platform

Every axis through one point — the platform generator

Every axis through one point. Four wheels on one rigid body, each rolling without sliding. Each turns about some point on its own axle line, and a rigid body has one such point, so every axle line has to pass through it. That is the whole of steering geometry, and it is a rank condition rather than a formula: here the four rows have rank 2 of 3, leaving a one-dimensional family of twists, and the centre they agree on is 12.000 m to the side. The scrub is 3.2e-17 m per metre — zero, to the last digit.

Four wheels on one rigid body, each rolling without sliding. Each turns about some point on its own axle line, and a rigid body has one such point, so every axle line has to pass through it. That is the whole of steering geometry, and it is a rank condition rather than a formula: here the four rows have rank 2 of 3, leaving a one-dimensional family of twists, and the centre they agree on is 12.000 m to the side. The scrub is 3.2e-17 m per metre — zero, to the last digit.

Wheels, and where they may not gowide

Where it is used

A constraint that takes nothing away Wheels, and where they may not go
Parking is an exponent Wheels, and where they may not go
One wheel on ice More than one input
Two ways to be overconstrained Out of the plane
A circle for the first millimetre Wheels, and where they may not go
The count that counts the wrong thing What can move
The wheel that forbids nothing Wheels, and where they may not go
Every axis through one point Wheels, and where they may not go
The error that is an integral As built
A bearing is a planetary with no teeth Wheels, and where they may not go

All 104 generators

All essays Fields Threads Ladders The mechanism ledger Refutations Concepts Search