Lecture

4D illusions

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Description

This lecture explores various optical illusions, such as forced perspective, anamorphosis, and impossible objects, within the context of interactive games. These illusions not only have artistic roots but also delve into complex mathematical concepts, pushing the boundaries of traditional illusions through the use of video games.

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Related concepts (8)

Interactive film

An interactive film is a video game or other interactive media that has characteristics of a cinematic film. In the video game industry, the term refers to a movie game, a video game that presents its gameplay in a cinematic, scripted manner, often through the use of full-motion video of either animated or live-action footage. In the film industry, the term "interactive film" refers to interactive cinema, a film where one or more viewers can interact with the film and influence the events that unfold in the film.

Interactive fiction

Interactive fiction, often abbreviated IF, is software simulating environments in which players use text commands to control characters and influence the environment. Works in this form can be understood as literary narratives, either in the form of interactive narratives or interactive narrations. These works can also be understood as a form of video game, either in the form of an adventure game or role-playing game.

Video game

A video game or computer game is an electronic game that involves interaction with a user interface or input device (such as a joystick, controller, keyboard, or motion sensing device) to generate visual feedback from a display device, most commonly shown in a video format on a television set, computer monitor, flat-panel display or touchscreen on handheld devices, or a virtual reality headset. Most modern video games are audiovisual, with audio complement delivered through speakers or headphones, and sometimes also with other types of sensory feedback (e.

Mathematics

Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.

Mathematical proof

A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation".

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Exercise 07: Series 20, Exercise 4