YouTube uses an algorithm (ie. a formula) for calculating the amount of income earnt by a clip from advertising. There are multiple issues involved including how long viewers watch the ad, the demographics (age group) and the actual sales (Retailers actually do review ad costs vs increased sales. Always. They are not idiots.)
Here is the basic method used to calculate ad revenue for a Youtube creator. Remember, a creator must have a minimum of 10,000 hits on their channel before any revenue is paid.
Of course, pop stars use Youtube as a promotion platform. They can earn money through multiple Youtube clips, sponsors, merchandise and live perfomances. Nevertheless, it is surprising how little money is earned by each clip.
The Pixar film, Finding Dory, began as storyboard sketches. There were 103,000 drawn for the film. The sketches are placed side-by-side in sequence in order to convey scenes and deliver a rough sense of how the story unfolds.
How many 64-page Exercise books would the story board take?
Only one side of the page of the 64-page exercise book would be used for storyboarding.
No. exercise books = 102,000/32=3,187.5
If put into flip Book form the story board sketches would produce a ‘rough’ version of the film.
Superman Vs Goku
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2. Ratio
If you are making a film about, say, Godzilla, you want him to be big. VERY BIG. But he has to share a screen with human characters.
If Godzilla is too big all the humans look like ants.
If he is too small … he looks like a toy TRex.
The Monster Maths:
Height: 108.2m Godzilla’s towering height in the 2014 film—the tallest onscreen incarnation ever
Tail: 167.74m Total length of Godzilla’s spiked tail
Volume: 89,724 m3 Godzilla’s total volume in the 2014 film.
Volume: 90,000 tons Godzilla’s volume if filled with water
Teeth: 1.07mLength from the root to the tips of Godzilla’s canine teeth
Teeth: 60 Teeth in Godzilla’s mouth
Roar: 4.83km Approximate distance Godzilla’s roar reverberates. (100,000W Power of the 3.7m-high, 5.5m-wide speaker array from which the sound designers blasted Godzilla’s roar to record the sound in a “real world” context)
Feet: 17.66mTotal width of Godzilla’s feet across the widest point
Feet: 18.18m Length of Godzilla’s footprint from toe to heel
You vs Godzilla
The average height for 14-year-old boys in the U.S. is 164 cm.
For 14-year-old girls in the U.S. the average height is 158.75 cm.
Godzilla = 108.2 m
We’ll assume an average height of, say, 1.6m for a 14 yo.
14 yo =1.6 m
Height:
108.2/1.6 = 67.6 = 68
Footprint
You vs Godzilla’s Footprint
18.18/160 =11.4
Teeth
You vs Godzilla’s Tooth
1.07/1.60 = 0.7
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3. 3D Modeling: Polygon Count
3D modeling can be approached in several ways. There is a good explanation here.
One method is to use a 3D scanner to produce a 3D mesh.
Godzilla model under construction
Digital Godzilla as 3D mesh
The mesh consists of polygons. You’ll find everything you want to know about polygons here.
The greater the no. of polygons the better the resolution in a 3D mesh, the better theresolution of the character or object as more shading and texture variation can be added.
So the POLYGON COUNT or POLY COUNT is a measure of the quality of an image.
Here are some POLY COUNTS:
Godzilla
500,000 polygons.
It took the 4 CGI artists 6 months to fully nail the texture of Godzilla’s scales. (See above)
Elysium
Just the space station ran close to 3 trillion polygons.
Transformers 2
Devastator had 13 million polygons
Clash of the Titans
The Kraken had 7 million Polygons.
Avatar
Apart from some bluescreen shots of live-action actors in cockpits, it’s all CG: gunships, missiles, smoke trails, water, fire, an army of photorealistic virtual characters and a giant tree made of 20 million polygons with 1.2 million leaves.
The POLY COUNT is always greater in animated movies than in video games mainly because a higher poly count takes longer and costs more. A higher resolution is needed in a movie as it is shown on a much bigger screen.
