucent spots that would slowly pulse a color.  As I got […]

Read More Mushroom Specimen

IBM Ponder This 03-18 Solved

Credited with solving this puzzle: Ponder This Challenge: Alice and Bob are given an interesting challenge. Alice will be given a random vowel (A, E, I, O, or U) in a room without Bob with six randomly set toggle (on/off) switches. She may change the state of at most one switch and then leave the […]

Read More IBM Ponder This 03-18 Solved

Scarab Bass Relief

I recently had a hall mirror fall and the glass and frame broke. After a couple days seeing it ready to go in the garbage I decided to embrace the Japanese philosophy of Wabi-sabi and in particular it’s common artistic form of Kintsugi. I repaired the cracked mirror with a gold seam to bind the […]

Read More Scarab Bass Relief

IBM Ponder This 10-17 Solved

Credited with solving this puzzle: Ponder This Challenge: The solutions for the polynomial equation 131839*x^5+17585*x^4-13258*x^3-18104*x^2-419356*x+52715 = 0 (mod 11100101) encode something related to IBM security, with a single bit error. What does it encode? What is the wrong bit? And how is it related to IBM Security? The solution is that if you order the […]

Read More IBM Ponder This 10-17 Solved

IBM Ponder This 05-17 Solved

Credited with solving this puzzle: Ponder This Challenge: In the string CABACB, each letter appears exactly twice and the number of characters between the “A”s is one, between the “B”s is two, and between the “C”s is three. The same problem with the letters A-E cannot be solved, but adding a space (in the form […]

Read More IBM Ponder This 05-17 Solved

Walking on Grids

Infrequently I stay in Manhattan for work. On one occasion I ended up staying quite some distance away from the office to save the company some money but I still opted to walk in. Along the way I came to think that there is a certain potential efficiency to traveling between two points in the […]

Read More Walking on Grids

IBM Ponder This 04-17 Solved

Credited with solving this puzzle: Ponder This Challenge: IBM recently announced a commercial Quantum computer. Such a computer can factor large numbers, using a Shor algorithm. The challenge this month is to factor at least one of the following three numbers: 27771495424394652906650011597233066116343506387184320546233728271726480989807112498372640545334956743914011373 98296593067163321549931012857525979998165090637663230976866143160359417516252340928637985390415053795128313 1412534667091752138605679066750993949837793629454397369052717798704788621599573184763086599428517731585079 Bonus ‘*’ if you factor all three. Hint: The challenge is […]

Read More IBM Ponder This 04-17 Solved

Other Conway Geometries

I am a huge fan of cellular automata. The fingerprint of God is in the nature of the universe from atomic, to biologic, to economic, to cosmic and at each scope the emergence of complex systems arise not in spite of the lack of a central control but precisely because of it. This is how […]

Read More Other Conway Geometries

Magic Square Sigils

While there are variations, a Magic Squares is a grid of numbers where any row, column and the diagonals sum to a singular constant. There is no shortage of material on constructing them and interesting mathematic facts about them, but of interest to me was the ancient occult fascination with them. They are found around […]

Read More Magic Square Sigils

Multidimensional Minecraft

Imagining physical worlds in higher dimensional space is a passion of mine and I found myself thinking about what architectural features a building might have if it were designed in higher dimensions. To that end I decided I wanted to create a 4d CAD system of sorts so that I could design and explore 4d […]

Read More Multidimensional Minecraft

Modular Craft Bar

I’m a collector of some of the more exotic craft spirits, an enthusiast for historically accurate cocktails and a hobby bartender.  As such I needed to build a bar that would server my needs at home in various locations inside and outside as well as for travel for events. The construction is from cabinet grade […]

Read More Modular Craft Bar

Hypothesis on the Nature of Matter

If you follow my blog you have probably noticed that I spend a good amount of time thinking about and simulating interactions and geometry in higher dimensional spaces.  I enjoy looking for ways to describe mundane behavior we experience through higher dimensional mechanics.  While this often describes the simple and obvious through convoluted means, I […]

Read More Hypothesis on the Nature of Matter

Tiki Statue

I got a pretty good sunburn working out in the yard the day before but I really wanted to be outside to enjoy the nice weather so I was looking for something do in the shade. I took a little walk in my woods and decided with an upcoming Tiki party I would take a […]

Read More Tiki Statue

IBM Ponder This 03-16 Solved

Credited with solving this puzzle (w/ extra credit!): Ponder This Challenge: This month’s challenge is from Yan-Wu He (thanks!) For a non-zero number (in list) (a1,a2,..,an), its square is (…, an,..,a2,a1), Let’s call the number N “squareversed” if its square ends with the reverse of N. For example, N=69714 is “squareversed”, since its square is […]

