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10/29/23, 8:03 PM 4D Practice: Fa23 - MODERN MATHEMATICS: PLAN II (55330) https://utexas.instructure.com/courses/1366856/quizzes/1840692 1/7 4D Practice Due Nov 1 at 11:59pm Points 1 Questions 7 Available until Nov 29 at 11:59pm Time Limit None Allowed Attempts Unlimited Instructions Attempt History Attempt Time Score KEPT Attempt 2 5 minutes 1 out of 1 LATEST Attempt 2 5 minutes 1 out of 1 Attempt 1 16 minutes 0.83 out of 1 Correct answers are hidden. Score for this attempt: 1 out of 1 Submitted Oct 29 at 8:02pm This attempt took 5 minutes. Unlimited attempts, as always. Take the Quiz Again 0.1 / 0.1 pts Question 1 Answer 1: Answer 2: Answer with integers only: If you take level slices of a 1D object, then most level slices should have 0 dimensions. If you take level slices of a 2D object, then most level slices should have 1 dimensions. If you take level slices of a 3D object, then most level slices should have 2 dimensions. If you take level slices of a 4D object, then most level slices should have 3 dimensions. 0
10/29/23, 8:03 PM 4D Practice: Fa23 - MODERN MATHEMATICS: PLAN II (55330) https://utexas.instructure.com/courses/1366856/quizzes/1840692 2/7 Answer 3: Answer 4: 1 2 3 0.1 / 0.1 pts Question 2 Answer 1: Answer 2: Answer 3: Answer 4: Answer with integers only. If you are looking at an object's level slices and most of them are 0D, then you know the object will have 1 dimension(s). If you are looking at an object's level slices and most of them are 1D, then you know the object will have 2 dimension(s). If you are looking at an object's level slices and most of them are 2D, then you know the object will have 3 dimension(s). If you are looking at an object's level slices and most of them are 3D, then you know the object will have 4 dimension(s). 1 2 3 4 0.1 / 0.1 pts Question 3 The boundary of a 1D triangle is 2 vertices (also known as 0D triangles). The boundary of a 2D triangle is 3 line segments (also known as 1D triangles). How many 2D triangles are there in the boundary of a 3D triangle (tetrahedron)? 4 How many 3D triangles are there in the boundary of a 4D triangle? 5
10/29/23, 8:03 PM 4D Practice: Fa23 - MODERN MATHEMATICS: PLAN II (55330) https://utexas.instructure.com/courses/1366856/quizzes/1840692 3/7 Answer 1: Answer 2: Answer 3: How many 4D triangles are there in the boundary of a 5D triangle? 6 4 5 6 0.1 / 0.1 pts Question 4 Answer 1: Answer 2: Answer 3: The boundary of a 1D cube is 2 vertices (also known as 0D cubes). The boundary of a 2D cube (also known as a square) is 4 line segments (also known as 1D cubes). How many 2D cubes are there in the boundary of a 3D cube? [ Select ] How many 3D cubes are there in the boundary of a 4D cube? [ Select ] How many 4D cubes are there in the boundary of a 5D cube? [ Select ] 6 8 10 0.1 / 0.1 pts Question 5 Here are five 1D level slices of a 2D object. What could that object look like? Select all that apply.
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10/29/23, 8:03 PM 4D Practice: Fa23 - MODERN MATHEMATICS: PLAN II (55330) https://utexas.instructure.com/courses/1366856/quizzes/1840692 4/7
10/29/23, 8:03 PM 4D Practice: Fa23 - MODERN MATHEMATICS: PLAN II (55330) https://utexas.instructure.com/courses/1366856/quizzes/1840692 5/7 0.25 / 0.25 pts Question 6 Answer 1: Answer 2: Answer 3: Answer 4: Answer 5: Answer 6: Answer 7: Answer 8: Answer 9: Answer 10: Finish the table of features for cubes. Answer with integers only. Dimensions Vertices Edges Faces 3D Fillings 4D "fillings" 0 (Vertex) 1 0 0 0 0 1 (Line segment) 2 1 0 0 0 2 (Square) 4 4 1 0 0 3 (Cube) 8 12 6 1 0 4 (Tesseract) 16 32 24 8 1 8 12 6 1 0 16 32 24 8 1
10/29/23, 8:03 PM 4D Practice: Fa23 - MODERN MATHEMATICS: PLAN II (55330) https://utexas.instructure.com/courses/1366856/quizzes/1840692 6/7 0.25 / 0.25 pts Question 7 Answer 1: Answer 2: Answer 3: Answer 4: Answer 5: Answer 6: Answer 7: Answer 8: Answer 9: Answer 10: Finish the table of features for triangles. Answer with integers only. Dimensions Vertices Edges Faces 3D Fillings 4D "fillings" 0 (Vertex) 1 0 0 0 0 1 (Line segment) 2 1 0 0 0 2 (Triangle) 3 3 1 0 0 3 (Tetrahedron) 4 6 4 1 0 4 (4-simplex) 5 10 10 5 1 4 6 4 1 0 5 10 10 5 1
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10/29/23, 8:03 PM 4D Practice: Fa23 - MODERN MATHEMATICS: PLAN II (55330) https://utexas.instructure.com/courses/1366856/quizzes/1840692 7/7 Quiz Score: 1 out of 1