Strategies for Winning Against Loki

Strategies for Winning Against Loki

Assessment

Interactive Video

Created by

Aiden Montgomery

Mathematics

9th - 10th Grade

Hard

The video tutorial explores a game proposed by Loki to settle a conflict, based on John Conway's Brussels Sprouts. The game involves carving crosses and lines on a table, with the goal of making the last valid move. The tutorial analyzes the game's mechanics, revealing that each cross adds four 'lives' and a free move, leading to a pattern in the number of moves required. Despite Loki's advantage, a strategy is suggested to outsmart him by exploiting overlooked rules.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the game proposed by Loki?

To make the last valid move

To create the largest region

To carve the most crosses

To connect all lines without crossing

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many moves does the game end with when starting with a single cross?

Three moves

Five moves

Ten moves

Eight moves

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What pattern is observed when increasing the number of crosses in the game?

The number of moves increases by five each time

The game ends faster

The number of regions decreases

The game becomes unwinnable

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a 'life' in the context of this game?

A move that doesn't create a region

A cross that is not enclosed

A region with multiple lines

A point from which a line can be carved

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when a cross is stuck in an enclosure?

It gains a life

It becomes unusable

It ends the game

It creates a new region

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When do we not create a new enclosure in the game?

When a line is poking out

When a region is divided

When carving a new cross

When connecting two separate clusters

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of a region with exactly one line poking in?

It represents a lost life

It shows a potential enclosure

It marks the end of the game

It indicates a free move

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