Read More IBM Ponder This 03-16 Solved

IBM Ponder This 02-16 Solved

Credited with solving this puzzle (w/ extra credit!): Ponder This Challenge: This month’s challenge is about IBM’s InterConnect 2016 conference. Assign each letter a different digit such that the following mathematical equations would be correct (** denotes exponentiation): a**connect = c (mod inter) a**connect = a**toe (mod at) a**connect = a**toe (mod cm) n**i = […]

Read More IBM Ponder This 02-16 Solved

IBM Ponder This 12-15 Solved

Credited with a solving this puzzle.  Tricky one, only a couple solutions in the world submitted: Ponder This Challenge: Last month, Gene Amdahl, an IBM fellow who was the chief architect of the legendary IBM 360 system, died at age 92. In memory of his work, this month’s challenge focuses on the IBM-360 character set […]

Read More IBM Ponder This 12-15 Solved

IBM Ponder This 11-15 Solved

Credited with solving this puzzle.  I added an extra twist to this one to make the phrase have some meaning and I set out to submit a second one that was inappropriate to make the judge chuckle 🙂 Ponder This Challenge: To mark the announcement by IBM CEO Ginni Rometty about a new era of […]

Read More IBM Ponder This 11-15 Solved

Gendered Numbers

An observation I’ve made on mathematics is that much of it seems to be able to be traced back to some bored mathematician coming up with a seemingly arbitrarily rule system for fun and following it through to conclusion.  In so doing they discover interesting and often seemingly useless principles along the way.  This fine […]

Read More Gendered Numbers

IBM Ponder This 08-15 Solved

Credited with solving this puzzle.  This was fun software to write! Ponder This Challenge: Find a way to fold a loop of string in three-dimensional space such that all three projections will be loop-free (i.e., you won’t be able to make a path from a point to itself without backtracking). Provide your answer as a […]

Read More IBM Ponder This 08-15 Solved

Alchemist Cocktail Analysis

How might the prototypical alchemist go about designing the perfect cocktail? It would seem to me that they might start by defining the nature of each ingredient and expect the cocktail to be the composite nature of its parts. While somewhat tongue-in-cheek, I was interested to see what I would learn by taking to completion […]

Read More Alchemist Cocktail Analysis

IBM Ponder This 07-15 Solved

Credited with solving this puzzle: Ponder This Challenge: Four people stand in line with hats on their heads. On the back of each hat is a unique number (i.e., no two people have the same number) between 1 and 6. Each person can see only the numbers of the people in front of him. One […]

Read More IBM Ponder This 07-15 Solved

Multidimensional Visualizer

I spend a lot of time thinking about and working on multidimensional problems.  This can be particularly daunting to visualize so I created a visual tool to allow for the exploration of multidimensional problems.  First, let’s better explain what I mean by a multidimensional problems; so let’s look at an example.  Let’s say my mood […]

Read More Multidimensional Visualizer

IBM Ponder This 06-15 Solved

Credited with solving this puzzle: Ponder This Challenge: IBM’s QRadar system keeps track of events by measuring something every second. It has an anomaly detection system that alerts the user when the current measurement is more than three standard deviations away from the average of all previous measurements. An imaginary attacker is trying to deceive […]

Read More IBM Ponder This 06-15 Solved

IBM Ponder This 05-15 Solved

Credited with solving this puzzle: Ponder This Challenge: Three people are playing the following betting game. Every five minutes, a turn takes place in which a random player rests and the other two bet against one another with all of their money. The player with the smaller amount of money always wins, doubling his money […]

Read More IBM Ponder This 05-15 Solved

Planets Made of Fat

Walking through the kitchen I stopped and became fascinated with the bizarre texture of the fat drippings in a pan my wife had on the stove… so naturally I made them into planets!   Source material:  

Read More Planets Made of Fat

Autocomplete Fun

Before all the Facebook fun was common with posting silly autocomplete recommendations I was a trailblazer laughing at the recommendations Google had for completing your search strings so I decided to write some software to explore this further.  It took a bit of dabbling but I was able to feed text and pull back recommendations […]

Read More Autocomplete Fun

IBM Ponder This 11-14 Solved

Credited with a solution for this puzzle: Ponder This Challenge: There are 24 letters in the Greek alphabet, from alpha, beta, and gamma, through chi, psi, and omega. The names of the letters are of different lengths, from short two-letter names like mu or pi through the seven letters in omicron. We want to generate […]

Read More IBM Ponder This 11-14 Solved

IBM Ponder This 09-14 Solved

Credited with solving this puzzle: Ponder This Challenge: Let b = (2^3^4^5) / (e^n), otherwise stated as “two to the power of (three to the power of (4 to the power of 5)) over e to the nth power”, where n is an integer such that 1 < b < e. Find b, with an […]

