Hyperbolic gap

Hyperbolic Gap/Straight Surface Pattern/Hyperbolic Slot/Hyperbolic Surface/Hyperbolic Slit - Science Museum Exhibits Scheme

What It Shows

Hyperbolic Gap (Science Museum, Hyperbolic Gap, Hyperbolic Surface, Hyperbolic Slot, Hyperbolic Slit, Straight Pattern): The desktop is composed of a straight rod that forms a certain angle with the central axis and can rotate around the central axis, and an acrylic plate connected to the central axis. According to the calculation, dig two hyperbolic gaps on two panels and place an iron rod diagonally in the middle of the two panels. Shanghai Inertia Automation Co., Ltd. is the origin factory of Science Museum exhibitions, and it reminds everyone to turn the straight rod by hand. Through observation, it was found that the straight rod can smoothly pass through the bending gap on the acrylic board..

Science Behind It

Hyperbolic slit is a mathematical method used to demonstrate the interesting situation when a tilted straight rod rotates around the Z-axis and the resulting single leaf hyperbolic surface is tangent to a plane perpendicular to the X and Y axes. Shanghai Inertial Automation reminds everyone that a straight rod can skillfully pass through it because when it rotates in a straight line, it draws a three-dimensional circle called a hyperbolic surface in the air. The line drawn along the edge of a hyperbola from the top to the bottom is called a hyperbola. The curve carved on the vertical plate is a hyperbola, which also coincides with the hyperbola drawn on the straight rod, so it can smoothly pass through the hyperbolic slit on the flat plate. Hyperbolic slit hyperboloid (single leaf hyperboloid) can be generated by moving straight lines, where the intersection lines on the carrier surface are hyperboloids.

How to Take Part

Rotate the metal rod on the operating table and observe the hyperbolic groove phenomenon passing through the acrylic board.

Description

The displayed organic glass has two symmetrical curved holes. A straight rod can be moved by hand and can freely pass through curved slits. Thus vividly demonstrating the formation process of hyperbolas. Shanghai Inertial Automation Co., Ltd. is the origin factory of Science Museum exhibitions. It reminds everyone that a straight rod rotates along an axis that is neither parallel nor intersecting, and its trajectory is hyperbolic. Shanghai Inertial Automation reminds everyone to pass through the two sides of the organic glass plane and the axis, and the intersection line obtained is a hyperbola, which is two curved holes and grooves. Due to the arc-shaped grooves on the organic glass plate being part of the rotation trajectory of the straight rod, the straight rod can freely pass through.

Design approach

In real life, people's spatial imagination often deviates, but mathematical methods can help us find the answer. Shanghai Inertial Automation reminds everyone, for example, what is the trajectory of a 10 centimeter long vertical rod when it rotates horizontally around a vertical axis 5 centimeters in front of it? Shanghai Inertial Automation Co., Ltd. is the production factory of Science Museum exhibitions. It reminds us that if this straight rod tilts 30 degrees to the left from the center of the circle and then rotates horizontally around the vertical axis 5 centimeters in front of it, what kind of curved surface will its trajectory be. The correct result is to generate a single leaf hyperbolic surface with ruled surfaces. A ruled surface is a type of surface with special geometric properties that is often encountered in practical applications. Common straight textured surfaces include single leaf hyperbolic surfaces, spiral surfaces, saddle shaped surfaces, etc.

video demonstration