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**Stories | Science fiction | Bobby Adair**

I've read a whole lot of books in Bobby Adair's zombie series, Slow Burn. He writes well.

So, it may be good news for fans that his book Freedom's Fire (book 1 in the Freedom series) is currently for free on Amazon.

#StoriesonGooglePlus #ScienceFiction #BobbyAdair #FreeBook

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**Happy Birthday | Writers on G+**

+Gord McLeod had a birthday last week.

He's an enormously talented writer of sci fi and steampunk. I've read many of them, and I was never disappointed (even when I raised my expectations based on previous stories). I honestly think he should have won a few international awards by now, but he's too modest to nominate his works for them. (Eyeroll).

You can buy his books here:

https://www.amazon.com/s/ref=dp_byline_sr_ebooks_1?ie=UTF8&text=Gord+McLeod&search-alias=digital-text&field-author=Gord+McLeod&sort=relevancerank

Or here:

https://itunes.apple.com/sv/book/determination/id592271423?l=en&mt=11

Or support him on Patreon here:

https://www.patreon.com/GordMcLeod

Or check out his G+ presence on the community Fiction Improbable.

Or just wish him a belated happy birthday... :)

#StoriesOnGooglePlus #GordMcLeod #ScienceFiction

Happy Birthday +Gord McLeod!

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**Happy Birthday**

Happy birthday, +Maarten Hofman. May your steampunk books sell like hotcakes!

For regulars in this collection, I have added a link to the books on Amazon. You can find them elsewhere, as well. Maarten wrote his first book about 10 years ago, as part of NaNoWriMo, and has gone from strength to strength since then. He's not giving up his day job as a software engineer, though, because he has lots of fun writing complicated software that makes people's lives easier.

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**Stories | Science Fiction |**

**+Matthew Stephens**

Matthew Stephen's book

*Ark Hive*continues. We get glimpses of how a closed resource society handles crime, retirement, and death.

And yet, and yet. The Surface is soon to be accessible. Nobody needs to live in the ocean any more. And yet, will 12 generations' of comfort with the brine be so easy to give up?

Read and buy.

#MatthewStephens #ScienceFiction #StoriesOnGooglePlus #ArkHive

New Chapter Day! Two New Chapters of The Ark-Hive!

#Free to read. Try before you buy.

#Free to read. Try before you buy.

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**Stories | Space opera |**

**+Carlos Carrasco**

Carlos Carrasco's book

*One Last Flight*is being serialised on his blog, one chapter every Monday, for beta readers.

He's up to Chapter 5 by now, and very interesting the story is, so far.

Gaelic, once a Federation Forces member, then a criminal and eventually escaped prisoner, has built a new life for himself as a courier for a crime lord on Ramage, a planet in the Open Zone coveted by the Federation, the Empire and assorted other Great Powers. He's looking to die in peace in the next month or so, but things go differently.

There are plenty of exotic aliens, high tech and low life. If you like soap opera, check this out.

#StoriesOnGooglePlus #SpaceOpera #ScienceFiction #CarlosCarrasco #OneLastFlight

Gaelic of Arkum is a smuggler. He is scratching out a living for himself hauling all manner of illicit goods across the deeps of space for a ruthless crime lord. Gaelic is an ex-junkie living under a false identity. Gaelic is a traitor, hiding from the forces of the Federation of Free Planets he once served.

Gaelic of Arkum is also terminally ill.

All he wants to do with the little time he has left is drop off his last haul, get paid, and hole up in his favorite cat house for a week before shoving off back into space for one last flight straight down the maul of oblivion.

His boss however has other plans for him, plans that risk trapping Gaelic between the fleets of The Holy Terran Empire and their rivals, his former comrades, the Federation of Free Planets. And if the prospects of dying in the custody of the Federation's Special Forces or the Empire's equally zealous Knights Templar weren't bad enough, Gaelic's buried past is suddenly unearthed and confronts him with shame and guilt and a hatred long thought dead.

It's all enough to make Gaelic of Arkum wonder just who he has to kill to be able to die in peace!?!

One Last Flight is a tale of love, loss and redemption in the shadow of war.

The novel is being serialized on a chapter per week basis. Click the link below for the first chapter and enjoy!

Gaelic of Arkum is also terminally ill.

All he wants to do with the little time he has left is drop off his last haul, get paid, and hole up in his favorite cat house for a week before shoving off back into space for one last flight straight down the maul of oblivion.

His boss however has other plans for him, plans that risk trapping Gaelic between the fleets of The Holy Terran Empire and their rivals, his former comrades, the Federation of Free Planets. And if the prospects of dying in the custody of the Federation's Special Forces or the Empire's equally zealous Knights Templar weren't bad enough, Gaelic's buried past is suddenly unearthed and confronts him with shame and guilt and a hatred long thought dead.

It's all enough to make Gaelic of Arkum wonder just who he has to kill to be able to die in peace!?!

One Last Flight is a tale of love, loss and redemption in the shadow of war.

The novel is being serialized on a chapter per week basis. Click the link below for the first chapter and enjoy!

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**Maths, simple and awesome maths!**

The Basel problem, solved geometrically. This is so simple and elegant.

A must watch video.

Thanks for sharing, +philippe roux and +Yonatan Zunger

#Maths #BaselProblem #InfiniteSeries

A pleasing diversion for your weekend: In 1735, Leonhard Euler proved that 1 + 1/4 + 1/9 + 1/16 + ... = π²/6. You can show this through various algebraic means, but when π is involved, it's often a sign that you can think of it in some geometric way involving circles. That's exactly what this video does, using lighthouses around the shore of an infinite lake. It uses two key insights.