Read More IBM Ponder This 09-14 Solved

IBM Ponder This 07-14 Solved

Credited with solving this puzzle: Ponder This Challenge: 32 pebbles are placed on the six edges of a tetrahedron, as shown in the following figure. Two players are playing a game. Each player, on her turn, can take as many pebbles as she chooses, but a minimum of one pebble must be taken each turn, […]

Read More IBM Ponder This 07-14 Solved

Balancing a Triangle

I recall I was taking a shower and was thinking about the mathematics of mobiles, something for another post, but during this I got to thinking about how to generalize a formula for finding the point to balance a triangle such that it would hang like this: I sorted most of it out in my […]

Read More Balancing a Triangle

IBM Ponder This 06-14 Solved

Credited with solving this puzzle (w/ extra credit!): Ponder This Challenge: Design 25 cubes so that each cube’s six faces display integer numbers in the range 0,1,…,31 such that: On each cube, all the numbers are different Any given two cubes share exactly one common number Please give your answer as 25 lines of six […]

Read More IBM Ponder This 06-14 Solved

IBM Ponder This 05-14 Solved

Credited with solving this puzzle: Ponder This Challenge: This month’s challenge is from Michael Kleber, based on a problem invented by David Wilson. Every second, a gun shoots a bullet in the same direction at a random constant speed between 0 and 1. The speeds of the bullets are independent uniform random variables. Each bullet […]

Read More IBM Ponder This 05-14 Solved

IBM Ponder This 04-14 Solved

Credited with solving this puzzle: Ponder This Challenge: Inspired by the viral 2048 game (http://en.wikipedia.org/wiki/2048_%28video_game%29) game, this month’s question is a simpler one-dimensional version of it. Assume that random independent numbers, either 2 or 4 with a 50% chance each, come in from the right side of a bar with N slots. The numbers are […]

Read More IBM Ponder This 04-14 Solved

IBM Ponder This 03-14 Solved

Credited with solving this puzzle: Ponder This Challenge: N lamps are set in a circle, and for each integer M you have a tool that can toggle the state (on/off) of any set of M consecutive lamps. Find a possible N which satisfies the following statements: The sum of its digits is less than 10. […]

Read More IBM Ponder This 03-14 Solved

IBM Ponder This 12-13 Solved

Credited with solving this puzzle: Ponder This Challenge: This month’s challenge is from Michael Brand (thanks!) and a related riddle can be found as the December challenge on his site (“Using your Head is Permitted”, http://www.brand.site.co.il/riddles). Every Christmas, the employees of MegaCorp play a gift-giving lottery game. On the first of December, each of the […]

Read More IBM Ponder This 12-13 Solved

Microwave Gun

I repurposed an old microwave with the intent to make a microwave gun.  When I first had the idea I had an initial delusional vision of it being able to be effective at considerable range, but unfortunately the math just doesn’t hold up.  Just the same I studied the design principals of a properly sized […]

Read More Microwave Gun

Imbroglio Board Game

I am a bit of a board game geek with a relatively sizable collection.  I most prefer collaborative games and fancy a good dungeon crawl, so I set out to make a moderator-less collaborative dungeon crawling game.  After a bit of tinkering I put some creative together and had a one-off prototype produced.  After a […]

Read More Imbroglio Board Game

IBM Ponder This 11-13 Solved

Credited with solving this puzzle: Ponder This Challenge: A three-dimensional cube has eight vertices, twelve edges, and six faces. Let’s call them 0-D, 1-D, and 2-D faces, respectively. Denote f(d,k) as the number of k-dimensional faces of an d-dimensional hyper cube, so f(3,1)=12. Find three cubes (with different dimensions d1, d2, and d3) such that […]

Read More IBM Ponder This 11-13 Solved

Multidimensional Encryption

As more of a study in multidimensional reflections I devised and built the software for an encryption system that obfuscates a message through essentially multidimensional billiards. The process works like this: I define two boundaries, a large outer hypercube within which is a smaller hypercube. Bounded within the large hypercube and containing the smaller hypercube […]

Read More Multidimensional Encryption

Apothecary Box

I made this as a gift to the master bartender that indoctrinated me into period craft cocktails from ingredients and preparation to history and lore.  For all his talents I noticed that he was not well organized with the plethora of interesting and experimental ingredients all around him in mason jars, droppers and such.  I […]

Read More Apothecary Box

IBM Ponder This 12-12 Solved

Credited with solving this puzzle (w/ extra credit!): Ponder This Challenge: 36 people live in a 6×6 grid, and each one of them lives in a separate square of the grid. Each resident’s neighbors are those who live in the squares that have a common edge with that resident’s square. Each resident of the grid […]

Read More IBM Ponder This 12-12 Solved

Turtle 4D

As a child of the 80s I fondly recall learning to program in Logo.  This was a simple language that allowed you to instruct a turtle to draw pictures.  You could give it instructions such as move forward 50 spaces, turn 60 degrees, move forward 50 spaces and repeat 4 times more and it would […]

