What is a zero dimensional hole?

A 0-dimensional hole is a pair of points in different path components, and so H0 measures path connectedness.

Are there zero dimensions?

A “singularity” is a zero dimensional object without any size, volume or any other dimensional attribute. A point has zero dimensions. There’s no length, height, width, or volume. Its only property is its location.

Can you apply MMC to perpendicularity?

Perpendicularity will most likely have an MMC or LMC callout if gauge control is used in a production environment. It allows both size and orientation to be measured quickly on the line, as opposed to having to measure perpendicularity with a CMM.

What is FCF in engineering?

An FCF is the name of a GD tolerance symbol used on a drawing. This tolerance only controls how flat this surface is. GD tolerances. Unlike limits of size, tolerances of location must reference at least one datum plane, usually three. An example of this can be seen in Fig.

What is the 10th dimension?

the 10th dimension is a single point that represents all the possible branches of every possible timeline of all the potential universes. To recall string theory, superstrings vibrating in the 10th dimension are what create the subatomic particles that make up not only our universe, but all universes.

Can you have a negative dimension?

Dimension of a (finite dimensional) vector space is defined as the cardinality of a basis for the vector space. Since the cardinality cannot be negative, negative dimension for vector spaces is meaningless.

What is the 5th dimension?

The fifth dimension is a micro-dimension which is accepted in physics and mathematics. It’s here to have a nice and seamless tie between gravity and electromagnetism, or the main fundamental forces, which seem unrelated in the regular four-dimensional spacetime.

What is the least material condition?

The least material condition is used to manage the size and position of holes, as well as the thickness of the material. For example, if a part’s hole has imprecise size or position under the least material condition (the hole has maximum size), the part will have insufficient strength and may break.

What does MMC and LMC mean?

MMC is the condition of a feature which contains the maximum amount of material, that is, the smallest hole or largest pin, within the stated limits of size. LMC is the condition in which there is the least amount of material, the largest hole or smallest pin, within the stated limits of size.

What is the difference between dimensional tolerancing and GD?

Principle of Independency Size tolerance regulates the size of dimensions, while geometric tolerance regulates the shape and positional relationship. Therefore, it is not a matter of which is better, but of using them together to give efficient tolerance instructions.

What does zero mean in ordinate dimensioning?

Dimension 0 (zero) tells you where your origin is, and all dimensions, regardless of which side they are on, come from it. I love ordinate dimensioning. I do all sorts of parts with dozens of holes and other features in them, where anything other than ordinate dimensioning would be an unreadable mess.

What to do when dimensions are too close to zero?

If dimensions are too close to zero to tell, give them a noticeable jog. For positive vs. negative, you could sketch arrows and add notes to indicate positive and negative direction. This would indicate the sign for dimensions in each quadrant without forcing one to maintain and check signs on individual dimensions.

Can a circular hole be defined with polar coordinate dimensioning?

Define at least four points along an irregular profile. • Circular hole patterns may be defined with polar coordinate dimensioning. • When possible, dimension angles in degrees and decimal parts of degrees.

How big is a tolerance cylinder for a datum hole?

The perpendicularity control says that there is a tolerance cylinder that is 0.1 diameter that is exactly perpendicular to datum [A]. The axis of the unrelated actual mating envelope of the datum hole must fall within this tolerance cylinder.