<div id="cookie_notice" class="sw-cookie-notice sw--padding-vert-4 sw--padding-hor-1 sw-dms--box-shadow--big"> <div class="sw-dms--color-white sw-grid-flex sw-grid-flex--wrap-mob sw-grid-flex--wrap--tab"> <div class="sw-cookie-notice__text--mob sw--padding-left-8 sw--font-size-14 sw-grid-flex__cell-5-7 sw-grid-flex__cell-1-1--mob sw-grid-flex__cell-1-1--tab"> We use cookies to offer you a better browsing experience, including personalized advertising. By continuing to use the site you agree to their use. <a href="/legal/privacy-statement" target="_blank">Learn more</a> </div> <div class="sw-grid-flex__cell-2-7 sw-grid-flex__cell-1-1--mob sw-grid-flex__cell-1-1--tab"> <a class="sw-dms-button noty_close sw--padding-hor-7 sw--position-absolute sw--position-right sw--margin-right-13 sw--hide-mobile sw--hide-tablet" data-sw-set-cookie="euCookie">OK</a> <a class="sw-cookie-notice__btn--mob sw-cookie-notice__btn--tab sw-dms-button noty_close sw--padding-hor-7 sw--margin-vert-3 sw--hide-desktop" data-sw-set-cookie="euCookie">OK</a> </div> </div> </div>

Click and drag to rotate
Cayley's Ruled Cubic (1 Pinch Point at Inf.) 3d printed

Not a Photo

Green Processed Versatile Plastic
Cayley's Ruled Cubic (1 Pinch Point at Inf.) 3d printed
Cayley's Ruled Cubic (1 Pinch Point at Inf.) 3d printed

Not a Photo

Cayley's Ruled Cubic (1 Pinch Point at Inf.)

Made by
Ships as soon as 9 days
3D printed in deep green, richly colored nylon plastic with a smooth finish.
Product Description

This classic from the 19th century one of the three essentially different types of ruled cubic surfaces: no, one, or two real pinch points. The example presented here has first been mentioned by A. Cayley in the 1850's and is the case of one pinch point; in the model shown, however, this pinch point is infinitly far away so that the hole surface is perfectly smooth away from the vertical double line.

Ruled cubic surfaces are some of the simplest mathematical surfaces which may be described by a single polynomial equation (of degree three for cubics). As many quadrics (degree 2) they are swept out by a family of straight lines (and thus contain infinitly many lines) in contrast to most other cubic surfaces which contain either 27 or even fewer lines.

The model also shows the circle which was used to construct this ruled surface so that it is easy to understand this construction when looking at the model.

What's in the box:
Cayley's Ruled Cubic (1 Pinch Point at Inf.)
11.43 x 9.63 x 14.85 cm
Switch to inches
4.5 x 3.79 x 5.85 inches
Switch to cm
Success Rate:
First To try.
What's this?
Mature audiences only.
Sign In or Join to comment.


We're sorry to inform you that we no longer support this browser and can't confirm that everything will work as expected. For the best Shapeways experience, please use one of the following browsers:

Click anywhere outside this window to continue.