Interactive Demo
Relation Builder
Relation Builder is a free, interactive learning demo from the Relations and Functions Course Wiki course on Lykke. It helps you build intuition for Relation in a set A, Empty Relation, Universal Relation, Trivial Relations. Play with it directly in your browser — it features 1 dropdown and 2 buttons. Observe how `R` changes. This demo lives in the “1.2 Types of Relations” section of the course.

How to use this demo
- Observe how `R` changes.
- Use the “Empty Relation”, “Universal Relation” buttons to trigger actions or reset the demo.
- Pick an option from the dropdown to switch between scenarios.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Relation in a set A
- Empty Relation
- Universal Relation
- Trivial Relations
- Reflexive Relation
- Symmetric Relation
- Transitive Relation
- Equivalence Relation
- Equivalence Classes
Frequently asked questions
What does the Relation Builder demo do?
Relation Builder Build Your Relation `R` in Set `A` Click cells to add or remove ordered pairs. Relation Builder lets you explore this hands-on instead of only reading about it.
What Relations and Functions Course Wiki concept does Relation Builder teach?
This section systematically defines and illustrates various types of relations, starting with empty and universal relations. It then introduces the core properties of reflexive, symmetric, and transitive relations, whic… It focuses on Relation in a set A, Empty Relation, Universal Relation, Trivial Relations, Reflexive Relation, Symmetric Relation from the “1.2 Types of Relations” section.
What can I control in Relation Builder?
A dropdown switches between scenarios; the “Empty Relation”, “Universal Relation” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does Relation Builder fit into the Relations and Functions Course Wiki course?
This course wiki provides a comprehensive guide to relations and functions, building upon foundational concepts from earlier studies. It systematically explores various types of relations, including empty, universal, re… This demo is the interactive piece for the “1.2 Types of Relations” section. Open the full Relations and Functions Course Wiki course wiki at https://www.getlykke.com/explore/public/relations-and-functions-course-wiki-ad678865-07f3-4ac0-a085-b945a3d5441f for notes, flashcards, quizzes and the other demos.
What will I understand better after using Relation Builder?
You'll build intuition for Relation in a set A, Empty Relation, Universal Relation, Trivial Relations, Reflexive Relation, Symmetric Relation — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Relations and Functions Course Wiki alone.
From the Relations and Functions Course Wiki course
This interactive demo is part of the 1.2 Types of Relations section. Explore the full Relations and Functions Course Wiki course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the Relations and Functions Course Wiki course →