Gollum: Game vs Film 3D model
Here are some POLY COUNTS for some popular games:
The Amazing Spiderman
Spiderman – 11,652
Assassin’s Creed 3
Benjamin Franklin – 17,744
Charles Lee – 25,994
Connor Kenway – 28,501
Desmond – 14,934
Haytham Kenya – 19,985
Batman: Arkham City
Batman: Film Version
Batman: Game Model
Batman Beyond suit – 13,050
Harley Quinn – 17,731
Harley Quinn (DLC) – 19,110
Poison Ivy – 15,977
Call of Duty: Black Ops
Frank Woods (full gear) – 19,777
Crysis 2 (console)
Nano suit – 19,073
Multiplayer suit – 27,414
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FREE 3D MODELING FOR MIDDLESCHOOL STUDENTS
TINKERCAD is the free online resource that allows students to create their own 3D graphs – like Godzilla vs You (above) or 3D images that can be used for 3D printing. Play with the program. Mathspig had a little play and produced the genetically challenged chicken (below).
The Pixar film, Finding Dory, began as storyboard sketches. There were 103,000 drawn for the film. The sketches are placed side-by-side in sequence in order to convey scenes and deliver a rough sense of how the story unfolds.
How many 64-page Exercise books would the story board take?
Only one side of the page of the 64-page exercise book would be used for storyboarding.
No. exercise books = 102,000/32=3,187.5
If put into flip Book form the story board sketches would produce a ‘rough’ version of the film.
Superman Vs Goku
………………………………………..
2. Ratio
If you are making a film about, say, Godzilla, you want him to be big. VERY BIG. But he has to share a screen with human characters.
If Godzilla is too big all the humans look like ants.
If he is too small … he looks like a toy TRex.
The Monster Maths:
Height: 355ft Godzilla’s towering height in the 2014 film—the tallest onscreen incarnation ever
Tail: 550ft 4in Total length of Godzilla’s spiked tail.
Volume: 90,000 tons Godzilla’s volume if filled with water
Teeth: 3.51ft Length from the root to the tips of Godzilla’s canine teeth
Teeth: 60 Teeth in Godzilla’s mouth
Roar: 3 miles. Approximate distance Godzilla’s roar reverberates. (100,000W Power of the 12-foot-high, 18-foot-wide speaker array from which the sound designers blasted Godzilla’s roar to record the sound in a “real world” context)
Feet: 58ft Total width of Godzilla’s feet across the widest point
Feet: 60ft Length of Godzilla’s footprint from toe to heel
You vs Godzilla
The average height for 14-year-old boys in the U.S. is 64.5 inches or 5 feet 4½ inches.
For 14-year-old girls in the U.S. the average height is 62.5 inches or 5 feet 2½ inches.
Godzilla = 355ft
14 yo =5’ 3”
Height:
355/5.25= 67.6 = 68
To make a 3D graph like this see below.
Footprint
You vs Godzilla’s Footprint
60/5.25 =11.4
Teeth
You vs Godzilla’s Tooth
3.5/5.25 = 0.7
………………………………………………
3. 3D Modeling: Polygon Count
3D modeling can be approached in several ways. There is a good explanation here.
One method is to use a 3D scanner to produce a 3D mesh.
Godzilla model under construction
Digital Godzilla as 3D mesh
The mesh consists of polygons. You’ll find everything you want to know about polygons here.
The greater the no. of polygons the better the resolution in a 3D mesh, the better theresolution of the character or object as more shading and texture variation can be added.
So the POLYGON COUNT or POLY COUNT is a measure of the quality of an image.
Here are some POLY COUNTS:
Godzilla
500,000 polygons.
It took the 4 CGI artists 6 months to fully nail the texture of Godzilla’s scales. (See above)
Elysium
Just the space station ran close to 3 trillion polygons.
Transformers 2
Devastator had 13 million polygons
Clash of the Titans
The Kraken had 7 million Polygons.
Avatar
Apart from some bluescreen shots of live-action actors in cockpits, it’s all CG: gunships, missiles, smoke trails, water, fire, an army of photorealistic virtual characters and a giant tree made of 20 million polygons with 1.2 million leaves.
The POLY COUNT is always greater in animated movies than in video games mainly because a higher poly count takes longer and costs more. A higher resolution is needed in a movie as it is shown on a much bigger screen.
