Bulge Head: a strangely round volume.

by dennedesigns, published

Bulge Head: a strangely round volume. by dennedesigns Jul 21, 2015
0 Share
Download All Files

Thing Apps Enabled

Order This Printed View All Apps


Liked By

View All

Give a Shout Out

If you print this Thing and display it in public proudly give attribution by printing and displaying this tag.

Print Thing Tag

Thing Statistics

1234Views 204Downloads Found in Math


This model shows the volume above the xy-plane, outside of a unit sphere and inside the cardioid of revolution Rho=1+Cos(Phi) (in spherical coordinates). A classic Multivariable Calculus problem asks you to find the volume of the solid. (Of course, using spherical coordinates is the easiest way to solve the problem.)

Equivalently, the region in the xy-plane above the y-axis, outside the unit circle, and inside the cardioid r=1+Cos(Theta) (in polar coordinates) is revolved around the y-axis, creating the "bulge head" volume of revolution.

This object was designed and printed by my WLU summer research student Ryan McDonnell ('17). You can find more details about this model here: http://mathvis.academic.wlu.edu/2015/07/21/bulge-head-solid/


This object was printed on a FormLabs Form 1+ printer using the clear resin. We used 0.2mm slices. It took 190mL resin! The print came out really well. There is just a tiny bit of a bulge at the bottom where the majority of the supports were placed.

The .form file used to print the object is included.

More from Math

view more

All Apps

Auto-magically prepare your 3D models for 3D printing. A cloud based 3D models Preparing and Healing solution for 3D Printing, MakePrintable provides features for model repairing, wall thickness...

App Info Launch App

Kiri:Moto is an integrated cloud-based slicer and tool-path generator for 3D Printing, CAM / CNC and Laser cutting. *** 3D printing mode provides model slicing and GCode output using built-in...

App Info Launch App
KiriMoto Thing App

With 3D Slash, you can edit 3d models like a stonecutter. A unique interface: as fun as a building game! The perfect tool for non-designers and children to create in 3D.

App Info Launch App

Print through a distributed network of 3D printing enthusiasts from across the US, at a fraction of the cost of the competitors. We want to change the world for the better through technology, an...

App Info Launch App

Treatstock is an online platform that offers decentralized manufacturing services such as 3D printing and CNC machining for clients all over the world. We offer free and instant access to comparati...

App Info Launch App

3D print your favourite design with NinjaPrototype, a professional 3D manufacture with consistent quality and speed.

App Info Launch App