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Math of Honeycombs
Transcript of Math of Honeycombs
The honeycomb conjecture states that a regular hexagonal grid or honeycomb is the best way to divide a surface into regions of equal area with the least total perimeter
A HEXAGON HAS 6 SIDES
DO YOU KNOW SOMETHING THAT HAS INFINITE SIDES?
A HEXAGON CAN BE BROKEN DOWN TO 6 CONGRUENT EQUILATERAL TRIANGLES
WHAT CAN YOU SAY ABOUT SYMMETRY IN A HEXAGON?
AREA OF A HEXAGON
If a polygon is REGULAR, all its sides are equal
BEFORE MOVING ON, LET'S HAVE A LOOK AT THE AREA-PERIMETER RATIOS FOR A FEW
Why are honeycombs hexagonal?
Why do honeybees use HEXAGONAL structures? That too, REGULAR hexagons? Don't stress your brain, let us explain.
What exactly, can be called as a hexagon?
THIS FIGURE that
you're looking at
Polygon (closed figure)
6 interior angles (obviously)
HOW TO MAKE ONE RIGHT NOW
WHAT CAN BE SAID ABOUT
HAVE A LOOK AT THE ANGLES
CELLS IN A HONEYCOMB
ARE MADE OF
TO KNOW WHY WAX IS SO PRECIOUS, WE
SHOULD KNOW WHAT MAKES UP WAX...
Honeybees ingest honey to make beeswax. It takes approximately 8 kg of honey to produce 1 kg of wax. When the wax leaves the bee's body and comes in contact with the air, it causes the wax to solidify into dinner-plate shaped flakes. Then bees carefully mold the wax into the perfect honeycomb structure
AFTER DOING SOME MATH, YOU'LL REALIZE THAT ITS THE GREATEST FOR REGULAR HEXAGONS
HEXAGONS GIVE THE MOST AREA FOR A UNIT LENGTH OF WAX WALL. HENCE, THEY ARE PREFERRED.
THE HONEYCOMB CONJECTURE
YES, HE'S THE ONE
THANKS FOR BEING A PART OF THE
COURSE ON ARCHITECTURAL DESIGN
BY UC 'BEE'RKELEY
3D Structure of a honeycomb cell
YES, FINALLY, IT'S OVER. THANKS FOR YOUR UNDIVIDED ATTENTION
#MitosisPuns :P #BIO
Area of hexagon=