The Desmos online graphing calculator is useful for visualizing mathematical equations such as the squircle.
"The only reason for time is so that everything doesn't happen at once." -Albert Einstein
20131025
Formulas for Squircles
Labels:
Mathematics
,
Observed
20131013
Pocket Trains Strategy Guide
Getting started:
Aim to build and operate five railroads between 11 cities in Europe. This is sufficient to fund the start up phase.
The Jobs button leads to a list of available cargo to haul, grouped by city, mixed with items parked in the yard. Upgrade the station to increase the yard size. Each prospective shipment has a coin-number assignment (1 through 4) to indicate relative value of the job. Maximize profit by prioritizing selections in the following order: bux, crates, event cargo, 4-coin, yard cars. Choose 3-coin and 2-coin only if the higher priority shipments are not available. This strategy might involve hauling a few pieces in the opposite direction temporarily. Choose to haul as many cars as possible. Don't bother with 1-coin offers unless there's no better option and it is delivered at the next destination - storing single coin cars clutters valuable yard space.
Let's take a closer look...
The Jobs button leads to a list of available cargo to haul, grouped by city, mixed with items parked in the yard. Upgrade the station to increase the yard size. Each prospective shipment has a coin-number assignment (1 through 4) to indicate relative value of the job. Maximize profit by prioritizing selections in the following order: bux, crates, event cargo, 4-coin, yard cars. Choose 3-coin and 2-coin only if the higher priority shipments are not available. This strategy might involve hauling a few pieces in the opposite direction temporarily. Choose to haul as many cars as possible. Don't bother with 1-coin offers unless there's no better option and it is delivered at the next destination - storing single coin cars clutters valuable yard space.
Let's take a closer look...
20130820
20130731
Galaxy Empire
We reviewed this free on-line strategy game last year. Since then, we've developed eight planets, acquired five moons, gained over 27 million points, and ranked in the top 70 players on one of the many game servers. With this experience, we've compiled a few tips and tricks learned along the way:
1) As new planets are developed, don't bother with solar plants...they are a waste of space on the planet. Fusion plants are much more efficient. If a little extra power is required, put up some solar satellites. Here's an example: if Energy Tech is researched to level 15, the output from a level 16 Fusion plant is 8889 energy. The solar plant on the other hand requires level 28 to generate 8075 energy - not quite as much, yet it uses up valuable planetary space that can be put to better use by increasing mines to higher levels.
2) After making careful observations of all metrics across planets, research, production, construction, ship efficiency, battle reports, etc., we could find no benefits to improving Plasma Technology beyond level 10, other than gaining double score points for spending resources on research. We asked Support about the specific effect when upgrading Plasma Tech beyond level 10. Here is their response:
3) Each scan using the EU-X radar array costs 50K in gas. Be sure to have a reserve available on the moon.
4) Try specializing some planets. By sacrificing a few levels in the other mines on a planet, a higher gain can be had in another. For example, a level 39 metal mine with Lv7 four-star metal galactonite equipped on the planet produces 770K/h. That's over 18M per day...not bad!
5) Researching Hyperspace Tech reduces fuel requirements for fleet transit. As a result, there is a corresponding increase in the amount of cargo that can be loaded. It doesn't change the cargo capacity of the ships, but be aware that the fuel used for flying is also loaded into the cargo bay, therefore reducing fuel requirements increases space for transport.
6) To identify where improvements can be made, create a one page spreadsheet to tally building levels and production numbers across planets. For example, to optimize for Destroyer production, aim toward the ratio 48:40:12 - that is 48% of total production should be metal, 40% crystal, and 12% gas. Our next goal is to determine the optimal configuration of mines for a given planet size with respect to Destroyer production. Stay tuned.
7) On the defensive side, every 16 ion cannons is equal to one large shield dome. It takes 2.5 plasma cannons to take out a dreadnought and 3.5 to eliminate a destroyer. Build accordingly.
8) Expenditures of gas to move ships around does not contribute toward score.
1) As new planets are developed, don't bother with solar plants...they are a waste of space on the planet. Fusion plants are much more efficient. If a little extra power is required, put up some solar satellites. Here's an example: if Energy Tech is researched to level 15, the output from a level 16 Fusion plant is 8889 energy. The solar plant on the other hand requires level 28 to generate 8075 energy - not quite as much, yet it uses up valuable planetary space that can be put to better use by increasing mines to higher levels.
2) After making careful observations of all metrics across planets, research, production, construction, ship efficiency, battle reports, etc., we could find no benefits to improving Plasma Technology beyond level 10, other than gaining double score points for spending resources on research. We asked Support about the specific effect when upgrading Plasma Tech beyond level 10. Here is their response:
The plasma tech can be used in the construction of the new fleet, the tech has powerful combatting force. Every upgrading the tech can let you to construct the higher one or the stronger weapon or fleet. if you did have the relative tech, you can not have other fleets or weapon.Huh? We were hoping for a comprehensible response such as, "there is a 1% gain in metal mining production", or "there is no specific gain beyond level 9", or "good idea - look for an improvement in the next version".
