Euler’s Count

In this Death Match, properly observe the image to correctly count the number of regions and right angles.

Designer(s): Zero Match Type: DM (for 2 players)
Featured in: Master Of All Trades, Squeaky Genius: Legends Untold, The Genius: Code Breakers, tdhe smartass

Each round players are presented with an image consisting of black and white shapes. Players must count the number of regions and the number of right angles and give the total as an answer. The 2nd player to answer may not submit the same amount as the first. After 3 mins or when both players have answered, the player closest to the correct answer scores a point. In the event players are an equal distance from the answer, the player who posted earlier wins. After 20 rounds the player with more points wins. In the event of a tie, the player who got more exactly correct wins. If this is also a tie, the DMO wins.

A note on the definitions of right angles and regions:


A region is a white space surrounded by black. The outmost area touching the red border isn’t considered a region. Black spaces surrounded by white aren’t considered a region.


A right angle must not be split in the image. Eg a line that goes from the centre to a corner of a square does not produce a right angle at that corner.


A right angle must be formed by 2 straight lines. An extended line of a diameter of a circle doesn’t form right angles with the circle.


Right angles aren’t formed within black shapes, a black square isn’t considered to have any right angles. Right angles are also not made with the red border.


In the example below, there are 2 right angles and 5 regions, so the correct answer is 9.






There will not be any angles within 7 degrees of a right angle, other than a right angle.





In Euler’s Count, players will be trying to sum up areas and right angles of black-and-white images as fast as possible.


This game will take place over a maximum of 21 rounds. In each round, both players will be presented with a black and white image surrounded by a red border. The image will consist of various shapes and lines. It could be abstract shapes, or a proper image that displays a more complete picture. Each player will then have to count the number of regions and right angles in the image as fast as possible.




A region is a white space surrounded by black. This means that a simple white circle would be 1 region, whereas two white circles connected (like a venn diagram) would make 3 regions. A region must be completely enclosed by black to count - if any of it is touching the red border, it is not a region. Additionally, black spaces surrounded by white are not considered regions.




A right angle can only be formed by two straight black lines. A right angle must not be split (for example, a square with a 45 degree line in each right angle would not count, as the angle is interrupted). Right angles are not formed within black shapes: a black square isn’t considered to have any right angles, but a white square surrounded by a black border would have four. Right angles cannot be made with the red border, either. There will never be any angles within 10 degrees of a right angle - it will always be relatively clear if it is right or not.




After each image is posted, players must add together the number of regions and right angles, and give the total as an answer. When a player thinks they know the answer, they must buzz in - after buzzing in, they will have approximately 5 seconds to then give their answer. In the event that they are right, they will win the round.




However, if they are wrong, or fail to give an answer, they will be locked out of buzzing again for the next 30 seconds. In this time, their opponent can choose to buzz in themselves, but if they are incorrect, all time penalties will be removed and both players can buzz again.




As soon as a player wins 11 rounds, the game will end and they will be deemed the winner of the Death Match and move onto the next round. The loser will be the first eliminated contestant of The Genius: Code Breakers.




Oiler's Count


If you say You-ler’s Count this time, you are dead to me.

This is the Death Match used in the 5th round of Master of all Trades.


More importantly, this is the Death Match in the 1st round, 4th round, and 12th round of The Genius: Code Breakers. Shaun played in this ORG. Shaun had to play this game twice. He won both times.

Hell! He even clean sweeped his opponent the second time! Eleven to none! He's unstoppable at this game!


However, Shaun is anything but a fair man god. Because he is the one who made the boards (and because he would kick your ass), you will not be battling present Shaun in this game.

You will be battling past Shaun.


You see, in the 1st DM of Code Breakers, I won 11-8 after 19 rounds of playing. For you to beat Shaun, you will need to correctly answer 12 (or more) out of 19 boards that he has prepared.


An Oiler’s Count board is a black-and-white image surrounded by a red border. This image could be of simple abstract shapes and lines or be a complete picture. In either case, your goal is to count the number of regions, right angles, and arches on the board.


A Region is a white area within the image that is completely surrounded by a black border of any shape.

  • Any space touching the red border is not considered a region.
  • Black areas surrounded by white are not considered regions.

A Right Angle is a 90° angle formed by two straight lines.

  • Lines perpendicular to the red border do not form right angles.
  • Right angles are not formed within black shapes.
  • Right angles interrupted by another line do not count.
  • There won’t be any angles within 10° of a right angle.
  • Any angles made with a curved line are not considered right angles.

An Arch is the inner curve of a half-circle.

  • Curves along the outside of a half-circle aren’t arches.
  • Arches aren’t formed in black spaces.
  • Curves made with ellipses (ovals) are not arches.
  • There won’t be curves of ellipses less than 1.5x as tall as they are wide.
  • Arches interrupted by another line do not count.
  • A full circle counts as 2 Arches. Curves larger than a half-circle but less than a circle count as only 1 Arch.

