Please answer the following two questions that pertain to Lecture 06 and Lecture 07.

  1. A simplicial complex can be described in the abstract using two lists, one for the geometry, e.g. the positions of vertices, and one for the topology, e.g. the simplices. Please state the dimension, embedding space, and boundary of the following simplicial complex, that has geometry:

    (0,0,0)
(1,0,0)
(0,1,0)
(0,0,1)

    And has topology (integer indices refer to each 0-simplex and are indexed starting by zero):

    {0}    {0, 1}    {0, 1, 2}
{1}    {0, 2}    {0, 1, 3}
{2}    {0, 3}    {0, 2, 3}
{3}    {1, 2}    {1, 2, 3}
       {1, 3}
       {2, 3}

    It may help to draw a picture (although such a picture is not necessary in your submission). How does this simplicial complex change if the simplex {0,1,2,3} is added?

  2. Explain both the expressiveness and effectiveness principle described by both Mackinlay’s paper and in Munzner’s textbook. Using both principles, explain why color might be a suboptimal choice for encoding quantitative data.

Grading

Submit your quiz in a folder called quizzes in your git repo. Within this folder create a file Q02.txt that has your answers.

For each question, I’m expecting an answer of 150 words or less. Aim to answer each question in a single paragraph.

I plan to grade your answer on a scale of 0-5, where 5 indicates that you completely answered all portions of the question. Thus, you will receive a score of 0-10 for this quiz. This score will be scaled to the total value of this quiz for your final grade (1%).