3) Each scan using the EU-X radar array costs 50K in gas. Be sure to have a reserve available on the moon.
4) Try specializing some planets. By sacrificing a few levels in the other mines on a planet, a higher gain can be had in another. For example, a level 39 metal mine with Lv7 four-star metal galactonite equipped on the planet produces 770K/h. That's over 18M per day...not bad!
5) Researching Hyperspace Tech reduces fuel requirements for fleet transit. As a result, there is a corresponding increase in the amount of cargo that can be loaded. It doesn't change the cargo capacity of the ships, but be aware that the fuel used for flying is also loaded into the cargo bay, therefore reducing fuel requirements increases space for transport.
6) To identify where improvements can be made, create a one page spreadsheet to tally building levels and production numbers across planets. For example, to optimize for Destroyer production, aim toward the ratio 48:40:12 - that is 48% of total production should be metal, 40% crystal, and 12% gas. Our next goal is to determine the optimal configuration of mines for a given planet size with respect to Destroyer production. Stay tuned.
7) On the defensive side, every 16 ion cannons is equal to one large shield dome. It takes 2.5 plasma cannons to take out a dreadnought and 3.5 to eliminate a destroyer. Build accordingly.
8) Expenditures of gas to move ships around does not contribute toward score.
20130615
Root Beer Research
Labels:
Observed
Barq's root beer tastes better the colder it gets. Near freezing, it becomes more syrupy and fizzy...refreshing on a warm day, especially after some heavy-duty yard work. Looking at the ingredients however, it is sad to see HFCS (high-fructose corn syrup) and sodium benzoate. Time for a change. Further investigation online revealed a store appropriately named "The Root Beer Store". They carry over 100 brands of root beer, and although prices are a tad steep, we are seeking these four brands of root beer: Bulldog, Virgil's, Sprecher, and Capone. (...almost sounds like a law firm!) These selections are based on favorable reviews found on The Soda Jerks. Elsewhere, we discovered several good reviews of Vintage brand root beer which can now be found at Trader Joe's stores.
Update: Obtained the four aforementioned items from the Root Beer Store and wow, the Bulldog is amazing. Two additional recommended root beers to obtain and sample: Hank’s and So Duh! Rockin’. Plus, Centennial Root Beer from Brewbakers in Huntington Beach.
Update: Obtained the four aforementioned items from the Root Beer Store and wow, the Bulldog is amazing. Two additional recommended root beers to obtain and sample: Hank’s and So Duh! Rockin’. Plus, Centennial Root Beer from Brewbakers in Huntington Beach.
20130603
Objective-C and Code::Blocks
Labels:
Programming
Tricky to get this combination operational. The wiki entry is helpful for configuration. Not finding any of the Objective-C libraries in the default installation, we located what might be the correct support files on the TDM site. But after adding these matched libraries, we ended up with compiler warnings and a segmentation fault during the first alloc, using the simple test code on the wiki page. Next thing to try was the troubleshooting suggestion of removing libobjc.dll.a ... but that resulted in a laundry list of "undefined reference to" ... precisely the message the wiki entry claims the removal will avoid!
Finally, what worked was removing the entire mingw installation from the CodeBlocks directory (just delete everything in the mingw directory, version 4.7.1) and install mingw using the installer referenced on the mingw website. During installation, set the install directory to the mingw directory under CodeBlocks and then select to install the C, C++, and Objective-C compilers. This resulted in a good installation of GCC 4.6.2, a warning-free compile, and a faultless run...yay!!! (Remember, you cannot do any Apple development with this configuration, so including foundation.h is not allowed. But you can learn and play with the fundamentals of the Objective-C language on the Windows platform in preparation for moving to a Mac for iOS or OSX app development.)
Finally, what worked was removing the entire mingw installation from the CodeBlocks directory (just delete everything in the mingw directory, version 4.7.1) and install mingw using the installer referenced on the mingw website. During installation, set the install directory to the mingw directory under CodeBlocks and then select to install the C, C++, and Objective-C compilers. This resulted in a good installation of GCC 4.6.2, a warning-free compile, and a faultless run...yay!!! (Remember, you cannot do any Apple development with this configuration, so including foundation.h is not allowed. But you can learn and play with the fundamentals of the Objective-C language on the Windows platform in preparation for moving to a Mac for iOS or OSX app development.)
20130506
Artist Clarification
People sometimes mistakenly refer to a bust of Giuliano de' Medici by Michelangelo as a bust of David by the same sculptor. Although they may look similar, a careful study of the two sculptures reveals that the two faces are quite different. Here are links to images in Wikipedia: Giuliano and David.