Here are a few example boards and their following counts:



Regions: 6

Right Angles: 8

Arches: 2




Regions: 5

Right Angles: 12

Arches: 2




Regions: 2

Right Angles: 2

Arches: 4



The answer for each Oiler’s Count board is the number of Regions plus the number of Angles minus the number of Arches. A correct answer will give you a point. Whether an answer is correct or not, the next round will begin with a new board.

That is, Your first answer is your final answer. Once submitted, you may not correct your answer unless the answer is completely invalid.

Additionally, you must complete this challenge within the time it took for me to conquer my first Death Match: 44 minutes.


Of course, using photo manipulation tools are not allowed. Calculators are allowed.


There are three Finals Items that may be used during the game.

  1. Daylight Savings — Freeze or accelerates the timer during the round.
  2. Fuck This Round — Skips the current round’s board.
  3. Do You Like Hats? — Well… Do you? Answer the question.

You will have 10 minutes to discuss. You may use this time as you wish. Oiler’s Count will begin shortly.

May some other god be with you, because Shaun is sure not.


.

.

.

Attention players. Er… Attention player. Player named Titan. That’s you. Titan.

The death match has been glitched.


In Glitched Oiler’s Count, nothing is sacred. This glitch has unleashed true absurdity unlike any Observation Death Match seen ever.


In addition, a new mechanic, “Blue” will appear on some of the following boards.

The simplest way to explain Blue is to imagine the board as if it wasn’t there. It only serves to distract you. However, that doesn’t mean what’s behind Blue isn’t only white or black…


Nothing will be held back.

Understand what is being asked of you and comply with haste and accuracy.

Just keep counting. Just keep solving.

Ask no questions. The spirit of Euler compels you.

Nine boards remain. Don’t lose sight of your goal.


That being said,

You have been warned.





Your memory is like any muscle in your body. It has potential to become your greatest strength, yet, if left inert for long enough, can decay into an irreparable state. Hence why an uncountable number of individuals have called upon Mnemnosyne, goddess of memory. From the speaker of the Odyssey to Plato himself, Mnemnosyne is your go-to goddess for keeping your head in check. And she’s never one to turn a follower down. However, in our special case, we’re asking her to dredge up memories of years-old events. So, to balance out the inconvenience providing these snapshots of the past will cause her, she wants a bit of our help.


In Recounting Memories, players will look at images and count the number of regions and right angles in the image.




This Final Match consists of 11 rounds. At the end of the game, the player with the most points wins. If this is a tie, a tiebreaker round is played with no time limit.


Each round lasts for a maximum of 3 minutes. At the start of the a round, an image is posted consisting of black and white shapes. The answer to a round is the number of white 'regions' plus the number of 'right angles'.




Players may only submit one guess per round, and cannot submit the same guess as their opponent. The player who submitted the correct answer earns 2 points. If neither player is correct, the player closest to the true answer scores a point. If both players are equally close, the player who submitted first wins the point.


Image editing software of any kind is not allowed during the game.






Image for a round are always surrounded by a red border; this red border does not contribute to regions or right angles.


A region is a white space surrounded completely by black.

  • A white space that is surrounded by any amount of red is not a region (e.g. an empty image with just the red border has zero regions).
  • Black spaces surrounded by white are not regions (e.g. an image with just a solid black circle has zero regions).

A right angle consists of a 90° angle between two straight black edges.

  • The angle must not be interrupted at the point of intersection. (See Example 3 below)
  • Right angles do not form between lines that are not straight (e.g. a circle and its diameter has zero right angles).
  • Right angles do not form within black areas (e.g. a black square has zero right angles).
  • Right angles are not formed with the red border (e.g. an empty image with just the red border has zero right angles).
  • All straight lines will be at least 10 pixels in length.
  • There will be no angles within 7° degrees of a right angle that aren't right angles.

For examples, please refer to the 'Examples' section.




Each round will last for 3 minutes, with warnings at 120, 60, 30, and 10 seconds remaining. Players must publicly submit their guesses during this time.




Shift: For the next round, your opponent will see a version of the image that has been wrapped around both horizontally and vertically. The corrected image is sent privately to you.

Lockout: Used during a round, your opponent may not submit for the next 30 seconds.

Timeskip: Skips the current round's board. Scoring is skipped. Two-time use.


The item drafting order for Recounting Memories is as follows: Violet, Jamie, Violet.

This draft will be done just before the match begins.






This example has 6 regions and 8 right angles. Therefore, the answer is 14.




This second example has 5 regions and 12 right angles. Therefore, the answer is 17.




This final example has 2 regions and 2 right angles. Therefore, the answer is 4.



Tags


Buzzer-based    (The game involves a buzzer, with the first person to buzz in being given the opportunity to answer.)


Observation    (The game tests the players' observational skills.)


Simultaneous    (The game involves players taking their turns simultaneously.)