Potter

 
Potter.png
 

We went to watch Harry Potter and the Cursed Child and it was really neat.

The aspect of the play that grasped me the most, and what really caught me by surprise, was the use of stage magic, something that should have been obvious in hindsight.  The long flowing cloaks of the wizards was put to great affect in concealing trap doors, harnesses, props and pyrotechnics, all of which made for a spectacular show.  Seeing people vanish or transform before your eyes is so much more tangible and remarkable than watching it in a film.  Plus the Dementors were equal parts terrifying and mesmerising.

All told, I'd give it a nine and three quarters.

Actually there was one other moment that impressed me and I'm not sure it was entirely intentional.  We, like many others, were sitting in the balcony seats.  At one point, one of the characters was raising their hand in a magical gesture (no surprises there) and because they were walking towards and then beyond the front of the stage, everyone in front of us slowly stood up in waves to maintain their view.  In the moment it looked like a spell had been cast over the audience to cause them to stand.  It was quite remarkable really.

Tupper

 
Tupper.png
 

The first time I heard about Tupper's self-referential formula my mind was blown.   The idea of an equation that plotted itself on a graph was wild.   When I took the time to understand the formula, I realised that it was just plotting a 106x17 pixel grid that was essentially a means of decoding a bitmap.  The formula lost its charm a little when thinking that the section above it was identical other than the binary equivalent being incremented by one (i.e. having a little extra dot at the end).

None the less, I think about Tupper's formula every now and then for the potential puzzles it could be used in.   Imagine receiving a postcard addressed to Jeff Tupper and the number below written on it.

7456558717625143833614876830355342230424609112706188186156194763379977292648380019523613686783084587304733127301392969186960873114415737315052284287957163154075204825902258908233816790773018999920813900719633223605331722335212629047269409087912159094740121808363467348997712072794155774924443943388314442529540012651725442751853438324069061565159860822415392061366891606496503782624469301517643577920239831052217971499286769660980064737598820492055031373434551475904143975594175720979665309425437115713599832064

Solved

 
 

Following on from last weeks post; watch my results for the 2x2 Rubik's Cube challenge.

As a complete aside; this was my first time editing in Sony Vegas and my first time in the last few years of editing videos at all.  It felt quite satisfying to shake the rust off.

Cube

 
Cube.png
 

Despite the 2x2 Rubik's Cube being the baby of the family, it's no slouch when it comes to the permutations department.

The corners have eight-factorial positions as well as having three orientations (and three colours).  Actually the eighth one doesn't have much choice on where to go if the other seven have taken their positions, so it's really only three to the power of seven possibilities.

Each of the six faces can be rotated through four positions.  So the number of possible permutations for the little 2x2 cube is:

Corner Permutations multiplied by the Orientation Permutation all divided by the Rotational Permutations.

(8! x 3^7) / (4 x 6) = 3,674,160

With a travel heavy holiday coming up, I recently challenged myself to be able to solve the 2x2 Rubik's Cube “quickly and efficiently”.  The efficiency would come from learning as few algorithms as possible (three or less).  As for the quickly part, the 3.6 million possible permutations mean that you could stumble across the solution within a few weeks of constant play purely by manipulating the pieces at random.  That being said, the world record is less than half a second. Perhaps something below twenty seconds would be suitable.  Ten seconds would be exceptional.

We'll see how things go.

 

 

Dot

 
Dot.png
 

While trying to make a puzzle, I set about the task of finding out if it would be possible to mine anything of interest from taking a short sentence, converting it through Morse code and then binary to get a new string of letters.

Converting letters to Morse code is fairly straight forward, but to convert that in turn to binary needs a few rules.  Lets say that a dot equates to a zero and a dash equates to a one.  That has a nice feel in terms of aesthetics if nothing else.  Additionally, lets ignore the gaps between letters in the Morse code and instead take each word to represent its own ASCII value.

