Understanding Tupper's Self-Referential Formula

Understanding Tupper's Self-Referential Formula

Assessment

Interactive Video

Mathematics, Computers

10th Grade - University

Hard

Created by

Olivia Brooks

FREE Resource

Matt Parker introduces the number 9609393 and its connection to Tupper's self-referential formula. He explains how the formula plots itself and any 106x17 grid of pixels, using a specific 'k' value. The video demonstrates the process of converting images into plots using binary numbers and highlights the formula's versatility. Matt humorously concludes with a reference to his book, revealing a hidden joke.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the number 9609393 in the context of the video?

It represents a famous mathematical constant.

It is a random number chosen for illustration.

It is used to demonstrate a common mathematical error.

It is the key to understanding a unique mathematical formula.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is unique about Tupper's self-referential formula?

It is used in cryptography.

It is a formula that changes over time.

It is a formula that plots itself.

It can solve any mathematical equation.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What role does the 'k' value play in Tupper's formula?

It determines the color of the plot.

It specifies the position on the x-axis.

It defines the vertical position on the y-axis.

It is used to calculate the plot's size.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the most remarkable feature of Tupper's formula as discussed in the video?

It can plot any 106x17 grid of pixels.

It can only plot mathematical equations.

It is limited to plotting geometric shapes.

It can only plot text-based images.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can any image be plotted using Tupper's formula?

By drawing the image manually on graph paper.

By using a special plotting software.

By converting the image into a binary number and calculating a 'k' value.

By converting the image into a hexadecimal number.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting an image to be plotted using Tupper's formula?

Start from the top right corner.

Convert the image to grayscale.

Use a color filter on the image.

Pixelate the image and start from the bottom left corner.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in determining the 'k' value for plotting an image?

Add the binary number to the original formula.

Multiply the binary number by 17 and convert to base 10.

Convert the binary number to hexadecimal.

Divide the binary number by 17.

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