Gollum: Game vs Film 3D model
Here are some POLY COUNTS for some popular games:
The Amazing Spiderman
Spiderman – 11,652
Assassin’s Creed 3
Benjamin Franklin – 17,744
Charles Lee – 25,994
Connor Kenway – 28,501
Desmond – 14,934
Haytham Kenya – 19,985
Batman: Arkham City
Batman: Film Version
Batman: Game Model
Batman Beyond suit – 13,050
Harley Quinn – 17,731
Harley Quinn (DLC) – 19,110
Poison Ivy – 15,977
Call of Duty: Black Ops
Frank Woods (full gear) – 19,777
Crysis 2 (console)
Nano suit – 19,073
Multiplayer suit – 27,414
………………….
FREE 3D MODELING FOR MIDDLESCHOOL STUDENTS
TINKERCAD is the free online resource that allows students to create their own 3D graphs – like Godzilla vs You (above) or 3D images that can be used for 3D printing. Play with the program. Mathspig had a little play and produced the genetically challenged chicken (below).
Australia and UK write their dates DD/MM/YY and the 14th March or 14.3 is nothing to get excited about.
2. EUROPE
Pi in Europe is pronounced Pee. So 14th March Would be
Pee Day.
And Pee Day would not be something to encourage in Middle School. Also the perfume below is hilarious in Europe.
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Nevertheless, here are 2 interesting appearances by Pi in the movies plus a middle school challenge to count the Pi’s in the movie clip.
1. A Beautiful Mind
In this movie where Russell Crowe plays Mathematician Nobel Laureate John Nash, there is a maths blooper involving Pi. Watch for pi on the window at 43 seconds.
You should have seen 0<π<1. But we all know π = 3.1415 etc. For those mathematically fastidious an argument can be put that π can be used as a variable, which would make the statement true. But π is a universal constant so using π as a variable is just STUPID.
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2. Pi: The Movie
This 1998 psychological thriller promo clip is also the coolest maths promo you will ever see. It is only 1.42 mins long and it is big on π. But be warned the full lenght moive (SPOILER ALERT) involves madness, π and self-lobotomising with a power drill with a ‘happy’ ending.
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Pi Day Challenge:
How many times do you see π in this clip? Watch carefully!!!!!
When Marge is accused of stealing from Apu’s Quickie Mart his memory is tested. He says his memory is very good. He can recite pi to 40,000 places!!! Also on Numberphile: A Mile of Pi.
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2. The Late Show with David Letterman
Maths savant Daniel Tammet explains that he can recite Pi to 22,000 places. But wait until you hear how long it takes. Amaaaazing!!!!!
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3. Star Trek
Spock sorts out a computer with the command to calculate Pi. Cool!!!!
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4. Mathletics
Look for the second maths blooper in this clip. The folks at Mathletics get Pi wrong!!!!! Great spotting Mathologer.
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5. MTV Kate Bush
Some may prefer to listen to Apu reciting Pi to 40,000 decimal places. Nevertheless, here is Kate Bush singing about Pi.
Cars (and trucks) have been used as weapons by drivers purposefully driving into crowds including:
2014: Saint-Jean-sur-Richelieu, Quebec
2014 : Jerusalem, Israel.
2016: Nice, France
2016: Berlin, Germany
2017: Jerusalem, Israel
2017: Melbourne, Australia.
What does the maths tell us?
Melbourne is Mathspig’s home town. The car attack killed, tragically, 6 people and injured many more. The question many seem to ask is:
Why can’t people get out of the way?
Look at the video below of the Melbourne car. It doesn’t appear to be going that fast. But the maths tells a different story. You need quite a distance between you and a car travelling at approx 60 kph to have enough time to run clear. (See calculations below)
How fast do you react?
We will set your reaction time at 0.4 sec. This allows time for you to react and turn. If you want to test your reaction time go here. But remember you have to turn as well.
How fast would you run?
According to the Telegraph, UK, the average human can run at 15.9 mph (25.6 kph) and the National Council of Strength and Fitness 15 mph (24.1kph), which Mathspig has rounded off to 25 kph.
How do you escape a car travelling at 60 kph towards you when you are less than 9 m away?
Jump upwards!
You might reduce the impact and even go over the roof.