David (left) and Giuliano (right)

David (left) and Giuliano (right)
20130414
The Blockheads
Labels:
Strategy
Clever, intriguing, and well-engineered game! Presently investigating optimal methods to mine for gold and time crystals.
20120617
20120604
Galaxy Empire
Labels:
Strategy
This free on-line strategy game is extremely engaging and time-consuming. An iOS clone of OGame, it combines elements of science fiction, flight management, factory logistics, planetary exploration, and battle tactics. There are many upgrades including somewhat complex requirements dependencies. For example, the research lab needs to be at level 7 before researching hyperspace technology which is needed before developing hyperspace drives which are required to build battleships.
There are several paths a player can take in this game. For example, the tutorial introduces the mines, the shipyard, research, defenses, constructing a small fleet, attacking an enemy (other players), and colonizing a new planet. After the tutorial, although it might be tempting to try some more attacks, it only makes sense to go back to basics and focus on upgrading infrastructure (mining, defense, ship building, and research) until somewhat stronger.
Two worthwhile tips: 1) Colonize a planet in a system other than the starting system. 2) If a probe is detected by radar prior to attack, deploy all fleet to another colony along with as much material as possible. In the present version of the game, planetary structures (mines, research lab, shipyard, etc.) cannot be damaged or destroyed by enemy fire.
Review here
Explore tips here
Wiki here
There are several paths a player can take in this game. For example, the tutorial introduces the mines, the shipyard, research, defenses, constructing a small fleet, attacking an enemy (other players), and colonizing a new planet. After the tutorial, although it might be tempting to try some more attacks, it only makes sense to go back to basics and focus on upgrading infrastructure (mining, defense, ship building, and research) until somewhat stronger.
Two worthwhile tips: 1) Colonize a planet in a system other than the starting system. 2) If a probe is detected by radar prior to attack, deploy all fleet to another colony along with as much material as possible. In the present version of the game, planetary structures (mines, research lab, shipyard, etc.) cannot be damaged or destroyed by enemy fire.
Review here
Explore tips here
Wiki here
20120531
Labels:
Strategy
Flight Tycoon tips: To maximize sales, first build the city next to your airport to a population of 50,000 - achievable before level 10 if you replace low-cost buildings with restaurants. When you reach this population, your outbound planes will be fully loaded with passengers.
Next, upgrade your planes as often as you can. The most efficient planes are the hardest to obtain due to the research and mastery process. The Concorde, however, can be purchased from the in-game store and earns about $19K per hour on short flights. If you can, stick to one or two cloud (measure of distance) routes since they pay the most, but require more frequent turn-arounds. Only fly into airports that return full loads.
If you buy fuel when the price dips, you can average under $6.20 a barrel. Expand your airport ramps as soon as you can afford it, but open then sequentially as you acquire aircraft so that friends don't take them all. To minimize losing a ramp when you upgrade an aircraft, buy your new plane first, then quickly drop the old route and build the new one. When friends do fly into your airport, turn them around as quickly as possible - you'll earn a bonus of 20% of the inbound route revenue.
If you follow these tips, you can achieve level 34 in two weeks.
Next, upgrade your planes as often as you can. The most efficient planes are the hardest to obtain due to the research and mastery process. The Concorde, however, can be purchased from the in-game store and earns about $19K per hour on short flights. If you can, stick to one or two cloud (measure of distance) routes since they pay the most, but require more frequent turn-arounds. Only fly into airports that return full loads.
If you buy fuel when the price dips, you can average under $6.20 a barrel. Expand your airport ramps as soon as you can afford it, but open then sequentially as you acquire aircraft so that friends don't take them all. To minimize losing a ramp when you upgrade an aircraft, buy your new plane first, then quickly drop the old route and build the new one. When friends do fly into your airport, turn them around as quickly as possible - you'll earn a bonus of 20% of the inbound route revenue.
If you follow these tips, you can achieve level 34 in two weeks.
20120513
Labels:
Strategy
Pocket Planes vs Flight Tycoon: Really enjoying the airport simulator genre. Flight Tycoon employs high resolution graphics while Pocket Planes (soon to be released) prefers low-res graphics like Tiny Tower. Both simulators are free on the iOS platform and share the common goal of growing a fleet of planes to ferry passengers. Presently, we're investigating how to maximize sales (flight earnings) using the most efficient planes and optimal destinations in Flight Tycoon. To learn more about Flight Tycoon, take a look at this walk-through. A preview of Pocket Planes can be found here.
Pocket Planes is expected to be available June 14. Watch the trailer available on YouTube.
Pocket Planes is expected to be available June 14. Watch the trailer available on YouTube.