All the letters in the ASCII family start with a one and have seven bits, so taking a list of some 600 common three letter words and a further 500 common four letter words, we end up with a list of 57 potential words.  Only seven of these words resulted in vowels (although two more give us the letter “Y” if we find ourselves desperate).

bat

bit

cat

dam

dew

dim

din

doe

dot

due

gin

got

gut

keg

kin

mad

mag

mar

maw

mid

mum

nag

nun

ode

ore

out

owe

tab

tap

tax

tic

tip

tug

two

yea

yen

zen

zit

date

diet

gate

gene

keen

kent

mean

mere

mine

name

need

nine

note

take

tend

term

text

tone

tune

-... / .- / -

-... / .. / -

-.-. / .- / -

-.. / .- / --

-.. / . / .--

-.. / .. / --

-.. / .. / -.

-.. / --- / .

-.. / --- / -

-.. / ..- / .

--. / .. / -.

--. / --- / -

--. / ..- / -

-.- / . / --.

-.- / .. / -.

-- / .- / -..

-- / .- / --.

-- / .- / .-.

-- / .- / .--

-- / .. / -..

-- / ..- / --

-. / .- / --.

-. / ..- / -.

--- / -.. / .

--- / .-. / .

--- / ..- / -

--- / .-- / .

- / .- / -...

- / .- / .--.

- / .- / -..-

- / .. / -.-.

- / .. / .--.

- / ..- / --.

- / .-- / ---

-.-- / . / .-

-.-- / . / -.

--.. / . / -.

--.. / .. / -

-.. / .- / - / .

-.. / .. / . / -

--. / .- / - / .

--. / . / -. / .

-.- / . / . / -.

-.- / . / -. / -

-- / . / .- / -.

-- / . / .-. / .

-- / .. / -. / .

-. / .- / -- / .

-. / . / . / -..

-. / .. / -. / .

-. / --- / - / .

- / .- / -.- / .

- / . / -. / -..

- / . / .-. / --

- / . / -..- / -

- / --- / -. / .

- / ..- / -. / .

1000011

1000001

1010011

1000111

1000011

1000011

1000010

1001110

1001111

1000010

1100010

1101111

1100011

1010110

1010010

1101100

1101110

1101010

1101011

1100100

1100111

1001110

1000110

1111000

1110100

1110011

1110110

1011000

1010110

1011001

1001010

1000110

1001110

1011111

1011001

1011010

1100010

1100001

1000110

1000001

1100110

1100100

1010010

1010101

1100110

1100100

1100100

1001110

1000100

1000100

1011110

1011010

1010100

1001011

1010011

1111100

1001100

C

A

S

G

C

C

B

N

O

B

b

o

c

V

R

l

n

j

k

d

g

N

F

x

t

s

v

X

V

Y

J

F

N

Z

Y

Z

b

a

F

A

f

d

R

U

f

d

d

N

D

D

Z

Z

T

K

S

z

L

The word “dot” is perhaps the most pleasing.

DOT is -.. / --- / - in Morse and then 1001111 in binary which is the ASCII letter “O”.

 

Otherwise we can make a few interesting phrases like:

Nine Mad Doe

make a terrible

DIN

-. / .. / -. /   . -- / .- / -..   -.. / --- / .

 

1000100   1101100   1000010

and

Tip Kent Nag

because it's

FUN

- / .. / .--.   -.- / . / -. / -   -. / .- / --.

 

1000110   1010101   1001110

Ghoti

 
Ghoti.png
 

I enjoy a good story.

Picture two Victorian gentry sitting around a warm fire during the depths of winter. Surrounded by luxury, one spouting on about how marvellous the English language is.  On and on they drone while their companion, trying to enjoy their decadence in peace, reaches over to their desk and picks up paper, quill and an ink well.  They beautifully write a single word on the page before placing it on the small table in front of them both, being sure to careful moving the tea and scones to one side.

Stopping mid sentence, the more talkative of the two looks down at the word.  Ghoti. Looking inquisitively, they say:

“Go-tee?”

“Goat-ee?”

“Got-eye?”

The writer, speaking for the first time, says “Do you not recognise this word?  The 'GH' is pronounced the same as in the word 'laugh'.  The 'O' as in 'women'.  The 'TI' as in 'motion'.  Given your love of the language, I'm surprised you do not recognise the word 'fish'!”

Of course this is a complete fabrication of how the word “ghoti” came about, but it does make for a good story.

Gruntle

 
Disgruntle.png
 

Gruntle is a perculiar word.

These days, people seem quite pleased with Gruntle.  To dis Gruntle however would make it angry.  A hundred years ago people freely grumbled about Gruntle without it giving so much as a grunt.