UCLA Olga Radko Endowed Math Circle

ORMC Meetings • 2022-2023 Academic Year

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For meetings prior to Fall 2022, visit the Circle Archive.

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Students will study the Polybius and Caesar cyphers.


Students will warm up solving an anagram. Then they will study the pigpen and rail fence ciphers.


Students will take one last look at ciphers, solve fun problems of other types, and take a quiz on ciphers.

Handouts: Lesson 10

Students will continue their study of logic.


Students will continue studying math logic.


Students will finish the Intro to Math Logic mini-course and take a quiz. If time permits, they will start a new topic, Lineland.


Students will continue studying various shapes intersecting lines and planes.


Students may possibly start the next topic, Traveling on a Cube, if time permits.


We will cover Chapter 15 -- exploring how objects in a higher number of dimensions look when projected into a smaller number.


We will continue with our study of the mathematics of projection. This week we will study Flatland -- a 2D world, in which 3D shapes appear in projected form.


We will do a recap of lineland and flatland, including a short quiz. Then we will start the next topic, which is inverse operations.


We will discuss the book Flatland. Then we will finish Chapter 18, on inverting operations. If we have time, we start a new Chapter on geodesics (shortest paths) on the cube.


In this class we will study geodesics, also known as shortest paths. In most of our experience shortest paths are straight lines. Given any 2 points there is exactly one shortest path between them. But there are spaces in which shortest paths look very different and for which two point may have two very different shortest paths between them (Ch. 19).


We will review Chapter 19, on shortest paths on a cube that students were able to pre-study for homework. Then we will cover Chapter 20, which is a review of both topics. There will be a short quiz. Time permitting, we will start to look at Egyptian multiplication.


We will finish covering Egyptian multiplication.


We will finish studying Chapter 22, revisiting binary numbers. For our class, it is not necessary for students to have studied this topic before in Beginners 1.