Read More Turtle 4D

IBM Ponder This 11-12 Solved

Credited with solving this puzzle: Ponder This Challenge: Thanks to Adir Pridor for the following challenge: A gardener plants a tree on every integer lattice point, except the origin, inside a circle with a radius of 9801. The trees are cylindrical in shape and all grow together at the same rate. As the trees grow, […]

Read More IBM Ponder This 11-12 Solved

IBM Ponder This 05-12 Solved

Credited with solving this puzzle: Ponder This Challenge: This month’s challenge is based on a wooden puzzle presented at the tenth Gathering for Gardner conference at Atlanta. There are six sets of jobs. Each set is performed on a different server and each set contains jobs that take 1,2,3,…,10 minutes to run. Obviously, all six […]

Read More IBM Ponder This 05-12 Solved

IBM Ponder This 04-12 Solved

Credited with solving this puzzle, this was a fun one: Ponder This Challenge: This month’s challenge is based on a model suggested by Harry Buhrman, Serge Fehr, Christian Schaffner, and Florian Speelman, who described the garden-hose model in their paper “The Garden-Hose Game: A New Model of Computation, and Application to Position-Based Quantum Cryptography” ( […]

Read More IBM Ponder This 04-12 Solved

Math Music

I don’t recall what I was puzzling over at the time but it was some set of formulas that I was struggling to understand the relationship between.  In my frustration I started to wonder if I were to be able to “hear” the equations would their relationship be easier to grasp, like harmony.  Our brains […]

Read More Math Music

IBM Ponder This 03-12 Solved

Credited with solving this puzzle: Ponder This Challenge: Arrange the numbers 1, 2, 3,…, 63 on the nodes of a balanced binary tree of height 6 such that each distance 1, 2, 3,…, 62 is realized on an edge; i.e., it is the difference of two vertices which are connected with an edge. Please supply […]

Read More IBM Ponder This 03-12 Solved

ElectroResistivity 3D Scanner

I experimented with the notion of being able to generate 3d scans of objects based on their electrical resistance.  This came out of the work I did on my water keyboard that was controlled by locating your hand in a trough of water.  Aside from being able to simply create a novel 3d imaging system […]

Read More ElectroResistivity 3D Scanner

Ukrainian Trident Bird

Someone asked me to design a tattoo that was Ukrainian and involved a Bird, this is what I came up with based on the Ukrainian Trident.  I posted it a while back and I sometimes see it pop up on the web in the context of Ukrainian art which always surprises me that other people […]

Read More Ukrainian Trident Bird

Binaural Beat

I enjoy the show Fringe but I often feel disappointed in myself that while I usually have a number of contraptions in various states of progress on my work bench, none of them are worthy of Walter Bishop’s attention.  I happened to be researching building an ECG to monitor brain waves for a different unrelated […]

Read More Binaural Beat

Time Machine Metronome App

I developed this Android application based on a request from a musician friend to build a metronome that could change time signatures.  Fun project! The Time Machine is the premier metronome for both the student and professional alike.  It is hard to fathom but it is the first and only metronome on the market that […]

Read More Time Machine Metronome App

Puzzle Box Core

I like the idea of puzzles and secret messages.  Codes hidden in plain sight, cryptic maps to treasure guarded by ingenious traps, mansions with hidden doors and all sorts of things of that mysterious nature I find super sexy.  I am also drawn to certain biblical writing and certainly all of the alchemist works written […]

Read More Puzzle Box Core

Rotary Stirling Engine

Every geeky inventor type has a soft spot in their heart for Stirling engines.  It is where elegant engineering meets free-energy no-nothing conspiracy nuts.  The history of the Stirling engine that I recall reading is that it was developed by a priest around the turn of the century as an alternative to the steam engine […]

Read More Rotary Stirling Engine

2D Synthesizer

I went out to see a friend of mine play with his band and It was the first band I had seen play in many years.  My wife was sick and so I went by myself and on the way home I spent the long ride back alone thinking about music theory and instruments.  I […]

Read More 2D Synthesizer

Bar Cabinet

When I moved in I built this liquor cabinet / flip down bar.  I have since seriously outgrown since, but here is when it seemed entirely oversized!   Couple pics of it in progress: The stencil I made and burned into the fold-down bar top:

Read More Bar Cabinet

Solar Orrery

My solar orrery is an artistic design to encode the position of the sun into the surface of a cylindrical wooden block such that it could be rotated to a given date and a rotating 24hr dial riding on a stylus on a snaking groove on the surface of the cylinder would point at the […]

Read More Solar Orrery

Wooden Steins

Just a little fun making some mugs, the first one was more comically large, the second is made from segments that required an interesting jig to taper them in both thickness and width over their length. Revisited this in 2017 for a birthday gift for a friend, pretty happy with the results, particularly making it […]

Read More Wooden Steins