First, if (like me) you have three spatial dimensions, then the brightness of a light decreases as the inverse square of your distance from it. There's a simple geometric reason why: imagine a light in empty space, surrounded by a spherical screen. All of the light ends up touching that screen. If you double the radius of the screen, the exact same amount of light reaches it, but the surface area of the screen has quadrupled. More generally, if you multiply the radius of the screen by x, the total amount of light stays the same, but the surface area increases proportionally to x². That means that the amount of light per unit area of the screen must decrease, proportional to 1/x², so that the total stays the same. And if your "sensor screen" -- say, the retina of your eye -- stays the same size, then as it moves away from the center, the total amount of light it receives goes down by 1/x² as well.

Why does this depend on us having three dimensions? Because if you have three spatial dimensions, you need a two-dimensional surface to surround a light, and so its area scales as x². If we lived on a plane, you would instead surround the light by a circle, whose circumference scales as x, and we would have an inverse-linear law; if we lived in four spatial dimensions, you would need a 3-sphere, and you would get a 1/x³ law instead. This is a very important fact in modern physics, where lots of things happen in higher- or lower-dimensional spaces, not least because this doesn't just apply to light: it applies to any force that gets "radiated" from a point, which is anything from light, to electric fields, to gravity.

But in this problem, we aren't using any of the physics, or thinking about other dimensions: we just use the fact that the brightness of lights scales as 1/x² to let us think about this infinite sum, which we can now think of as the total brightness you would see from an infinite series of identical lights, 1, 2, 3, 4, and so on units away from you on a line.

The second trick is to figure out how we can rearrange those lights, keeping the total brightness constant, into something else which is easier to think about. And that's where the video shows some clever geometry, using the Pythagorean Theorem: a way to replace one light with two lights whose total brightness is the same. They apply this idea to a single lighthouse on the opposite shore of a circular lake, and show it's the same as two lighthouses, equally angularly spaced on the shore of a lake twice as large. That, in turn, is the same as four lighthouses on the shore of a lake four times as large, and so on, and so forth... until you end up with lighthouses evenly spaced along an infinitely large lake. And since an infinitely large circle, viewed from along its edge, looks like a line, you end up with a pattern that looks very much like the infinite line of lighthouses that describe the sum. That means that we can replace those infinite lighthouses with just the single light on the opposite shore of the original lake -- and so compute its brightness.

Go watch the video, if you have some time; it's a fun way to get some mathematical intuition, all the while imagining how a small lake can be a lot like an infinite one.

First, if (like me) you have three spatial dimensions, then the brightness of a light decreases as the inverse square of your distance from it. There's a simple geometric reason why: imagine a light in empty space, surrounded by a spherical screen. All of the light ends up touching that screen. If you double the radius of the screen, the exact same amount of light reaches it, but the surface area of the screen has quadrupled. More generally, if you multiply the radius of the screen by x, the total amount of light stays the same, but the surface area increases proportionally to x². That means that the amount of light per unit area of the screen must decrease, proportional to 1/x², so that the total stays the same. And if your "sensor screen" -- say, the retina of your eye -- stays the same size, then as it moves away from the center, the total amount of light it receives goes down by 1/x² as well.

Why does this depend on us having three dimensions? Because if you have three spatial dimensions, you need a two-dimensional surface to surround a light, and so its area scales as x². If we lived on a plane, you would instead surround the light by a circle, whose circumference scales as x, and we would have an inverse-linear law; if we lived in four spatial dimensions, you would need a 3-sphere, and you would get a 1/x³ law instead. This is a very important fact in modern physics, where lots of things happen in higher- or lower-dimensional spaces, not least because this doesn't just apply to light: it applies to any force that gets "radiated" from a point, which is anything from light, to electric fields, to gravity.

But in this problem, we aren't using any of the physics, or thinking about other dimensions: we just use the fact that the brightness of lights scales as 1/x² to let us think about this infinite sum, which we can now think of as the total brightness you would see from an infinite series of identical lights, 1, 2, 3, 4, and so on units away from you on a line.

The second trick is to figure out how we can rearrange those lights, keeping the total brightness constant, into something else which is easier to think about. And that's where the video shows some clever geometry, using the Pythagorean Theorem: a way to replace one light with two lights whose total brightness is the same. They apply this idea to a single lighthouse on the opposite shore of a circular lake, and show it's the same as two lighthouses, equally angularly spaced on the shore of a lake twice as large. That, in turn, is the same as four lighthouses on the shore of a lake four times as large, and so on, and so forth... until you end up with lighthouses evenly spaced along an infinitely large lake. And since an infinitely large circle, viewed from along its edge, looks like a line, you end up with a pattern that looks very much like the infinite line of lighthouses that describe the sum. That means that we can replace those infinite lighthouses with just the single light on the opposite shore of the original lake -- and so compute its brightness.

Go watch the video, if you have some time; it's a fun way to get some mathematical intuition, all the while imagining how a small lake can be a lot like an infinite one.

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**Stories | Science fiction | Book review | Gary Kuyper**

An ironic look at time travel, in a well written collection of five sci fi short stories.

#StoriesOnGooglePlus #ScienceFiction #TimeTravel #BookReview #FreeBook #GaryKuyper

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**Stories | Science fiction | Book review |**

*Grey Enigmas***| Gareth Lewis**

An excellent detective story set in the crimefree far future, where, unbelievably, a murder has occurred, which is solved by a detective you can love to read more about.

#StoriesOnGooglePlus #FreeBook #ScienceFiction #BookReview #GarethLewis

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**Stories | Science Fiction | Book review**

A standard alien abduction story by JD Lowes.

#StoriesOnGooglePlus #BookReview #ScienceFiction #AlienAbduction

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