20120222
Labels:
Strategy
Isoball 3: A challenging mental exercise where you construct a pathway for a ball using a fixed set of resources like blocks, inclined planes, bridges, elevators, and directional. In some cases there are multiple solutions to a level. This game is free and runs in Google Chrome.
In the attached photo of level 75, the blue ball drops from the chute, runs down the ramp, gets an added boost from the conveyer belt, makes a right and rolls across a power bridge though a tunnel that pops out at the upper right. From there, the ball goes down the 3-level elevator, makes two more right turns and heads into another tunnel popping out at the upper middle. After passing though the four tunnel openings, the target doors open in the lower left and the ball makes its final descent in the four-level elevator.
In the attached photo of level 75, the blue ball drops from the chute, runs down the ramp, gets an added boost from the conveyer belt, makes a right and rolls across a power bridge though a tunnel that pops out at the upper right. From there, the ball goes down the 3-level elevator, makes two more right turns and heads into another tunnel popping out at the upper middle. After passing though the four tunnel openings, the target doors open in the lower left and the ball makes its final descent in the four-level elevator.
20120221
Labels:
Strategy
Shadow Cities: Still a strangely attractive world. Earned the red spider "sigil" this past weekend. Accomplished by assisting in the collaborative vanquishing of the powerful Arachne Weaver. One or more participants "gain" the Shadow Spirit at the end of the battle. Ten gains earns the red sigil.
Architect realm liking link
Architect realm liking link
20120202
Labels:
Strategy
TripleTown: Solo board game that challenges you to build a small "city" by matching three of a kind objects to open up space to place yet more items. Haven't made it passed Outpost yet. Really silly looking bears.
20120126
Labels:
Strategy
SimCity 2000 on Windows 7 (x64): Although it runs great in almost every way on the relatively newer operating system, the SimCity 2000 program quits whenever Load or Save is selected. After investigating file permissions and compatibility suggestions found online, the only solution that worked for this studio is to run the program within Windows XP Mode and Windows Virtual PC. These tools are free from Microsoft here. Note: through Remote Desktop, performance is notably sluggish.
The screenshot below demonstrates SimCity running within the virtual environment. Just after program launch, the anticipated dialog box appears successfully upon selecting "Load Saved City". Yay!
The screenshot below demonstrates SimCity running within the virtual environment. Just after program launch, the anticipated dialog box appears successfully upon selecting "Load Saved City". Yay!
20120110
James Franklin Hyde Chart: This colorful arrangement of elements has been a studio favorite since acquiring a pair of the posters in 1976. This one is mounted on a foam-core backing and it has held up nicely through the years. Notice the pivotal placement of hydrogen, carbon, and silicon at the center. Rather than calling it a periodic table of elements, one could describe it with adjectives such as curved, circular, spiral, rings, and looping.
J. F. Hyde, “A Newly Arranged Periodic Chart,” Chemistry, September 1976, 49(7), 15-18
See this bulletin for a little more history behind this chart.
See this bio on Mr. Hyde. Another from wayback.
Also check out this database of periodic tables.
See also wikipedia
J. F. Hyde, “A Newly Arranged Periodic Chart,” Chemistry, September 1976, 49(7), 15-18
See this bulletin for a little more history behind this chart.
See this bio on Mr. Hyde. Another from wayback.
Also check out this database of periodic tables.
See also wikipedia
20120106
Labels:
Strategy
Shadow Cities: On December 12th, game developer Gray Area released three more levels beyond 15. It is possible to level from 15 to 18 within 4 weeks, sooner with more effort.
Below is a chart of average damage at levels 11 through 18. The nine lower set of points are un-buffed hits. All data was collected while leveling up.

Below is a chart of average damage at levels 11 through 18. The nine lower set of points are un-buffed hits. All data was collected while leveling up.
20111028
20111025
Labels:
Strategy
Shadow Cities: Amazing and free multi-player location-based real-time strategy game. Join either the Architects or the Animators, then carry out missions warping to beacons across the globe with your iPhone/iPod/iPad during a weekly three-round battle campaign. Missions range from energy harvesting and solo entity quests to full-scale battles for territory or teamwork to control the powerful Arachne Weaver. Earn medals; advance levels; persist and discover the brilliancy of this game. And one more word: adrenaline
Check out these resources if you want to get started:
Watch the trailer
Sign up here
Read about levels
Watch out for the level 8 bug
Read this thread
"Like" my realm on Facebook to give me a vitality boost!
With determination, it is possible to achieve level 15 within two weeks.
Check out these resources if you want to get started:
Watch the trailer
Sign up here
Read about levels
Watch out for the level 8 bug
Read this thread
"Like" my realm on Facebook to give me a vitality boost!
With determination, it is possible to achieve level 15 within two weeks.

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