## Why is the Peano curve called a surjective curve?

Peano’s curve is a surjective, continuous function from the unit interval onto the unit square, however it is not injective. Peano was motivated by an earlier result of Georg Cantor that these two sets have the same cardinality. Because of this example, some authors use the phrase “Peano curve” to refer more generally to any space-filling curve.

### Where can I get computer graphics study notes?

Computer Graphics Notes: Aspirants can get Computer Graphics Lecture Notes and Study Material needed for preparation from here. Furthermore, you will have details regarding Computer Graphics Reference Books, Important Questions, Syllabus, etc. You can download the Computer Graphics Study Material PDF for free of cost.

**Is there a free PDF of computer graphics?**

You can download the Computer Graphics Study Material PDF for free of cost. Access the direct links available on our page and ace up your exam preparation to excel in the exam, develop a deeper understanding of the subject. What are the best resources to learn Computer Graphics? What are the best books to read Computer Graphics?

**Which is the best book for computer graphics?**

Overview of Ray Tracing Intersecting rays with other primitives, Adding Surface texture, Reflections, and Transparency, Boolean operations on Objects. Students who are pursuing B.Tech 2nd Year might be looking for Computer Graphics Books to prepare for exams. Refer to the Best Computer Graphics Books recommended by subject experts.

## How is a Peano curve not a cantor curve?

A continuous image of a segment filling the interior of a square (or triangle). It was discovered by G. Peano [1] . A Peano curve, considered as a plane figure, is not a nowhere-dense plane set; it is a curve in the sense of Jordan, but not a Cantor curve, therefore it does not have a length.

### How to build a Peano curve filling a square?

For a construction of a Peano curve filling a square, due to D. Hilbert, see Line (curve). In Fig. aan analogue of his construction for a triangle (the first six steps) has been drawn (for other constructions, see [2] and [3] ).

**Is the Peano curve a nowhere-dense plane set?**

A Peano curve, considered as a plane figure, is not a nowhere-dense plane set; it is a curve in the sense of Jordan, but not a Cantor curve, therefore it does not have a length. For a construction of a Peano curve filling a square, due to D. Hilbert, see Line (curve).