learning log

Topics: Group, Symmetry, Geometry Pages: 2 (405 words) Published: September 25, 2014
LEARNING LOG 1: Observe, Connect and Reflect on Your Learning To gaze is to think. Salvador Dali

PART I – Concepts in Symmetry


Focus Image


Your Observations
(20 - 30 words) (2 marks)

Describe the symmetry of
the Viking shield.

The rotational angle is 360°/4 = 90°
There are 4 mirror lines whereby 2 are unique.

Complete at the end of

Week 1

Image 1
(20 - 30 words) (2 marks)

What was the most
surprising or interesting
fact you learnt from
Week 1 lectures

Surprising fact was that I realized almost most objects around us have reflection and rotation operations and I wasn’t aware of it all these years, till I learnt it recently

(20 - 30 words) (2 marks

Describe the symmetrical
elements you see in this
Japanese embroidery.

No mirror lines; 3-fold rotation (triad); point symmetry is 3 whereby the rotational angle is 360°/3 = 120°)

Complete at the end of

Week 2
Image 2
(up to 20 words) (2 marks)

Can you add anything to
your Week 1 description
of the Viking shield?

There is a 4-fold rotation (tetrad).


You can’t criticize geometry. It’s never wrong. Paul Rand

PART II – Plane (2D) and Space (3D) Symmetry


Focus Image


Your Observations
(up to 40 words) (2 marks)

Use the formal
descriptors of plane
symmetry to describe this
bathroom tile

This is a p4mm (No.11)
The tile has Mirror lines, glide lines, 2-fold rotation and 4-fold rotation

Complete at the end of

Week 3
Image 3
(up to 20 words) (2 marks)

How are you now more
observant of symmetry in
your surroundings? Use

I now notice that most of the things around us are symmetric. For example, observed the bricks of my HDB house are c2mm (No.9).

(30 - 40 words) (2 marks)

The triangle in Image 4 is
weird. Was Paul Rand
correct – geometry is
never wrong?

Paul Rand is right. Geometry is never wrong but art can deceive. Artist can misrepresent...
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