# Euclid's Muse

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# Search Results for “clocks”

##### Reflected Clocks
A button lets you reflect the clock, first through a vertical line, then through a horizontal line.  A third press applies a further reflection to the reflected clocks.  Notice that the singly reflected clocks move counter-clockwise, but the doubly-reflected clock moves clockwise (and is in fact just an upside down version of the original clock.

Tags: clock

##### Abacus Explained Properly
Our helpful readers have pointed out the error of our 5's beads going the opposite way, so here is the app showing the right way to display numbers on 2 columns of an abacus.

Tags: abacus, clocks

##### Binary Clock
In our binary digital clock, beads in the up position represent the binary digit 1, beads in the down position represent 0.  Bead positions represent binary numbers:  red beads for hours, purple for minutes and cyan for seconds.

Tags: clocks, binary-numbers

##### Reflection Clock
You can reﬂect the triangle in the minute hand, then reﬂect the reﬂection in the second hand.  How long does it take to do a complete rotation? You can change the triangle by dragging the red points.

Tags: clocks, reflections

##### Abacus Explained
The bead at the top of each column counts for 5 beads in the main compartment in that column. The beads in the main compartment of the left column each count for 10 single beads. The bead in the top compartment of the left column counts as 50.  But the top compartment is upside down in this app.  To learn the correct Abacus model, go to  Abacus Explained Properly in this collection:  http://euclidsmuse.com/app?id=1017.

Tags: clocks, Abacus

##### reflected clocks
A reflection for Hogmanay- a look at time forwards, backwards and upside down.

Tags: clock, reflection, transformation

##### Abacus Clock
It has been brought to our attention that this clock is, in some sense, upside down!  The 5's beads in the top section are going up to indicate 5, instead of down.  To get the conventional Abacus model, go to the Abacus Corrected in this collection:  http://euclidsmuse.com/app?id=1016.

Tags: clocks, Abacus

##### Morphing Clock
Is this clock a circle, or a square, or something in-between, or something beyond? Not only do the hands move in this clock, but its shape changes with time. At the hour it is circular, at the quarter hours it is square and at the half hour, it has gone beyond square to a concave curved square shape. The morphing is achieved by taking a linear combination of the parametric representation of a square and a circle.

Tags: clocks

##### Morph a circle into a line
A morphing operation can be defined between any pair of parametric curves, open or closed. This app shows morphing a circle into a line segment.  Try moving the location of the destination line segment relative to the start of the circle’s parametrization by dragging the red dots to get diﬀerent morph curves.

Tags: morph-circle-into-line, clocks, morph-clock-explained

##### Morph a circle into a square
Geometrically, the morph curve is constructed by joining two corresponding points on the original curves by a line, and then positioning a third point at a specific proportion along this line.  Drag the middle red dot to see the morph curve change.

Tags: clocks, Morph-curve