Mathematical Art of Yana Mohanty

I am interested in interpreting geometric solids from antiquity and the Renaissance with modern materials. The goal of my work is to introduce the aesthetics and mathematics of these solids to a wider audience. My media includes plastic tiles, mirrors, photography, and strips of Tetra Pak® containers. More about me.

Molecular Fiesta
Joint work with Chris Nho
Plastic Tiles
2025

Full Circles
Strips of Tetra Pak® containers
2024

Joint Mathematics Meetings Art Exhibition , Seattle, WA. 2025.

Intersections: Math, Truth, Art +Humanity, Mercer Island, WA. 2025.

Campanus 2020
Used Tetrapak strips
2020

IYASI 癒し / HEALING: WHAT DID YOU CREATE IN THE TIME OF CORONAVIRUS?!, Japanese Friendship Garden, San Diego, CA. 2021.

Polyplane.org, a traveling exhibit of models of shapes. 2023 and onwards.

The Right Rose
Joint work with Bjoern Muetzel
Plastic tiles and mirrors
2019

Joint Mathematics Meetings Art Exhibition, Denver, CO. 2020

Archimedean Billiards
Joint work with Bjoern Muetzel
Plastic tiles and mirrors
2019

ICERM Illustrating Mathematics, Brown University, Providence, RI. 2019

Rhapsody on a Pentagonal Theme
Photography
2018

Joint Mathematics Meetings Art Exhibition, Baltimore, MD. 2019

Title	Grade Level	Topics	CCSS
Tangrams	Grades 1+	Constructing 2-dimensional shapes	1.G.A.2
Shape Challenge, grade 2 and up	Grades 2+	Constructing polygons	2.G.A.1
Shape Challenge, grade 4 and up	Grades 4+	Constructing polygons; the 4th grade version reflects students’ familiarity with angles and classifying triangles.	3.G.A.1, 4.G.A.1, 4.G.A.2
Fractions	Grades 1 through 5	This sequence takes students from very basic understanding of fractions all the way through multiplying and dividing by fractions.	1.G.A.3, 2.G.A.2, 2.G.A.3, 3.NF.A.1, 3.NF.A.3, 4.NF.A.1, 4.NF.A.2, 4.NF.B.3, 4.NF.B.4, 5.NF
3D Solid Understanding	Grades 2+	Constructing and analyzing a rectangular and other prisms	1.G.A.2
Angle Mania	Grades 4+	Measuring angles, classifying triangles by angle types.	4.MD.C.5, 4.MD.C.7, 4.G.A.1, 4.G.A.2
Ratios plain and golden	Grades 6 through 8	Ratios and proportional relationships; Golden Ratio.	6.RP.A.1, 7.RP.A.2
Volume and Cavalieri's Principle	Grades 6 through 8	Volume and surface area.	HSG.GMD.A1, HSG.GMD.A2, HSG.GMD.A3
Triangles: similar, special, and right	Grades 8+	Similar polygons, special triangles, Pythagorean Theorem, irrational numbers.	8.NS, 8.G.A.4, 8.G.B.6, 8.G.B.7
Platonic and Archimedean Solids	Grades 1+	Platonic and Archimedean solids	Enrichment topic